Results 81 to 90 of about 353,414 (194)
A matrix interpolation between classical and free max operations: I. The univariate case
, 2010 14 pagesInternational audienceRecently, Ben Arous and Voiculescu considered taking the maximum of two free random variables and brought to light a deep analogy with the operation of taking the maximum of two independent random variables.
Cabanal-Duvillard, Thierry +1 more
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Asymptotic expansions in the CLT in free probability
, 2013 Chistyakov G, Götze F. Asymptotic expansions in the CLT in free probability. Probability Theory And Related Fields. 2013;157(1-2):107-156.We prove Edgeworth type expansions for distribution functions of sums of free random variables under minimal moment ...
Chistyakov, Gennadiy, Götze, Friedrich
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Boolean Cumulants and Subordination in Free Probability
, 2020 We study subordination of free convolutions. We prove that for free random variables $X,Y$ and a Borel function $f$ the conditional expectation $E_\varphi\left[ (z-X-f(X)Yf^*(X))^{-1}| X\right]$, is a resolvent again.
Szpojankowski, Kamil, Lehner, Franz
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Connection Science, 2019 This paper treats of the global event-triggered anti-synchronisation issue for discontinuous neural networks with the mixed time-varying delays and random feedback gain fluctuation via non-fragile control strategy.
Min Liu +3 more
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On the S-transform over a Banach algebra
, 2006 The S-transform is shown to satisfy a specific twisted multiplicativity property for free random variables in a B-valued Banach noncommutative probability space, for an arbitrary unital complex Banach algebra B. Also, a new proof of the additivity of the
Dykema, Kenneth J.
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Sums of Commutators in Free Probability
, 2020 We study the linear span of commutators of free random variables and show that these are the only quadratic forms which satisfy the following equivalent properties: * preservation free infinite divisibility * free and strong cancellation of odd ...
Ejsmont, Wiktor, Lehner, Franz
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On the Two-Moment Approximation of the Discrete-Time GI/G/1 Queue with a Single Vacation
Discrete Dynamics in Nature and Society, 2016 We consider a discrete-time GI/G/1 queue in which the server takes exactly one vacation each time the system becomes empty. The interarrival times of arriving customers, the service times, and the vacation times are all generic discrete random variables.
Doo Ho Lee
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Complete diagrammatics of the single-ring theorem
, 2017 Using diagrammatic techniques, we provide explicit functional relations between the cumulant generating functions for the biunitarily invariant ensembles in the limit of large size of matrices.
Wojciech Tarnowski +3 more
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F1000ResearchBackground Urolithiasis is one of the most common urological diseases worldwide. One of the most common therapy, extracorporeal shock wave lithotripsy (ESWL), has a high failure rate.
Ponco Birowo +3 more
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Polynomials in $c$-free random variables with applications to free denoising
We study distributions of polynomials in conditionally free (c-free) random variables, a notion of independence for two-state noncommutative probability spaces introduced by Bozejko, Leinert and Speicher. To this end we establish recursive relations between the joint Boolean cumulants of c-free random variables, analogous to previously found recursions
Celestino, Adrian +2 more
openaire +2 more sources