Scaling limits of critical Ising correlations: convergence, fusion rules, applications to SLE

Fractal Geometry and Dynamics

24 October 14:00 - 14:50

Konstantin Izyurov - University of Helsinki

We prove convergence to conformally covariant scaling limits for a family of observables in the critical 2D Ising model, including spins, energies, disorders and fermions. We also check that the limits satisfy fusion rules (a. k. a. Operator product expansions) as predicted by Conformal Field Theory. I will also explain how to apply these results to deduce convergence of Ising interfaces to SLE(3) variants in a general setting. Joint work with D. Chelkak and C. Hongler.
Kenneth Falconer
University of St Andrews
Maarit Järvenpää
University of Oulu
Antti Kupiainen
University of Helsinki
Francois Ledrappier
University of Notre Dame
Pertti Mattila
University of Helsinki


Maarit Järvenpää


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