Landau Institute for Theoretical Physics, Chernogolovka, Last Sesessions of Scientific Council.

1. V.I. Zakharov (ITEP,Moscow and Max-Planck Institut, Munich)

   Lattice Quantum Chromodynamics and magnetic monopoles

   No annotation presented.

1. V.E. Zakharov

   Optimal canonical variables in the free surface dynamics of an ideal fluid

   No annotation presented.

2. A.I. Larkin

   Erenfest time in dynamical localization

   No annotation presented.

1. S.I. Anisimov, M.I. Tribelsky (MIREA)

   General phenomenological theory of nonlinear hydrodynamic waves in regions with smooth loss of convexity of isentropes

   No annotation presented.

2. M.I. Tribelsky (MIREA)

   Exact solution of the problem of probability density for a sum of random items

   No annotation presented.

1. D. Abanin, L.S. Levitov Tunable Fermi-Edge Resonance and Non-Commuting Scattering Matrices

   Abstract:

   Resonant tunneling into an open quantum dot is proposed as a vehicle to achieve a tunable Fermi-edge resonance of a Mahan-Nozieres-deDominicis form with a variable exponent in the I-V characteristic. The effect of scattering in a mesoscopic quantum dot on the exponent is shown to depend on a single parameter, the reflection amplitude of an extended scattering matrix of the system. Changing the reflection coefficient by varying the dot coupling to the leads and scattering inside the dot allows to explore a wide range of exponents.

1. Ya.V. Fominov

   Density of states in d-wave superconductors of finite size

   No annotation present.

1. E.G. Mishchenko

   Density of states, thermal conductivity and plasmon attenuation of a two-dimensional electron gas

   No annotation presented.

1. A.B. Kashuba

   Is there an Ultimate Speed of Magnetic Switching?

   No annotation presented.

1. S.N. Vergeles

   About the possible solution of cosmological constant problem in the frame of theory quantized by dynamic method

   No annotation presented.

2. R.B. Saptsov

   Condensate formation and vortex creation in the cooling Bose-gas

   No annotation presented.

1. I.V. Protopopov

   Theory of 4e versus 2e supercurrent in frustrated Josephson-junction rhombi chain

   No annotation presented.

1. P.M. Ostrovsky

   Coulomb effects in a mesoscopic SINIS junction

   No annotation presented.

1. V.V. Sokolov

   The Kowalewsky-Lyapunov test and integrable quadratic Hamiltonians on SO(4) and SO(3,1)

   No annotation presented.

1. KHARITONOV M.Yu.

   Nonmonotonic dependence of transition temperature on external magnetic field in a superconductor with magnetic and spin-orbit impurities.

   No annotation presented.

1. S.E. KORSHUNOV

   Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice.

   No annotation presented.

2. В.Р. Коган, А.Ф. Волков, В.В. Павловский

   Электрон-дырочный дисбаланс в мезоскопических структурах нормальный металл/сверхпроводник.

   No annotation present.

1. V. BAZHANOV

   Dissipative quantum systems and conformal field theory.

   No annotation presented.

1. M.V. Feigelman

   Phase transition to the state with zero conductivity.

   No annotation presented.

2. M.I. Tribelsky

   Soft-mode turbulence as a new type of chaos in distributed systems.

   No annotation presented.

1. O.A. Vasilyev, S.K. Nechaev

   Topological percolation on a square lattice

   We investigate the "topological percolation", i.e. the formation of an infinite cluster of mutually entangled threads in a (2+1)-dimensional system. We demonstrate that topological percolation belongs to the universality class of the standard 2D bond percolation. We compute the topological percolation threshold and demonstrate that the critical exponents of topological phase transition coincide with the ones of the standard 2D bond percolation. Our numerical check confirms well obtained analytical results.

1. K.S. TURITSYN, V.V. LEBEDEV, I.V. KOLOKOLOV, M.V. CHERTKOV

   Tumbling of polymers in shear flows with random strain.

   No annotation presented.

1. L.B. IOFFE

   Topologically protected ground states of spin and Josephson junction arrays and discrete Chern-Simons gauge theories.

   No annotation presented.

1. V.P. RUBAN

   Variational principle for frozen-in vortex structures interacting with sound waves.

   No annotation presented.

