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Mathematics

D-Index
31
Citations
4471
World Ranking
3322
National Ranking
1305

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Krzysztof Burdzy is affiliated with the University of Washington in the United States. The primary field of study is Mathematics, with a focus on several subfields including Mathematical Physics, Statistical and Nonlinear Physics, Finance, Statistics and Probability, and Molecular Biology.

The scientist's research covers multiple main topics, notably:

  • Stochastic processes and statistical mechanics
  • Mathematical Dynamics and Fractals
  • Stochastic processes and financial applications
  • Quantum chaos and dynamical systems
  • Complex Systems and Time Series Analysis
  • Advanced Thermodynamics and Statistical Mechanics
  • Advanced Mathematical Modeling in Engineering

Recent publications highlight active contributions in these areas. Notable papers include:

  • "Can Coherent Predictions be Contradictory?" (2021) published in Advances in Applied Probability
  • "Archimedes' Principle for Ideal Gas" (2022) published in Communications in Mathematical Physics
  • "An Improved Upper Bound on the Number of Billiard Ball Collisions" (2022) published in Communications in Mathematical Physics
  • "On the spine of the two-particle Fleming-Viot process driven by Brownian motion" (2024) published in Electronic Communications in Probability

The scientist frequently collaborates with other researchers. Key co-authors include:

  • Richard F. Bass
  • János Engländer
  • Tvrtko Tadić
  • Maurício Duarte
  • Soumik Pal

Publication venues where Burdzy's work appears frequently include:

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

The scientist has also contributed to book literature, with a publication titled Hypocrisy++ released in 2024 by World Scientific.

Recognition received by the scientist includes the distinction of Fellow of the American Mathematical Society awarded in 2013.

Best Publications

  • Censored stable processes

    Krzysztof Bogdan;Krzysztof Burdzy;Zhen-Qing Chen

  • On the “Hot Spots” Conjecture of J. Rauch

    Rodrigo Banuelos;Krzysztof Burdzy

  • Stochastic differential equations driven by stable processes for which pathwise uniqueness fails

    Richard F. Bass;Krzysztof Burdzy;Zhen-Qing Chen

  • Fast Equilibrium Selection by Rational Players Living in a Changing World

    K Burdzy;D-M Frankel;Ady Pauzner

  • Some path properties of iterated Brownian motion

    Krzysztof Burdzy

  • A counterexample to the “hot spots” conjecture

    Krzysztof Burdzy;Wendelin Werner

  • A Fleming-Viot Particle Representation of the Dirichlet Laplacian

    Krzysztof Burdzy;Robert Hołyst;Peter March

  • Efficient Markovian couplings: examples and counterexamples

    Krzysztof Burdzy;Wilfrid S. Kendall

  • The heat equation and reflected Brownian motion in time-dependent domains

    Krzysztof Burdzy;Zhen-Qing Chen;John Sylvester

  • The Skorokhod problem in a time-dependent interval

    Krzysztof Burdzy;Krzysztof Burdzy;Weining Kang;Weining Kang;Kavita Ramanan;Kavita Ramanan

  • A boundary Harnack principle in twisted Holder domains

    Richard F. Bass;Krzysztof Burdzy

  • On Neumann eigenfunctions in lip domains

    Rami Atar;Krzysztof Burdzy

  • Nonintersection Exponents for Brownian Paths. II. Estimates and Applications to a Random Fractal

    Krzysztof Burdzy;Gregory F. Lawler

  • Lifetimes of conditioned diffusions

    Richard F. Bass;Krzysztof Burdzy

  • Multidimensional Brownian excursions and potential theory

    K. Burdzy

  • Configurational transition in a Fleming - Viot-type model and probabilistic interpretation of Laplacian eigenfunctions

    Krzysztof Burdzy;Robert Holyst;David Ingerman;Peter March

  • Fiber Brownian motion and the "hot spots" problem

    Richard F. Bass;Krzysztof Burdzy

  • The hot spots problem in planar domains with one hole

    Krzysztof Burdzy

  • Variation of iterated Brownian motion

    Krzysztof Burdzy

  • Hölder domains and the boundary Harnack principle

    Rodrigo Bañuelos;Richard F. Bass;Krzysztof Burdzy

Frequent Co-Authors

Richard F. Bass
Richard F. Bass University of Connecticut
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Robert Hołyst
Robert Hołyst Polish Academy of Sciences
Kavita Ramanan
Kavita Ramanan Brown University
Martin T. Barlow
Martin T. Barlow University of British Columbia
Maury Bramson
Maury Bramson University of Minnesota
Gregory F. Lawler
Gregory F. Lawler University of Chicago
Bruce E. Sagan
Bruce E. Sagan Michigan State University
Wendelin Werner
Wendelin Werner University of Cambridge
Davar Khoshnevisan
Davar Khoshnevisan University of Utah

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