On the Dimension of the Space of Harmonic Functions on a Discrete Torus

DOI10.1080/10586458.2010.10390633zbMath1292.11134OpenAlexW2007416627MaRDI QIDQ2911517

Masakazu Yamagishi, Masato Goshima

Publication date: 31 August 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1317758102

zbMATH Keywords

elliptic curvediscrete torusgraph Laplacianlights out puzzleChebyshev-Dickson polynomials

Mathematics Subject Classification ID

Recurrences (11B37) Curves over finite and local fields (11G20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (3)

On weight-one solvable configurations of the Lights Out puzzle ⋮ A singular quartic curve over a finite field and the trisentis game ⋮ Periodic harmonic functions on lattices and Chebyshev polynomials

Uses Software

• ecdata

Cites Work

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• Chebyshev polynomials over finite fields and reversibility of \(\sigma\)-automata on square grids
• \(\sigma\)-game, \(\sigma ^{+}\)-game and two-dimensional additive cellular automata
• Periodic harmonic functions on lattices and points count in positive characteristic
• Fibonacci polynomials and parity domination in grid graphs
• Linear cellular automata and the garden-of-eden
• \(\sigma\)-Automata and Chebyshev-polynomials
• Periodic binary harmonic functions on lattices
• The σ-Game and Cellular Automata

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