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Markov Paths, Loops and Fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 /
The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the free field. These relations are first studi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Edición: | 1st ed. 2011. |
| Colección: | École d'Été de Probabilités de Saint-Flour ;
2026 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 100 | 1 | |a Le Jan, Yves. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Markov Paths, Loops and Fields |h [electronic resource] : |b École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 / |c by Yves Le Jan. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a VIII, 124 p. 9 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a École d'Été de Probabilités de Saint-Flour ; |v 2026 | |
| 505 | 0 | |a 1 Symmetric Markov processes on finite spaces -- 2 Loop measures -- 3 Geodesic loops -- 4 Poisson process of loops -- 5 The Gaussian free field -- 6 Energy variation and representations -- 7 Decompositions -- 8 Loop erasure and spanning trees -- 9 Reflection positivity -- 10 The case of general symmetric Markov processes. | |
| 520 | |a The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the free field. These relations are first studied in complete generality for the finite discrete setting, then partly generalized to specific examples in infinite and continuous spaces. | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Potential theory (Mathematics). | |
| 650 | 1 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Potential Theory. |
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| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642212154 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642212178 |
| 830 | 0 | |a École d'Été de Probabilités de Saint-Flour ; |v 2026 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-21216-1 |z Texto Completo |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||