Poisson processes for subsystems of finite type in symbolic dynamics
| dc.creator | Chazottes, J. -R. | |
| dc.creator | Coelho, Z. | |
| dc.creator | Collet, P. | |
| dc.date | 2008-04-16 | |
| dc.date | 2008-04-17 | |
| dc.date.accessioned | 2026-07-07T09:32:55Z | |
| dc.date.available | 2026-07-07T09:32:55Z | |
| dc.description | Let $Δ\subsetneq\V$ be a proper subset of the vertices $\V$ of the defining graph of an irreducible and aperiodic shift of finite type $(Σ_{A}^{+},§)$. Let $Σ_Δ$ be the subshift of allowable paths in the graph of $Σ_{A}^{+}$ which only passes through the vertices of $Δ$. For a random point $x$ chosen with respect to an equilibrium state $μ$ of a Hölder potential $ϕ$ on $Σ_{A}^{+}$, let $τ_{n}$ be the point process defined as the sum of Dirac point masses at the times $k>0$, suitably rescaled, for which the first $n$-symbols of $§^k x$ belong to $Δ$. We prove that this point process converges in law to a marked Poisson point process of constant parameter measure. The scale is related to the pressure of the restriction of $ϕ$ to $Σ_Δ$ and the parameters of the limit law are explicitly computed. | |
| dc.description | 21 pages, submitted | |
| dc.identifier | https://arxiv.org/abs/0804.2550 | |
| dc.identifier | http://arxiv.org/abs/0804.2550 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158956 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Probability | |
| dc.subject | 37D35, 60F05,60G55 | |
| dc.title | Poisson processes for subsystems of finite type in symbolic dynamics | |
| dc.type | text |