Results 11 to 20 of about 2,027,139 (291)
Spectral Geometry for Structural Pattern Recognition [PDF]
, 2010 Graphs are used pervasively in computer science as representations of data with a network or relational structure, where the graph structure provides a flexible representation such that there is no fixed dimensionality for objects. However, the analysis
El Ghawalby, Hewayda
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Heat kernel for open manifolds [PDF]
Differential Geometry and its Applications, 2010 In a 1991 paper by Buttig and Eichhorn, the existence and uniqueness of a differential forms heat kernel on open manifolds of bounded geometry was proven. In that paper, it was shown that the heat kernel obeyed certain properties, one of which was a relationship between the derivative of heat kernel of different degrees.
Jones, Trevor H.
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Flow patterns and heat transfer for flow boiling in small to micro diameter tubes [PDF]
, 2008 An overview of the recent developments in the study of flow patterns and boiling heat transfer in small to micro diameter tubes is presented. The latest results of a long-term study of flow boiling of R134a in five vertical stainless steel tubes of ...
Karayiannis, TG +3 more
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Connecting quasinormal modes and heat kernels in 1-loop determinants
SciPost Physics, 2020 We connect two different approaches for calculating functional determinants on quotients of hyperbolic spacetime: the heat kernel method and the quasinormal mode method.
Cynthia Keeler, Victoria L. Martin, Andrew Svesko
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Geometric Deep Learning for Protein–Protein Interaction Predictions
IEEE Access, 2022 This work introduces novel approaches, based on geometrical deep learning, for predicting protein–protein interactions. A dataset containing both interacting and non-interacting proteins is selected from the Negatome Database.
Gabriel St-Pierre Lemieux +3 more
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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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Evaluation of the Third Heat Kernel Coefficient in a Dirac Field Theory by Mathematica [PDF]
, 2003 A computational method by Mathematica developed by the author is extended to evaluate the third coefficient of the heat kernel for the Dirac field in the gravitational background field.
Seo, kouichi +2 more
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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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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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Photometric Heat Kernel Signatures [PDF]
, 2012 In this paper, we explore the use of the diffusion geometry framework for the fusion of geometric and photometric information in local heat kernel signature shape descriptors. Our construction is based on the definition of a diffusion process on the shape manifold embedded into a high-dimensional space where the embedding coordinates represent the ...
Artiom Kovnatsky +3 more
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