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Overview

Lenya Ryzhik is affiliated with Stanford University in the United States and has contributed extensively to the field of mathematics, with a particular focus on mathematical physics, applied mathematics, finance, and public health, environmental and occupational health. Their research encompasses a range of topics including stochastic processes and statistical mechanics, financial applications of stochastic processes, mathematical and theoretical epidemiology and ecology models, and nonlinear partial differential equations.

Their recent academic papers include:

  • Stationary Solutions to the Stochastic Burgers Equation on the Line, 2021, Communications in Mathematical Physics
  • Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts, 2023, Archive for Rational Mechanics and Analysis
  • Fisher-KPP equation with small data and the extremal process of branching Brownian motion, 2020, arXiv (Cornell University)
  • Chemotaxis and reactions in biology, 2022, Journal of the European Mathematical Society
  • The Speed of a Random Front for Stochastic Reaction-Diffusion Equations with Strong Noise, 2021, Communications in Mathematical Physics

Lenya Ryzhik has collaborated frequently with several coauthors, including:

  • Christopher Henderson
  • Jean-Michel Roquejoffre
  • Joonhyun La
  • Alexander Dunlap
  • Cole Graham

Their publications have appeared predominantly in venues such as:

  • arXiv (Cornell University)
  • Nonlinearity
  • Archive for Rational Mechanics and Analysis
  • Communications in Mathematical Physics
  • Journal of the European Mathematical Society

Lenya Ryzhik's research fields are focused on Mathematics, with subfields including Mathematical Physics, Applied Mathematics, Finance, Public Health, Environmental and Occupational Health, and Computational Theory and Mathematics. Their body of work addresses several main topics:

  • Stochastic processes and statistical mechanics
  • Stochastic processes and financial applications
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Theoretical and Computational Physics
  • Fractional Differential Equations Solutions

Best Publications

  • The non-local Fisher-KPP equation: travelling waves and steady states

    Henri Berestycki;Grégoire Nadin;Benoit Perthame;Benoit Perthame;Lenya Ryzhik

  • Diffusion and mixing in fluid flow

    Peter Constantin;Alexander Kiselev;Lenya Ryzhik;Andrej Zlatoš

  • Exponential decay for the fragmentation or cell-division equation

    Benoît Perthame;Lenya Ryzhik

  • A short proof of the logarithmic Bramson correction in Fisher-KPP equations

    François Hamel;James Nolen;Jean-Michel Roquejoffre;Lenya Ryzhik

  • Biomixing by Chemotaxis and Enhancement of Biological Reactions

    Alexander Kiselev;Lenya Ryzhik

  • Traveling waves in a one-dimensional heterogeneous medium

    James Nolen;Lenya Ryzhik

  • Finite time singularity for the modified SQG patch equation

    Alexander Kiselev;Lenya Ryzhik;Yao Yao;Andrej Zlato{š}

  • Existence and non-existence of Fisher-KPP transition fronts

    James Nolen;Jean-Michel Roquejoffre;Lenya Ryzhik;Andrej Zlatoš

  • Stability of Generalized Transition Fronts

    Antoine Mellet;James Nolen;Jean-Michel Roquejoffre;Lenya Ryzhik

  • Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case

    Alexander Kiselev;Lenya Ryzhik

  • Global Regularity for the Fractional Euler Alignment System

    Tam Do;Alexander Kiselev;Lenya Ryzhik;Changhui Tan

  • Kinetic limits for waves in a random medium

    Guillaume Bal;Tomasz Komorowski;Lenya Ryzhik

  • STABILITY IN A NONLINEAR POPULATION MATURATION MODEL

    Stéphane Mischler;Benoît Perthame;Lenya Ryzhik

  • On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds

    François Hamel;Lenya Ryzhik

  • Traveling waves for the Keller–Segel system with Fisher birth terms

    Gregoire Nadin;Benoît Perthame;Lenya Ryzhik

  • Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity

    Henri Berestycki;Nancy Rodriguez;Lenya Ryzhik

  • Self-Averaging of Wigner Transforms in Random Media

    Guillaume Bal;Tomasz Komorowski;Lenya Ryzhik

  • KPP pulsating front speed-up by flows

    Lenya Ryzhik;Andrej Zlatoš

  • The logarithmic delay of KPP fronts in a periodic medium

    Francois Hamel;James Nolen;Jean-Michel Roquejoffre;Lenya Ryzhik

  • Quenching and Propagation in KPP Reaction-Diffusion Equations with a Heat Loss

    Henri Berestycki;Francois Hamel;Alexander Kiselev;Leonid Ryzhik

Frequent Co-Authors

Alexander Kiselev
Alexander Kiselev Duke University
Jean-Michel Roquejoffre
Jean-Michel Roquejoffre Toulouse Mathematics Institute
Guillaume Bal
Guillaume Bal University of Chicago
Peter Constantin
Peter Constantin Princeton University
Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
Henri Berestycki
Henri Berestycki Centre d'Analyse et de Mathématique Sociales
Benoît Perthame
Benoît Perthame Sorbonne University
François Hamel
François Hamel Aix-Marseille University
George Papanicolaou
George Papanicolaou Stanford University
Stefano Olla
Stefano Olla Paris Dauphine University

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