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ciclo: XXXIV

Titolo della tesi: Disordered models on sparse random graphs

The understanding of complex systems is a fundamental problem at the basis of many branches of human knowledge. In this thesis we aim to study some instances of complexity belonging to the realm of statistical physics of disordered systems. We focus on two models defined on sparse graphs, namely the random matching problem and the Ising spin glass, observing that sparsity may lead to macroscopic properties that are dramatically different from those exhibited on the fully-connected graph.

Produzione scientifica

11573/1621103 - 2022 - Unexpected Upper Critical Dimension for Spin Glass Models in a Field Predicted by the Loop Expansion around the Bethe Solution at Zero Temperature
Angelini, Maria Chiara; Lucibello, Carlo; Parisi, Giorgio; Perrupato, Gianmarco; Ricci-Tersenghi, Federico; Rizzo, Tommaso - 01a Articolo in rivista
rivista: PHYSICAL REVIEW LETTERS (American Institute of Physics:2 Huntington Quadrangle, Suite 1NO1:Melville, NY 11747:(800)344-6902, (631)576-2287, EMAIL:, INTERNET:, Fax: (516)349-9704) pp. - - issn: 0031-9007 - wos: WOS:000766670300001 (5) - scopus: 2-s2.0-85125883603 (7)

11573/1659076 - 2022 - Ising spin glass on random graphs at zero temperature: Not all spins are glassy in the glassy phase
Perrupato, Gianmarco; Angelini, Maria Chiara; Parisi, Giorgio; Ricci-Tersenghi, Federico; Rizzo, Tommaso - 01a Articolo in rivista
rivista: PHYSICAL REVIEW. B (Ridge NY: American Physical Society, [2016-]) pp. - - issn: 2469-9950 - wos: WOS:000893265700003 (0) - scopus: 2-s2.0-85142319402 (0)

11573/1472810 - 2020 - Random-link matching problems on random regular graphs
Parisi, G.; Perrupato, G.; Sicuro, G. - 01a Articolo in rivista
rivista: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT (Bristol : IOP Publishing) pp. 033301- - issn: 1742-5468 - wos: WOS:000521388400001 (6) - scopus: 2-s2.0-85085090896 (4)

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