The high temperature case for the random K-sat problem

被引:0
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作者
Michel Talagrand
机构
[1] Equipe d'Analyse,
[2] Tour 46,undefined
[3] ESA au CNRS no. 7064,undefined
[4] Université Paris VI,undefined
[5] 4,undefined
[6] place Jussieu,undefined
[7] 75230 Paris Cedex 05,undefined
[8] France,undefined
[9] (e-mail: mit@ccr.jussieu.fr),undefined
[10] Department of Mathematics,undefined
[11] The Ohio State University,undefined
[12] 231 West 18th Avenue,undefined
[13] Columbus,undefined
[14] OH 43210-1174,undefined
[15] USA. e-mail: talagran@math.ohio-state.edu,undefined
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Mathematics Subject Classification (2000): Primary 82D30; Secondary 60G99;
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摘要
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.
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页码:187 / 212
页数:25
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