1. N.M. Chtchelkatchev, W. Belzig, and C. Bruder

   "Charge transport through a SET with a mechanically oscillating island"

   We consider a single-electron transistor (SET) whose central island is a nanomechanical oscillator. The gate capacitance of the SET depends on the mechanical displacement, thus, the vibrations of the island vibrations may strongly influence the current-voltage characteristics, current noise, and higher cumulants of the current. Harmonic oscillations of the island and oscillations with random amplitude (e.g., due to the thermal activation) change the transport characteristics in a different way. The noise spectrum has a peak at the frequency of the island oscillations; when the island oscillates harmonically, the peak reduces to a δ-peak. We show that knowledge of the SET transport properties helps to determine in what way the island oscillates, to estimate the amplitude, and the frequency of the oscillations.

1. A.I. DYACHENKO

   Freak waves and modulation instability.

   No annotation presented.

1. I.S. Burmistrov

   The anisotropic conductivity of two-dimensional electrons on half-filled high Landau levels.

   No annotation presented.

1. R.A.Usmanov, L.B.Ioffe, V.B.Geshkenbein, Ch.Helm, G.Blatter
   "Decoherence in superconducting quantum bits by phonon radiation"

   No annotation present.

2. K.A. Saraikin
   "Conformal Field Theory and Topological Strings"

   No annotation present.

3. P.M. Lushnikov
   "Integrable Dynamics of Interface between Ideal Fluid and Light Viscous Fluid"

   No annotation present.

1. Н.Б. Копнин "Одночастичный транспорт в неупорядоченных Андреевских проволоках"
2. Д.И. Подольский "О ковариантной регуляризации теории Лиувилля и гравитации в высших размерностях"

1. I.P.IVANOV, N.N. NIKOLAEV, W. SCHAEFER

   Impact of saturation on polarization effects in diffractive DIS.

   No annotation presented.

2. N.N. NIKOLAEV, W. SCHAEFER, B.G. ZAKHAROV, V.R. ZOLLER

   QCD evolution properties of high mass diffraction.

   No annotation presented.

1. D.S. Lyubshin, S.V. Savchenko

   Spectra of Laplacians on regular lattices and Cayley graphs.

   No annotation presented

2. Prinyatie "Osnovnykh dostizhenii ITF 2003 goda"

1. A.B. Shabat, V.G. Marikhin

   "Lagrangian approach in a problem of planar three-body motion"

   No annotation present

2. Prinyatie Plana NIR ITF na 2004 god

1. V. Fateev, M. Lashkevich

   Form factors of exponential fields for two-parametrical family of integrable models of quantum field theory.

   No annotation present

1. A.Ioselevich, F.Onufrieva, P.Pfeuty

   Phase stratification in quasi-two-dimensional metal close to a topological phase transition

2. M. A. Skvortsov, A. I. Larkin, M. V. Feigel'man

   Dephasing in disordered metals with superconductive grains

1. 1. Jean-Eric Wegrowe (Ecole Polytechnique, Paris)

   Spin dependent magnetoresistance in multiwall carbon nanotubes obtained by chemical vapour deposition

2. V.R. Kogan, K.B. Efetov

   Nonlinear sigma-model for long-correlated disorder

1. S.N. Vergeles. Discrete gravity, the species doubling problem of Dirac fermions and quantum anomalies.

   No annotation presented.

1. P.M. Lushnikov. Forwarding stimulated Brillouin scattering instability of a spatially and temporally incoherent laser beam.

   Spatial and temporal incoherence of laser beam is used to suppress self-focusing in experiments on inertial confinement fusion. It is found a temporal instability due to forward stimulated Brillouin scattering, which couples the beam to transversely propagating low frequency ion acoustic waves. Instability can result in strong self-focusing even for very short beam correlation time. Outside the instability region, the wave kinetic equation is derived which describes stationary diffusion of laser beam.

1. V.A. Belyakov. Temperature pitch variations in planar cholesteristic layers: role of fluctuations and surface anchoring.

   No annotation presented.

1. V.V. Lebedev. TBA

   No annotation presented.

1. S.K. Nechaev. On (1+1)D anisotropic ballistic deposition with links to the Ulam problem and (2+1)D directed percolation.
   Incompressible, inviscid, irrotational, and unsteady flows with circulation $\Gamma$ around a distorted toroidal bubble are considered. A general variational principle that determines the evolution of the bubble shape is formulated. For a two-dimensional (2D) cavity with a constant area $A$, exact pseudo-differential equations of motion are derived, based on variables that determine a conformal mapping of the unit circle exterior into the region occupied by the fluid. A closed expression for the Hamiltonian of the 2D system in terms of canonical variables is obtained. Stability of a stationary drifting 2D hollow vortex is demonstrated, when the circulation is relatively large, $gA^{3/2}/\Gamma^2\ll 1$. For a circulation-dominated regime of three-dimensional flows a simplified Lagrangian is suggested, inasmuch as the bubble shape is well described by the center-line $\g{R}(\xi,t)$ and by an approximately circular cross-section with relatively small area, $A(\xi,t)\ll (\oint |\g{R}'|d\xi)^2$. In particular, a finite-dimensional dynamical system is derived and approximately solved for a vertically moving axisymmetric vortex ring bubble with a compressed gas inside.
2. V.V. Sokolov. To one class of quadratic hamiltonians on $SO(4)$.
   No annotation presented.

