Random Walks and Physical Fields
This book presents fundamental relations between random walks on graphs and field theories of mathematical physics. Such relations have been explored for several decades and remain a rapidly developing research area in probability theory. The main objects of study include Markov loops, spanning fore...
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edició: | 1st ed. 2024. |
| Col·lecció: | Probability Theory and Stochastic Modelling,
106 |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-57923-3 |
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Taula de continguts:
- 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.