Research profile

Julien Dubédat

Works on weak & singular flows and Ricci flow.

NP-RC-249166

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  1. Hao Shen

    1 joint worklatest 2019

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2019

math.PRv2arXiv:1904.10909

Stochastic Ricci Flow on Compact Surfaces

Julien Dubédat, Hao Shen

In this paper we introduce the stochastic Ricci flow (SRF) in two spatial dimensions. The flow is symmetric with respect to a measure induced by Liouville Conformal Field Theory. Using the theory of Dirichlet forms, we construct a weak solution to the associated equation of the area measure on a flat torus, in the full " regime" where is the noise strength. We also describe the main necessary modifications needed for the SRF on general compact surfaces, and list some open questions.

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NP-RC-249166 is Julien Dubédat's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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