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Abstract: We establish lower bounds for the entropy of the Hard Core Model on a few 2dlattices $\scriptstyle { m {\bf L}}.$ In this model the allowed configurationsinside $\scriptstyle \{0,1\}^{{ m {\bf L}}}$ are the one-s in which thenearest neighbor $\scriptstyle 1$-s are forbidden. Our method which is based ona sequential fill-in scheme is unbiassed and thereby yields in principlearbitrarily good estimates for the topological entropy. The procedure alsogives some detailed information on the support of the measure of maximalentropy.

Author: Kari Eloranta

Source: https://arxiv.org/

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