TL;DR
This paper explores the historical and mathematical development of the Ising model, highlighting its mysterious nature, key collaborations, and ongoing research challenges in understanding its magnetic susceptibility.
Contribution
It provides a historical overview and discusses the deep mathematical connections of the Ising model, including its relation to Painlevé equations and unresolved mysteries.
Findings
Connection between Ising model and Painlevé VI equation
Historical insights into Ising model's development
Ongoing mysteries in magnetic susceptibility
Abstract
The essence of romance is mystery. In this talk, given in honor of the 60th birthday of Michio Jimbo, I will explore the meaning of this for the Ising model beginning in 1946 with Bruria Kaufman and Willis Lamb, continuing with the wedding by Jimbo and Miwa in 1980 of the Ising model with the Painlev{\'e} VI equation which had been first discovered by Picard in 1889. I will conclude with the current fascination of the magnetic susceptibility and explore some of the mysteries still outstanding.
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Taxonomy
TopicsOpinion Dynamics and Social Influence