Applying Fisher’s strong-disorder renormalisation group: a call for collaboration

Orphee Collin (TU Wien)

Oct 08. 2026, 11:20 — 11:50

Fisher’s strong-disorder renormalization group gives remarkably precise predictions for a broad class of one-dimensional disordered systems. I will first present the renormalisation group in relation with the random walk in random environment, as a first application setup. I will then discuss ongoing work on an enriched version of the flow, carrying auxiliary variables that encode physical observables, and on the joint scaling limit of the renormalized geometry and these variables. Beyond Sinai diffusion, possible applications include Glauber dynamics for the random-field Ising chain, the random transverse-field Ising chain, random antiferromagnetic chains, contact and reaction–diffusion processes, and random copolymers at a selective interface. In the physics literature, the enriched flow is believed to describe the scaling of key observables of these models. A central purpose of the talk is to invite collaborations with experts on these models: applying the RG rigorously requires controls specific to each microscopic system, hence the project would benefit from new collaborations.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Statistical Mechanics and Combinatorics of Discrete Planar Structures (Thematic Programme)
Organizer(s):
Nathanael Berestycki (U of Vienna)
Michael Drmota (TU Wien)
Ilse Fischer (U of Vienna)
Mihyun Kang (TU Graz)
Astrid Kollros (U of Vienna)
Christian Krattenthaler (U of Vienna)
Marcin Lis (TU Wien)
Benedikt Stufler (TU Wien)
Fabio Toninelli (TU Wien)