Prof. Dr.

Contact-Details:

eMail: grigor@math.uni-bielefeld.de

Recent Preprints


07049	Heat kernel on manifolds with ends	PDF
07050	Heat kernel upper bounds for jump processes and the first exit time	PDF
07051	Obtaining upper bounds of heat kernels from lower bounds	PDF
07052	Heat kernel upper bounds on fractal spaces	PDF
07053	Lower estimates for a perturbed Green function	PDF
08038	On the dichotomy in the heat kernel two sided estimates	PDF
08039	Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces	PDF
08040	Heat kernels on metric measure spaces	PDF
08057	Volume growth and escape rate of Brownian motion on a Cartan-Hadamard manifold	PDF
08123	Upper bounds of heat kernels on doubling spaces	PDF
09021	Heat kernels on metric spaces with doubling measure	PDF
10021	Comparison inequalities for heat semigroups and heat kernels on metric measure spaces	PDF
10022	Two-sided estimates of heat kernels on metric measure spaces	PDF
10023	On the existence of positive solutions of semi-linear elliptic inequalities on Riemannian manifolds	PDF
10081	Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data	PDF
11003	On stochastic completeness of jump processes	PDF
11032	On a class of Markov semigroups on discrete ultra-metric spaces	PDF
11033	On the equivalence of parabolic Harnack inequalities and heat kernel estimates	PDF
11112	Estimates of heat kernels for non-local regular Dirichlet forms	PDF
11113	Stochastic completeness of symmetric Markov processes and volume growth	PDF
11116	Negative eigenvalues of two-dimensional Schrödinger operators	PDF
11130	Parabolicity and stochastic completeness of manifolds in terms of the Green formula	PDF
12020	On nonnegative solutions of the inequality $\Delta u+u^{\sigma }\leq 0$ on Riemannian manifolds	PDF
12021	Heat kernel estimates on a connected sum of two copies of $\mathbb{R}^n$ along a surface of revolution	PDF
12066	Homologies of digraphs	PDF
12078	Heat kernels and Green functions on metric measure spaces	PDF
12090	Graphs associated with simplicial complexes	PDF
12105	Differential calculus on algebras and graphs	PDF
12123	Cohomology theories of simplicial complexes, algebras, and digraphs	PDF
12131	Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities	PDF
13036	Heat kernels on metric measure spaces	PDF
13037	Stochastic completeness of jump processes on metric measure spaces	PDF
13038	Isotropic Markov semigroups on ultra-metric spaces	PDF
13055	Path complexes and their homologies	PDF
14034	A lower bound for the number of negative eigenvalues of Schrödinger operators	PDF
14038	Homotopy theory for digraphs	PDF
15036	Surgery of the Faber-Krahn inequality and applications to heat kernel bounds	PDF
15037	Fundamental groupoids of digraphs and graphs	PDF
15040	Pointwise estimates of solutions to semilinear elliptic equations and inequalities	PDF
17013	Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces	PDF
17014	Heat kernel estimates on connected sums of parabolic manifolds	PDF
17015	Yamabe type equations on finite graphs	PDF
17016	Kazdan-Warner equation on graph	PDF
17017	Existence of positive solutions to some nonlinear equations on locally finite graphs	PDF

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