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Roland Bauerschmidt, Decomposition of free fields and structural

stability of dynamical systems for renormalization group analysis, PhD Thesis 2013, http://hdl.handle.net/2429/448

Roland Bauerschmidt, David C. Brydges, Gordon Slade, Structural stability of a dynamical system near a non-hyperbolic fixed point http://arxiv.org/abs/1211.2477

David Brydges and Thomas Spencer, Fluctuation estimates for sub-quadratic gradient field actions, Journal of Mathematical Physics (Vol.53, Issue 9, 2012): URL: http://link.aip.org/link/?JMP/

D.C. Brydges, A. Dahlqvist and G. Slade. The strong interaction limit of continuous-time weakly self-avoiding walk. In

PDF file

D. Brydges and G. Slade. Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher. Revised April 27, 2010. In

D.C. Brydges, J.Z. Imbrie, G. Slade. Functional integral representations for self-avoiding walk.

Lectures at the 2007 Park City Summer School (Corrections welcomed).

http://www.ams.org/bookstore-getitem/item=PCMS-16

Statistical Mechanics Edited by:

Brydges, David and Talarczyk, Anna, Finite range decompositions of positive-definite functions,

Journal of Functional Analysis, Volume 236, Issue 2, 15 July 2006, Pages 682-711

http://dx.doi.org/10.1016/j.jfa.2006.03.008

David C.Brydges, G.Guadagni, P.K.Mitter

Finite range Decomposition of Gaussian Processes JSP 2004, 115, pages {415--449},

D. C. Brydges, P. K. Mitter, B. Scoppola. CRITICAL (Phi^{4}_{3,/epsilon}) Communications in Mathematical Physics, 240, 2003, pages 281--327

On Self Avoiding Walk and related problems (Applications of functional integration and supersymmetry) Lectures sponsored by PIMS http://www.math.ubc.ca/~db5d/Seminars/PIMSLectures2001/lectures.pdf

David C. Brydges, John Z. Imbrie. Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions, Communications in Mathematical Physics, 239, 2003, pages 549--584

David C. Brydges, John Z. Imbrie. End-to-end Distance from the Green's Function for a Hierarchical Self-Avoiding Walk

in Four Dimension Communications in Mathematical Physics, 239, 2003, pages 523--547

David C. Brydges, John Z. Imbrie. Dimensional Reduction Formulas for Branched Polymer Correlation Functions, Journal of Statistical Physics, 110, 2003, pages 503--518

David C. Brydges, John Z. Imbrie. Branched Polymers and Dimensional Reduction, Annals of Mathematics,

2003, 158, pages 1019-103

On Coulomb Systems (Application of Gaussian Functional Integration)

David C. Brydges, Ph. A. Martin. Coulomb systems at low density, Journal of Statistical Physics, 96, 1999, 1163--1330

This is a review of a result of G.X. Viennot which we think is important for statistical mechanics.