7 citations · 8 across the 22 of their papers we have counts for
27 papers
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…
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…
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…
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 fun…
Strong limit of processes constructed from a renewal proces
Xavier Bardina, Carles Rovira
We construct a family of processes, from a renewal process, that have realizations that converge almost surely to the Brownian motion, uniformly on the unit time interval. Finally…
A stochastic epidemic model of COVID-19 disease
Xavier Bardina, Marco Ferrante, Carles Rovira
To model the evolution of diseases with extended latency periods and the presence of asymptomatic patients like COVID-19, we define a simple discrete time stochastic SIR-type epide…