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Aliasghar Sarizadeh

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Basic Science
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Research

Title
Expanding actions: minimality and ergodicity
Type
JournalPaper
Keywords
Semigroup actions; iteration function systems; (robust) ergodicity; (robust) minimality; expanding actions; blending regions
Year
2017
Journal DRUG RESEARCH
DOI
Researchers Pablo G. Barrientos ، Abbas Fakhari ، Dominique Malicet ، Aliasghar Sarizadeh

Abstract

We prove that every expanding minimal semigroup action of C1C1 diffeomorphisms of a compact manifold (resp. C1+αC1+α conformal) is robustly minimal (resp. ergodic with respect to the Lebesgue emeasure). We also show how, locally, a blending region yields the robustness of the minimality and implies ergodicity.