[BOOK][B] Heat kernel and analysis on manifolds
A Grigoryan - 2009 - books.google.com
" This volume contains the expanded lecture notes of courses taught at the Emile Borel
Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent …
Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent …
Estimates of heat kernels on Riemannian manifolds
A Grigor'yan - London Math. Soc. Lecture Note Ser, 1999 - books.google.com
Estimates of heat kernels on Riemannian manifolds Page 154 Estimates of heat kernels on
Riemannian manifolds Alexander Grigor'yan Imperial College London SW7 2BZ England email …
Riemannian manifolds Alexander Grigor'yan Imperial College London SW7 2BZ England email …
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals
D Parra, S Richard - Reviews in Mathematical Physics, 2018 - World Scientific
In this paper, we investigate the spectral and the scattering theory of Schrödinger operators
acting on perturbed periodic discrete graphs. The perturbations considered are of two types …
acting on perturbed periodic discrete graphs. The perturbations considered are of two types …
[HTML][HTML] Spectral and asymptotic properties of Grover walks on crystal lattices
Y Higuchi, N Konno, I Sato, E Segawa - Journal of Functional Analysis, 2014 - Elsevier
We propose a twisted Szegedy walk for estimating the limit behavior of a discrete-time
quantum walk on a crystal lattice, an infinite abelian covering graph, whose notion was …
quantum walk on a crystal lattice, an infinite abelian covering graph, whose notion was …
Spectral properties of Schrödinger operators on perturbed lattices
We study the spectral properties of Schrödinger operators on perturbed lattices. We shall
prove the non-existence or the discreteness of embedded eigenvalues, the limiting …
prove the non-existence or the discreteness of embedded eigenvalues, the limiting …
Albanese maps and off diagonal long time asymptotics for the heat kernel
M Kotani, T Sunada - Communications in Mathematical Physics, 2000 - Springer
We discuss long time asymptotic behaviors of the heat kernel on a non-compact
Riemannian manifold which admits a discontinuous free action of an abelian isometry group …
Riemannian manifold which admits a discontinuous free action of an abelian isometry group …
Jacobian tori associated with a finite graph and its abelian covering graphs
M Kotani, T Sunada - Advances in Applied Mathematics, 2000 - Elsevier
Jacobian Tori Associated with a Finite Graph and Its Abelian Covering Graphs Page 1 Advances
in Applied Mathematics 24, 89–110 (2000) doi:10.1006/aama.1999.0672, available online at …
in Applied Mathematics 24, 89–110 (2000) doi:10.1006/aama.1999.0672, available online at …
[HTML][HTML] Spectral structure of the Laplacian on a covering graph
Y Higuchi, Y Nomura - European Journal of Combinatorics, 2009 - Elsevier
In this paper we study the spectral structure of the discrete Laplacian on an infinite graph.
We show that, for a finite graph including a certain kind of a family of cycles, the spectrum of …
We show that, for a finite graph including a certain kind of a family of cycles, the spectrum of …
Large deviation and the tangent cone at infinity of a crystal lattice
M Kotani, T Sunada - Mathematische Zeitschrift, 2006 - Springer
We discuss a large deviation property of a periodic random walk on a crystal lattice in view
of geometry, and relate it to a rational convex polyhedron in the first homology group of a …
of geometry, and relate it to a rational convex polyhedron in the first homology group of a …
Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice
K Ando - Annales Henri Poincaré, 2013 - Springer
We consider the spectral theory and inverse scattering problem for discrete Schrödinger
operators on the hexagonal lattice. We give a procedure for reconstructing finitely supported …
operators on the hexagonal lattice. We give a procedure for reconstructing finitely supported …