3 papers
math.AP2026
Uniform Sobolev inequalities on geometric graphs
Samuel Mercer, Yves van Gennip
There is significant interest in the study of calculus on graphs, especially regarding the use of gradient-based methods for applications in data driven problems such as classifica…
math.AP2025
An extension to Banach stackings of the Brezis--Pazy semigroup-convergence theorem, with applications to -convex gradient flows
Samuel Mercer, Yves van Gennip
A 1972 theorem by Brezis and Pazy establishes the uniform convergence of nonlinear semigroups generated by -accretive operators on a Banach space. Our goal is to expand the set…
math.PR2025
Discrete-to-continuum limits of semilinear stochastic evolution equations in Banach spaces
Yves van Gennip, Jonas Latz, Joshua Willems
We study the convergence of semilinear parabolic stochastic evolution equations, posed on a sequence of Banach spaces approximating a limiting space and driven by additive white no…