Spectral analysis of topological finite rank systems

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Ergodic Theory/Probability Seminar
October 21, 2021
3:00PM - 4:00PM
Location
Zoom

Date Range
Add to Calendar 2021-10-21 15:00:00 2021-10-21 16:00:00 Spectral analysis of topological finite rank systems Title:  Spectral analysis of topological finite rank systems Speaker:  Alejandro Maass (University of Chile) Speaker's URL:  https://www.cmm.uchile.cl/?cmm_people=alejandro-maass Abstract:  Finite topological rank Cantor minimal systems represent a broad class of sub shifts of zero entropy or odometers [Downarowiz-Maass], it contains well studied systems like substitution sub shifts or linearly recurrent systems. In this talk we will present the study of measure-theoretical and topological eigenvalues for such class of systems, given formulas characterizing them. This work is motivated by the seminal work of Bernard Host where it is proved that measure-theoretical and topological eigenvalues of substitutions systems coincide. This is a joint work with Fabien Durand and Alexander Frank. URL associated with Seminar https://u.osu.edu/ergodictheory/ Join Zoom Meeting https://osu.zoom.us/j/91638927725 Meeting ID: 916 3892 7725 Password: Mixing Zoom Department of Mathematics math@osu.edu America/New_York public
Description

Title:  Spectral analysis of topological finite rank systems

Speaker:  Alejandro Maass (University of Chile)

Speaker's URL:  https://www.cmm.uchile.cl/?cmm_people=alejandro-maass

Abstract:  Finite topological rank Cantor minimal systems represent a broad class of sub shifts of zero entropy or odometers [Downarowiz-Maass], it contains well studied systems like substitution sub shifts or linearly recurrent systems. In this talk we will present the study of measure-theoretical and topological eigenvalues for such class of systems, given formulas characterizing them. This work is motivated by the seminal work of Bernard Host where it is proved that measure-theoretical and topological eigenvalues of substitutions systems coincide. This is a joint work with Fabien Durand and Alexander Frank.

URL associated with Seminar
https://u.osu.edu/ergodictheory/

Join Zoom Meeting
https://osu.zoom.us/j/91638927725
Meeting ID: 916 3892 7725
Password: Mixing

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