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Approximating the Hard Square Entropy Constant with Probabilistic Methods
Square Entropy Constant Probabilistic Methods
2010/11/15
For any two-dimensional nearest neighbor shift of finite type X and any integer n > 0, one can define the horizontal strip shift H_n(X) to be the set of configurations on Z x {1,...,n} which do not c...
Probabilistic methods for discrete nonlinear Schrödinger equations
Nonlinear Schrodinger equation invariant measure discrete breather exactly solvable model
2010/12/14
Using techniques from probability theory, we show that the thermodynamics of the focusing cubic discrete nonlinear Schrodinger equation (NLS) are exactly solvable in dimensions three and higher.A num...