Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Cristian F. Coletti"'
Publikováno v:
Stochastic Processes and their Applications. 160:72-88
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78baf23432ce39ddf62aa5ff0d4abda0
https://doi.org/10.1016/j.spa.2023.02.009
https://doi.org/10.1016/j.spa.2023.02.009
Autor:
Carolina Grejo, Cristian F. Coletti
Publikováno v:
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e79989ffc9bab57c078d3fe8522a78df
https://doi.org/10.5540/03.2021.008.01.0441
https://doi.org/10.5540/03.2021.008.01.0441
Let a random geometric graph be defined in the supercritical regime for the existence of a unique infinite connected component in Euclidean space. Consider the first-passage percolation model with independent and identically distributed random variab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50c57322bca60b8981aa1677f8e617ef
Publikováno v:
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.
We study geometric aspects of transition matrices of discrete-time Markov chains. More precisely, we study the connected component of the set of stochastic matrices with positive determinant at the identity. Using the machinery of Lie groups we explo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c68eac1f5f700f1390561ac6bf658d19
https://doi.org/10.5540/03.2020.007.01.0439
https://doi.org/10.5540/03.2020.007.01.0439
We propose a mathematical model to measure how multiple repetitions may influence in the ultimate proportion of the population never hearing a rumor during a given outbreak. The model is a multi-dimensional continuous-time Markov chain that can be se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c26fb659e708782cd91a7bb5c89a3541
We introduce a new random walk with unbounded memory obtained as a mixture of the Elephant Random Walk and the Dynamic Random Walk which we call the Dynamic Elephant Random Walk (DERW). As a consequence of this mixture the distribution of the increme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4743efc23a6bd11b3eab4b9d32f5cfc
In this work we study asymptotic properties of a long range memory random walk known as elephant random walk. First we prove recurrence and positive recurrence for the elephant random walk. Then, we establish the transience regime of the model. Final
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a39939928c8105bb31080aa75a1b2dad
http://arxiv.org/abs/1910.03142
http://arxiv.org/abs/1910.03142
Autor:
Cristian F. Coletti, Lucas R. de Lima
We study the frog model on Cayley graphs of groups with polynomial growth rate $D \geq 3$. The frog model is an interacting particle system in discrete time. We consider that the process begins with a particle at each vertex of the graph and only one
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9ec27e50831d91cbf6cf7c00a4aa244
http://arxiv.org/abs/1908.10123
http://arxiv.org/abs/1908.10123
We consider a non-Markovian discrete-time random walk on $\mathbb{Z}$ with unbounded memory called the elephant random walk (ERW). We prove a strong invariance principle for the ERW. More specifically, we prove that, under a suitable scaling and in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2eac4c6e49207aa1b8c1b47fdae34ac
http://arxiv.org/abs/1707.06905
http://arxiv.org/abs/1707.06905
Publikováno v:
Journal of mathematical physics 58(5), 053303 (2017). doi:10.1063/1.4983566
We study the so-called elephant random walk (ERW) which is a non-Markovian discrete-time random walk on ℤ with unbounded memory which exhibits a phase transition from a diffusive to superdiffusive behavior. We prove a law of large numbers and a cen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e37f93f89c21c95c863d956e96aceed8
https://hdl.handle.net/2128/16387
https://hdl.handle.net/2128/16387