Nonhomogeneous Beatty Sequences Leading to Invariant Games

DOI10.1137/130948367zbMath1419.11047OpenAlexW2943427659MaRDI QIDQ2820861

Eric Duchêne, Julien Cassaigne, Michel Rigo

Publication date: 9 September 2016

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://orbi.uliege.be/handle/2268/197811

zbMATH Keywords

superadditivityBeatty sequencesturmian wordinvariant gametwo-player combinatorial game

Mathematics Subject Classification ID

Combinatorics on words (68R15) Special sequences and polynomials (11B83) Automata sequences (11B85) Combinatorial games (91A46)

Related Items (4)

From Combinatorial Games to Shape-Symmetric Morphisms ⋮ Deciding game invariance ⋮ Rulesets for Beatty games ⋮ SELF-SIMILARITY OF 𝒫-POSITIONS OF (2n + 1)-DIMENSIONAL WYTHOFF’S GAME

Cites Work

• From heaps of matches to the limits of computability
• The \(\star\)-operator and invariant subtraction games
• Invariant and dual subtraction games resolving the Duchêne-Rigo conjecture
• Extensions and restrictions of Wythoff's game preserving its \(\mathcal P\) positions
• Lectures on dynamical systems. Hamiltonian vector fields and symplectic capacities
• Invariant games
• Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences
• A morphic approach to combinatorial games: the Tribonacci case
• How to Beat Your Wythoff Games' Opponent on Three Fronts
• Complementary Iterated Floor Words and the Flora Game
• A mathematical investigation of games of “take-away”
• The Bracket Function and Complementary Sets of Integers
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