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Ebook: Computational complexity and statistical physics

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27.01.2024
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Statistical Mechanics reflects the latest techniques and developments in statistical mechanics. Covering a variety of concepts and topics - molecular dynamic methods, renormalization theory, chaos, polymer chain folding, oscillating chemical reactions, and cellular automata. 15 computer programs written in FORTRAN are provided to illustrate the concepts as well as more than 100 chapter-end exercises Where statistical physics meets computation / Allon G. Percus, Gabriel Istrate, and Cristopher Moore -- Threshold phenomena and influence : perspectives from mathematics, computer science, and economics / Gil Kalai and Shmuel Safra -- Analyzing search algorithms with physical methods / Simona Cocco ... [et al.] -- Constraint satisfaction by survey propagation / Alfredo Braunstein ... [et al.] -- The easiest hard problem : number partitioning / Stephan Mertens -- Ground states, energy landscape, and low-temperature dynamics of ±J spin glasses / Sigismund Kobe and Jarek Krawczyk -- The satisfiability threshold conjecture : techniques behind upper bound improvements / Lefteris M. Kirousis, Yannis C. Stamatiou, and Michele Zito -- Proving conditional randomness using the principle of deferred decisions / Alexis C. Kaporis, Lefteris M. Kirousis, and Yiannis C. Stamatiou -- The phase transition in the random hornSAT problem / Demetrios D. Demopoulos and Moshe Y. Vardi -- Phase transitions for quantum search algorithms / Tad Hogg -- Scalability, random surfaces, and synchronized computing networks / Zoltan Toroczkai ... [et al.] -- Combinatorics of genotype-phenotype maps : an RNA case study / Christian M. Reidys -- Towards a predictive computational complexity theory for periodically specified problems : a survey / Harry B. Hunt III ... [et al.]
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