Flow equivalence of G-SFTs

AbstractWe study which algebraic integers λ ≥ l arise as the growth rate of a mapping class of a surface and give conditions that are necessary and perhaps sufficient. Flow equivalence and twisted Lefschetz zeta functions are used to generate families of λ's. Examples and open problems are included

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Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz–Krieger algebras

Mathematische Zeitschrift ◽

10.1007/s00209-016-1700-3 ◽

2016 ◽

Vol 285 (1-2) ◽

pp. 121-141 ◽

Cited By ~ 7

Author(s):

Kengo Matsumoto

Keyword(s):

Orbit Equivalence ◽

Circle Actions ◽

Markov Shifts ◽

Flow Equivalence

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Control Flow Equivalence Method for Establishing Sanctity of Compiling

Computers & Security ◽

10.1016/j.cose.2022.102608 ◽

2022 ◽

pp. 102608

Author(s):

Payas Awadhutkar ◽

Ahmed Tamrawi ◽

Ryan Goluch ◽

Suresh Kothari

Keyword(s):

Control Flow ◽

Flow Equivalence

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-ALGEBRAS ASSOCIATED WITH LAMBDA-SYNCHRONIZING SUBSHIFTS AND FLOW EQUIVALENCE

Journal of the Australian Mathematical Society ◽

10.1017/s1446788713000219 ◽

2013 ◽

Vol 95 (2) ◽

pp. 241-265 ◽

Cited By ~ 2

Author(s):

KENGO MATSUMOTO

Keyword(s):

Algebraic Structure ◽

Isomorphism Class ◽

Cartan Subalgebra ◽

Sofic Shift ◽

Sofic Shifts ◽

Flow Equivalence ◽

Graph System

AbstractThe class of $\lambda $-synchronizing subshifts generalizes the class of irreducible sofic shifts. A $\lambda $-synchronizing subshift can be presented by a certain $\lambda $-graph system, called the $\lambda $-synchronizing $\lambda $-graph system. The $\lambda $-synchronizing $\lambda $-graph system of a $\lambda $-synchronizing subshift can be regarded as an analogue of the Fischer cover of an irreducible sofic shift. We will study algebraic structure of the ${C}^{\ast } $-algebra associated with a $\lambda $-synchronizing $\lambda $-graph system and prove that the stable isomorphism class of the ${C}^{\ast } $-algebra with its Cartan subalgebra is invariant under flow equivalence of $\lambda $-synchronizing subshifts.

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