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G Gallavotti and S MiracleSole A variational principle for the equilibrium of a hard
a Markov chain I H III Litovsk Mat Sb 9 1969 345362 635672 10 1970 161169
Russian MR 42 1188
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abelian group analogous analytic analytic function arbitrary arcwise connected assertion assume asymptotic bialgebra boundary bounded coefficients compact complete components consider constant constructed contained converges Corollary corresponding curve cyclic group defined definition denote diffeomorphism differential disk domain elements elliptic module endomorphism ring equation equivalent estimate exists extended finite number follows formula free modules free R-module function germ group G Hence Hilbert Hilbert algebra holomorphic function homomorphism ideal indecomposable inequality infinite integral intersection isomorphism Lemma linear manifold mapping Math maximal metrizable morphism neighborhood nilpotent norm normal normal subgroup notation obtain operator polygonal line polynomial problem proof of Theorem properties Proposition proved R-module respect ring group saddle points satisfies the conditions segment semigroup solution space subgroup subset subspace sufficiently small Suppose Sylow p-subgroup Theorem tion transformation variables vector zero