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APRG Seminar

Title: Free energy of the diluted Shcherbina–Tirozzi model with quadratic Hamiltonian
Speaker: Ratul Biswas (University of Minnesota, Minneapolis, USA)
Date: 18 January 2023
Time: 3 pm
Venue: LH-1, Mathematics Department

The study of diluted spin glasses may help solve some problems in computer science and physics. In this talk, I shall introduce the diluted Shcherbina–Tirozzi (ST) model with a quadratic Hamiltonian, for which we computed the free energy at all temperatures and external field strengths. In particular, we showed that the free energy can be expressed in terms of the weak limits of the quenched spin variances and identified these weak limits as the unique fixed points of a recursive distributional operator. The talk is based on a joint work with Wei-Kuo Chen and Arnab Sen.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 25 Jan 2023