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Mathematics

D-Index
34
Citations
6829
World Ranking
2868
National Ranking
1165

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Stanislav Molchanov is affiliated with the University of North Carolina at Charlotte in the United States. Their research centers predominantly on mathematics, with a strong focus on mathematical physics as well as condensed matter physics, statistics and probability, applied mathematics, and computational theory and mathematics.

The main topics of their work encompass stochastic processes and statistical mechanics, advanced mathematical theories, theoretical and computational physics, spectral theory in mathematical physics, numerical methods in inverse problems, Markov chains and Monte Carlo methods, and advanced mathematical modeling in engineering.

Molchanov has published extensively across several academic venues, including arXiv (Cornell University), Russian Mathematical Surveys, Успехи математических наук, Mathematical Population Studies, and Methodology And Computing In Applied Probability.

Examples of recent papers authored or co-authored by Molchanov include:

  • The Dickman-Goncharov distribution, 2020, Russian Mathematical Surveys
  • Branching Random Walks with Two Types of Particles on Multidimensional Lattices, 2022, Mathematics
  • Branching Random Walks with Immigration. Lyapunov Stability, 2020, arXiv (Cornell University)
  • Branching random walk in a random time-independent environment, 2022, Mathematical Population Studies
  • Theorem of Furstenberg type for multiplicative stochastic integrals, 2020, Random Operators and Stochastic Equations

Their list of frequent co-authors includes Е. B. Yarovaya, Alexander Bendikov, Alexander Grigorʼyan, B. Vaĭnberg, and Vladimir Panov.

Stanislav Molchanov has been recognized as a Fellow of the American Mathematical Society since 2013.

Best Publications

  • Localization at large disorder and at extreme energies: an elementary derivation

    Michael Aizenman;Stanislav Molchanov

  • A pure point spectrum of the stochastic one-dimensional schrödinger operator

    I. Ya. Gol'dshtein;S. A. Molchanov;L. A. Pastur

  • DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY

    S A Molchanov

  • Parabolic Anderson Problem and Intermittency

    René A. Carmona;S. A. Molchanov

  • Parabolic problems for the Anderson model. I. Intermittency and related topics

    J. Gärtner;S. A. Molchanov

  • Kinematic dynamo problem in a linear velocity field

    Ya. B. Zel'Dovich;A. A. Ruzmaikin;S. A. Molchanov;D. D. Sokoloff

  • Intermittency in random media

    Ya B Zel'dovich;S A Molchanov;A A Ruzmaĭkin;Dmitrii D Sokolov

  • Parabolic problems for the Anderson model

    J. Gärtner;S. A. Molchanov

  • Stratified structure of the Universe and Burgers' equation : a probabilistic approach

    Sergio Albeverio;Stanislav A. Molchanov;Donatas Surgailis

  • Scattering Solutions in Networks of Thin Fibers: Small Diameter Asymptotics

    S. Molchanov;B. Vainberg

  • Kinematic dynamo in random flow

    S A Molchanov;A A Ruzmaĭkin;Dmitrii D Sokolov

  • Limit theorems for sums of random exponentials

    Gérard Ben Arous;Leonid V. Bogachev;Stanislav A. Molchanov

  • Simplicity of Eigenvalues in the Anderson Model

    Abel Klein;Stanislav Molchanov

  • Percolation theory and some applications

    Unknown

  • Intermittency, diffusion and generation in a nonstationary random medium

    Ya. B. Zeldovich;S. A. Molchanov;A. A. Ruzmaĭkin;D. D. Sokoloff

  • Hyperbolic asymptotics in Burgers' turbulence and extremal processes

    S. A. Molchanov;D. Surgailis;W. A. Woyczynski

  • Ideas in the theory of random media

    Stanislav A. Molchanov

  • Geometric characterization of intermittency in the parabolic Anderson model

    Jürgen Gärtner;Wolfgang König;Stanislav Molchanov

  • Stationary parabolic Anderson model and intermittency

    Rene A. Carmona;S. A. Molchanov

  • Almost sure asymptotics for the continuous parabolic Anderson model

    J. Gärtner;W. König;S.A. Molchanov

  • On the level density of random band matrices

    L. V. Bogachev;S. A. Molchanov;L. A. Pastur

Frequent Co-Authors

René Carmona
René Carmona Princeton University
Gérard Ben Arous
Gérard Ben Arous Courant Institute of Mathematical Sciences
Leonid Pastur
Leonid Pastur B Verkin Institute for Low Temperature Physics and Engineering
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Donatas Surgailis
Donatas Surgailis Vilnius University
Gennady El
Gennady El Northumbria University
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University
Sergio Albeverio
Sergio Albeverio University of Bonn
Richard D. Gill
Richard D. Gill Leiden University
Andrey Piatnitski
Andrey Piatnitski University of Tromsø - The Arctic University of Norway

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