Self-Interacting Diffusions. III. Symmetric Interactions

Autor: Benaïm, Michel, Raimond, Olivier

Publikováno v: The Annals of Probability, 2005 Sep 01. 33(5), 1716-1759.

Externí odkaz: https://www.jstor.org/stable/3481700

Infinite-color randomly reinforced urns with dominant colors

Autor: Hristo Sariev, Sandra Fortini, Sonia Petrone

Publikováno v: Bernoulli. 29

We define and prove limit results for a class of dominant P\'olya sequences, which are randomly reinforced urn processes with color-specific random weights and unbounded number of possible colors. Under fairly mild assumptions on the expected reinfor

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67caf30d66d488acb7dc05be8e65fee3
https://doi.org/10.3150/21-bej1452

The trace-reinforced ants process does not find shortest paths

Autor: Kious, Daniel, Mailler, Cécile, Schapira, Bruno

Publikováno v: Kious, D, Mailler, C & Schapira, B 2022, ' The trace-reinforced ants process does not find shortest paths ', Journal de l’École polytechnique, vol. 9, pp. 505-536 . https://doi.org/10.5802/jep.188
Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, 2022

In this paper, we study a probabilistic reinforcement-learning model for ants searching for the shortest path(s) between their nest and a source of food. In this model, the nest and the source of food are two distinguished nodes $N$ and $F$ in a fini

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b51d0104929601286d46c3d848c6d8e3
https://purehost.bath.ac.uk/ws/files/228466125/RevisionJEP.pdf

Predictive Constructions Based on Measure-Valued Pólya Urn Processes

Autor: Sonia Petrone, Sandra Fortini, Hristo Sariev

Publikováno v: Mathematics
Volume 9
Issue 22
Mathematics, Vol 9, Iss 2845, p 2845 (2021)

Measure-valued Pólya urn processes (MVPP) are Markov chains with an additive structure that serve as an extension of the generalized k-color Pólya urn model towards a continuum of possible colors. We prove that, for any MVPP (μn)n≥0 on a Polish

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::546a584bcb76a033ff77e70b2b100796
https://doi.org/10.3390/math9222845

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