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Infinite divisibility of a bethe lattice ising model

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Abstract

It is shown that the probability distribution for the infinite-volume, free-boundary-condition Ising ferromagnet on the Bethe lattice under zero external field is infinitely divisible with respect to the group operation of pointwise multiplication of spin variables.

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Glaffig, C., Waymire, E. Infinite divisibility of a bethe lattice ising model. J Stat Phys 47, 185–192 (1987). https://doi.org/10.1007/BF01009041

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  • DOI: https://doi.org/10.1007/BF01009041

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