Analysis and stochastic processes on metric measure spaces

Estimates of eigenvalues in context of PDEs (35P15) Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Two-sided estimates of heat kernels on metric measure spaces
On a class of Markov semigroups on discrete ultra-metric spaces
On stochastic completeness of jump processes
On a cohomology of digraphs and Hochschild cohomology
Graphs associated with simplicial complexes
Surgery of the Faber-Krahn inequality and applications to heat kernel bounds
Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces
Cohomology of digraphs and (undirected) graphs
Lower estimates for a perturbed Green function
Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces
Heat kernel on manifolds with ends
On the parabolic kernel of the Schrödinger operator
Weak type estimates for singular values and the number of bound states of Schrödinger operators
Piecewise-polynomial approximation of functions from \(H^ \ell((0,1)^ d)\), \(2\ell=d\), and applications to the spectral theory of the Schrödinger operator
Dirichlet forms and symmetric Markov processes
Hitting probabilities for Brownian motion on Riemannian manifolds.
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities
Stability results for Harnack inequalities.
On the equivalence of parabolic Harnack inequalities and heat kernel estimates
Homotopy theory for digraphs
Negative eigenvalues of two-dimensional Schrödinger operators
Homotopy theory of graphs
Heat kernel estimates for stable-like processes on \(d\)-sets.
Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula
Estimates of heat kernels for non-local regular Dirichlet forms
Isotropic Markov semigroups on ultra-metric spaces
Volume Growth and Escape Rate of Brownian Motion on a Cartan—Hadamard Manifold
Generalized functions over the field ofp-adic numbers
Global and local behavior of positive solutions of nonlinear elliptic equations
Differential equations on riemannian manifolds and their geometric applications
Bounds on the eigenvalues of the Laplace and Schroedinger operators
Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
On Hardy-Littlewood Inequality for Brownian Motion on Riemannian Manifolds
Dirichlet heat kernel in the exterior of a compact set
Heat kernels on metric measure spaces and an application to semilinear elliptic equations
Discrete differential calculus: Graphs, topologies, and gauge theory
Heat Kernel Lower Bounds on Riemannian Manifolds Using the Old Ideas of Nash
On the Existence of Positive Solutions of Semilinear Elliptic Inequalities on Riemannian Manifolds
On negative eigenvalues of two‐dimensional Schrödinger operators
Heat Kernels and Green Functions on Metric Measure Spaces
On Nonnegative Solutions of the Inequality Δ u + u^σ ≤ 0 on Riemannian Manifolds

This page was built for publication: Analysis and stochastic processes on metric measure spaces