Talk
Critical exponents for self-avoiding branched polymers
- David C. Brydges (The University of British Columbia, Mathematics Department, Canada)
Abstract
In 1981 Parisi and Sourlas conjectured values for the critical exponents for self-avoiding branched polymers in 2, 3 and 4 dimensions. We prove these conjectures and other results as a corollary of a combinatoric identity that identifies the generating function for branched polymers in D+2 dimensions with the pressure of the hard core gas in D dimensions.
