Loop Measures and the Gaussian Free Field

DOI10.1007/978-3-319-19339-7_5zbMath1338.60234arXiv1403.4285OpenAlexW1796116364MaRDI QIDQ2808192

Gregory F. Lawler, Jacob Perlman

Publication date: 20 May 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4285

zbMATH Keywords

Gaussian free fieldloop measuresloop soupsfinite state Markov chains

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (4)

Space-time random walk loop measures ⋮ Topics in loop measures and the loop-erased walk ⋮ The Renormalization Group and Self-avoiding Walk ⋮ Weighted graphs and complex Gaussian free fields

Cites Work

• Unnamed Item
• The probability that planar loop-erased random walk uses a given edge
• Functional integral representations for self-avoiding walk
• Markov processes as a tool in field theory
• The Brownian loop soup
• Random walk loop soup
• Random Walk: A Modern Introduction

This page was built for publication: Loop Measures and the Gaussian Free Field