Repeated emergence of 4/3-exponent

Jian Ding (Peking University)

Tue Aug 30, 14:00-15:00 (2 weeks from now)
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Abstract: In this talk, I will describe the emergence of the 4/3-exponent in two seemingly unrelated models: random distance of Liouville quantum gravity and correlation length for the two-dimensional random field Ising model. I will then explain that such 4/3-exponent, while being unexpected among respective communities even from a physics perspective, has in fact been hinted in Leighton-Shor (1989) and Talagrand (2014) where the 4/3-exponent emerges in a random matching problem. Finally, I will present the heuristic computation which leads to the emergence of the 4/3-exponent.

While I will review related progress on these topics, the two papers featuring 4/3-exponent are with Subhajit Goswami and with Mateo Wirth.

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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Organizers: Jan Dereziński, Marcello Porta*, Kasia Rejzner*, Hal Tasaki*
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