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Mathematics

D-Index
52
Citations
8688
World Ranking
980
National Ranking
452

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Richard F. Bass is affiliated with the University of Connecticut in the United States and specializes in the field of Mathematics with a primary focus on Mathematical Physics.

Their research spans various subfields including:

  • Mathematical Physics
  • Finance
  • Statistical and Nonlinear Physics
  • Economics and Econometrics
  • Applied Mathematics

They have contributed significantly to topics such as:

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

Among their recent papers are:

  • "The rate of escape of the most visited site of Brownian motion" (2023, Electronic Journal of Probability)
  • "Pathwise non-uniqueness for Brownian motion in a quadrant with oblique reflection" (2024, arXiv (Cornell University))
  • "The supremum of Brownian local times on Hölder curves, II" (2023, arXiv (Cornell University))
  • "Two results from Mandelbaum's paper: 'The dynamic complementarity problem'" (2024, arXiv (Cornell University))
  • "Uniqueness for the Skorokhod problem in an orthant: critical cases" (2024, arXiv (Cornell University))

Their frequent coauthors include:

  • Krzysztof Burdzy, with whom they have collaborated on six publications

Their work is regularly published in venues such as:

  • arXiv (Cornell University)
  • Electronic Journal of Probability
  • Annales de l' Institut Henri Poincaré Probabilités et Statistiques
  • Probability Theory and Related Fields

They have been recognized as a Fellow of the American Mathematical Society since 2013, indicating involvement with the professional mathematical community over an extended period.

Best Publications

  • Probabilistic Techniques in Analysis

    Richard F. Bass

  • Diffusions and Elliptic Operators

    Richard F. Bass

  • Brownian Motion and Harmonic Analysis on Sierpinski Carpets

    Martin T. Barlow;Richard F. Bass

  • The construction of brownian motion on the Sierpinski carpet

    Martin T. Barlow;Richard F. Bass

  • Non-local dirichlet forms and symmetric jump processes

    Martin T. Barlow;Richard F. Bass;Zhen-Qing Chen;Moritz Kassmann

  • Harnack Inequalities for Jump Processes

    Richard F. Bass;David A. Levin

  • Some Potential Theory for Reflecting Brownian Motion in Holder and Lipschitz Domains

    Richard F. Bass;Pei Hsu

  • Uniqueness in law for pure jump Markov processes

    R. F. Bass

  • Transition densities for Brownian motion on the Sierpinski carpet

    Martin T. Barlow;Richard F. Bass

  • The Liouville Property and a Conjecture of De Giorgi

    Martin T. Barlow;Richard F. Bass;Changfeng Gui

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

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

  • Stochastic Processes

    Richard F. Bass

  • Transition Probabilities for Symmetric Jump Processes

    Richard F. Bass;David A. Levin

  • Stability of parabolic Harnack inequalities on metric measure spaces

    Martin T. Barlow;Richard F. Bass;Takashi Kumagai

  • Harnack inequalities for non-local operators of variable order

    Richard F. Bass;Moritz Kassmann

  • Uniqueness for diffusions with piecewise constant coefficients

    R. F. Bass;E. Pardoux

  • Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order

    Richard F. Bass;Moritz Kassmann

  • Regularity results for stable-like operators☆

    Richard F. Bass

  • Stochastic differential equations with jumps

    Richard Bass;Storrs

  • Uniqueness of Brownian motion on Sierpinski carpets

    Martin T. Barlow;Richard F. Bass;Takashi Kumagai;Alexander Teplyaev

  • Brownian motion on the Sierpinski carpet

    Martin T. Barlow;Richard F. Bass;Takashi Kumagai;Alexander Teplyaev

Frequent Co-Authors

Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Martin T. Barlow
Martin T. Barlow University of British Columbia
Jay Rosen
Jay Rosen City University of New York
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Takashi Kumagai
Takashi Kumagai Waseda University
Edwin Perkins
Edwin Perkins University of British Columbia
Davar Khoshnevisan
Davar Khoshnevisan University of Utah
Karlheinz Gröchenig
Karlheinz Gröchenig University of Vienna
Martin Hairer
Martin Hairer Imperial College London
Rodrigo Bañuelos
Rodrigo Bañuelos Purdue University West Lafayette

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