Beyond Expansion IV: Traces of Thin Semigroups

Beyond Expansion IV: Traces of Thin Semigroups, Discrete Analysis 2018:6, 27 pp. This is the fourth in a series of papers by Bourgain and Kontorovich that study the arithmetic properties of groups and semigroups of 2-by-2 integer matrices. Given a finite set $A$ of natural numbers, $\Gamma_A$ is de...

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Bibliographic Details
Main Authors: Jean Bourgain, Alex Kontorovich
Format: Article
Language:English
Published: Diamond Open Access Journals
Series:Discrete Analysis
Online Access:http://discrete-analysis.scholasticahq.com/article/3471-beyond-expansion-iv-traces-of-thin-semigroups.pdf