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Classification of subshifts of finite type

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01075361openalex-snapshot
Markov partitions and C-diffeomorphisms
inferredcites →https://doi.org/10.1016/0040-9383(67)90005-5openalex-snapshot
One-dimensional non-wandering sets
inferredcites →https://doi.org/10.1090/s0002-9904-1971-12731-3openalex-snapshot
Classification of symbol spaces of finite type
inferredcites →https://doi.org/10.1090/s0002-9947-1964-0161372-1openalex-snapshot
Intrinsic Markov Chains
inferredcites →https://doi.org/10.1090/s0002-9947-1966-0197683-5openalex-snapshot
Symbolic Dynamics and Transformations of the Unit Interval
inferredcites →https://doi.org/10.1515/9781400874842-006openalex-snapshot
Diffeomorphisms with Many Periodic Points
inferredcites →https://doi.org/10.2307/2373370openalex-snapshot
Markov Partitions for Axiom A Diffeomorphisms

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Symbolic dynamics and finite automata
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Deciding Proper Conjugacy of Classes of One-Sided Finite-Type-Dyck Shifts
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Decidability of Conjugacy of Tree-Shifts of Finite Type
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Sofic and Almost of Finite Type Tree-Shifts
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Consistency of random field specifications
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Representation of Reversible Cellular Automata with Block Permutations
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Factors and extensions of full shifts
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An example on strong shift equivalence of positive integral matrices
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Shift equivalence in homotopy
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Markov partitions and K 2
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The classification of topological Markov chains adapted shift equivalence
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Semi-groups and graphs for sofic systems
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The shift on the inverse limit of a covering projection
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On sofic systems II
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Degrees of finite-to-one factor maps
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On the classification of one-sided Markov chains
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The shift equivalence problem
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Equilibrium statistical mechanics of one-dimensional classical lattice systems
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On embeddings of subshifts of finite type
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Invariants for topological markov chains
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Homology theory and dynamical systems
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Dynamical systems—five years after
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Topological conjugacy for 1-block factor maps of subshifts and sofic covers
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Decidability of shift equivalence
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Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov shifts
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The structure of smale diffeomorphisms
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Shape theory and dynamical systems
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Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry
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Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz–Krieger algebras
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Sofic Tree-Shifts
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Some Notes on the Classification of Shift Spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts
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The Work of Kim and Roush in Symbolic Dynamics
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Permutation Cellular Automata
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Mixing Shifts of Finite Type with Non-Elementary Surjective Dimension Representations
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Nonwandering Set of Smale–Vietoris Diffeomorphisms
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Strong shift equivalence of C*-correspondences
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Weak isomorphisms between Bernoulli shifts
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Topological Markov chains, C∗-algebras, and K2
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Uniformly finite-to-one and onto extensions of homomorphisms between strongly connected graphs
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Detection of changes in rainfall and runoff patterns
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A topological invariant of flows on 1-dimensional spaces
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Entropy and stability
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Homology theory and dynamical systems
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Exotic phenomena in games and duopoly models
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Topics in Topological Dynamics, 1991 to 2001
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Flows with Knotted Closed Orbits
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On the conjugacy problem of cellular automata
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Flow invariants in the classification of Leavitt path algebras
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The dynamics of Leavitt path algebras
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Conjugation in semigroups
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Hardness of conjugacy, embedding and factorization of multidimensional subshifts
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On the structure of multi-layer cellular neural networks
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C⁎ -algebras and equivalences for C⁎ -correspondences
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Operator algebras of monomial ideals in noncommuting variables
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Subshifts, λ-graph bisystems and C⁎-algebras
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On some new invariants for shift equivalence for shifts of finite type
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Homomorphisms, representations and characteristic polynomials of digraphs
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Generalized Bowen–Franks groups of integral matrices with the same zeta function
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Strong shift equivalence and positive doubly stochastic matrices
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Strong shift equivalence and the Generalized Spectral Conjecture for nonnegative matrices
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Realization problem of multi-layer cellular neural networks
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When are two multi-layer cellular neural networks the same?
