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Jeremy Quastel

Jeremy Quastel

Overview

Jeremy Quastel is a researcher affiliated with the University of Toronto in Canada, whose work primarily spans mathematics and physics. Their research output includes contributions to several fields of study such as mathematical physics, condensed matter physics, statistics and probability, finance, and statistical and nonlinear physics.

The topics covered in their publications emphasize stochastic processes and statistical mechanics, theoretical and computational physics, random matrices and applications, stochastic processes and financial applications, advanced mathematical physics problems, advanced mathematical theories, and aspects of advanced thermodynamics and statistical mechanics.

Frequent coauthors collaborating with Jeremy Quastel include Daniel Remenik, Konstantin Matetski, Li-Cheng Tsai, Tadahiro Oh, and Philippe Sosoe. These collaborations have resulted in a diverse set of research papers published in both preprint repositories and peer-reviewed journals.

Their publication record is distributed across several venues, notably:

  • arXiv (Cornell University)
  • Acta Mathematica
  • Forum of Mathematics Pi
  • Journal of the American Mathematical Society
  • The Annals of Probability

Recent papers illustrate the focus of their research:

  • "The KPZ fixed point", 2021, Acta Mathematica
  • "KP governs random growth off a 1-dimensional substrate", 2022, Forum of Mathematics Pi
  • "Convergence of exclusion processes and the KPZ equation to the KPZ fixed point", 2022, Journal of the American Mathematical Society
  • "Hydrodynamic large deviations of TASEP", 2021, arXiv (Cornell University)
  • "Solution of the Kolmogorov equation for TASEP", 2020, The Annals of Probability

The nature of their research explores advanced topics in stochastic and statistical mechanics with an emphasis on growth models and exclusion processes, often relating to the KPZ universality class. Several works involve rigorous mathematical treatments of random growth phenomena and hydrodynamic limits.

Jeremy Quastel's academic contributions reflect a multidisciplinary approach bridging mathematics and physics, focusing particularly on stochastic processes both in theoretical frameworks and computational methodologies.

Best Publications

  • Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

    Gideon Amir;Ivan Corwin;Jeremy Quastel

  • The intermediate disorder regime for directed polymers in dimension $1+1$

    Tom Alberts;Konstantin Khanin;Jeremy Quastel

  • The KPZ fixed point

    Konstantin Matetski;Jeremy Quastel;Daniel Remenik

  • Diffusion of color in the simple exclusion process

    Jeremy Quastel

  • Introduction to KPZ

    Jeremy Quastel

  • The One-Dimensional KPZ Equation and Its Universality Class

    Jeremy Quastel;Herbert Spohn

  • Diffusion processes in composite porous media and their numerical integration by random walks: Generalized stochastic differential equations with discontinuous coefficients

    Eric M. LaBolle;Jeremy Quastel;Graham E. Fogg;Janko Gravner

  • A class of growth models rescaling to KPZ

    Martin Hairer;Jeremy Quastel

  • Diffusion theory for transport in porous media: Transition- probability densities of diffusion processes corresponding to advection-dispersion equations

    Eric M. LaBolle;Jeremy Quastel;Graham E. Fogg

  • The Continuum Directed Random Polymer

    Tom Alberts;Konstantin Khanin;Jeremy Quastel

  • Renormalization Fixed Point of the KPZ Universality Class

    Ivan Corwin;Jeremy Quastel;Daniel Remenik

  • Effect of noise on front propagation in reaction-diffusion equations of KPP type

    Carl Mueller;Leonid Mytnik;Jeremy Quastel

  • Fluctuation exponent of the KPZ/stochastic Burgers equation

    Marton Balazs;Jeremy Quastel;Timo Seppalainen

  • Airy processes and variational problems

    Jeremy Quastel;Daniel Remenik

  • Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions

    Gregorio Moreno Flores;Jeremy Quastel;Daniel Remenik;Daniel Remenik

  • Large deviations for the symmetric simple exclusion process in dimensions d ≥ 3

    J. Quastel;F. Rezakhanlou;S. R. S. Varadhan

  • Exponential decay of entropy in the random transposition and Bernoulli-Laplace models

    Fuqing Gao;Jeremy Quastel

  • Kpz equation, its renormalization and invariant measures

    Tadahisa Funaki;Jeremy Quastel

  • Crossover distributions at the edge of the rarefaction fan

    Ivan Corwin;Jeremy Quastel

  • THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS

    J. D. Quastel

Frequent Co-Authors

Ivan Corwin
Ivan Corwin Columbia University
Horng-Tzer Yau
Horng-Tzer Yau Harvard University
Claudio Landim
Claudio Landim Instituto Nacional de Matemática Pura e Aplicada
Herbert Spohn
Herbert Spohn Technical University of Munich
Martin Hairer
Martin Hairer Imperial College London
Graham E. Fogg
Graham E. Fogg University of California, Davis
Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Gérard Ben Arous
Gérard Ben Arous Courant Institute of Mathematical Sciences
Kenneth L. Verosub
Kenneth L. Verosub University of California, Davis
Srinivasa Varadhan
Srinivasa Varadhan Courant Institute of Mathematical Sciences

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