Anzeige
Erschienen in:
1991 | OriginalPaper | Buchkapitel
Can One Hear the Shape of a Fractal Drum? Partial Resolution of the Weyl-Berry Conjecture
verfasst von : Michel L. Lapidus
Erschienen in: Geometric Analysis and Computer Graphics
Verlag: Springer New York
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Several years ago, motivated in part by the challenging problem of studying the scattering of light from “fractal” surfaces, the physicist Michael V. Berry formulated a very intriguing conjecture about the vibrations of “drums with fractal boundary”. Extending to the “fractal” case a long standing conjecture of Hermann Weyl, he conjectured in particular that the high frequencies of such “fractal drums” were governed by the Hausdorff dimension of their boundary [1,2].