Markov loops and renormalization
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Publication:984451
DOI10.1214/09-AOP509zbMath1197.60075arXiv0802.2478OpenAlexW2016458426MaRDI QIDQ984451
Publication date: 19 July 2010
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.2478
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probabilistic potential theory (60J45) Continuous-time Markov processes on discrete state spaces (60J27)
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Cites Work
- Contour lines of the two-dimensional discrete Gaussian free field
- A generalization of permanents and determinants
- On the Fock space representation of functionals of the occupation field and their renormalization
- A self-avoiding random walk
- Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes
- Dirichlet forms and symmetric Markov processes
- The Brownian loop soup
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- A characterization of the infinitely divisible squared Gaussian processes
- SLE and the free field: Partition functions and couplings
- Random walk loop soup
- Circulation for recurrent markov chains
- Mesures associées à une forme de Dirichlet. Applications
- The conformally invariant measure on self-avoiding loops
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