21 citations · 31 across the 5 of their papers we have counts for
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math.PR2015★ 6 cited
Self-repelling diffusions on a Riemannian manifold
Michel Benaïm, Carl-Erik Gauthier
Let M be a compact connected oriented Riemannian manifold. The purpose of this paper is to investigate the long time behavior of a degenerate stochastic differential equation on th…
math.PR2015
Self attracting diffusions on a sphere and application to a periodic case
Carl-Erik Gauthier
This paper proves almost-sure convergence for the self-attracting diffusion on the unit sphere $$dX(t)=σdW_{t}(X(t))-a\int_{0}^{t}\nabla_{\mathbb{S}^n}V_{X_s}(X_t) dsdt,\qquad X(0)…