Results 11 to 20 of about 8,503,072 (299)
Matrix concentration inequalities and free probability [PDF]
Inventiones mathematicae, 2023 56 ...
Bandeira, Afonso S. +2 more
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Eigenstate Thermalization Hypothesis and Free Probability [PDF]
Physical Review Letters, 2022 5 pages, 2 figures and 5 pages of supplementary material. This paper has been submitted simultaneously with "Dynamics of Fluctuations in the Open Quantum SSEP and Free Probability" by L. Hruza and D.
Pappalardi, Silvia +2 more
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Coherent Fluctuations in Noisy Mesoscopic Systems, the Open Quantum SSEP, and Free Probability [PDF]
Physical Review X, 2023 Quantum coherences characterize the ability of particles to quantum mechanically interfere within some given distances. In the context of noisy many-body quantum systems, these coherences can fluctuate. A simple toy model to study such fluctuations in an
Ludwig Hruza, Denis Bernard
doaj +2 more sources
The splitting process in free probability theory [PDF]
, 2015 Free cumulants were introduced by Speicher as a proper analog of classical cumulants in Voiculescu's theory of free probability. The relation between free moments and free cumulants is usually described in terms of Moebius calculus over the lattice of ...
Ebrahimi-Fard, Kurusch, Patras, Frederic
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Spectrum Concentration in Deep Residual Learning: A Free Probability Approach [PDF]
IEEE Access, 2019 We revisit the weight initialization of deep residual networks (ResNets) by introducing a novel analytical tool in free probability to the community of deep learning.
Zenan Ling, Robert C. Qiu
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Quantum signatures of chaos from free probability
Journal of High Energy PhysicsA classical dynamical system can be viewed as a probability space equipped with a measure-preserving time evolution map, admitting a purely algebraic formulation in terms of the algebra of bounded functions on the phase space.
Hugo A. Camargo +4 more
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Journal of High Energy PhysicsUtilizing the framework of free probability, we analyze the spectral and operator statistics of the Rosenzweig-Porter random matrix ensembles, which exhibit a rich phase structure encompassing ergodic, fractal, and localized regimes.
Viktor Jahnke +4 more
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On the Mutual Information of Multi-RIS Assisted MIMO: From Operator-Valued Free Probability Aspect [PDF]
IEEE Transactions on Communications, 2023 The reconfigurable intelligent surface (RIS) is useful to effectively improve the coverage and data rate of end-to-end communications. In contrast to the well-studied coverage-extension use case, in this paper, multiple RIS panels are introduced, aiming ...
Zhong Zheng +4 more
semanticscholar +1 more source
Bernoulli Variables, Classical Exclusion Processes and Free Probability [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2022 We present a new description of the known large deviation function of the classical symmetric simple exclusion process by exploiting its connection with the quantum symmetric simple exclusion processes and using tools from free probability. This may seem
Michel Bauer +3 more
semanticscholar +1 more source
Pre- and post-operative nomograms to predict recurrence-free probability in korean men with clinically localized prostate cancer. [PDF]
PLoS One, 2014 Objectives Although the incidence of prostate cancer (PCa) is rapidly increasing in Korea, there are few suitable prediction models for disease recurrence after radical prostatectomy (RP).
Kang M +15 more
europepmc +2 more sources