Gibbs/Equilibrium Measures for Functions of Multidimensional Shifts with Countable Alphabets
Description:
Consider a multidimensional shift space with a countably infinite alphabet, which serves in mathematical physics as a classical lattice gas or lattice spin system. A new definition of a Gibbs measure is introduced for suitable real-valued functions of the configuration space, which play the physical role of specific internal energy. The variational principle is proved for a large class of functions, and then a more restrictive modulus of continuity condition is provided that guarantees a functi…
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Date:
May 2011
Creator:
Muir, Stephen R.
Partner:
UNT Libraries