Description

Speaker: Dr. Nishant Chandgotia, Tel Aviv university

Date & Time - 8-2-18, Thursday, 4 PM

Title: Universal models in ergodic theory

Abstract: In 1970, Krieger proved that any free ergodic probability

preserving invertible transformation of finite entropy can be modelled by

A^Z, the set of unconstrained bi-infinite sequences in some finite alphabet

A. This result has seen many generalisations for more constrained systems

and for actions of other groups. Along with Tom Meyerovitch, we prove that

under certain general mixing conditions $Z^d$-topological dynamical systems

can model all free ergodic probability preserving Z^d actions of lower

entropy. In particular, we show that these mixing conditions are satisfied

by proper colourings of the Z^d lattice (colourings of the Z^d lattice

where adjacent colours are distinct) and the domino tilings of Z^2 lattice,

thus answering a question by Şahin and Robinson. The talk will begin with

an introduction to the terms mentioned in the abstract and should be

accessible to a general audience.

Date & Time - 8-2-18, Thursday, 4 PM

Title: Universal models in ergodic theory

Abstract: In 1970, Krieger proved that any free ergodic probability

preserving invertible transformation of finite entropy can be modelled by

A^Z, the set of unconstrained bi-infinite sequences in some finite alphabet

A. This result has seen many generalisations for more constrained systems

and for actions of other groups. Along with Tom Meyerovitch, we prove that

under certain general mixing conditions $Z^d$-topological dynamical systems

can model all free ergodic probability preserving Z^d actions of lower

entropy. In particular, we show that these mixing conditions are satisfied

by proper colourings of the Z^d lattice (colourings of the Z^d lattice

where adjacent colours are distinct) and the domino tilings of Z^2 lattice,

thus answering a question by Şahin and Robinson. The talk will begin with

an introduction to the terms mentioned in the abstract and should be

accessible to a general audience.

Date

Thu, February 8, 2018

Start Time

4:00pm IST

Priority

5-Medium

Access

Public

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Updated

Sun, February 4, 2018 2:59pm IST