Discrete Heat Equation Morphisms

スポンサーリンク

概要

• 論文の詳細を見る

• We study heat kernels of locally finite graphs and discrete heat equation morphisms. These are combinatorial analogs to heat equation morphisms in Riemannian geometry (cf. E. Loubeau, [10]), parallel closely the discrete harmonic morphisms due to H. Urakawa, [13], and their properties are related to the initial value problem for the discrete heat equation. In applications we consider Hamming graphs (using the discrete Fourier calculus on Z2N), establish a heat kernel comparison theorem, and study the maps of ε-nets induced by heat equation morphisms among two complete Riemannian manifolds.

• 東北大学の論文

著者

• Dragomir Sorin

  Università Degli Studi Della Basilicata Dipartimento Di Matematica E Informatica

• ABATANGELO Vito

  Politecnico di Bari, Dipartimento di Matematica

• Abatangelo Vito

  Politecnico Di Bari Dipartimento Di Matematica

関連論文

• Foliated CR manifolds : Dedicated to Professor Philippe Tondeur on his seventieth birthday
• On the Inhomogeneous Yang-Mills Equation dD*RD=f
• Pseudoharmonic maps and vector fields on CR manifolds
• Unstable harmonic maps into real hypersurfaces of a complex Hopf manifold
• Discrete Fourier Calculus and Graph Reconstruction
• Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundary
• Discrete Heat Equation Morphisms
• CR PRODUCTS IN LOCALLY CONFORMAL KAHLER MANIFOLDS

スポンサーリンク