Markov loops, free field and Eulerian networks

Yves Le Jan

doi:10.2969/jmsj/06741671

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Markov loops, free field and Eulerian networks

Yves Le Jan

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Keywords: free field, Markov processes, ‘Loop soups’, Eulerian circuits, homology

JOURNAL FREE ACCESS

2015 Volume 67 Issue 4 Pages 1671-1680

DOI https://doi.org/10.2969/jmsj/06741671

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Abstract

We investigate the relations between the Poissonnian loop ensemble arising in the construction of random spanning trees, the free field, and random Eulerian networks.

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