School Seminars and Colloquia

Self-avoiding walk enumeration via the lace expansion


by Dr Nathan Clisby

Institution: MASCOS, University of Melbourne
Date: Fri 20th October 2006
Time: 3:15 PM
Location: Theatre 2, Ground Floor, 111 Barry Street, Carlton

Abstract: We introduce a new method for the enumeration of self-avoiding walks based on the lace expansion. Combined with another algorithmic improvement which we call the two step method, we have been able to significantly extend the series for the simple cubic lattice from 26 to 30 terms, and dramatically extend series for hypercubic lattices with dimensions greater than three.

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