Random Walks and Physical Fields

Random Walks and Physical Fields

Le Jan, Yves

Springer International Publishing AG

08/2024

184

Dura

9783031579226

Pré-lançamento - envio 15 a 20 dias após a sua edição

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1 Markov Chains and Potential Theory on Graphs.- 2 Loop Measures.- 3 Decompositions, Traces and Excursions.- 4 Occupation Fields.- 5 Primitive Loops, Loop Clusters, and Loop Percolation.- 6 The Gaussian Free Field.- 7 Networks, Ising Model, Flows, and Configurations.- 8 Loop Erasure, Spanning Trees and Combinatorial Maps.- 9 Fock Spaces, Fermi Fields, and Applications.- 10 Groups and Covers.- 11 Holonomies and Gauge Fields.- 12 Reflection Positivity and Physical Space.
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Markov loops spanning trees;Graphs;Connections;Free field;Fock Spaces;Markov loop measures;Local times and free field;Ising model;Spanning trees;Fermi fields;Random holonomies;Casimir operator;Reflection positivity;Bose field