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Название: Improved Bounds for the Transition Temperature of Directed Polymers in a Finite-Dimensional Random Medium
Авторы: Evans M.R., Derrida B.
We consider the problem of directed polymers in a random medium of a finitedimensional lattice. In the high-temperature phase of this system it is known that the annealed and quenched free energies coincide. Upper bounds on the transition temperature to a low-temperature phase had previously been obtained by calculating the first two moments and of the partition function. We improve these bounds by estimating noninteger moments for 1