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Billiards and boundary traces of eigenfunctions

Steve Zelditch (2003)

Journées équations aux dérivées partielles

This is a report on recent results with A. Hassell on quantum ergodicity of boundary traces of eigenfunctions on domains with ergodic billiards, and of work in progress with Hassell and Sogge on norms of boundary traces. Related work by Burq, Grieser and Smith-Sogge is also discussed.

Bohm Aharonov effects for bounded states in the case of systems

O. Hebbar (1994)

Annales de l'I.H.P. Physique théorique

Borne explicite du nombre de tores plats isopectraux à un tore donné.

Hubert Pesce (1992)

Manuscripta mathematica

Bornes universelles pour des invariants géométriques

Sylvestre Gallot (1982/1983)

Séminaire de théorie spectrale et géométrie

Bounded domains which are isospectral but not congruent

Hajime Urakawa (1982)

Annales scientifiques de l'École Normale Supérieure

Branson's $Q$ -curvature in Riemannian and spin geometry.

Hijazi, Oussama, Raulot, Simon (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Calcul du spectre de certaines nilvariétés compactes de dimension 3

Yves Colin de Verdière (1983/1984)

Séminaire de théorie spectrale et géométrie

Certain sufficient conditions to be a complex projective space

Takashi Kameda, Seiichi Yamaguchi (1985)

Colloquium Mathematicae

Characteristic properties of distributions associated with the wave group

Dimitri G. Vassiliev (1992)

Journées équations aux dérivées partielles

Cheeger inequalities for unbounded graph Laplacians

Frank Bauer, Matthias Keller, Radosław K. Wojciechowski (2015)

Journal of the European Mathematical Society

We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of the spectrum which is nontrivial even if the vertex degrees are unbounded.

Compact Six-Dimensional Kähler Spin Manifolds of Positive Scalar Curvature with the Smallest Possible First Eigenvalue of the Dirac Operator.

K.-D. Kirchberg (1988)

Mathematische Annalen

Compactness and finiteness theorems for isospectral manifolds.

R. Brooks, P. Petersen, P. Perry (1992)

Journal für die reine und angewandte Mathematik

Currently displaying 41 – 60 of 433

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Displaying 41 – 60 of 433

Billiards and boundary traces of eigenfunctions

Bohm Aharonov effects for bounded states in the case of systems

Borne explicite du nombre de tores plats isopectraux à un tore donné.

Bornes universelles pour des invariants géométriques

Bounded domains which are isospectral but not congruent

Branson's $Q$ -curvature in Riemannian and spin geometry.

Calcul du spectre de certaines nilvariétés compactes de dimension 3

Certain sufficient conditions to be a complex projective space

Characteristic properties of distributions associated with the wave group

Cheeger inequalities for unbounded graph Laplacians

Cheeger's inequality with a boundary term.

Circular symmetry and the trace formula.

Closed geodesics and flat tori in spectral theory on symmetric spaces

Clustering Theorms with Twisted Spectra.

Cohomological Einstein Kaehler Manifolds Characterized by the Spectrum.

Collapsing of Riemannian manifolds and eigenvalues of La-place operator.

Comment distribuer des points uniformément sur une sphère ? (D'après Lubotzky, Phillips et Sarnak)

Compact Kaehler manifolds and the eigenvalues of the Laplacian

Compact Six-Dimensional Kähler Spin Manifolds of Positive Scalar Curvature with the Smallest Possible First Eigenvalue of the Dirac Operator.

Compactness and finiteness theorems for isospectral manifolds.

Currently displaying 41 – 60 of 433