Arnab Sen (source code)

= Arnab Sen
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<Arnab Sen> is a <mathematician> working in <probability theory> and <mathematical physics>. His own biography identifies a Berkeley doctorate completed in 2010, subsequent research at Cambridge, and work at the University of Minnesota. His research includes <random graphs>, <random matrices> and disordered models in <statistical physics>.https://www-users.cse.umn.edu/~arnab/[Author homepage, biography and research interests]{ref}

With <Nathanaël Berestycki> and <Christophe Garban>, he developed a new state space and topology for the <coalescing Brownian flow> and proved an <probabilistic invariance principle> for <coalescing random walks> under a finite-variance assumption. The theorem connects discrete particle systems with a continuum stochastic flow.<Coalescing Brownian flows: A new approach by Nathanaël Berestycki and others>[Abstract and Introduction: new state space, topology and finite-variance invariance principle]{ref}

The physical picture is simple even though convergence of an entire flow is subtle: particles wander separately until meeting, then continue as one. Tracking only the position of one particle misses when two histories merge. A framework for the whole collection must retain that interaction.

\Image[https://www-users.cse.umn.edu/~arnab/arnab3.jpg]
{title=<Arnab Sen>, portrait from his University of Minnesota homepage}
{description=External portrait linked by the author's own biography.}