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math.PR2025
Free energy fluctuations in SK and related spin glass models: A literature survey
Elizabeth Collins-Woodfin, Han Gia Le
Over the past 50 years, spin glass models have generated a broad range of literature in mathematics, physics, and computer science. There has been much progress in characterizing a…
math.PR2025
Order of fluctuations of the free energy in the positive semi-definite MSK model at critical temperature
Elizabeth Collins-Woodfin, Han Gia Le
In this note, we consider the multi-species Sherrington-Kirkpatrick spin glass model at its conjectured critical temperature, and we show that, when the variance profile matrix $Δ^…