World's Best Scientists 2026 revealed!

Overview

Marek Biskup is affiliated with the University of California, Los Angeles, in the United States. Their research primarily focuses on the field of Mathematics, with significant contributions to subfields such as Mathematical Physics, Condensed Matter Physics, Geometry and Topology, Statistics and Probability, and Molecular Biology.

The work conducted by Biskup centers around topics including stochastic processes and statistical mechanics, theoretical and computational physics, mathematical dynamics and fractals, geometry and complex manifolds, diffusion and search dynamics, Markov chains and Monte Carlo methods, and stochastic processes with financial applications.

Biskup has published extensively, with notable papers including:

  • Conformal Symmetries in the Extremal Process of Two-Dimensional Discrete Gaussian Free Field (2020), Communications in Mathematical Physics
  • Quenched Invariance Principle for a Class of Random Conductance Models with Long-Range Jumps (2020), arXiv (Cornell University)
  • Exceptional Points of Two-Dimensional Random Walks at Multiples of the Cover Time (2022), Probability Theory and Related Fields
  • Exceptional Points of Discrete-Time Random Walks in Planar Domains (2023), Electronic Journal of Probability
  • Quenched Invariance Principle for a Class of Random Conductance Models with Long-Range Jumps (2021), Probability Theory and Related Fields

Frequent collaborators in Biskup's research include Oren Louidor, Stephan Gufler, Takashi Kumagai, Yoshihiro Abe, and Andrew Krieger.

Publications appear most often in the following venues:

  • arXiv (Cornell University)
  • Probability Theory and Related Fields
  • Electronic Journal of Probability
  • Journal of Statistical Physics
  • Communications in Mathematical Physics

Best Publications

  • Quenched invariance principle for simple random walk on percolation clusters

    Noam Berger;Marek Biskup

  • Recent progress on the Random Conductance Model

    Marek Biskup

  • On the scaling of the chemical distance in long-range percolation models

    Marek Biskup

  • Functional CLT for Random Walk Among Bounded Random Conductances

    Marek Biskup;Timothy M Prescott

  • On the formation/dissolution of equilibrium droplets

    Marek Biskup;Lincoln Chayes;Roman Kotecky

  • Anomalous heat-kernel decay for random walk among bounded random conductances

    Noam Berger;Marek Biskup;Christopher E. Hoffman;Gady Kozma

  • On the formation/dissolution of equilibrium droplets

    M. Biskup;L. Chayes;R. Kotecký

  • Long-time tails in the parabolic Anderson model with bounded potential

    Marek Biskup;Wolfgang König

  • General theory of lee-yang zeros in models with first-order phase transitions

    M. Biskup;C. Borgs;J. T. Chayes;L. J. Kleinwaks

  • Extreme Local Extrema of Two-Dimensional Discrete Gaussian Free Field

    Marek Biskup;Oren Louidor;Oren Louidor

  • Reflection Positivity and Phase Transitions in Lattice Spin Models

    Marek Biskup

  • Phase coexistence of gradient Gibbs states

    Marek Biskup;Roman Kotecký

  • Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian Free Field

    Marek Biskup;Marek Biskup;Oren Louidor

  • Orbital order in classical models of transition-metal compounds

    Zohar Nussinov;Marek Biskup;Lincoln Chayes;Jeroen van den Brink

  • Critical region for droplet formation in the two-dimensional Ising model

    Marek Biskup;Lincoln Chayes;Roman Kotecky

  • Mean-Field Driven First-Order Phase Transitions in Systems with Long-Range Interactions

    Marek Biskup;Lincoln Chayes;Nicholas Crawford

  • A heteropolymer near a linear interface

    Marek Biskup;den WThF Frank Hollander

  • Critical region for droplet formation in the two-dimensional ising model

    Marek Biskup;Lincoln Chayes;Roman Kotecký

  • Rigorous Analysis of Discontinuous Phase Transitions via Mean-Field Bounds

    Marek Biskup;Lincoln Chayes

  • Extrema of the Two-Dimensional Discrete Gaussian Free Field

    Marek Biskup

Frequent Co-Authors

Jennifer Chayes
Jennifer Chayes University of California, Berkeley
Christian Borgs
Christian Borgs University of California, Berkeley
Steven A. Kivelson
Steven A. Kivelson Stanford University
Takashi Kumagai
Takashi Kumagai Waseda University
Roberto H. Schonmann
Roberto H. Schonmann University of California, Los Angeles
Herbert Spohn
Herbert Spohn Technical University of Munich
Anton Bovier
Anton Bovier University of Bonn
David C. Brydges
David C. Brydges University of British Columbia
Remco van der Hofstad
Remco van der Hofstad Eindhoven University of Technology
Jeroen van den Brink
Jeroen van den Brink Leibniz Institute for Solid State and Materials Research

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics, expanding your qualifications through online degrees can open numerous career opportunities. Many opt for programs that balance quality and convenience, such as the easiest mba program options, which allow students to gain essential business skills without overwhelming course loads.

If you’re aiming for advanced leadership roles, a 1 year dba program online offers a fast, flexible path to a Doctorate in Business Administration, perfect for professionals wanting to deepen their expertise quickly.

When budget is a consideration, exploring the cheapest online master's in finance can complement a mathematics background with finance knowledge, essential for careers in quantitative analysis and financial modeling.

For motivated learners, accelerated mba programs online provide a streamlined option to quickly advance your education while balancing professional commitments. These related pathways can broaden your skill set and enhance your marketability in various industries.

Best Scientists Citing Marek Biskup

Trending Scientists