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Mathematics

D-Index
37
Citations
7643
World Ranking
2451
National Ranking
161

Research.com Recognitions

  • 2020 - Fellow of the Royal Society, United Kingdom
  • 2020 - Member of the European Academy of Sciences
  • 2011 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
  • 2008 - Academie des sciences, France
  • 2008 - Member of Academia Europaea
  • 2006 - George Pólya Prize
  • 2006 - Fields Medal of International Mathematical Union (IMU) For his contributions to the development of stochastic Loewner evolution, the geometry of two-dimensional Brownian motion, and conformal field theory.

Overview

Wendelin Werner is affiliated with ETH Zurich in Switzerland. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with notable contributions in subfields such as Mathematical Physics, Condensed Matter Physics, Statistics and Probability, Finance, and Statistical and Nonlinear Physics.

The main topics of their work include:

  • Stochastic processes and statistical mechanics
  • Theoretical and Computational Physics
  • Mathematical Dynamics and Fractals
  • Random Matrices and Applications
  • Stochastic processes and financial applications
  • Complex Network Analysis Techniques
  • Quantum chaos and dynamical systems

Among recent papers authored or coauthored by Wendelin Werner are:

  • "Simple conformal loop ensembles on Liouville quantum gravity," 2022, The Annals of Probability
  • "Lecture notes on the Gaussian Free Field," 2020, arXiv (Cornell University)
  • "Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces," 2021, Probability Theory and Related Fields
  • "Near-critical spanning forests and renormalization," 2020, The Annals of Probability
  • "Simple Conformal Loop Ensembles on Liouville Quantum Gravity," 2020, arXiv (Cornell University)

Frequent coauthors include:

  • Scott Sheffield
  • Jason Miller
  • Ellen Powell
  • Stéphane Benoist

Wendelin Werner has published books with Durham University, including Lecture notes on the Gaussian free field released in 2020.

Their research has been featured predominantly in the following publication venues:

  • arXiv (Cornell University)
  • The Annals of Probability
  • Probability Theory and Related Fields

Wendelin Werner has received several awards and honors, such as:

  • Fellow of the Royal Society, United Kingdom (2020)
  • Member of the European Academy of Sciences (2020)
  • German National Academy of Sciences Leopoldina (2011), in Mathematics
  • Academie des sciences, France (2008)
  • Member of Academia Europaea (2008)
  • Fields Medal of the International Mathematical Union (IMU) (2006) for contributions to stochastic Loewner evolution, the geometry of two-dimensional Brownian motion, and conformal field theory
  • George Pólya Prize (2006)

Best Publications

  • Conformal invariance of planar loop-erased random walks and uniform spanning trees

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • CRITICAL EXPONENTS FOR TWO-DIMENSIONAL PERCOLATION

    Stanislav Smirnov;Wendelin Werner

  • Values of Brownian intersection exponents, I: Half-plane exponents

    Gregory F. Lawler;Oded Schramm;Oded Schramm;Wendelin Werner

  • Conformal restriction: The chordal case

    Gregory Lawler;Oded Schramm;Wendelin Werner

  • The Brownian loop soup

    Gregory F. Lawler;Wendelin Werner

  • Wendelin Werner: Random Planar Curves and Schramm-Loewner Evolutions

    Wendelin Werner

  • One-Arm Exponent for Critical 2D Percolation

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • On the scaling limit of planar self-avoiding walk

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • Random planar curves and Schramm-Loewner evolutions

    Wendelin Werner

  • Conformal loop ensembles: the Markovian characterization and the loop-soup construction

    Scott Sheffield;Wendelin Werner

  • The true self-repelling motion

    Balint A Toth;Wendelin Werner

  • Values of Brownian intersection exponents III: Two-sided exponents

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • The dimension of the planar Brownian frontier is 4/3

    Gregory F. Lawler;Oded Schramm;Wendelin Werner

  • Lectures on two-dimensional critical percolation

    Wendelin Werner

  • A counterexample to the “hot spots” conjecture

    Krzysztof Burdzy;Wendelin Werner

  • SLEs as boundaries of clusters of Brownian loops

    Wendelin Werner

  • Conformal Restriction, Highest-Weight Representations and SLE

    Roland Friedrich;Wendelin Werner;Wendelin Werner

  • Perturbed Brownian motions

    Mihael Perman;Wendelin Werner

  • The conformally invariant measure on self-avoiding loops

    Wendelin Werner

  • Universality for conformally invariant intersection exponents

    Gregory F. Lawler;Wendelin Werner

  • Lectures on probability theory and statistics

    Boris Tsirelson;Wendelin Werner;Jean Picard

Frequent Co-Authors

Gregory F. Lawler
Gregory F. Lawler University of Chicago
Oded Schramm
Oded Schramm Microsoft (United States)
Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Marc Yor
Marc Yor Sorbonne University
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Benoît Perthame
Benoît Perthame Sorbonne University

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