1. V. P. Ruban, J. Juul Rasmussen. Toroidal bubbles with circulation in ideal hydrodynamics. A variational approach.
   Incompressible, inviscid, irrotational, and unsteady flows with circulation $\Gamma$ around a distorted toroidal bubble are considered. A general variational principle that determines the evolution of the bubble shape is formulated. For a two-dimensional (2D) cavity with a constant area $A$, exact pseudo-differential equations of motion are derived, based on variables that determine a conformal mapping of the unit circle exterior into the region occupied by the fluid. A closed expression for the Hamiltonian of the 2D system in terms of canonical variables is obtained. Stability of a stationary drifting 2D hollow vortex is demonstrated, when the circulation is relatively large, $gA^{3/2}/\Gamma^2\ll 1$. For a circulation-dominated regime of three-dimensional flows a simplified Lagrangian is suggested, inasmuch as the bubble shape is well described by the center-line $\g{R}(\xi,t)$ and by an approximately circular cross-section with relatively small area, $A(\xi,t)\ll (\oint |\g{R}'|d\xi)^2$. In particular, a finite-dimensional dynamical system is derived and approximately solved for a vertically moving axisymmetric vortex ring bubble with a compressed gas inside.
2. P.M. Ostrovski. Coulomb Blockade of Proximity Effect at Large Conductance.
   No annotation presented.

1. P.G. Grinevich. Dirichlet problem for the non-linear Schroedinger equation.
   No annotation presented.

1. A. Yu. Kitaev. Entanglement in one-dimensional and two-dimensional quantum systems.
   No annotation presented.

1. M.G. Khusainov (Kazan' State Technical University) Boundary conditions and 3D Larkin-Ovchinnikov-Fulde-Ferrel states in ferromagnet/superconductor heterostructures (40 min. talk + 30 min. discussion).
   No annotation presented.
2. A. Litvinov. Correlation functions in the scaling M(2,7) model (30 min).
   No annotation presented.

1. S.A. Bulgadaev. Exact results for conductivity of 2D isotropic heterophase systems.
   No annotation presented.
2. K.A. Saraikin. TBA.
   No annotation presented.

1. M.V. Pavlov. Classification of the Egorov hydrodynamic chains and corresponding (2+1) integrable dispersionless systems.
   No annotation presented.

1. A.O. Korotkevich, A.I. Dyachenko, V.E. Zakharov. Weak turbulence of gravity waves
   No annotation presented.
2. Ya.V. Fominov, A.A. Golubov, M.Yu. Kupriyanov. Decoherence due to nodal quasiparticles in D-wave qubits.
   We study the Josephson junction between two d-wave superconductors, which is discussed as an implementation of a qubit. We propose an approach that allows to calculate the decoherence time due to an intrinsic dissipative process: quantum tunneling between the two minima of the double-well potential excites nodal quasiparticles which lead to incoherent damping of quantum oscillations. The decoherence is weakest in the mirror junction, where the contribution of nodal quasiparticles corresponds to the superohmic dissipation and becomes small at small tunnel splitting of the energy level in the double-well potential. For available experimental data, we estimate the quality factor.

1. Ya.V. Fominov, A.A. Golubov, M.Yu. Kupriyanov. Triplet proximity effect in FSF trilayers.
   We study the critical temperature T_c of FSF trilayers (F is a ferromagnet, S is a singlet superconductor), where the triplet superconducting component is generated at noncollinear magnetizations of the F layers. An exact numerical method is employed to calculate T_c as a function of the trilayer parameters, in particular, mutual orientation of magnetizations. Analytically, we consider limiting cases. Our results determine conditions which are necessary for existence of recently investigated odd triplet superconductivity in SF multilayers.
2. O.V. Dimitrova. Phase diagram of a surface superconductor in parallel magnetic field.
   Detailed theory of phase diagram of clean 2D surface superconductor in a parallel magnetic field is presented. Regular spin-orbital interaction of the Rashba type leads to the inhomogeneous superconductive state of the Larkin-Ovchinnikov-Fulde-Ferrel (LOFF) type. We consider the case of relatively strong Rashba interaction and show that at low temperatures the LOFF-type state is separated from the usual homogeneous state by the first-order phase transition line. At higher temperatures new "helical" state intervenes between uniform BCS state and LOFF-like state. At the second-order transition line between BCS state and helical state one component of the superfluid density vanishes.

