Andreas Knauf

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Stochastic interdependence of a probablility distribution on a product space is measured by its Kullback-Leibler distance from the exponential family of product distributions (called multi-information). Here we investigate low-dimensional exponential families that contain the maximizers of stochastic interdependence in their closure. Based on a detailed(More)
We present numerical and analytical evidence for a rst-order phase transition of the ferromagnetic spin chain with partition function Z() = (? 1)==() at the inverse temperature cr = 2. In a recent paper 6] we established a link between analytic number theory and classical statistical mechanics by interpreting the quotient Z(s) = (s ? 1)==(s) of Riemann zeta(More)
We analyze the number-theoretical spin chain with partition function Z() = (? 1)==() using the polymer model technique. The nite (grand) canonical chains give bounds for the limit free energy and internal energy. The correlation functions for inverse temperature = ?1 are products of two-point functions. A combinatorial result for general interval graphs is(More)