Markov loops, free field and Eulerian networks
نویسندگان
چکیده
منابع مشابه
Markov loops and renormalization
We study the Poissonnian ensembles of Markov loops and the associated renormalized self intersection local times..
متن کاملMarkov loops, coverings and fields
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.
متن کاملInformation in Strings: Enumeration of Eulerian Paths and Eulerian Components in Markov Sequences
In this paper, we evaluate the number of Eulerian circuits that can be obtained by an arbitrary rotation in a Markovian string, i.e., corresponding to a given Markovian type. Since all rotations do not result in an Eulerian circuit, but several of them, called Eulerian components; we also investigate the number of Eulerian components that result from a random rotation in a Markovian string. We ...
متن کاملMarkov Paths, Loops and Fields (preliminary Version)
We study the Poissonnian ensembles of Markov loops and the associated renormalized self intersection local times.
متن کاملMarkov Loops, Determinants and Gaussian Fields
The purpose of this note is to explore some simple relations between loop measures, determinants, and Gaussian Markov fields. These relations are related to Dynkin’s isomorphism (cf[1], [8], [5]) . Their potential interest could be suggested by noting that loop measures were defined in [3] for planar Brownian motion and are related to SLE processes (see also [11]). It is also the case for the f...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2015
ISSN: 0025-5645
DOI: 10.2969/jmsj/06741671