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Well-posedness and stationary states for a crowded active Brownian system with size-exclusion – Simon Michael Schulz (Scuola Normale Superiore)

We prove the existence of solutions to a non-linear, non-local, degenerate equation which was previously derived as the formal hydrodynamic limit of an active Brownian particle system, where the particles are endowed with a position and an…

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A raising operator formula for Macdonald polynomials – George H. Seelinger (University of Michigan)

Macdonald polynomials are a basis of symmetric functions with coefficients in $\mathbb{Q}(q,t)$ exhibiting deep connections to representation theory and algebraic geometry. In particular, specific specializations of the $q,t$ parameters recover…

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