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Tree-shifts of finite type
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Computational complexity of k-block conjugacy
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Some remarks on output measures
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Realizing full n-shifts in simple Smale flows
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Strong shift equivalence and shear adjacency of nonnegative square integer matrices
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Symbolic dynamics and the stable algebra of matrices
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Preface to the First Edition
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Preface to the Second Edition
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Shift Spaces
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Shifts of Finite Type
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Entropy
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Finite-State Codes
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Shifts as Dynamical Systems
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Conjugacy
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Finite-to-One Codes and Finite Equivalence
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Degrees of Codes and Almost Conjugacy
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Embeddings and Factor Codes
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Realization
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Equal Entropy Factors
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Guide to Advanced Topics
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Bibliography
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Addendum Bibliography
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Notation Index
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Index
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Introduction to Dynamical Systems
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Graded Rings and Graded Grothendieck Groups
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Optimal state amalgamation is NP-hard
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Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy
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Conjugacy of local homeomorphisms via groupoids and C*-algebras
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Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras
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An obstruction to the existence of certain dynamics in surface diffeomorphisms
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On the classification of Markov chains by finite equivalence
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Constant-to-one and onto global maps of homomorphisms between strongly connected graphs
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Strong shift equivalence of 2 × 2 matrices of non-negative integers
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Flow equivalence of subshifts of finite type
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The entropies of topological Markov shifts and a related class of algebraic integers
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Shift equivalence and the Jordan form away from zero
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Smale diffeomorphisms and surface topology
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On strong shift equivalence over a Boolean semiring
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Topological conjugacy for sofic systems
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Resolving maps which commute with a power of the shift
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The spectra of topological Markov shifts
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Expansive dynamics on zero-dimensional groups
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Realizing symmetries of a shift
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Automorphisms of compact groups
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Automorphisms of one-sided subshifts of finite type
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Eventual factor maps and compositions of closing maps
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The weight-per-symbol polytope and scaffolds of invariants associated with Markov chains
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Resolving factor maps for shifts of finite type with equal entropy
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Lattice invariants for sofic shifts
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Flow equivalence of reducible shifts of finite type
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Flow equivalence of graph algebras
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An invariant of finite group actions on shifts of finite type
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A class of pairwise-independent joinings
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The mathematical research of William Parry FRS
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The templates of non-singular Smale flows on three manifolds
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Ring and module structures on dimension groups associated with a shift of finite type
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-ALGEBRAS ASSOCIATED WITH TWO-SIDED SUBSHIFTS
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Bowen–Franks Groups for Subshifts and Ext-Groups for C*-Algebras
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Singular Equivalences of Trivial Extensions
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On extensions of subshifts by finite groups
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Imprimitivity bimodules of Cuntz–Krieger algebras and strong shift equivalences of matrices
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State splitting, strong shift equivalence and stable isomorphism of Cuntz–Krieger algebras
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Topological conjugacy and structural stability for discrete dynamical systems
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On Mixing Measures for Axiom A Diffeomorphisms
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Subshifts of Finite Type in Linked Twist Mappings
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An Invariant for Continuous Factors of Markov Shifts
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Entropies of Automorphisms of a Topological Markov Shift
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Degrees of Constant-to-One Factor Maps
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Eventual Extensions of Finite Codes
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Higher-Dimensional Shift Equivalence and Strong Shift Equivalence are the Same Over the Integers
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On Fixed Points of Dynamical Systems
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Solution of Two Conjectures in Symbolic Dynamics
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Coding nested mixing one-sided subshifts of finite type as Markov shifts having exactly the same alphabet
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The decomposition theorem for two-dimensional shifts of finite type
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Canonical symbolic dynamics for one-dimensional generalized solenoids
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A Markov partition that reflects the geometry of a hyperbolic toral automorphism
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Constructing Smale Diffeomorphisms on Compact Surfaces
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Symbolic Dynamics in Flows on Three-Manifolds
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Periodic Points and Automorphisms of the Shift
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Smale Flows on the Three-Sphere
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The Automorphism Group of a Shift of Finite Type
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A $K$-theoretic invariant for dynamical systems
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On Automorphisms of Markov Chains
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Algebraic Shift Equivalence and Primitive Matrices
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An Extension Theorem for Closing Maps of Shifts of Finite Type
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Class degree and relative maximal entropy
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The automorphism group of a coded system
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Entropies and factorizations of topological Markov shifts
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Realizing symmetries of a subshift of finite type by homeomorphisms of spheres
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Strong shift equivalence theory and the shift equivalence problem
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Automorphisms of the Dimension Group and Gyration Numbers
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Williams's Conjecture is False for Reducible Subshifts
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The Williams conjecture is false for irreducible subshifts
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Relative Morita equivalence of Cuntz–Krieger algebras and flow equivalence of topological Markov shifts
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The Stabilized Automorphism Group of a Subshift
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On the Stochastic and Topological Structure of Markov Chains
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A Finitary Classification of Topological Markov Chains and Sofic Systems
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Equivariant flow equivalence for shifts of finite type, by matrix equivalence over group rings
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Strong shift equivalence of 2 by 2 non‐negative integral matrices
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Surface basic sets with wildly embedded supporting surfaces
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Classification of one-dimensional expanding attractors
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Exponential mixing for smooth hyperbolic suspension flows
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Topological Entropy Bounds for Hyperbolic Plateaus of the Henon Map
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An Integrodifferential Model for Orientational Distributions of F-actin in Cells
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FACTOR MAPS OF LAMBDA-GRAPH SYSTEMS AND INCLUSIONS OF C*-ALGEBRAS
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Actions of symbolic dynamical systems on C*-algebras
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A dimension group for local homeomorphisms and endomorphisms of onesided shifts fo finite type.
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Decidability of the isomorphism and the factorization between minimal substitution subshifts
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Flow equivalence of shifts of finite type via positive factorizations
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Orbit equivalence of topological Markov shifts and Cuntz–Krieger algebras
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Constructing Structurally Stable Diffeomorphisms
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Homology for Zero-Dimensional Nonwandering Sets
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Topological conjugacy invariants of symbolic dynamics arising from $C^*$-algebra K-theory
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Expansive invertible onesided cellular automata
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Conjugacy of $Z^2$-subshifts and Textile Systems
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Smale diffeomorphisms of surfaces: a classification algorithm
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Right-permutative cellular automata on topological Markov chains
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Fixed point shifts of inert involutions
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A measure-conjugacy invariant for free group actions
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A matrix formalism for conjugacies of higher-dimensional shifts of finite type
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Asymptotic Continuous Orbit Equivalence of Smale Spaces and Ruelle Algebras
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Topological Quantum Field Theory and Strong Shift Equivalence
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A lambda-graph system for the Dyck shift and its $K$-groups
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О классификации одномерных растягивающихся аттракторов
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On Algebraic Shift Equivalence of Matrices over Polynomial Rings
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