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math.PR2026
On Analytically Tractable Multidimensional Diffusions via Doob h-Transforms, with Resetting and Applications to Wiener and Ornstein--Uhlenbeck Processes
Antonio DiCrescenzo, Verdiana Mustaro, Serena Spina
We investigate a class of drift transformations of multidimensional diffusion processes generated through Doob -transforms. These transformations provide a systematic approach f…
math.PR2023
On the telegraph process driven by geometric counting process with Poisson-based resetting
Antonio Di Crescenzo, Antonella Iuliano, Verdiana Mustaro +1
We investigate the effects of the resetting mechanism to the origin for a random motion on the real line characterized by two alternating velocities and . We assume that…