Active shape model

Tree kernel

Pure mathematics

Discrete mathematics

Support vector machine

Boundary value problem

Computer science

Kernel embedding of distributions

Kernel (algebra)

Segmentation

Mathematics

Kernel method

Mathematical analysis

Artificial intelligence

Dirichlet distribution

Heat kernel

Heat kernel signature

Advanced studies in pure mathematics

After a short survey of some of the reasons that make the heat kernel an important object of study, we review a number of basic heat kernel estimates. We then describe recent results concerning (a) the heat kernel on certain manifolds with ends, and (b) the heat kernel with the Neumann or Dirichlet boundary condition in inner uniform Euclidean domains.

The heat kernel and its estimates