Book Review
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MathSciNet review:
3309607
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Alain-Sol Sznitman
Title:
Topics in occupation times and Gaussian free fields
Additional book information:
EMS Textbooks in Mathematics,
European Mathematical Society,
Z\"urich,
2012,
viii+114 pp.,
ISBN 978-3-03719-109-5,
\geneuro{}28.00
David Brydges, Jürg Fröhlich, and Thomas Spencer, The random walk representation of classical spin systems and correlation inequalities, Comm. Math. Phys. 83 (1982), no. 1, 123–150. MR 648362
E. B. Dynkin, Markov processes as a tool in field theory, J. Funct. Anal. 50 (1983), no. 2, 167–187. MR 693227, DOI 10.1016/0022-1236(83)90066-6
Nathalie Eisenbaum, Dynkin’s isomorphism theorem and the Ray-Knight theorems, Probab. Theory Related Fields 99 (1994), no. 2, 321–335. MR 1278888, DOI 10.1007/BF01199028
F. B. Knight, Random walks and a sojourn density process of Brownian motion, Trans. Amer. Math. Soc. 109 (1963), 56–86. MR 154337, DOI 10.1090/S0002-9947-1963-0154337-6
Daniel Ray, Sojourn times of diffusion processes, Illinois J. Math. 7 (1963), 615–630. MR 156383
Symanzik, Kurt, Euclidean Quantum Field Theory. In Scuola Internazionale di Fisica, “Enrico Fermi” XLV Corso, Academic Press, 1969, 152–223.
References
- David Brydges, Jürg Fröhlich, and Thomas Spencer, The random walk representation of classical spin systems and correlation inequalities, Comm. Math. Phys. 83 (1982), no. 1, 123–150. MR 648362 (83i:82032)
- E. B. Dynkin, Markov processes as a tool in field theory, J. Funct. Anal. 50 (1983), no. 2, 167–187. MR 693227 (85e:81074), DOI 10.1016/0022-1236(83)90066-6
- Nathalie Eisenbaum, Dynkin’s isomorphism theorem and the Ray–Knight theorems, Probab. Theory Related Fields 99 (1994), no. 2, 321–335. MR 1278888 (95d:60128), DOI 10.1007/BF01199028
- F. B. Knight, Random walks and a sojourn density process of Brownian motion, Trans. Amer. Math. Soc. 109 (1963), 56–86. MR 0154337 (27 \#4286)
- Daniel Ray, Sojourn times of diffusion processes, Illinois J. Math. 7 (1963), 615–630. MR 0156383 (27 \#6306)
- Symanzik, Kurt, Euclidean Quantum Field Theory. In Scuola Internazionale di Fisica, “Enrico Fermi” XLV Corso, Academic Press, 1969, 152–223.
Review Information:
Reviewer:
S. R. S. Varadhan
Affiliation:
Courant Institute
Email:
varadhan@cims.nyu.edu
Journal:
Bull. Amer. Math. Soc.
52 (2015), 167-169
DOI:
https://doi.org/10.1090/S0273-0979-2014-01472-7
Published electronically:
September 9, 2014
Review copyright:
© Copyright 2014
American Mathematical Society
