Asymptotic forms for hard and soft edge general β conditional gap probabilities
نویسندگان
چکیده
منابع مشابه
Asymptotic forms for hard and soft edge general β conditional gap probabilities
An infinite log-gas formalism, due to Dyson, and independently Fogler and Shklovskii, is applied to the computation of conditioned gap probabilities at the hard and soft edges of random matrix β-ensembles. The conditioning is that there are n eigenvalues in the gap, with n |t|, t denoting the end point of the gap. It is found that the entropy term in the formalism must be replaced by a term inv...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2012
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2012.02.008