Results 51 to 60 of about 11,188 (189)
, 2022 We study the hydrodynamic limits of three kinds of one-dimensional stochastic log-gases known as Dyson's Brownian motion model, its chiral version, and the Bru-Wishart process studied in dynamical random matrix theory.
Katori, Makoto +2 more
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On Free Regular and Bondesson Convolution Semigroups [PDF]
Journal of Theoretical Probability, 2019 Free regular convolution semigroups describe the distribution of free subortinators, while Bondesson class convolution semigroups correspond to classical subordinators with completely monotone Levy density. We show that these two classes of convolution semigroups are in bijection with the class of complete Bernstein functions and we establish an ...
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On a surprising relation between the Marchenko-Pastur law, rectangular and square free convolutions
, 2008 International audienceIn this paper, we prove a result linking the square and the rectangular R-transforms, the consequence of which is a surprising relation between the square and rectangular versions the free additive convolutions, involving the ...
Benaych-Georges, F. +2 more
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MathematicsIn this article, we study Va-transformation of a measure and of a convolution (denoted by a) defined for a∈R. We provide significant insights into the stability of the free Meixner family of probability measures under Va-transformation.
Fahad Alsharari, Raouf Fakhfakh
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A Study of the (a, b)-Deformed Free Convolution
SymmetryThis study is devoted to the detailed examination of the concept of (a,b)-deformation, defined for parameters a∈R and b>0. The analysis is conducted within the framework of Cauchy–Stieltjes kernel (CSK) families of probability measures, with particular attention given to the role of their variance functions (VFs). Using the VF as the main analytical
Abdulmajeed Albarrak +2 more
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Free convolutions and the Pearcey process in random matrix theory
, 2022 The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathematical physics and operator algebras. First, we examine elementary questions that arise in Voiculescu’s Free Probability Theory of non-commutative random ...
Moreillon, Philippe
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IEEE AccessTime series anomaly detection is a cornerstone of reliability in modern industrial systems and smart grids. While recent advancements, notably TimesNet, have achieved state-of-the-art performance by transforming 1D temporal sequences into 2D period ...
Jinheng Wang +6 more
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On the t-Transformation of Free Convolution
MathematicsThe study of the stability of measure families under measure transformations, as well as the accompanying limit theorems, is motivated by both fundamental and applied probability theory and dynamical systems. Stability analysis tries to uncover invariant or quasi-invariant measures that describe the long-term behavior of stochastic or deterministic ...
Shokrya S. Alshqaq +2 more
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TwinMixing: A shuffle-aware feature interaction model for multi-task segmentation
Results in EngineeringAccurate and efficient perception is essential for autonomous driving, where segmentation tasks such as drivable-area and lane segmentation provide critical cues for motion planning and control.
Minh-Khoi Do +4 more
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B-Valued free convolution for unbounded operators [PDF]
Indiana University Mathematics Journal, 2017 Several small errors corrected. Streamlined proofs.
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