David Brydges Explained
David Brydges should not be confused with David Bridges.
David Chandos Brydges (born 1 July 1949 in Chester, UK) is a mathematical physicist.
Brydges received in 1976 his Ph.D. from the University of Michigan with thesis advisor Paul Federbush and thesis A Linear Lower Bound for Generalized Yukawa Model Field Theories. Brydges was a professor at the University of Virginia and is now a professor emeritus (formerly holding a Canada Research Chair) at the University of British Columbia in Vancouver.
Brydges is concerned with mathematical quantum field theory and statistical mechanics. His research deals with functional integral techniques (including supersymmetry techniques), cluster development techniques, renormalization group methods on problems of static mechanics, and probabilistic problems. In 1985 he and Thomas C. Spencer introduced "lace expansion" for the analysis of the self-avoiding walk.[1]
From 2003 to 2005, Brydges was president of International Association of Mathematical Physics. In 2007, he was elected a Fellow of the Royal Society of Canada. In 2010 he was, with Gordon Slade, an Invited Speaker at the International Congress of Mathematicians in Hyderabad.[2] In 2024, he received the Henri Poincaré Prize from the International Association of Mathematical Physics.[3]
Selected publications
- Brydges . David . Fröhlich . Jürg . Seiler . Erhard . 1979 . On the construction of quantized gauge fields. I. General results . . 121 . 1 . 227 . 1979AnPhy.121..227B . 10.1016/0003-4916(79)90098-8.
- Brydges . David C. . Fröhlich . Jürg . Seiler . Erhard . 1980 . Construction of quantised gauge fields: II. Convergence of the lattice approximation . . 71 . 2 . 159 . 1980CMaPh..71..159B . 10.1007/BF01197918 . 127953558 .
- Brydges . David C. . Fröhlich . Jürg . Seiler . Erhard . 1981 . On the construction of quantized gauge fields: III. The two-dimensional abelian higgs model without cutoffs . Communications in Mathematical Physics . 79 . 3 . 353 . 1981CMaPh..79..353B . 10.1007/BF01208500.
- Brydges . David C. . 1978 . A rigorous approach to Debye screening in dilute classical coulomb systems . Communications in Mathematical Physics . 58 . 3 . 313–350 . 1978CMaPh..58..313B . 10.1007/BF01614227. 122030703 .
- Brydges . David . Federbush . Paul . 1978 . A new form of the Mayer expansion in classical statistical mechanics . . 19 . 10 . 2064 . 1978JMP....19.2064B . 10.1063/1.523586.
- Brydges . David C. . Federbush . Paul . 1980 . Debye screening . Communications in Mathematical Physics . 73 . 3 . 197 . 1980CMaPh..73..197B . 10.1007/BF01197700. 2027.42/46519 . 189831842 . free .
- Book: Brydges . David C. . Federbush . Paul . 1981 . Debye Screening in Classical Coulomb Systems . Rigorous Atomic and Molecular Physics . 371–439 . 10.1007/978-1-4613-3350-0_9 . 978-1-4613-3352-4.
- Brydges . David . Fröhlich . Jürg . Spencer . Thomas . 1982 . The random walk representation of classical spin systems and correlation inequalities . Communications in Mathematical Physics . 83 . 1 . 123 . 1982CMaPh..83..123B . 10.1007/BF01947075. 56021547 .
- Book: Brydges, David C.
. 1986 . A short course on cluster expansions . Osterwalder . K. . Stora . R. . Les Houches, Session XLIII, 1984 . http://www.math.ubc.ca/~db5d/Seminars/les_houches_84.pdf . Elsevier Science Publishers B. V..
- Brydges . David . Spencer . Thomas . 1985 . Self-avoiding walk in 5 or more dimensions . Communications in Mathematical Physics . 97 . 1–2 . 125 . 1985CMaPh..97..125B . 10.1007/BF01206182. 189832287 .
- Brydges . David C. . Martin . Ph. A . 1999 . Coulomb Systems at Low Density: A Review . . 96 . 5–6 . 1163 . cond-mat/9904122 . 1999JSP....96.1163B . 10.1023/A:1004600603161. 54979869 .
References
- Book: 978-3-540-31189-8 . The Lace Expansion and its Applications . Slade . Gordon . 2006 . . . 1879.
- Book: 10.1142/9789814324359_0143 . 978-981-4324-30-4 . Renormalisation Group Analysis of Weakly Self-avoiding Walk in Dimensions Four and Higher . Proceedings of the International Congress of Mathematicians 2010 . 2232–2257 . 2011 . Brydges . David . Slade . Gordon . World Scientific. 1003.4484 . 15183531 .
- Web site: ICMP 2024 . 2024-07-14 . icmp2024.org.
External links
