Results 21 to 30 of about 953 (217)
The Heat Kernel on Hyperbolic Space [PDF]
Bulletin of the London Mathematical Society, 1998 A new proof of the explicit formula for the heat kernel on hyperbolic space is provided. This formula is due to \textit{H. P. McKean} [J. Differ. Geom. 4, 359-366 (1970; Zbl 0197.18003)] for the case of the two-dimensional hyperbolic space and to \textit{A. Debiard, B. Gaveau} and \textit{E. Mazet} [Publ. Res. Inst. Math. Sci., Kyoto Univ. 12, 391-425 (
Grigor'yan, Alexander, Noguchi, Masakazu
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Exact Heat Kernel on a Hypersphere and Its Applications in Kernel SVM
Frontiers in Applied Mathematics and Statistics, 2018 Many contemporary statistical learning methods assume a Euclidean feature space. This paper presents a method for defining similarity based on hyperspherical geometry and shows that it often improves the performance of support vector machine compared to ...
Chenchao Zhao +3 more
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Volumetric heat kernel signatures [PDF]
Proceedings of the ACM workshop on 3D object retrieval, 2010 Invariant shape descriptors are instrumental in numerous shape analysis tasks including deformable shape comparison, registration, classification, and retrieval. Most existing constructions model a 3D shape as a two-dimensional surface describing the shape boundary, typically represented as a triangular mesh or a point cloud. Using intrinsic properties
Dan Raviv +3 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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Variable Besov–Morrey Spaces Associated with Operators
Mathematics, 2023 Let (X,d,μ) be a space of homogenous type and L be a non-negative self-adjoint operator on L2(X) with heat kernels satisfying Gaussian upper bounds. In this paper, we introduce the variable Besov–Morrey space associated with the operator L and prove that
Khedoudj Saibi
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High temperature heat kernel expansion and its applications
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The algorithm constructed to build the high-temperature heat kernel expansion and the statistic sum on the noncompact Lie groups manifolds is discussed in the article.
Vitaly Viktorovich Mikheyev
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Heat Kernel and Moduli Space [PDF]
Mathematical Research Letters, 1996 The author describes a proof of the formulas of \textit{E. Witten} [Commun. Math. Phys. 141, No. 1, 153-209 (1991; Zbl 0762.53063); J. Geom. Phys. 9, No. 4, 303-368 (1992; Zbl 0768.53042)] about the symplectic volumes and the intersection numbers of the moduli spaces of principal bundles on a compact Riemann surface.
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Cones, spins and heat kernels [PDF]
Nuclear Physics B, 1997 The heat kernels of Laplacians for spin 1/2, 1, 3/2 and 2 fields, and the asymptotic expansion of their traces are studied on manifolds with conical singularities. The exact mode-by-mode analysis is carried out for 2-dimensional domains and then extended to arbitrary dimensions.
FURSAEV D. V, MIELE, GENNARO
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AppliedMathThis paper explores the intersection of three foundational areas—partial differential equations, financial mathematics, and probability—by providing a rigorous framework for the classical Black-Scholes–Merton option pricing model and its generalized ...
Len Meas +3 more
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Frontiers in Plant Science, 2022 Maize is one of the most important field crops considering its utilization as food, feed, fodder, and biofuel. However, the sustainability of its production is under serious threat of heat and drought stresses, as these stresses could hamper crop growth,
Muhammad Irfan Yousaf +12 more
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