Double scaling limit in the random matrix model: The Riemann-Hilbert approach
نویسندگان
چکیده
منابع مشابه
Double Scaling Limit in the Random Matrix Model: The Riemann-Hilbert Approach
We prove the existence of the double scaling limit in the unitary matrix model with quartic interaction, and we show that the correlation functions in the double scaling limit are expressed in terms of the integrable kernel determined by the ψ function for the Hastings-McLeod solution to the Painlevé II equation. The proof is based on the Riemann-Hilbert approach, and the central point of the p...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2003
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.10065