4 papers
math.PR2025
Kac-Stroock type approximations for the Brownian motion
Xavier Bardina, Salim Boukfal
In the present paper we show that the processes , , defined by , where $L = \{L(t…
math.PR2025
Weak approximation for Gaussian processes from renewal processes
Xavier Bardina, Salim Boukfal, Marc Cano +1
In previous works, Bardina and Rovira (2023) constructed a family of processes that converge strongly towards Brownian motion, defined from renewal processes, are constructed. In t…
math.PR2025
Weak convergence of stochastic integrals with applications to SPDEs
Xavier Bardina, Salim Boukfal
In this paper we provide sufficient conditions for sequences of random fields of the form to weakly converge, in the space of continuous functions over…
math.PR2025
Weak convergence of stochastic integrals
Xavier Bardina, Salim Boukfal
In this paper we provide sufficient conditions for sequences of stochastic processes of the form , to weakly converge, in the space of continuous fu…