1st part: the motivation coming from SYZ mirror symmetry. Use Fukaya’s Family Floer theory to produce a mirror rigid analytic space with a dual affinoid torus fibration and motivate relative symplectic cohomology.

We study the spectrum of a fractional Laplacian equation with drift in suitable weighted spaces. This operator arises when studying the fractional heat equation in self- similar variables.

Abstract

Various diffusion mechanisms are key to the propagation of epidemics.  As a matter of fact, diffusion arises under several guises in epidemiology.

The group synchronization problem asks to recover group elements, such as 3-D rotations and permutations, on graph nodes from their relative measurements on graph edges. It has critical applications in 3-D reconstruction and many other tasks in data science.