= Nathanaël Berestycki
{c}
<Nathanaël Berestycki> works in <probability theory>, connecting stochastic motion with random geometry. His University of Vienna homepage identifies research on <Brownian motion>, the <Gaussian free field>, <Liouville quantum gravity> and interacting particle systems.https://homepage.univie.ac.at/nathanael.berestycki/[Author homepage, What I do and institutional identification]{ref}
With <Christophe Garban> and <Arnab Sen>, he introduced a topology for the <coalescing Brownian flow> and obtained convergence from <coalescing random walks> under finite variance of the increments. The state-space choice makes the continuum limit accessible without stronger moment assumptions previously needed in other descriptions.<Coalescing Brownian flows: A new approach by Nathanaël Berestycki and others>[Abstract and Introduction: comparison of moment assumptions and flow topology]{ref}
A useful distinction is between convergence of finitely many trajectories and convergence of a whole random flow. Starting particles at many locations creates a shared pattern of meetings and mergers. A continuum description has to preserve the consistency of those histories, rather than merely fit the distribution of one endpoint.
\Image[https://homepage.univie.ac.at/nathanael.berestycki/wp-content/uploads/2022/04/Berestycki-Nathanael.png]
{title=<Nathanaël Berestycki>, portrait from his University of Vienna homepage}
{description=External portrait identified on the author's institutional homepage.}
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