Quantitative hydrodynamics for a generalized contact model

Date(s): Thursday 21st November 2024 (14:00-15:00)
Contact: Event Convenor Contact: William.Salkeld@nottingham.ac.uk
Description: Speaker's Name: Yangrui Xiang
Speaker's Affiliation: University of Nottingham
Speaker's Research Theme(s): Statistics and Probability,
Abstract:
We derive a quantitative version of the hydrodynamic limit for an interacting particle system inspired by integrate-and-fire neuron models. More precisely, we show that the L^2-speed of convergence of the empirical density of states in a generalized contact process defined over a d-dimensional torus of size n is of the optimal order O(n^{d/2}). In addition, we show that the typical fluctuations around the aforementioned hydrodynamic limit are Gaussian, and governed by an inhomogeneous stochastic linear equation.

Venue: Chem X2

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

For all enquiries please visit:
www.nottingham.ac.uk/enquire