Results 21 to 30 of about 2,478,358 (353)
The Heat Equation on Submanifolds in Lie Groups and Random Motions on Spheres
Mathematics, 2023 We studied the random variable Vt=volS2(gtB∩B), where B is a disc on the sphere S2 centered at the north pole and (gt)t≥0 is the Brownian motion on the special orthogonal group SO(3) starting at the identity.
Ibrahim Al-Dayel, Sharief Deshmukh
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Heat kernel for higher-order differential operators and generalized exponential functions [PDF]
Physical Review D, 2019 We consider the heat kernel for higher-derivative and nonlocal operators in $d$-dimensional Euclidean space-time and its asymptotic behavior. As a building block for operators of such type, we consider the heat kernel of the minimal operator - generic ...
A. Barvinsky, P. I. Pronin, W. Wachowski
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Heat Kernel Analysis of Syntactic Structures [PDF]
Mathematics in Computer Science, 2021 We consider two different data sets of syntactic parameters and we discuss how to detect relations between parameters through a heat kernel method developed by Belkin-Niyogi, which produces low dimensional representations of the data, based on Laplace eigenfunctions, that preserve neighborhood information.
Ortegaray, Andrew +2 more
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Capacity and the Corresponding Heat Semigroup Characterization from Dunkl-Bounded Variation
Fractal and Fractional, 2021 In this paper, we study some important basic properties of Dunkl-bounded variation functions. In particular, we derive a way of approximating Dunkl-bounded variation functions by smooth functions and establish a version of the Gauss–Green Theorem.
Xiangling Meng, Yu Liu, Xiangyun Xie
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Heat Kernel for Liouville Brownian Motion and Liouville Graph Distance [PDF]
Communications in Mathematical Physics, 2018 We show the existence of the scaling exponent $$\chi = \chi (\gamma )$$χ=χ(γ), with $$\begin{aligned} 0 < \chi \le \frac{4}{\gamma ^2} \left( \left( 1+ {\gamma ^2} / 4 \right) - \sqrt{1+ {\gamma ^4} / {16} } \right) , \end{aligned ...
Jian Ding, O. Zeitouni, Fuxi Zhang
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Noncommutative Heat Kernel [PDF]
Letters in Mathematical Physics, 2004 We consider a natural generalisation of the Laplace type operators for the case of non-commutative (Moyal star) product. We demonstrate existence of a power law asymptotic expansion for the heat kernel of such operators on T^n. First four coefficients of this expansion are calculated explicitly.
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Heat Kernel Estimates of Fractional Schrödinger Operators with Negative Hardy Potential [PDF]
Potential Analysis, 2018 We obtain two-sided estimates for the heat kernel (or the fundamental function) associated with the following fractional Schrödinger operator with negative Hardy potential Δα/2 − λ|x|−αΔα/2−λ|x|−α\documentclass[12pt]{minimal} \usepackage{amsmath ...
T. Jakubowski, Jian Wang
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ON THE HEAT INTEGRAL IDENTITY FOR UNBOUNDED FUNCTIONS
Проблемы анализа, 2018 The well known heat integral identity in an unbounded strip is extended to a class of unbounded functions both at x near infinity and t near zero. Continuity of derivatives are relaxed to differentiability in the L^(1;loc)-Sobolev sense.
Biryuk A . +2 more
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Adaptive Graph Convolution Using Heat Kernel for Attributed Graph Clustering
Applied Sciences, 2020 Attributed graphs contain a lot of node features and structural relationships, and how to utilize their inherent information sufficiently to improve graph clustering performance has attracted much attention.
Danyang Zhu +3 more
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Cogent Engineering, 2023 The Superheated steam has been shown to be more effective than hot air for drying corn. Modeling studies have been carried out in fluidized bed dryers to determine the moisture and heat transfer characteristics of corn, but there are no modeling studies ...
Mercy Jepchirchir Kimwa +2 more
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