Results 71 to 80 of about 11,188 (189)
, 2019 Latex, 20 pages, version extended to study Julia-Caratheodory derivatives for the functions involved.International audienceIn his article ''On the free convolution with a semicircular distribution," Biane found very useful characterizations of the ...
Belinschi, Serban +1 more
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Visual Localization for Deep-Sea Mining Vehicles During Operation
Journal of Marine Science and EngineeringDeep-sea mining operations demand continuous, drift-free positioning over multi-day missions—a requirement that traditional acoustic dead-reckoning systems struggle to meet due to cumulative error accumulation and frequent DVL bottom-lock loss in ...
Yangrui Cheng +4 more
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r-Free Convolution and Variance Function
AxiomsThe concept of r-free convolution (which is represented by r) was introduced for 0≤r≤1. It is equal to the Boolean additive convolution ⊎ if r=0 and reduced to the free additive convolution ⊞ when r=1. This paper presents certain features of the r-free convolution in relation to the CSK families and their associated variance functions.
Shokrya Saleh Alshqaq +2 more
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On the Hausdorff continuity of free Lèvy processes and free convolution semigroups
Journal of Mathematical Analysis and Applications, 2018 Let $μ$ denote a Borel probability measure and let $\{ μ_{t} \}_{t\geq 1}$ denote the free additive convolution semigroup of Nica and Speicher. We show that the support of these measures varies continuously in the Hausdorff metric for $t >1$. We utilize complex analytic methods and, in particular, a characterization of the absolutely continuous ...
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Fractional free convolution powers
, 2020 The extension $k \mapsto μ^{\boxplus k}$ of the concept of a free convolution power to the case of non-integer $k \geq 1$ was introduced by Bercovici-Voiculescu and Nica-Speicher, and related to the minor process in random matrix theory. In this paper we give two proofs of the monotonicity of the free entropy and free Fisher information of the ...
Shlyakhtenko, Dimitri +1 more
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High-clockrate free-space optical in-memory computing
Light: Science & ApplicationsThe ability to process and act on data in real time is increasingly critical for applications ranging from autonomous vehicles, three-dimensional environmental sensing, and remote robotics.
Yuanhao Liang +14 more
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Fabric Defect Detection Based on Improved Lightweight YOLOv8n
Applied SciencesIn response to the challenges posed by complex background textures and limited hardware resources in fabric defect detection, this study proposes a lightweight fabric defect detection algorithm based on an improved GSL-YOLOv8n model.
Shuangbao Ma, Yuna Liu, Yapeng Zhang
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Recent progress in bi-free harmonic analysis
, 2017 We will discuss new results and open questions in bi-free harmonic analysis, in which the left and right variables are assumed to commute with each other.
Wang, Jiun-Chau
core
Failure of the Raikov theorem for free random variables
, 2004 Summary. We show that the sum of two free random variables can have a free Poisson law without any of them having a free Poisson law. Key words: free probability theory, Raikov theorem, free Poisson distribution, free convolution, R-transform.
Florent Benaych-georges
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Algorithms for Computing the Free Distance of Convolutional Codes
2024 IEEE International Symposium on Information Theory (ISIT)The free distance of a convolutional code is a reliable indicator of its performance. However its computation is not an easy task. In this paper, we present some algorithms to compute the free distance with good efficiency that work for convolutional codes of all rates and over any field.
Zita Abreu +2 more
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