16 citations · 22 across the 6 of their papers we have counts for
10 papers
Large deviations for singularly interacting diffusions
Jasper Hoeksema, Thomas Holding, Mario Maurelli +1
In this paper we prove a large deviation principle (LDP) for the empirical measure of a general system of mean-field interacting diffusions with singular drift (as the number of pa…
Numerical analysis of shell-based geometric image inpainting algorithms and their semi-implicit extension
L. Robert Hocking, Thomas Holding, Carola-Bibiane Schoenlieb
In this paper we study a class of fast geometric image inpainting methods based on the idea of filling the inpainting domain in successive shells from its boundary inwards. Image p…
Stability and instability in saddle point dynamics Part II: The subgradient method
Thomas Holding, Ioannis Lestas
In part I we considered the problem of convergence to a saddle point of a concave-convex function via gradient dynamics and an exact characterization was given to their asymptotic…
Stability and instability in saddle point dynamics -- Part I
Thomas Holding, Ioannis Lestas
We consider the problem of convergence to a saddle point of a concave-convex function via gradient dynamics. Since first introduced by Arrow, Hurwicz and Uzawa in [1] such dynamics…
Uniqueness and stability for the Vlasov-Poisson system with spatial density in Orlicz spaces
Thomas Holding, Evelyne Miot
In this paper, we establish uniqueness of the solution of the Vlasov-Poisson system with spatial density belonging to a certain class of Orlicz spaces. This extends the uniqueness…
Propagation of chaos for Hölder continuous interaction kernels via Glivenko-Cantelli
Thomas Holding
We develop a new technique for establishing quantitative propagation of chaos for systems of interacting particles. Using this technique we prove propagation of chaos for diffusing…