laguerre ensemble
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Recursion for the Smallest Eigenvalue Density of $$\beta $$ β -Wishart–Laguerre Ensemble

Journal of Statistical Physics ◽

10.1007/s10955-019-02245-z ◽

2019 ◽

Vol 175 (1) ◽

pp. 126-149 ◽

Author(s):

Santosh Kumar

Keyword(s):

Smallest Eigenvalue ◽

Eigenvalue Density ◽

Laguerre Ensemble

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Smallest eigenvalue density for regular or fixed-trace complex Wishart–Laguerre ensemble and entanglement in coupled kicked tops

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aa7d0e ◽

2017 ◽

Vol 50 (34) ◽

pp. 345201 ◽

Author(s):

Santosh Kumar ◽

Bharath Sambasivam ◽

Shashank Anand

Keyword(s):

Smallest Eigenvalue ◽

Eigenvalue Density ◽

Laguerre Ensemble

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The smallest eigenvalue distribution in the real Wishart–Laguerre ensemble with even topology

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/48/24/245202 ◽

2015 ◽

Vol 48 (24) ◽

pp. 245202 ◽

Author(s):

T Wirtz ◽

G Akemann ◽

T Guhr ◽

M Kieburg ◽

R Wegner

Keyword(s):

Eigenvalue Distribution ◽

The Real ◽

Smallest Eigenvalue ◽

Laguerre Ensemble

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Capacitance and charge relaxation resistance of chaotic cavities —Joint distribution of two linear statistics in the Laguerre ensemble of random matrices

EPL (Europhysics Letters) ◽

10.1209/0295-5075/109/50004 ◽

2015 ◽

Vol 109 (5) ◽

pp. 50004 ◽

Author(s):

Aurélien Grabsch ◽

Christophe Texier

Keyword(s):

Random Matrices ◽

Joint Distribution ◽

Relaxation Resistance ◽

Linear Statistics ◽

Charge Relaxation ◽

Laguerre Ensemble

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On the largest eigenvalue of products from the β-Laguerre ensemble

Random Matrices Theory and Application ◽

10.1142/s2010326314500087 ◽

2014 ◽

Vol 03 (02) ◽

pp. 1450008

Author(s):

Zachary Gelbaum

Keyword(s):

Limiting Distribution ◽

Largest Eigenvalue ◽

Laguerre Ensemble ◽

The Largest Eigenvalue

We determine the limiting distribution of the largest eigenvalue of products from the β-Laguerre ensemble. This limiting distribution is given by a Tracy–Widom law with parameter β0 > 0 depending on the ratio of the parameters of the two matrices involved.

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Bulk Scaling Limit of the Laguerre Ensemble

Electronic Journal of Probability ◽

10.1214/ejp.v16-854 ◽

2011 ◽

Vol 16 (0) ◽

pp. 314-346 ◽

Author(s):

Stephanie Jacquot ◽

Benedek Valko

Keyword(s):

Scaling Limit ◽

Laguerre Ensemble

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Large deviations of the smallest eigenvalue of the Wishart-Laguerre ensemble

Physical Review E ◽

10.1103/physreve.82.040104 ◽

2010 ◽

Vol 82 (4) ◽

Author(s):

Eytan Katzav ◽

Isaac Pérez Castillo

Keyword(s):

Large Deviations ◽

Smallest Eigenvalue ◽

Laguerre Ensemble

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Laguerre ensemble and integrable systems

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(96)00042-2 ◽

1997 ◽

Vol 8 (1) ◽

pp. 99-107 ◽

Author(s):

Toshinao Akuzawa ◽

Miki Wadati

Keyword(s):

Integrable Systems ◽

Laguerre Ensemble

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Some eigenvalue distribution functions of the Laguerre ensemble

Journal of Physics A General Physics ◽

10.1088/0305-4470/29/23/019 ◽

1996 ◽

Vol 29 (23) ◽

pp. 7561-7579 ◽

Author(s):

Y Chen ◽

S M Manning

Keyword(s):

Distribution Functions ◽

Eigenvalue Distribution ◽

Laguerre Ensemble

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Impurity scattering in mesoscopic quantum wires and the Laguerre ensemble

Physical Review B ◽

10.1103/physrevb.50.2380 ◽

1994 ◽

Vol 50 (4) ◽

pp. 2380-2392 ◽

Author(s):

Keith Slevin ◽

Taro Nagao

Keyword(s):

Quantum Wires ◽

Impurity Scattering ◽

Laguerre Ensemble

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