LAULIN, Lucile

doi:10.1007/s10955-021-02834-x

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

LAULIN, Lucile
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Article de revue

Este ítem está publicado en

Journal of Statistical Physics. 2022, vol. 186, n° 1, p. 9

Springer Verlag

Resumen en inglés

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 almost sure convergence, the law of iterated logarithm and the quadratic strong law for the RERW. The distributional convergences of the RERW to some Gaussian processes are also provided. In the superdiffusive regime, we prove the distributional convergence as well as the mean square convergence of the RERW. All our analysis relies on asymptotic results for multi-dimensional martingales with matrix normalization.< Leer menos

Metadatos

Compartir este ítem

Licencia de uso del documento

New insights on the reinforced Elephant Random Walk using a martingale approach

Idioma

Este ítem está publicado en

Resumen en inglés

URI

DOI

Orígen

Centros de investigación