4 papers
On the lumpability of tree-valued Markov chains
Rodrigo B. Alves, Yuri F. Saporito, Luiz M. Carvalho
Phylogenetic trees constitute an interesting class of objects for stochastic processes due to the non-standard nature of the space they inhabit. In particular, many statistical app…
Generalized Excited Random Walks under Bernoulli excitations
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle +1
We study a variant of the Generalized Excited Random Walk (GERW) on introduced by Menshikov, Popov, Ramírez and Vachkovskaia in [Ann. Probab. 40 (5), 2012]. It consi…
A note on transience of generalized many-dimensional excited random walks
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle
We consider a variation of the Generalized Excited Random Walk (GERW) in dimension where the lower bound on the drift for excited jumps is time-dependent and decays to zer…
Generalized Many-Dimensional Excited Random Walk in Bernoulli Environment
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle
We study an extension of the generalized excited random walk (GERW) on introduced in [Ann. Probab. 40 (5), 2012, [7]] by Menshikov, Popov, Ramírez and Vachkovskaia.…