Anton Bovier,David Brydges,Amin Coja-Oghlan,Dmitry's Random Walks, Random Fields, and Disordered Systems (Lecture PDF

By Anton Bovier,David Brydges,Amin Coja-Oghlan,Dmitry Ioffe,Gregory F. Lawler,Marek Biskup,Jiří Černý,Roman Kotecký

Focusing at the arithmetic that lies on the intersection of chance conception, statistical physics, combinatorics and machine technology, this quantity collects jointly lecture notes on contemporary advancements within the quarter. the typical floor of those matters could be most sensible defined by way of the 3 phrases within the identify: Random Walks, Random Fields and Disordered platforms. the categorical subject matters coated contain a research of Branching Brownian movement from the viewpoint of disordered (spin-glass) platforms, a close research of weakly self-avoiding random walks in 4 spatial dimensions through equipment of box idea and the renormalization workforce, a learn of section transitions in disordered discrete constructions utilizing a rigorous model of the hollow space technique, a survey of contemporary paintings on interacting polymers within the ballisticity regime and, eventually, a treatise on two-dimensional loop-soup types and their connection to conformally invariant platforms and the Gaussian loose box. The notes are aimed toward early graduate scholars with a modest historical past in chance and mathematical physics, even supposing they can even be loved by means of professional researchers attracted to studying approximately contemporary advances within the above fields.

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Random Walks, Random Fields, and Disordered Systems (Lecture Notes in Mathematics) by Anton Bovier,David Brydges,Amin Coja-Oghlan,Dmitry Ioffe,Gregory F. Lawler,Marek Biskup,Jiří Černý,Roman Kotecký


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