##### Department of Mathematics,

University of California San Diego

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### Analysis Seminar (Math 248)

## Jack Xin

#### UCI

## Computing Entropy Production Rates and Chemotaxis Dynamics in High Dimensions by Stochastic Interacting Particle Methods

##### Abstract:

We study stochastic interacting particle methods with and without field coupling for high dimensional concentration and singularity formation phenomena. In case of entropy production of reverse-time diffusion processes, the method computes concentrated invariant measures mesh-free up to dimension 16 at a linear complexity rate based on solving a principal eigenvalue problem of non-self-adjoint advection-diffusion operators. In case of fully parabolic chemotaxis nonlinear dynamics in 3D, the method captures critical mass for finite time singularity formation and blowup time at low costs through a smoother field without relying on self-similarity.

Host: Andrej Zlatos

### May 14, 2024

### 11:00 AM

APM 7321

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