Titlebook: Random Walks, Random Fields, and Disordered Systems; Anton Bovier,David Brydges,Gregory F. Lawler,Marek Book 2015 Springer International P

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David Brydgessts, immunologists, and infectious disease specialists.Inclu.Volume Allergic Diseases is a comprehensive, multi-authored reference work, offering a broad appeal to microbiologists, immunologists, and infectious disease specialists. The volume explores all aspects of allergic diseases, body systems a

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Gregory F. Lawler,Jacob Perlmansts, immunologists, and infectious disease specialists.Inclu.Volume Allergic Diseases is a comprehensive, multi-authored reference work, offering a broad appeal to microbiologists, immunologists, and infectious disease specialists. The volume explores all aspects of allergic diseases, body systems a

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,From Spin Glasses to Branching Brownian Motion—and Back?,l Probab 22(4):1693–1711, 2012; Probab Theory Relat Fields 157:535–574, 2013). I also present some more recent results on the variable speed Brownian motion, obtained with Lisa Hartung (Electron J Probab 19(18):1–28, 2014; Lat Am J Probab Math Stat 12:261–291, 2015).

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,From Spin Glasses to Branching Brownian Motion—and Back?, particular the Generalised Random Energy models of Derrida and Gardner. The main emphasis is on a review of the construction of the extremal process of branching Brownian motion, done in collaboration with Louis-Pierre Arguin and Nicola Kistler (Commun Pure Appl Math 64(12):1647–1676, 2011; Ann App

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Phase Transitions in Discrete Structures, has led to many intriguing predictions as to, e.g., the precise location and nature of phase transitions and the performance of algorithms. In these notes I give a brief survey of the cavity method as well as an introduction into recent mathematical research aiming at putting the cavity method on a