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Poincaré recurrence statistics and extreme value theory

Grant number: 17/07084-6
Support type:Scholarships abroad - Research
Effective date (Start): July 23, 2017
Effective date (End): July 22, 2018
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal Investigator:Alexsandro Giacomo Grimbert Gallo
Grantee:Alexsandro Giacomo Grimbert Gallo
Host: Sandro Vaienti
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Local de pesquisa : Centre de Physique Théorique (CPT), France  


The main objective of the present project is to study the Poincaré recurrence statistics, and their relations with extreme value theory, for stochastic processes (or equivalently, dynamical systems). Our focus will be through a statistics of the process called first possible return time. First, we want to study the asymptotic properties of the first possible return time, under general conditions for the stochastic processes. Next, we will explore the relation between the first possible return time and the so-called ''extremal index'', which quantifies the intensity of clustering of exceedance in the process. (AU)

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
GALLO, SANDRO; GARCIA, NANCY L. Discrete One-Dimensional Coverage Process on a Renewal Process. Journal of Statistical Physics, v. 173, n. 2, p. 381-397, OCT 2018. Web of Science Citations: 0.

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