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The high temperature case for the random K-sat problem
Authors:Michel Talagrand
Affiliation:(1) Equipe d'Analyse, Tour 46, ESA au CNRS no. 7064, Université Paris VI, 4, place Jussieu, 75230 Paris Cedex 05, France, (e-mail: mit@ccr.jussieu.fr), FR;(2) Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, OH 43210-1174, USA. e-mail: talagran@math.ohio-state.edu, US
Abstract:We give a completely rigorous proof that the replica-symmetric solution holds at high enough temperature for the random K-sat problem. The most notable feature of this problem is that the order parameter of the system is a function and not a number. Received: 21 April 1998 / Revised version: 24 April 2000 / Published online: 21 December 2000
Keywords:Mathematics Subject Classification (2000): Primary 82D30   Secondary 60G99
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