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math.PR2026
Asymptotic Behaviour for Isotropic Pearson Random Walks
Davide A. Bignamini, Emanuele G. Casini, Andrea Martinelli
In the Pearson random walk the direction of the i-th step is a random variable uniformly distributed on the d-dimensional sphere, and its length is a non-negative random variable.…
math.PR2026
Stochastic damped wave and Euler-Bernoulli equations with singular locally Hölder continuous drift
Davide Addona, Davide Augusto Bignamini
Let and be two separable Hilbert spaces and . We consider a stochastic differential equation which evolves in the Hilbert space of the form \begin{align} \label{SD…