scholarly journals A semicircle law and decorrelation phenomena for iterated Kolmogorov loops

2020 ◽  
Author(s):  
Karen Habermann
Keyword(s):  
Semicircle Law

Local semicircle law under weak moment conditions

2016 ◽  
Vol 93 (3) ◽  
pp. 248-250 ◽  
Author(s):  
F. Götze ◽  
A. A. Naumov ◽  
A. N. Tikhomirov ◽  
D. A. Timushev
Keyword(s):  
Moment Conditions ◽  
Semicircle Law ◽  
Local Semicircle Law

scholarly journals Free transport for convex potentials

10.53733/102 ◽  
2021 ◽  
Vol 52 ◽  
pp. 259-359
Author(s):  
Yoann Dabrowski ◽  
Alice Guionnet ◽  
Dima Shlyakhtenko
Keyword(s):  
Tensor Product ◽  
Stochastic Analysis ◽  
Gibbs State ◽  
Gibbs States ◽  
Convexity Condition ◽  
Semicircle Law ◽  
Free Transport ◽  
Transport Maps

We construct non-commutative analogs of transport maps among free Gibbs state satisfying a certain convexity condition. Unlike previous constructions, our approach is non-perturbative in nature and thus can be used to construct transport maps between free Gibbs states associated to potentials which are far from quadratic, i.e., states which are far from the semicircle law. An essential technical ingredient in our approach is the extension of free stochastic analysis to non-commutative spaces of functions based on the Haagerup tensor product.

On Optimal Bounds in the Local Semicircle Law under Four Moment Condition

2019 ◽  
Vol 99 (1) ◽  
pp. 40-43
Author(s):  
F. Götze ◽  
A. A. Naumov ◽  
A. N. Tikhomirov
Keyword(s):  
Moment Condition ◽  
Semicircle Law ◽  
Local Semicircle Law ◽  
Optimal Bounds

scholarly journals The almost sure semicircle law for random band matrices with dependent entries

2021 ◽  
Vol 131 ◽  
pp. 172-200
Author(s):  
Michael Fleermann ◽  
Werner Kirsch ◽  
Thomas Kriecherbauer
Keyword(s):  
Band Matrices ◽  
Semicircle Law ◽  
Random Band ◽  
Dependent Entries

scholarly journals Local Semicircle Law Under Fourth Moment Condition

2019 ◽  
Vol 33 (3) ◽  
pp. 1327-1362
Author(s):  
F. Götze ◽  
A. Naumov ◽  
A. Tikhomirov
Keyword(s):  
Moment Condition ◽  
Fourth Moment ◽  
Semicircle Law ◽  
Local Semicircle Law

scholarly journals Convergence to the Semicircle Law

1988 ◽  
Vol 16 (2) ◽  
pp. 863-875 ◽  
Author(s):  
Z. D. Bai ◽  
Y. Q. Yin
Keyword(s):  
Semicircle Law
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