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Month: July 2021

The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain

The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain

Journal of Mathematical Physics, Volume DYSON2021, Issue 1, September 2022. In the classical β-ensembles of random matrix theory, setting β = 2α/N and taking the N → ∞ limit gives a statistical state depending on α. Using the loop equations for the cla…