Department of Mathematics,
University of California San Diego
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Math 278B: Mathematics of Information, Data, and Signals
Edith Zhang
UCLA
Reaction—diffusion equations on graphons
Abstract:
In this talk, I will begin by introducing graphons, which are infinite-size limits of adjacency matrices of sequences of growing graphs. I will then define graph reaction-diffusion (RD) equations, which are systems of differential equations that are defined on the nodes of a graph. For a sequence of growing graphs that converges to a graphon, the solutions of the sequence of graph RD equations also converge. The limiting solution solves a nonlocal differential equation that we call a graphon RD equation. Furthermore, the graph RD equation is related to a stochastic birth-death process on graphs. I will show that this birth-death process converges to the graphon RD equation via a hydrodynamic limit.
May 1, 2026
11:00 AM
APM 2402
Research Areas
Mathematics of Information, Data, and Signals****************************