1. A.B. Teslyuk, S.A. Krashakov, L.N. Shchur. On universal rank distribution of WWW sites by popularity.
   No annotation presented.

1. S.V. Iordanskii. Fractional Quantum Hall effect, Jain's rule and topological textures
   No annotation presented.

1. Lev N. Shchur, Timofey Rostunov. On the Aizenman exponent in critical percolation.
   The probabilities of clusters spanning a hypercube of dimensions two to seven along one axis of a percolation system under criticality were investigated numerically. We used a modified Hoshen--Kopelman algorithm combined with Grassberger's "go with the winner" strategy for the site percolation. We carried out a finite-size analysis of the data and found that the probabilities confirm Aizenman's proposal of the multiplicity exponent for dimensions three to five. A crossover to the mean-field behavior around the upper critical dimension is also discussed.

1. N.M. Zubarev. Formation of singularities on the free surface of liquids in an electric field.
   No annotation presented.

1. I.M. Khalatnikov. A generalisation of the Heckmann-Schucking cosmological solution.
   No annotation presented.
2. U. Alam, V. Sahni, A.A. Starobinsky. Is dark energy decaying?
   No annotation presented.

1. M.V. Feigelman, L.Ioffe, G.Blatter. Tetrahedral superconducting qubit.
   No annotation presented.

1. A.S. Ioselevich. Topological phase transition and critical state of a porous metal.
   No annotation presented.

1. I. Burmistrov. Mean-field phase diagram of 2D electrons with disorder in a weak magnetic field.
   No annotation presented.
2. A.Dyachenko, A. Korotkevich. Numerical simulation of decaying capillary wave of large amplitude.
   No annotation presented.

1. Yu.N. Ovchinnikov. Multiparametric family of collapse solutions of critical nonlinear Schroedinger equation.
   No annotation presented.

1. L.A. Falkovsky. Inelastic light scattering from polar insulators
   No annotation presented.
2. P.D. Grigoriev. Orbital quantization in the high magnetic field state of a charge density wave system.
   No annotation presented.

1. V.P. Ruban. Applicability of the hodograph method in the problem of long-scale nonlinear dynamics of a thin vortex filament near a flat boundary.
   No annotation presented.

1. A.Ya. Maltsev. Quasiperiodic functions and 2D electron gas.
   No annotation presented.

1. A. Zenchuk. On the integration of some hierarchies of (2+n) dimensional partial differential equations.
   No annotation presented.
2. S. Gukov. Perturbative Analysis of Multi-Cut Matrix Models.
   No annotation presented.

1. V.P. Mineev. Longitudinal conductivity in layered metals under strong magnetic field.
   No annotation presented.
2. R. Usmanov. O vozmozhnosti realizatsii ideal'nogo kvantovogo bita v sisteme, sostavlennoi iz Dzhozefsonovskikh kontaktov.
   No annotation presented.

1. L.M. Berkovich. Factorization and transformations of differential equations. DSc degree thesis - 20 min.
   No annotation presented.
2. V. V. Lebedev. Long Tail of Outage Probability.
   No annotation presented.
3. A.I. Odesskii. Bihamiltonian elliptic structures.
   No annotation presented.
4. Scientific council.

1. A.Yu.Dem'yanov, N.A. Inogamov, A.M. Oparin. Two-phase turbulence in sloping pipes.
   No annotation presented.
2. S.E.Parkhomenko. Free field construction of D-branes in N=2 superconformal minimal models.
   No annotation presented.

1. A.M.Dyugaev, P.D.Grigoriev, P. Wyder. Charget complexes at the surface of liquid helium.
   No annotation presented.
2. S.A. Bulgadaev. Duality and effective conductivity of two-dimensional two-phase systems.
   No annotation presented.
3. S.A. Bulgadaev. Composite models of 2D random two-phase systems.
   No annotation presented.

1. M.A.Skvortsov. Dynamic localization in quantum dots.
   No annotation presented.
2. I.V. Polyubin. On Solutions to Commutativity Equations. No annotation presented.

