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math.PR2018
Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in
Stefano Bonaccorsi, Luciano Tubaro, Margherita Zanella
On the infinite dimensional space of continuous paths from to , , endowed with the Wiener measure , we construct a surface measure defined on l…
math.PR2016
An Itô calculus for a class of limit processes arising from random walks on the complex plane
Stefano Bonaccorsi, Craig Calcaterra, Sonia Mazzucchi
Within the framework of the previous paper [8]. we develop a generalized stochastic calculus for processes associated to higher order diffusion operators. Applications to the study…
math.PR2008★ 1 cited
Analysis of the stochastic FitzHugh-Nagumo system
Stefano Bonaccorsi, Elisa Mastrogiacomo
In this paper we study a system of stochastic differential equations with dissipative nonlinearity which arise in certain neurobiology models. Besides proving existence, uniqueness…