Staff Profile
Ellen Powell, PhD University of Cambridge
Assistant Professor, Probability in the Department of Mathematical Sciences
Telephone: +44 (0) 191 33 44160
Room number: CM231a
Contact Ellen Powell (email at ellen.g.powell@durham.ac.uk)
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 Groups
Department of Mathematical Sciences
- Probability & Statistics: Probability
- Probability & Statistics: Probability
- Probability and Statistics
Research Interests
- Probability Theory
- Random Geometry
Selected Publications
Journal Article
- Berestycki, Nathanael, Powell, Ellen & Ray, Gourab (Accepted). (1+epsilon)-moments suffice to characerise the GFF. Electronic Journal of Probability
- Holden, Nina & Powell, Ellen (Accepted). Conformal welding for critical Liouville quantum gravity. Annales de l’Institut Henri Poincaré
- Berestycki, Nathanaël, Powell, Ellen & Ray, Gourab (2020). A characterisation of the Gaussian free field. Probability Theory and Related Fields 176(3-4): 1259-1301.
- 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 (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.
- Powell, Ellen (2018). Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation. Electronic Journal of Probability 23: 31, 1-26.
- Powell, Ellen & Wu, Hao (2017). Level lines of the Gaussian free field with general boundary data. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53(4): 2229-2259.