Notre étude montre les relations existant entre les ensembles poissoniens de lacets, les champs qu’ils définissent, les circuits euleriens, les revêtements galoisiens des graphes et les champs de jauges associés.
We investigate the relations between the Poissonnian loop ensembles, their occupation fields, non ramified Galois coverings of a graph, the associated gauge fields, and random Eulerian networks.
Mots clés : Free field, Markov processes, ‘Loop soups’, Eulerian circuits, homology
Yves Le Jan 1
CC-BY 4.0
@article{AFST_2017_6_26_2_401_0,
author = {Yves Le Jan},
title = {Markov loops, coverings and fields},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {401--416},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 26},
number = {2},
year = {2017},
doi = {10.5802/afst.1538},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1538/}
}
TY - JOUR AU - Yves Le Jan TI - Markov loops, coverings and fields JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2017 SP - 401 EP - 416 VL - 26 IS - 2 PB - Université Paul Sabatier, Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1538/ DO - 10.5802/afst.1538 LA - en ID - AFST_2017_6_26_2_401_0 ER -
%0 Journal Article %A Yves Le Jan %T Markov loops, coverings and fields %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2017 %P 401-416 %V 26 %N 2 %I Université Paul Sabatier, Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1538/ %R 10.5802/afst.1538 %G en %F AFST_2017_6_26_2_401_0
Yves Le Jan. Markov loops, coverings and fields. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 2, pp. 401-416. doi : 10.5802/afst.1538. https://afst.centre-mersenne.org/articles/10.5802/afst.1538/
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