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