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math.PR2020
New insights on the reinforced Elephant Random Walk using a martingale approach
Lucile Laulin
This paper is devoted to the asymptotic analysis of the reinforced elephant random walk (RERW) using a martingale approach. In the diffusive and critical regimes, we establish the…
math.PR2020
A martingale approach for Pólya urn processes
Lucile Laulin
This paper is devoted to a direct martingale approach for P{ó}lya urn models asymptotic behaviour. A P{ó}lya process is said to be small when the ratio of its remplacement matrix e…