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Overview

Ellen Powell

Assistant Professor, Probability

PhD University of Cambridge


Affiliations
AffiliationRoom numberTelephone
Assistant Professor, Probability in the Department of Mathematical SciencesCM231a+44 (0) 191 33 44160

Biography

Research Interests

My research involves, broadly, the study of random systems at criticality. I am particularly interested in critical phenomena, scaling limits and more generally, random geometry. This is the study of the random curves and surfaces which arise as scaling limits of critical statistical physics models.

Research interests

  • Probability Theory
  • Random Geometry

Research groups

  • Probability & Statistics: Probability
  • Probability & Statistics: Probability
  • Probability and Statistics

Publications

Journal Article

  • Berestycki, Nathanael, Powell, Ellen & Ray, Gourab (0). (1+epsilon)-moments suffice to characerise the GFF. Electronic Journal of Probability
  • Holden, Nina & Powell, Ellen (0). Conformal welding for critical Liouville quantum gravity. Annales de l’Institut Henri Poincaré
  • Aru, Juhan, Powell, Ellen & Sepúlveda, Avelio (2020). Liouville measure as a multiplicative cascade via level sets of the Gaussian free field. Annales de l'Institut Fourier 70(1): 205-245.
  • Powell, Ellen (2018). Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation. Electronic Journal of Probability 23: 31, 1-26.
  • Powell, Ellen (2019). An invariance principle for branching diffusions in bounded domains. Probability Theory and Related Fields 173(3-4): 999-1062.
  • Aru, Juhan, Powell, Ellen & Sepúlveda, Avelio (2019). Critical Liouville measure as a limit of subcritical measures. Electronic Communications in Probability 24: 18, 1-16.
  • Berestycki, Nathanaël, Powell, Ellen & Ray, Gourab (2020). A characterisation of the Gaussian free field. Probability Theory and Related Fields 176(3-4): 1259-1301.