| Grant number: | 18/04764-9 |
| Support Opportunities: | Scholarships abroad - Research |
| Effective date (Start): | September 01, 2018 |
| Effective date (End): | August 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Probability and Statistics - Probability |
| Principal Investigator: | Renato Jacob Gava |
| Grantee: | Renato Jacob Gava |
| Host Investigator: | Iddo Ben-Ari |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Research place: | University of Connecticut (UCONN), United States |
| Associated research grant: | 17/10555-0 - Stochastic modeling of interacting systems, AP.TEM |
Abstract We will study the elephant random walk and other similar models that present unbounded memory and that are currently in vogue in statistical physics in order to establish limit theorems. For physicists, the interest in this type of model consists in the fact that they exhibit anomalous diffusion. In addition, we will investigate open questions related to the Bak-Sneppen evolutionary model, a model that, like the random walks with unbounded memory, has received much attention of the theoretical physics community, but still with few rigorous results from the mathematical point of view. | |
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