Limit elements in the configuration algebra for a cancellative monoid

DOI10.2977/PRIMS/2zbMath1208.05057arXiv1201.6500MaRDI QIDQ963068

Kyoji Saito

Publication date: 8 April 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.6500

zbMATH Keywords

partition functionIsing modelHopf algebragrowth functionmonoidcompact spaces

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Semigroups in automata theory, linguistics, etc. (20M35) Algebraic properties of function spaces in general topology (54C40) Hopf algebras and their applications (16T05)

Related Items (7)

On relations for zeros of \(f\)-polynomials and \(f^{+}\)-polynomials ⋮ Dead ends on wreath products and lamplighter groups ⋮ Inversion formula for the growth function of a cancellative monoid. ⋮ Opposite power series ⋮ Counting subgraphs in hyperbolic graphs with symmetry ⋮ Zero loci of skew-growth functions for dual Artin monoids ⋮ The skew-growth function on the monoid of square matrices.

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