2004/06/28 by Guilhem Semerjian, Semerjian, Guilhem
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0406682
Ph. D. Thesis, 140 pages, in french
arxiv created 2004/06/28 · openalex publication_date 2004/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This thesis is devoted to the study of dynamical properties of diluted\nmodels. These are mean field statistical mechanics systems, but with finite\nlocal connectivity. Among other reasons, the interest for these models arises\nfrom their deep relationship with combinatorial optimization problems, random\nK-satisfiability for instance.\n Several analytical descriptions of their out of equilibrium regime are\ndescribed. This regime can be due to long relaxation times in glassy phases,\nlack of detailed balance condition for optimization algorithms, or transient\nrelaxation from an arbitrary initial condition for ferromagnets. In the course\nof these studies some attention will also be given to random matrix theory, and\nto a generalization of fluctuation-dissipation theorem for n-times functions.\n