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La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishWe study the asymptotic hitting time τ(n) of a family of Markov pro- cesses X(n) to a target set G(n) when the process starts from a “trap” defined by very general properties. We give an explicit description of the law of X(n) conditioned to stay within the trap, and from this we deduce the exponen- tial distribution of τ(n). Our approach is very broad—it does not require re- versibility, the target G does not need to be a rare event and the traps and the limit on n can be of very general nature—and leads to explicit bounds on the deviations of τ (n) from exponentially. We provide two nontrivial examples to which our techniques directly apply.
Fernandez, R., Manzo, F., Nardi, F.R., Scoppola, E., & Sohier, J. (2016). Conditioned, quasi-stationary, restricted measures and escape from metastable states. THE ANNALS OF APPLIED PROBABILITY, 26(2), 760-793.
| Titolo: | Conditioned, quasi-stationary, restricted measures and escape from metastable states | |
| Autori: | ||
| Data di pubblicazione: | 2016 | |
| Rivista: | ||
| Citazione: | Fernandez, R., Manzo, F., Nardi, F.R., Scoppola, E., & Sohier, J. (2016). Conditioned, quasi-stationary, restricted measures and escape from metastable states. THE ANNALS OF APPLIED PROBABILITY, 26(2), 760-793. | |
| Abstract: | We study the asymptotic hitting time τ(n) of a family of Markov pro- cesses X(n) to a target set G(n) when the process starts from a “trap” defined by very general properties. We give an explicit description of the law of X(n) conditioned to stay within the trap, and from this we deduce the exponen- tial distribution of τ(n). Our approach is very broad—it does not require re- versibility, the target G does not need to be a rare event and the traps and the limit on n can be of very general nature—and leads to explicit bounds on the deviations of τ (n) from exponentially. We provide two nontrivial examples to which our techniques directly apply. | |
| Handle: | http://hdl.handle.net/11590/318444 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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