Keyword

heat kernel

Description: A fundamental solution of the heat equation that describes how heat diffuses over time on a space or manifold.

Primary topic: Geometric Analysis and Curvature Flows (20%)

Wikidata ID: wiki/Q3345669

OpenAlex ID: keywords/heat-kernel

Spectral Graph Theory

1996 · Fan Chung · Regional conference series in mathematics · 5,750

Heat Kernels and Spectral Theory

1989 · E. B. Davies · Cambridge University Press eBooks · 2,388

Eigenvalues in Riemannian Geometry

1984 · Pure and applied mathematics · 1,760

Heat Kernels and Dirac Operators

1992 · Nicole Berline, Ezra Getzler, et al. · Springer eBooks · 1,753

A Concise and Provably Informative Multi‐Scale Signature Based on Heat Diffusion

2009 · Jian Sun, Maks Ovsjanikov, et al. · Computer Graphics Forum · 1,464

Zeta function regularization of path integrals in curved spacetime

1977 · S. W. Hawking · Communications in Mathematical Physics · 1,456

Aspects of Quantum Field Theory in Curved Space-Time

1989 · Stephen A. Fulling · Cambridge University Press eBooks · 1,124

Analysis and Geometry of Markov Diffusion Operators

2013 · Dominique Bakry, Ivan Gentil, et al. · Grundlehren der mathematischen Wissenschaften · 1,021

R-Torsion and the Laplacian on Riemannian manifolds

1971 · D.B. Ray, I.M. Singer · Advances in Mathematics · 988

Analysis on Fractals

2001 · Jun Kigami · Cambridge University Press eBooks · 933

On geometric entropy

1994 · Curtis Callan, Frank Wilczek · Physics Letters B · 844

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Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

1999 · Alexander Grigor’yan · Bulletin of the American Mathematical Society · 807

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On the heat equation and the index theorem

1973 · M. Atiyah, R. Bott, et al. · Inventiones mathematicae · 724

Le Spectre d’une Variété Riemannienne

1971 · Marcel Berger, Paul Gauduchon, et al. · Lecture notes in mathematics · 691

Stochastic Analysis on Manifolds

2002 · Elton Hsu · Graduate studies in mathematics · 635

Analysis of Heat Equations on Domains

2004 · Ouhabaz, E.-M. · HAL (Le Centre pour la Communication Scientifique Directe) · 514

Analysis of the Laplacian on the complete Riemannian manifold

1983 · Robert S Strichartz · Journal of Functional Analysis · 502

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Convolutional wasserstein distances

2015 · Justin Solomon, Fernando de Goes, et al. · ACM Transactions on Graphics · 483

Heat Kernel and Analysis on Manifolds

2012 · Alexander Grigor’yan · AMS/IP studies in advanced mathematics · 476

The Laplacian on a Riemannian Manifold

1997 · Steven Rosenberg · Cambridge University Press eBooks · 462

Analytic Torsion for Complex Manifolds

1973 · D. B. Ray, I. M. Singer · Annals of Mathematics · 448

Transport inequalities, gradient estimates, entropy and Ricci curvature

2004 · Max‐K. von Renesse, Karl‐Theodor Sturm · Communications on Pure and Applied Mathematics · 431

Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians

1984 · E.B Davies, B Simon · Journal of Functional Analysis · 412

Analytic Torsion and The Heat Equation

1979 · Jeff Cheeger · Annals of Mathematics · 392

Analytic torsion and R-torsion of Riemannian manifolds

1978 · Werner Müller · Advances in Mathematics · 381

Works count: 4,632

Citation count: 79,800