Markov Paths, Loops and Fields

List of contents

1 Symmetric Markov processes on finite spaces.- 2 Loop measures.- 3 Geodesic loops.- 4 Poisson process of loops.- 5 The Gaussian free field.- 6 Energy variation and representations.- 7 Decompositions.- 8 Loop erasure and spanning trees.- 9 Reflection positivity.- 10 The case of general symmetric Markov processes.

Product details

• Authors: Yves Le Jan
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 06.07.2011
• EAN: 9783642212154
• ISBN: 978-3-642-21215-4
• No. of pages: 124
• Dimensions: 157 mm x 7 mm x 234 mm
• Weight: 218 g
• Illustrations: VIII, 124 p. 9 illus.
• Series: Lecture Notes in Mathematics; École d'Été de Probabilités de Saint-Flour
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; B, Mathematics and Statistics, Probability Theory and Stochastic Processes, Probabilities, Stochastics, Probability Theory, Potential Theory, Potential theory (Mathematics)