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Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_n$
Comptes Rendus. Mathématique, 2021 In this article, we consider the radial Dunkl geometric case $k=1$ corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positive valued Dunkl kernel and for the radial heat kernel.
Graczyk, Piotr, Sawyer, Patrice
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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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Index-free heat kernel coefficients [PDF]
Classical and Quantum Gravity, 1998 Using index-free notation, we present the diagonal values of the first five heat kernel coefficients associated with a general Laplace-type operator on a compact Riemannian space without boundary. The fifth coefficient appears here for the first time. For a flat space with a gauge connection, the sixth coefficient is given too.
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Intrinsic Functional Partially Linear Poisson Regression Model for Count Data
AxiomsPoisson regression is a statistical method specifically designed for analyzing count data. Considering the case where the functional and vector-valued covariates exhibit a linear relationship with the log-transformed Poisson mean, while the covariates in
Jiaqi Xu +5 more
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Asymptotics of a modified holomorphic analytic torsion
Complex ManifoldsWe prove a formula for the first few terms of the asymptotic expansion of the holomorphic analytic torsion of the Dirac operator modified by the Clifford action of a real and closed three-form.
Larraín-Hubach Andrés
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Heat Kernels on homogeneous spaces [PDF]
Journal of the Australian Mathematical Society, 2005 AbstractLet a1… adbe a basis of the Lie algebragof a connected Lie groupGand letMbe a Lie subgroup of,G. Ifdxis a non-zero positive quasi-invariant regular Borel measure on the homogeneous spaceX = G/MandS: X × G→ C is a continuous cocycle, then under a rather weak condition ondxandSthere exists in a natural way a (weakly*) continuous ...
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GENETIC DIVERSITY FOR HEAT TOLERANT RELATED TRAITS IN MAIZE INBRED LINES
Agricultura, 2018 The present investigation was carried out at research field of National Maize Research Program (NMRP), Rampur, Chitwan, Nepal during February to June 2016.
Kandel Manoj +3 more
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ζ-function and heat kernel formulae
Journal of Functional Analysis, 2011 Comment: accepted to Journal of Functional ...
Sukochev, Fedor, Zanin, Dmitriy
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On the heat kernel of the Rumin complex and Calderón reproducing formula
Analysis and Geometry in Metric SpacesWe derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo +2 more
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SHORT TIME FULL ASYMPTOTIC EXPANSION OF HYPOELLIPTIC HEAT KERNEL AT THE CUT LOCUS
Forum of Mathematics, Sigma, 2017 In this paper we prove a short time asymptotic expansion of a hypoelliptic heat kernel on a Euclidean space and a compact manifold. We study the ‘cut locus’ case, namely, the case where energy-minimizing paths which join the two points under ...
YUZURU INAHAMA, SETSUO TANIGUCHI
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