Symbolic Dynamics II. Sturmian Trajectories

1940/01/01 by Marston Morse, Gustav A. Hedlund · 35 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Origins and Evolution of Life

paper · doi:10.2307/2371431

Cited by

• Alternating geometric progressions modulo one and Sturmian words
• On the Factor Complexity Associated with a Family of Multidimensional Continued Fraction Algorithms
• A Counterexample to Nivat's Conjecture for a Non-Convex Window of Full Affine Span
• Duality in Biperiodic Fibonacci Words Substitution Frequencies and Combinatorial Invariants
• Distributing Labels on Infinite Trees
• Endomorphisms and automorphisms of minimal symbolic systems with sublinear complexity
• A proof of Rauzy's conjecture on abelian complexity
• On a generalization of Abelian equivalence and complexity of infinite words
• Birkhoff Spectra of symbolic almost one-to-one extensions
• Augmentation and Bulk Edge Correspondence for one dimensional aperiodic tight binding operators
• Computing automorphism groups of shifts using atypical equivalence\n classes
• Generalized trapezoidal words
• On Periodicity and Complexity of Generalized Pseudostandard Words
• On Abelian Closures of Infinite Non-binary Words
• Ergodic optimization in dynamical systems
• Train tracks, entropy, and the halo of a measured lamination
• On the genesis of symbolic dynamics as we know it
• Complexity and directional entropy in two dimensions
• On the irrationality exponent of real numbers with low complexity expansion
• Topological invariants for projection method patterns
• Group Actions and Some Combinatorics on Words with vtm
• Balancedness and coboundaries in symbolic systems
• One-dimensional Substitution Tilings with an Interval Projection Structure
• Periodicity and Unbordered Words: A Proof of the Extended Duval Conjecture
• Variations of the Morse-Hedlund Theorem for k-Abelian Equivalence
• New examples of words for which binomial complexities and subword complexity coincide
• Complexity and recurrence in infinite words and related structures
• Decidability of the isomorphism and the factorization between minimal substitution subshifts
• Frequencies of letters in infinite k-balanced sequences
• A new complexity function, repetitions in Sturmian words, and\n irrationality exponents of Sturmian numbers
• Nonexpansive Z² subdynamics and Nivat's conjecture
• Balanced words in higher dimensions
• An S-adic characterization of minimal subshifts with first difference\n of complexity 1 \≤ p(n+1) - p(n) \≤ 2
• On the number of factors in codings of three interval exchange
• The most unbalanced words 0^q-p1^p and majorization