Category Archives: Uncategorized

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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Log-Sobolev inequalities

Survey talk about log-Sobolev-inequalities

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Heat flow and sets of finite perimeter

I will be giving an invited address at the Spring Central Sectional Meeting on Sunday, April 18, 11.45am US Central time. The main topic of the address will be the study of isoperimetric inequalities and sets of finite perimeter using … Continue reading

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Fractional Gaussian fields on fractals

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H-type manifolds

H-type manifolds are natural structures that arise as generalizations of H-type groups. Below is a talk I gave on that topic that took place during the conference : Sub-Riemannian Geometry and Interactions Paris, September 7–11, 2020.

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