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D-Index & Metrics

Mathematics

D-Index
34
Citations
4311
World Ranking
2935
National Ranking
121

Overview

Edwin Perkins is affiliated with the University of British Columbia in Canada. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with a notable focus on Mathematical Physics and related subfields such as Finance, Condensed Matter Physics, Statistical and Nonlinear Physics, and Geometry and Topology.

The main topics addressed in their work include stochastic processes and statistical mechanics, stochastic processes and financial applications, mathematical dynamics and fractals, theoretical and computational physics, advanced topology and set theory, diffusion and search dynamics, as well as opinion dynamics and social influence.

Edwin Perkins has contributed papers to a variety of academic venues. Frequent publication venues include:

  • The Annals of Probability
  • Electronic Journal of Probability
  • Communications in Mathematical Physics
  • arXiv (Cornell University)

Some recent publications by Perkins are:

  • On the topological boundary of the range of super-Brownian motion, 2020, The Annals of Probability
  • Historical Lattice Trees, 2023, Communications in Mathematical Physics
  • Rescaling the spatial Lambda-Fleming-Viot process and convergence to super-Brownian motion, 2020, Electronic Journal of Probability
  • A stochastic differential equation for local times of super-Brownian motion, 2023, arXiv (Cornell University)
  • A complete convergence theorem for the q-voter model and other voter model perturbations in two dimensions, 2025, Electronic Journal of Probability

Collaborative efforts feature frequent co-authors including Jieliang Hong, Leonid Mytnik, Manuel Cabezas, Alexander Fribergh, and Mark Holmes.

Best Publications

  • Brownian motion on the Sierpinski gasket

    Martin T. Barlow;Edwin A. Perkins

  • Super-Brownian motion: Path properties and hitting probabilities

    D. A. Dawson;I. Iscoe;E. A. Perkins

  • Rescaled voter models converge to super-Brownian motion

    J. Theodore Cox;Richard Durrett;Edwin A. Perkins

  • Polar Sets and Multiple Points for Super-Brownian Motion

    Edwin Perkins

  • A space-time property of a class of measure-valued branching diffusions

    Edwin A. Perkins

  • Measure-valued branching diffusions with singular interactions

    Steven N. Evans;Edwin A. Perkins

  • Rescaled contact processes converge to super-Brownian motion in two or more dimensions

    Richard Durrett;Edwin A. Perkins

  • Nonstandard construction of the stochastic integral and applications to stochastic differential equations. II

    Douglas N. Hoover;Edwin Perkins

  • Collision local times and measure-valued processes

    Martin T. Barlow;Steven N. Evans;Edwin A. Perkins

  • A Global Intrinsic Characterization of Brownian Local Time

    Edwin Perkins

  • The exact Hausdorff measure of the level sets of Brownian motion

    Edwin Perkins

  • Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: the white noise case

    Leonid Mytnik;Edwin Perkins

  • On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients

    Leonid Mytnik;Edwin Perkins;Anja Sturm

  • The compact support property for solutions to the heat equation with noise

    Carl Mueller;Edwin A. Perkins

  • Long-time behavior and coexistence in a mutually catalytic branching model

    Donald A. Dawson;Edwin A. Perkins

  • Uniform measure results for the image of subsets under Brownian motion

    Edwin A. Perkins;S. James Taylor

  • Degenerate stochastic differential equations and super-Markov chains

    S. R. Athreya;M. T. Barlow;R. F. Bass;E. A. Perkins

  • Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains

    Richard F. Bass;Edwin A. Perkins

  • The Hausdorff measure of the closed support of super-brownian motion

    Edwin Perkins

  • 9. Markov Processes, Characterization and Convergence

    Edwin Perkins

  • Lectures on probability theory and statistics

    E. Bolthausen;E. Perkins;A.W. van der Vaart

Frequent Co-Authors

Martin T. Barlow
Martin T. Barlow University of British Columbia
Erwin Bolthausen
Erwin Bolthausen University of Zurich
Aad van der Vaart
Aad van der Vaart Delft University of Technology
Richard F. Bass
Richard F. Bass University of Connecticut
Donald A. Dawson
Donald A. Dawson Carleton University
Rick Durrett
Rick Durrett Duke University
Steven N. Evans
Steven N. Evans University of California, Berkeley
Jie Xiong
Jie Xiong University of Electronic Science and Technology of China
Remco van der Hofstad
Remco van der Hofstad Eindhoven University of Technology
Robin Pemantle
Robin Pemantle University of Pennsylvania

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