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Mixing times of Markov chain and shuffling

Grant number: 20/01492-8
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): April 01, 2020
Effective date (End): March 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal Investigator:Alexsandro Giacomo Grimbert Gallo
Grantee:Ricardo Teixeira Romanelli
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil


In this project, the student will study all the necessary concepts to establish the cutoff phenomenon for Markov chains with finite state space. He will focus on some cards shuffling, like top-to-random shuffle, riffle shuffle, among others. This will be the opportunity to make a bridge between classical topics seen during the undergraduate course, and some more refined concepts which are nowadays widely used in researches concerning stochastic processes. (AU)

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