1. N.N.Nikolaev, W.Schaefer, V.R.Zoller, B.G.Zakharov. Disappearance of jet-jet correlations in deep inelastic production off nuclear targets.
   No annotation presented.

1. Skvortsov M.A. Quantum correction to the Kubo formula in closed mesoscopic systems.
   No annotation presented.
2. Savchenko S.V. New problems in perturbation theory and their solutions for generic case.
   All the people are used to thinking that only new eigenvalues which appear in a small neighborhood of a fixed eigenvalue $\lambda$ of the original operator $A$ are considered in the classical perturbation theory. However, if the number of linear independent eigenvectors for $\lambda$ is greater than the rank $r$ of a perturbation $B,$ then $\lambda$ must also be in the spectrum of the new operator $C=A+B.$ What can one say about the change of the spectral properties of $\lambda$ when the matrix $A$ is replaced by $C$? In our paper we show that a generic perturbation of rank $r$ changes the Jordan form of $\lambda$ in the following way: $r$ largest Jordan blocks disappear and all the others remain the same. For the new matrix, the part of a Jordan basis corresponding to the eigenvalue is constructed. By means of the resolvent technique and the Binet-Cauchy formula we obtain the equation of the critical surface in the space of matrix entries of a perturbation out which the typical change of the spectral properties takes place. For the new eigenvalues we develop the first order perturbation theory.

1. Adler V.E., Veselov A.P. On the Cauchy problem for integrable discrete equation on quad-graph.
   No annotation presented.
2. V.G. Marikhin. Dynamics of energy levels and Ruijsenaars - Shneider system.
   No annotation presented.

1. Sokolov V.V. Symmetric approach for nonevolutionary equations.
   No annotation presented.

1. Borisov A.B. New classes of exact solutions for chiral SU(2) field (D=3) and n-field (D=3+1) and their geometric interpretation.
   No annotation presented.

1. L.A. Falkovski. Electron-phonon renormalization.
   No annotation presented.

1. V.E. Zakharov. Dynamics of the Bose-condensate.
   No annotation presented.
2. B. Doucot, M. Feigelman, L.Ioffe. Topological order in the insulating Josephson junction array (Part II).
   No annotation presented.

1. A. Beilinson. TBA
   No annotation presented.
2. B. Doucot, M. Feigelman, L.Ioffe. Topological order in the insulating Josephson junction array.
   No annotation presented.

1. S.I.Matveenko. Theory of pseudogaps in change density and 1D semiconductors.
   No annotation presented.

1. G. Fal'kovich, A. Fukson, M. Stepanov. Prerain droplets collisions in turbulent flow.
   No annotation presented.
2. V.P. Ruban and S.L. Senchenko. Local approximation for contour dynamics in effectively two-dimensional ideal electron-magnetohydrodynamic flows.
   The evolution of piecewise constant distributions of a conserved quantity related to the frozen-in canonical vorticity in effectively two-dimensional incompressible ideal EMHD flows is analytically investigated by the Hamiltonian method. The study includes the case of axisymmetric flows with zero azimuthal velocity component and also the case of flows with the helical symmetry of vortex lines. For sufficiently large size of such a patch of the conserved quantity, a local approximation in the dynamics of the patch boundary is suggested, based on the possibility to represent the total energy as the sum of area and boundary terms. Only the boundary energy produces deformation of the shape with time. Stationary moving configurations are described.

1. S.V.Iordanski, A.B. Kashuba. 2D multicomponent dense electron gas as a model of Si MOSFET.
   No annotation presented.

1. Ya.B. Sinai. TBA.
   No annotation presented.

1. M.V. Feigelman, A.Kamenev, M.A. Skvortsov, A.I. Larkin. Weak Coulomb blocade on superconducting island.
   No annotation presented.
2. N.M. Chtchelkatchev. Single Carbon Nanotube--Superconductor Entangler: noise correlations and EPR states.
   No annotation presented.

1. A.I. Zenchuk. On the construction of particular solution to nonlinear equations of mathematical physics.
   No annotation presented.

1. A.A. Belavin. Centre of Quantum Group for 8-Vertex Model.
   No annotation presented.
2. S.E. Brener. Jahn-Teller effect in inverse Si-layers.
   No annotation presented.

