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Transience in Dynamical Systems
Equilibrium states thermodynamic formalism transience interval maps
2010/12/6
We extend the theory of transience to general dynamical systems with no Markov structure assumed. This is linked to the theory of phase transitions. We also provide examples of new kinds of transient ...
\alpha-Transience and \alpha-Recurrence of Right Processes
$\alpha$-transience $\alpha$-recurrence Right process $\alpha$-excessive function $\alpha$-excessive function $\alpha$-excessive function
2007/12/11
In this article, we mainly discuss some potential theory in the framework of right Markov processes. We introduce the concept of $\alpha$-excessive function, $\alpha$-recurrence and $\alpha$-transienc...
THE WEIGHTED TRANSIENCE AND RECURRENCE OF MARKOV PROCESSES
$w$-recurrence $w$-transience last exit time right process
2007/12/10
Transience and recurrence are among the most important concepts in Markov processes. In this paper, we study the transience and recurrence for right processes with a given weight function, and charact...