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We consider one-dimensional excited random walks (ERWs) with i.i.d. markovian cookie stacks in the non-boundary recurrent regime. We prove that under diffusive scaling such an ERW converges in the standard Skorokhod topology to a multiple of Brownian
Externí odkaz:
http://arxiv.org/abs/2008.06766
We consider one-dimensional excited random walks (ERWs) with i.i.d. markovian cookie stacks in the non-boundary recurrent regime. We prove that under diffusive scaling such an ERW converges in the standard Skorokhod topology to a multiple of Brownian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::501311c112b6db66f4d40fa6779c4cdc
http://arxiv.org/abs/2008.06766
http://arxiv.org/abs/2008.06766