Publications

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81 Publications visible to you, out of a total of 81

Abstract

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Authors: Jonah Gaster, Brice Loustau

Date Published: 1st Dec 2021

Publication Type: Journal

Abstract (Expand)

The three gap theorem asserts that for any real \\\α\ and any positive integer \\N\ the fractional parts of the sequence \\0, \α, 2\α, \⋯, (N-1)\α\ have at most three distinct gap lengths. In this note, we extend the three gap theorem to arbitrary orbits of interval exchange transformations, and in the process, we generalize the three gap theorem and a result by Boshernitzan.

Author: Diaaeldin Taha

Date Published: 24th Nov 2021

Publication Type: Journal

Abstract

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Authors: Valentina Disarlo, Huiping Pan, Anja Randecker, Robert Tang

Date Published: 1st Nov 2021

Publication Type: Journal

Abstract

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Authors: Zhi Hu, Pengfei Huang

Date Published: 1st Nov 2021

Publication Type: Journal

Abstract

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Authors: Daniele Alessandrini, Valentina Disarlo

Date Published: 8th Sep 2021

Publication Type: Journal

Abstract

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Authors: Jonas Beyrer, Beatrice Pozzetti

Date Published: 15th Jul 2021

Publication Type: Journal

Abstract

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Author: James Farre

Date Published: 19th Apr 2021

Publication Type: Journal

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