R. Versendaal

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20182026

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8 papers · 1 filter

math.PR2026

Quenched large deviations for randomly weighted geodesic random walks

Rik Versendaal

We consider weighted geodesic random walks in a complete Riemannian manifold $(M, g)$ . We show that for almost all sequences of weights (with respect to a suitable measure), these w…

math.PR2025

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.PR2024

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.PR2023

Invariance principle for Lifts of Geodesic Random Walks

Jonathan Junné, Frank Redig, Rik Versendaal

We consider a certain class of Riemannian submersions $π : N \to M$ and study lifted geodesic random walks from the base manifold $M$ to the total manifold $N$ . Under appropriate co…

math.PR2020

Large deviations for Brownian motion in evolving Riemannian manifolds

Rik Versendaal

We prove large deviations for $g (t)$ -Brownian motion in a complete, evolving Riemannian manifold $M$ with respect to a collection ${g (t)}_{t \in [0, 1]}$ of Riemannian metrics, smo…

math.PR2019

Large deviations for random walks on Lie groups

Rik Versendaal

We study large deviations for random walks on Lie groups defined by $σ_{n}^{n} = exp (\frac{1}{n} X_{1}) \dots exp (\frac{1}{n} X_{n})$ , where ${X_{n}}_{n \geq 1}$ is an i.i.d sequence of bounded rando…