On Li-Yau Heat Kernel Estimate
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-021-0588-y
Abstract: We present some improvements of the Li-Yau heat kernel estimate on a Riemannian manifold with Ricci curvature bounded below. As a consequence we prove a gradient estimate to the heat kernel with an optimal leading… read more here.
Keywords: heat kernel; kernel estimate; yau heat;
Heat Kernel Analysis of Syntactic Structures
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-021-00498-0
Abstract: 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… read more here.
Keywords: analysis syntactic; heat kernel; kernel analysis; syntactic structures ... See more keywords
On the heat content for the Poisson heat kernel over convex bodies
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124655
Abstract: Abstract In this paper, the small time asymptotic behavior of the heat content related to the Poisson heat kernel over convex bodies of the euclidean space R d , d ≥ 2 , shall be… read more here.
Keywords: kernel convex; heat content; heat; heat kernel ... See more keywords
Intrinsic time gravity, heat kernel regularization, and emergence of Einstein’s theory
Sign Up to like & getrecommendations! Published in 2020 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/abcb0e
Abstract: The Hamiltonian of Intrinsic Time Gravity is elucidated. The theory describes Schrodinger evolution of our universe with respect to the fractional change of the total spatial volume. Gravitational interactions are introduced by extending Klauder's momentric… read more here.
Keywords: kernel regularization; time gravity; heat kernel; intrinsic time ... See more keywords
Davies’ method for heat-kernel estimates: An extension to the semi-elliptic setting
Sign Up to like & getrecommendations! Published in 2020 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/8050
Abstract: We consider a class of constant-coefficient partial differential operators on a finite-dimensional real vector space which exhibit a natural dilation invariance. Typically, these operators are anisotropic, allowing for different degrees in different directions. The “heat”… read more here.
Keywords: davies method; heat; heat kernel; heat kernels ... See more keywords
An Adaptive Affinity Matrix Optimization for Locality Preserving Projection via Heuristic Methods for Hyperspectral Image Analysis
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing"
DOI: 10.1109/jstars.2019.2947355
Abstract: Locality preserving projection (LPP) has been often used as a dimensionality reduction tool for hyperspectral image analysis especially in the context of classification since it provides a projection matrix for embedding test samples to low… read more here.
Keywords: heat kernel; locality preserving; projection; affinity matrix ... See more keywords
Heat kernel estimates for time fractional equations
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DOI: 10.1515/forum-2017-0192
Abstract: In this paper, we establish existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representations. We then derive sharp two-sided estimates for fundamental solutions of a family of time… read more here.
Keywords: estimates time; fractional equations; kernel estimates; time fractional ... See more keywords
A formula for the heat kernel coefficients on Riemannian manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Tohoku Mathematical Journal"
DOI: 10.2748/tmj/1593136821
Abstract: Based on the idea of adiabatic expansion theory, we will present a new formula for the asymptotic expansion coefficients of every derivative of the heat kernel on a compact Riemannian manifold. It will be very… read more here.
Keywords: formula heat; coefficients riemannian; heat kernel; riemannian manifolds ... See more keywords