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The role of unstable entropy in smooth ergodic theory

Grant number: 19/09403-7
Support type:Research Grants - Visiting Researcher Grant - International
Duration: July 01, 2019 - August 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Ali Tahzibi
Grantee:Ali Tahzibi
Visiting researcher: Meysam Nassiri
Visiting researcher institution: Institute for Research in Fundamental Sciences (IPM), Iran
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems, AP.TEM

Abstract

In this research project we will apply methods of transverse measures to construct measures of maximal entropy or measures of maximal entropy along the unstable foliations of partially hyperbolic systems.The idea is to take advantage of Margulis' ideas in constructing measures of maximal entropy and applying new methods. (AU)