On asymptotic properties of a number theoretic function arising out of a spin chain model in statistical mechanics
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Publication:5953667
DOI10.1007/s002200100495zbMath1004.11051OpenAlexW2000036701MaRDI QIDQ5953667
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Publication date: 27 January 2002
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002200100495
Asymptotic results on arithmetic functions (11N37) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Miscellaneous applications of number theory (11Z05)
Related Items (12)
Remark on the Farey fraction spin chain ⋮ Distribution of the periodic points of the Farey map ⋮ Positive limit-Fourier transform of Farey fractions ⋮ Asymptotics of the Farey fraction spin chain free energy at the critical point ⋮ Products of matrices and and the distribution of reduced quadratic irrationals ⋮ Generalized number theoretic spin chain-connections to dynamical systems and expectation values ⋮ A thermodynamic classification of real numbers ⋮ The limit distribution of a number theoretic function arising from a problem in statistical mechanics ⋮ Cluster approximation for the Farey fraction spin chain ⋮ Distribution of periodic points of certain Gauss shifts with infinite invariant measure ⋮ Spin chains and Arnold's problem on the Gauss-Kuz'min statistics for quadratic irrationals ⋮ Distribution of the reduced quadratic irrationals arising from the odd continued fraction expansion
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