Universality Limits and Entropy Integrals

2018 ◽  
pp. 153-164
Author(s):  
Eli Levin ◽  
Doron S. Lubinsky
Keyword(s):  
Universality Limits

scholarly journals Universality limits in the bulk for varying measures

2008 ◽  
Vol 219 (3) ◽  
pp. 743-779 ◽  
Author(s):  
Eli Levin ◽  
Doron S. Lubinsky
Keyword(s):  
Universality Limits

DISCRETE CIRCULAR BETA ENSEMBLES

2013 ◽  
Vol 02 (03) ◽  
pp. 1350004
Author(s):  
D. S. LUBINSKY
Keyword(s):  
Probability Distribution ◽  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Correlation Functions ◽  
Characteristic Polynomials ◽  
Normalization Constant ◽  
Discrete Measure ◽  
Universality Limits ◽  
Point Correlation ◽  
Beta Ensembles

Let μ be a measure with support on the unit circle and n ≥ 1, β > 0. The associated circular β ensemble involves a probability distribution of the form [Formula: see text] where C is a normalization constant, and [Formula: see text] We explicitly evaluate the m-point correlation functions when μ is replaced by a discrete measure on the unit circle, generated by paraorthogonal orthogonal polynomials associated with μ, and use this to investigate universality limits for sequences of such measures. We also consider ratios of products of random characteristic polynomials.

scholarly journals Lepton-flavor universality limits in warped space

2017 ◽  
Vol 96 (7) ◽  
Author(s):  
Eugenio Megías ◽  
Mariano Quirós ◽  
Lindber Salas
Keyword(s):  
Lepton Flavor ◽  
Universality Limits
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