1. S.B. Bravyi. Schmidt theorem analogue for multipartite states.
   No annotation presented.
2. E. I. Kats, V. V. Lebedev, S. V. Malinin. Disclination motion in liquid crystalline films.
   We present theoretical study of a single disclination motion in a thin free standing liquid crystalline film. Back-flow effects and own dynamics of the orientational degree of freedom (bond or director angle) are included. We find the the orientation field and the hydrodynamic velocity distribution around the moving disclination, what allows us to relate the disclination velocity to the angle gradient far from the disclination. Different cases are examined depending on the ratio of the rotational and shear viscosity coefficients.

1. Grigoriev P.D. Interlayer magnetotransport in quasi-2D metals.
   The Shubnikov - de Haas effect in quasi-two-dimensional normal metals is studied. The interlayer conductivity is calculated using the Kubo formula. The electron scattering on short-range is considered in the self-consistent Born approximation. The result obtained differs from that derived from the Boltzmann transport equation. This difference is shown to be a general feature of conductivity in magnetic field. A detailed description of the two new qualitative effects -- the field-dependent phase shift of beats and of the slow oscillations of conductivity is provided. The results obtained are applicable to strongly anisotropic organic metals and to other quasi-two-dimensional compounds.
2. Ya.V. Fominov, A.A. Golubov, M.Yu. Kupriyanov. Nonsinusoidal current-phase relation in SFS Josephson junctions.
   Various types of the current-phase relation I(\phi) in superconductor-ferromagnet-superconductor (SFS) point contacts and planar double-barrier junctions are studied in the limit of thin diffusive ferromagnetic interlayers. The physical mechanisms leading to highly nontrivial I(\phi) dependence are identified by studying the spectral supercurrent density. These mechanisms are also responsible for the 0-\pi transition in SFS Josephson junctions.

1. Lesovik G.B., Lebedev A.V., Imambekov A.O. Dynamics of two well system interacting with random classical field.
   No annotation presented.
2. Akhmetshin A.A. Integrable system of particles on algebraic curves.
   No anntoation presented.

1. S.E.Korshunov. Analog of Kelvin-Helmholtz instability on superfluid liquid free surface.
   No annotation presented.
2. Vik.S.Dotsenko. Mean-Field Model of a Glass.
   No annotation presented.

1. Vasiliev O.A. Universality of the Crossing Probability for the Potts Model for q=1,2,3,4
   The universality of the crossing probability $\pi_{hs}$ of a system to percolate only in the horizontal direction, was investigated numerically by using a cluster Monte-Carlo algorithm for the $q$-state Potts model for $q=2,3,4$ and for the percolation $q=1$. We check the percolation through Fortuin-Kasteleyn clusters near the critical point on the square lattice by using representation of the Potts model as the correlated site-bond percolation model. It was shown that probability of a system to percolate only in the horizontal direction $\pi_{hs}$ has universal form $\pi_{hs}=A(q) Q\left( z \right)$ for $q=1,2,3,4$ as a function of the scaling variable $z= \left[ b(q)L^{\frac{1}{\nu(q)}}(p-p_{c}(q,L)) \right]^{\zeta(q)}$. Here, $p=1-\exp(-\beta)$ is the probability of a bond to be closed, $A(q)$ is the nonuniversal crossing amplitude, $b(q)$ is the nonuniversal metric factor, $\zeta(q)$ is the nonuniversal scaling index, $\nu(q)$ is the correlation length index. The universal function $Q(x) \simeq \exp(-z)$. Nonuniversal scaling factors was found numerically.
2. Novikov V.S., Mikhailov A.V. Perturbative Symmetry Approach.
   No annotation presented.

1. Degtyareva V.F. Structure and stability of high pressure phases in binary sp metal alloys.
   No annotation presented.
2. Korotkevich A.O., Dyachenko A.I. Decay instability of cappilar wave.
   No annotation presented.

1. N.A. Inogamov, A.M. Oparin. Gravity or convective turbulent mixing.
   Rayleigh--Taylor instability (RTI) is important for inertial confinement fusion (ICF), astrophysics and for atmospheric and oceanological applications. Mechanics of RTI is similar to the mechanics of convection. Therefore it is meaningful to consider both phenomena from common positions. The first part of work is devoted to this. The role of geometrical restrictions as lateral walls or horizontal plates is analyzed in this part. The structure of near-wall layers near such plates is studied. In the second part the internal structure of zone of RT turbulence (TMZ - turbulent mixing zone) is investigated numerically in case of mixing near a separation surface of two liquids of different density.
   (i) Existence of fast descending and ascending jets is revealed. Speed of movement of substance in them exceed speed of TMZ front. Deceleration of the fast moving jets occurs in a small vicinity of front. Such sharp deceleration results in occurrence of spots in which absolute values of deceleration are high. They exceed archimedean value $g_A = (1-\mu) g$ and are much larger than mean acceleration $\ddot h_+$ of front, where $\mu =\rho_l/\rho_h <1$ - is the ratio of densities. Spot is formed in a place of crossing of front and a jet. Other interesting detail of a mixing zone is occurrence of small areas of sharp pressure drop. In them there is a strong acceleration of a light liquid.
   (ii) The questions on characteristic horizontal scale of structures from bubbles and jets in a TMZ and on a spectrum of long-wave fluctuations are investigated.
2. S.V. Iordansky, A.B. Kashuba. Excitations in quantum Hall ferromagnet with strong Coulomb interaction.
   No annotation presented.

