Mohamed Ait Ouahra, Abderrahim Aslimani, Mhamed Eddahbi, Mohamed Mellouk
Published 2023-02-10Version 1
In this paper, we first establish a strong approximation version for the first order limit theorem of some additive functionals related to two non-Markovian Gaussian processes: the fractional Brownian motion (fBm) and the Riemann-Liouville process. As application, we give the law of iterated logarithm of the same additive functionals associated to this two processes
Invariance principle for additive functionals of Markov chains
On a scattering length for additive functionals and spectrum of fractional Laplacians with non-local perturbations
Limit Theorems for Additive Functionals of Path-Dependent SDEs
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