3 papers
math.PR2026
Perimeter length of the convex hull of Brownian motion in the hyperbolic plane
Chinmoy Bhattacharjee, Rik Versendaal, Andrew Wade
We relate the expected hyperbolic length of the perimeter of the convex hull of the trajectory of Brownian motion in the hyperbolic plane to an expectation of a certain exponential…
math.PR2026
Hydrodynamic limit of the symmetric exclusion process on complete Riemannian manifolds and principal bundles
Jonathan Junné, Frank Redig, Rik Versendaal
We prove that the hydrodynamic limit of the symmetric exclusion process (SEP) is a Fokker-Planck equation in the setting of Poisson random neighborhood graphs approximating a weigh…
math.PR2026
Quenched large deviations for randomly weighted geodesic random walks
Rik Versendaal
We consider weighted geodesic random walks in a complete Riemannian manifold . We show that for almost all sequences of weights (with respect to a suitable measure), these w…