Jauslin Lebowitz 2017 (B) http://ian.jauslin.org/cgit/articles/17jlB.git/atom/README?h=master 2018-04-16T02:14:09Z 2018-04-16T02:14:09Z Ian Jauslin jauslin@ias.edu 2018-04-08T05:10:49Z urn:sha1:f76337d7390ab2daefb6b439072aecdbebd7517e 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. 2017-09-21T19:25:55Z Ian Jauslin jauslin@ias.edu 2017-09-19T16:14:31Z urn:sha1:ec3406fb7ae7141b0b163f74f3b24620fb41342b Fixed: deleted erroneous reference to Kramers and Wannier. Fixed: changed boundary conditions. Fixed: definition of \mathbb S(X). Fixed: miscellaneous minor tweaks, formatting and typos. Added: informal description of Gaunt-Fisher configurations. Changed: title. Changed: reformulate main theorem. 2017-08-06T16:49:38Z Ian Jauslin jauslin@ias.edu 2017-08-06T16:42:24Z urn:sha1:dfe8ce959045f414cb717b1737731964f89d02aa