Update to v0.2:
Fixed: corrected the leading order in the asymptotics for \rho_1 in theorem 1.2. Fixed: The clusters in the cluster expansion are multi-sets, not sets. Fixed: The Ursell function in lemma 3.3 needs to be divided by the multiplicity of each element. Fixed: In the proofs of lemma 3.4 and theorem 1.2, when individuating a polymer from a cluster, one needs to sum over its multiplicity so as to avoid overcounting. Fixed: Wrong estimate in the proof of lemma 3.4 which changes some of the constants. Fixed: Missing a smallness condition on \alpha in the proof of lemma 3.4. Fixed: Wrong argument for the analyticity of \zeta in the proof of theorem 1.2. Fixed: miscellaneous minor tweaks, reformulations, clarifications and typos.
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25
Changelog
25
Changelog
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0.2:
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* Fixed: corrected the leading order in the asymptotics for \rho_1 in
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theorem 1.2.
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* Fixed: The clusters in the cluster expansion are multi-sets, not sets.
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* Fixed: The Ursell function in lemma 3.3 needs to be divided by the
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multiplicity of each element.
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* Fixed: In the proofs of lemma 3.4 and theorem 1.2, when individuating a
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polymer from a cluster, one needs to sum over its multiplicity so
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as to avoid overcounting.
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* Fixed: Wrong estimate in the proof of lemma 3.4 which changes some of the
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constants.
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* Fixed: Missing a smallness condition on \alpha in the proof of lemma 3.4.
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* Fixed: Wrong argument for the analyticity of \zeta in the proof of
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theorem 1.2.
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* Fixed: miscellaneous minor tweaks, reformulations, clarifications and
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typos.
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0.1:
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* Fixed: deleted erroneous reference to Kramers and Wannier.
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