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 Information: https://us02web.zoom.us/j/88176718266?pwd=MWtnbitsaGZlcDhZNnN2Ym9iSDRVUT09