Category Archives: Uncategorized

Assistant Professor in Probability Theory & Stochastic Analysis

📍 Aarhus University – Department of Mathematics (Ny Munkegade 118, 8000 Aarhus C)🗓 Position start: 1 August 2026 (3-year full-time fixed-term: 1 Aug 2026–31 Jul 2029) Join the vibrant Stochastics Group at the Department of Mathematics, Aarhus University, at the … Continue reading

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Aarhus Summer School in Analysis and Probability

The 6–10 July, 2026, Aarhus Summer School in Analysis and Probability aims to bring together leading experts and young researchers in the areas of analysis, probability theory, and their interactions. The school will feature a series of five hours lecture courses delivered by … Continue reading

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Postdoctoral Positions in Probability Theory and Analysis

Several postdoctoral positions at Aarhus are opening in my group. The earliest possible start date is February 1st 2026, with flexibility for later starts in the spring. These positions are supported by a Villum Investigator Grant and the ERC, offering excellent opportunities … Continue reading

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Stochastic areas

My new book written in collaboration with Nizar Demni and Jing Wang is now available. This book is a self-contained introduction to the theory of Brownian motions and heat kernels on matrix Lie groups and manifolds, with an emphasis on … Continue reading

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Hyperbolic Stiefel fibrations

Here is the video of a talk I gave on Thursday, August 31, at the joint Melbourne Universities Probability seminar. The abstract of the talk is the following We study the Brownian motion on the non-compact Grassmann manifold U(n−k,k)/U(n−k)U(k) and … Continue reading

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Stochastic areas

Nizar Demni, Jing Wang and I finished the preliminary draft of a monograph to be later published by the European Mathematical Society (EMS Tract Series). Download Manuscript The study of area type functionals associated with Brownian motions has interested me … Continue reading

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Sobolev spaces and Poincare inequalities on metric spaces and nested fractals

The talk was given at the UBC Probability seminar on November 17, 2021.

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Windings of unitary Brownian motion

Here is the talk I gave at the very nice conference Stochastic differential geometry and mathematical physics which virtually took place from june 7th to june 11th 2021. At the end of the talk, there is a discussion by Franck … Continue reading

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Heat flow and sets of finite perimeter (AMS invited address)

Here is the video of my invited AMS address given Sunday, April 18 2021, during the AMS sectional meeting 1166.

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Asymptotic windings of unitary Brownian motions

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