Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
We study Laplacians associated to a graph and single out a class of such operators with
special regularity properties. In the case of locally finite graphs, this class consists of all …
special regularity properties. In the case of locally finite graphs, this class consists of all …
Spectral analysis of certain spherically homogeneous graphs
We study operators on rooted graphs with a certain spherical homogeneity. These graphs
are called path commuting and allow for a decomposition of the adjacency matrix and the …
are called path commuting and allow for a decomposition of the adjacency matrix and the …
Volume growth and bounds for the essential spectrum for Dirichlet forms
S Haeseler, M Keller… - Journal of the London …, 2013 - Wiley Online Library
We consider operators arising from regular Dirichlet forms with vanishing killing term. We
give bounds for the bottom of the (essential) spectrum in terms of exponential volume growth …
give bounds for the bottom of the (essential) spectrum in terms of exponential volume growth …
Conservation property of symmetric jump-diffusion processes
Y Shiozawa - Forum Mathematicum, 2015 - degruyter.com
We establish a conservativeness criterion for symmetric jump-diffusion processes generated
by regular Dirichlet forms. Using this criterion, we characterize the conservation property in …
by regular Dirichlet forms. Using this criterion, we characterize the conservation property in …
[PDF][PDF] Stochastic completeness of symmetric Markov processes and volume growth
A Grigor'yan - Rend. Semin. Mat. Univ. Politec. Torino, 2013 - iris.unito.it
Stochastic completeness of symmetric Markov processes and volume growth Page 37 Rend.
Sem. Mat. Univ. Politec. Torino Vol. 71, 2 (2013), 227–237 Alexander Grigor’yan STOCHASTIC …
Sem. Mat. Univ. Politec. Torino Vol. 71, 2 (2013), 227–237 Alexander Grigor’yan STOCHASTIC …