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European-Asian Joint Webinar on Dynamical Systems
 
14:00 - 15:00, November 18, 2022 (Friday)
Zoom, Online seminar
(線上演講 Zoom)
The Entropy Structures of Axial Products on $\mathbb{N}^d$ and Trees
Guan-Yu Lai (National Yang Ming Chiao Tung University )

Abstract

In this talk, we first concentrate on the possible values and dense property of entropies for isotropic and anisotropic axial products of subshifts of finite type (SFTs) on and . We prove that the entropies of isotropic and anisotropic axial products of SFTs on are dense in , and the same result is also valid for anisotropic axial products of SFTs on . However, the result is no longer true for isotropic axial products of SFTs on . Next, motivated by the Johnson, Kass and Madden, and Schraudner, we establish the entropy formula and structures for full axial extension shifts on and . Combining above mentioned results with the findings on the surface entropy for multiplicative integer systems on enable us to estimate the surface entropy for the full axial extension shifts on . Finally, we extend the results of full axial extension shifts on to general trees.

Link Informationhttps://us02web.zoom.us/j/88176718266?pwd=MWtnbitsaGZlcDhZNnN2Ym9iSDRVUT09



 

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