Probability seminar: Ongoing simplifications for the lace expansion

29 January 2016, 4.00 PM - 29 January 2016, 5.00 PM

Erwin Bolthausen, Universit├Ąt Z├╝rich

SM3, School of Mathematics

Erwin Bolthausen, Universität Zürich

Ongoing simplifications for the lace expansion

(joint work with Remco van der Hofstad and Gady Kozma)


 

The lace expansion had been introduced in a seminal paper by Brydges and Spencer to prove the central limit theorem for (weakly) self-avoiding random walks in high dimensions. It has found wide applications to other models, like in percolation theory. The expansion itself is not difficult, at least for the self-avoiding case, but the applications had originally been based on quite complicated techniques. We report on some developments obtained recently in papers with Luca Avena, Christine Ritzmann, Gady Kozma, and Remco van der Hofstad which are all based on a direct x-space approach.

Contact information

Organisers: Marton Balazs, Haeran Cho

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