Titlebook: Random Walks and Physical Fields; Yves Le Jan Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spring

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Fock Spaces, Fermi Fields, and Applications,ators on the skew symmetric Fock space, and show how it can be used to prove versions of the transfer current theorem for rooted spanning forests and for spanning trees. Applications are given in the case of the complete graph, in particular to prove the existence of a giant subtree and study its re

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Holonomies and Gauge Fields, connection induces a Galois covering. Loops and spanning forests on the cover are related to bosonic and fermionic fields which can be decomposed using group representation theory into fields interacting with the connection. We introduce the measure on connections given by the expectation of the pr

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2199-3130 elation between merge-and-split generators on loop ensembles and Casimir operators on connections, and the key reflection positivity property for the fields under consideration..Aimed at researchers and graduat978-3-031-57925-7978-3-031-57923-3Series ISSN 2199-3130 Series E-ISSN 2199-3149

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Probability Theory and Stochastic Modellinghttp://image.papertrans.cn/r/image/821098.jpg

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https://doi.org/10.1007/978-3-031-57923-3Markov loops spanning trees; Graphs; Connections; Free field; Fock Spaces; Markov loop measures; Local tim

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