Discrete Mathematics

Get 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

ISBN-10: 3319193384

ISBN-13: 9783319193380

Focusing at the arithmetic that lies on the intersection of likelihood concept, statistical physics, combinatorics and machine technological know-how, this quantity collects jointly lecture notes on contemporary advancements within the quarter. the typical flooring of those matters is likely to be most sensible defined by means of the 3 phrases within the identify: Random Walks, Random Fields and Disordered structures. the explicit themes lined comprise a research of Branching Brownian movement from the viewpoint of disordered (spin-glass) platforms, an in depth research of weakly self-avoiding random walks in 4 spatial dimensions through equipment of box concept and the renormalization staff, a examine of section transitions in disordered discrete buildings utilizing a rigorous model of the hollow space procedure, a survey of modern paintings on interacting polymers within the ballisticity regime and, ultimately, a treatise on two-dimensional loop-soup versions and their connection to conformally invariant platforms and the Gaussian loose box. The notes are geared toward early graduate scholars with a modest history in likelihood and mathematical physics, even though they can even be loved via professional researchers drawn to studying approximately fresh 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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