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  1. No Access

    Article

    Large deviations for a symmetric branching random walk on a multidimensional lattice

    An important role in the theory of branching random walks is played by the problem of the spectrum of a bounded symmetric operator, the generator of a random walk on a multidimensional integer lattice, with a ...

    S. A. Molchanov, E. B. Yarovaya in Proceedings of the Steklov Institute of Mathematics (2013)

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    On decoupling of functions of normal vectors. II

    P. G. Grigoriev, S. A. Molchanov in Mathematical Notes (2013)

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    Limit theorems and phase transitions for two models of summation of iid random variables depending on parameters

    M. Grabchak, S. A. Molchanov in Doklady Mathematics (2013)

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    Article

    Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation

    S. A. Molchanov, E. B. Yarovaya in Doklady Mathematics (2012)

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    On decoupling of functions of normal vectors

    Two decoupling type inequalities for functions of Gaussian vectors are proved. In both cases, it turns out that the case of linear functions is the extreme one. The proofs involve certain properties ofWick’s (...

    P. G. Grigoriev, S. A. Molchanov in Mathematical Notes (2012)

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    Article

    Branching processes with lattice spatial dynamics and a finite set of particle generation centers

    S. A. Molchanov, E. B. Yarovaya in Doklady Mathematics (2012)

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    Article

    Diffusion processes on solvable groups of upper triangular 2×2 matrices and their approximation

    V. D. Konakov, S. Menozzi, S. A. Molchanov in Doklady Mathematics (2011)

  8. Article

    Almost sure asymptotics for the continuous parabolic Anderson model

    We consider the parabolic Anderson problem ∂ t u = κΔu + ξ(x)u on ℝ+×ℝ d with initial condition u(0,x) = 1. Here κ > 0 is a diffusion constan...

    J. Gärtner, W. König, S.A. Molchanov in Probability Theory and Related Fields (2000)

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  9. Article

    Parabolic problems for the Anderson model

    This is a continuation of our previous work [6] on the investigation of intermittency for the parabolic equation (∂/∂t)u=Hu on ℝ+×ℤ d associated with the Anderson Hamiltonian H...

    J. Gärtner, S. A. Molchanov in Probability Theory and Related Fields (1998)

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  10. Article

    Stationary parabolic Anderson model and intermittency

    This paper is devoted to the analysis of the large time behavior of the solutions of the Anderson parabolic problem: $$\frac{{\partial u}}{{\p...

    R. A. Carmona, S. A. Molchanov in Probability Theory and Related Fields (1995)

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    Article

    Optimization of integral service networks

    E. V. Bulinskaya, S. A. Molchanov in Journal of Mathematical Sciences (1994)

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    Chapter and Conference Paper

    Long Memory Shot Noises and Limit Theorems with Application to Burgers’ Equation

    Shot noise processes and random fields with long memory are discussed. Convergence of the distribution of integrated polynomials of shot noise process with long memory to a self-similar process expressed as mu...

    L. Giraitis, S. A. Molchanov, D. Surgailis in New Directions in Time Series Analysis (1993)

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    Article

    Limit theorems for basic states of the anderson model

    A. Astrauskas, S. A. Molchanov in Functional Analysis and Its Applications (1992)

  14. No Access

    Article

    On the level density of random band matrices

    L. V. Bogachev, S. A. Molchanov… in Mathematical notes of the Academy of Scien… (1991)

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    Article

    Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials

    A. Ya. Gordon, S. A. Molchanov, B. Tsagani in Functional Analysis and Its Applications (1991)

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    Article

    The localization problem for a random elastic continuum with dispersion

    L. V. Berlyand… in Mathematical notes of the Academy of Sciences of the USSR (1991)

  17. No Access

    Article

    One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum

    W. Kirsch, S. A. Molchanov, L. A. Pastur in Functional Analysis and Its Applications (1990)

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    Article

    Spectral methods in the theory of differential-functional equations

    G. A. Derfel', S. A. Molchanov in Mathematical notes of the Academy of Sciences of the USSR (1990)

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    Article

    On T. Kato's problem regarding bounded solutions of differential-functional equations

    G. A. Derfel’, S. A. Molchanov in Functional Analysis and Its Applications (1990)

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    Article

    Percolation theory and some applications

    The goal of the survey is to present mathematically rigorous results obtained in the recent years in the new mathematical discipline: percolation theory, which is on the border between the theory of random fie...

    M. V. Men'shikov, S. A. Molchanov, A. F. Sidorenko in Journal of Soviet Mathematics (1988)

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