1. S. Bravyi. Entropy of a multi-particle pure quantum state.
   No annotation presented.
2. S. Gukov, K. Saraikin, A. Volovich. M-theory and new singular G_2-holonomy manifolds.
   No annotation presented.

1. S.N.Vergeles. An example of amorphous lattice in which fermion doubling is absent.
   No annotation presented.
2. E.N. Rumanov, A.Yu.Dovzhenko. Autowaves in the near threshold medium.
   No annotation presented.

1. L.V. Bogdanov. Quasiclassical dbar-dressing method and generating equations for dispersionless hierarchies.
   No annotation presented.
2. S.N.Vergeles. An example of amorphous lattice in which fermion doubling is absent.
   No annotation presented.

1. Maslova N. (MGU-FIAN) Neravnovesnye effecty pri tunnelirovanii cherez vzaimodeistvuyushchie andersonovskie primesi (Doklad po doktorskoi dissertatsii)
   No annotation presented.
2. Shchur L.N. Ob universal'nyh otnosheniyah kriticheskih amplitud dvumernyh modelei Pottsa.
   No annotation presented.
3. Shchur L.N. 10 let Internet-seti ITF i Nauchnogo tsentra v Chernogolovke.
   No annotation presented.

1. V. Sokolov. Sklyanin brackets and deformations of integrable dynamical systems.
   No annotation presented.
2. D. Podolsky. To the equation of state for lambda-term.
   No annotation presented.

1. Ya.V. Fominov. Critical current in SFIFS junctions.
   No annotation presented.
2. N.M.Shchelkachev. Electron transport in S/F - N - S/F junctions.
   No annotation presented.
3. N.N.Nikolaev. Saturation of nuclear partons.
   No annotation presented.

1. L.A. Falkovsky. Effect of electron-phonon interaction on phonons renormalization.
   No annotation presented.

1. Yu.N. Ovchinnikov, S.I. Vedeneev. The angular dependence of H_c2 in layered superconductors.
   No annotation presented.

1. V.A. Belyakov. Temperature and field hysteresis in a change of step of chiral liquid crystal in the thin layers.
   No annotation presented.
2. G.E. Volovik.
   No annotation presented.

1. Burmistrov I.S. Two-dimensional electron liquid with disorder in a weak magnetic field.
   No annotation presented.
2. Shabat A.B. Multi-phase solutions (nonintegrable case).
   No annotation presented.

1. Gubanov S.Yu. Generalized Heisenberg model.
   No annotation presented.
2. Vergeles S.N. An example of amorphous lattice in which fermion doubling is absent.
   No annotation presented.

1. P.M. Lushnikov. Random diffusion of optical pulse width in a disordered anisotropic optical media.
   A propagation of optical pulse in a one-dimensional optical media (optical fiber) with anisotropy disorder and random dispersion is described by a vector nonlinear Schr\"odinger equation with random coefficients. An averaged pulse width is shown to diffuse with propagation distance along optical fiber.

1. A.V. Odesskii. Local action of the symmetric group and twisted YB relation.
   No annotation presented.

1. P.G.Grinevich, S.P.Novikov. Real algebra-geometrical solutions to the Sine-Gordon equation: formula for topological charge.
   No annotation presented.
2. P.D.Grigoriev. Magnetoresistance oscillations in quasi-2D metals.
   No annotation presented.

1. N.B.Kopnin. Spectral flow in superconducting point contacts.
   No annotation presented.
2. S.G. Gykov. Black holes in D=2.
   No annotation presented.

1. O.A.Vasiliev. Topological correlations in trivial knots: new arguments argues for the crumple polymer globule.
   No annotation presented.
2. A.Yu. Kamenshchik. Chaplygin gas state equation in cosmology and brane physics.
   No annotation presented.

