On the asymptotic measure of periodic 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.accessioned | 2026-07-07T09:32:56Z | |
| dc.date.available | 2026-07-07T09:32:56Z | |
| dc.description | Let $Δ\subsetneq\V$ be a proper subset of the vertices $\V$ of the defining graph of an aperiodic shift of finite type $(Σ_{A}^{+},§)$. Let $Δ_{n}$ be the union of cylinders in $Σ_{A}^{+}$ corresponding to the points $x$ for which the first $n$-symbols of $x$ belong to $Δ$ and let $μ$ be an equilibrium state of a Hölder potential $ϕ$ on $Σ_{A}^{+}$. We know that $μ(Δ_{n})$ converges to zero as $n$ diverges. We study the asymptotic behaviour of $μ(Δ_{n})$ and compare it with the pressure of the restriction of $ϕ$ to $Σ_Δ$. The present paper extends some results in \cite{CCC} to the case when $Σ_Δ$ is irreducible and periodic. We show an explicit example where the asymptotic behaviour differs from the aperiodic case. | |
| dc.description | Companion of the paper "Poisson processes for subsystems of finite type in symbolic dynamics" | |
| dc.identifier | https://arxiv.org/abs/0804.2551 | |
| dc.identifier | http://arxiv.org/abs/0804.2551 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158957 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Probability | |
| dc.subject | 37D35 | |
| dc.title | On the asymptotic measure of periodic subsystems of finite type in symbolic dynamics | |
| dc.type | text |