1. G.B. Lesovik. Reservoir as a source for probability in quantum mechanics. We propose a concept of theory of measurement in quantum mechanics. The result of the measurement in our concept is determined by the state of all involoved reservoirs (including the detector). Thus the reservoirs variables serve as a non-local "hidden" variables. We discuss the problems of derivation of the "psi squared" (due to Born) rule from the first principles. We discuss how one can technically to demonstrate the wave packet reduction, key question in the problem of measurement. We propose a way to resolve the "Schrodinger cat" paradox. Finally we discuss a connection of flicker and shot noise with the interpretation of quantum mechanics we proposed.

1. V.G.Kamenski. Ion currents in the flat membrane.
   No annotation presented.
2. P.L. Krotkov, V.P. Mineev. Upper critical field in a trigonal unconventional superconductor (UPt_3).
   A theory of the upper critical field in a trigonal superconductor with a two-component order-parameter is developed. We demonstrate the existence of sixfold modulations of the upper critical field in the basal plane. The form of the angular dependence of H_c2 in the plane of the main symmetry axis is studied in the whole range of phenomenological rigidity coefficients. A qualitative dependence H_c2 in the heavy fermion superconductor UPt_3 that has been recently found to possess trigonal crystalline structure.

1. V. P. Mineev and P. L. Krotkov. Spin susceptibility of the superfluid ^{3}He-B in aerogel.
   The temperature dependence of paramagnetic susceptibility of the superfluid ^{3}He-B in aerogel is found. Calculations have been performed for an arbitrary phase shift of s-wave scattering in the framework of BCS weak coupling theory and the simplest model of aerogel as an aggregate of homogeneously distributed ordinary impurities. Both limiting cases of the Born and unitary scattering can be easily obtained from the general result. The existence of gapless superfluidity starting at the critical impurity concentration depending on the value of the scattering phase has been demonstrated. While larger than in the bulk liquid the calculated susceptibility of the B-phase in aerogel proves to be conspicuously smaller than that determined experimentally in the high pressure region.

1. S. Gordienko, T. Meyer-ter-Vehr (MPQ, Garching). Atoms in superintense laser fields and attosecond pulse generation.
   No annotation presented.

1. S.E.Brener. Hall effect in three-dimensional layered structures in strong magnetic fields.
   No annotation presented.
2. E.A. Kuznetsov. Collapse in hydrodynamics and Kolmogorov spectra.
   No annotation presented.

1. V.E. Adler "On the classification of discrete KdV-type systems"
   No annotation presented.

1. A. Agalarov. Class of exact multisolitons, topological charge and color-conversion phenomenon in media with cubic nonlinearity.
   No annotation presented.

1. Ya.P. Pugai. On the form-factors in perturbed minimal CFT.
   No annotation presented.

1. A.Gorsky, K. Saraikin and K.Selivanov "Schwinger type processes via branes and their gravity duals"
   We consider Schwinger type processes involving the creation of the charge and monopole pairs in the external fields and propose interpretation of this processes via corresponding brane configurations in Type IIB string theory. We propose simple description of some interesting processes like monopole/dyon transitions in the electric field and W-boson/monopole transition in the magnetic field using the brane language. We study nonperturbative pair production in the strong coupling regime using the AdS/CFT correspondence. The treatment of the similar processes in the noncommutative theories where noncommutativity is traded for the background fields is presented and the possible role of the critical magnetic field which is S-dual to the critical electric field is discussed.
2. N. Shchelkachev. "pi-0 Transition in Superconductor-Ferromagnet-Superconductor junctions"
   No annotation presented.

1. A.G. Lebed'. Magnetic Field-Induced-Spin (Charge) Density Wave Phases.
   No annotation presented.

1. A.Belavin,A.Odesskii,R.Usmanov. New algebraic structures related with Baxter Q-operator.
   Mi rassmatrivaem neprivodimie ciklicheskie predstavleniya algebri matric monodromii, sootvetstvuyushie R-matrice shestivershinnoi modeli. V kornyah iz edinici Q-operator Baxtera mojet bit predstavlen kak sled proizvedeniya L-operatorov, otvechayushih odnomu iz takih predstavlenii. Dlya nego spravedlivo TQ-uravnenie.
2. A.S.Ioselevich. Quantum dimers from the Heisenberg model.
   No annotation presented.

1. V.E. Zakharov. No annotation presented.
2. N.N. Nikolaev. Polarization of vector mesons from inclusive hard processes. No annotation presented.