Can One Hear the Shape of a Fractal Drum? Partial Resolution of the Weyl-Berry Conjecture

1991/01/01 by Michel L. Lapidus · 2 citations
Materials Science · Mathematics · #Boundary (topology) #Conjecture #Fractal #Fractal dimension #Hausdorff dimension #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quasicrystal Structures and Properties #Spectral Theory in Mathematical Physics #Theoretical physics

paper · doi:10.1007/978-1-4613-9711-3_13

crossref issued 1991/01/01 · crossref published 1991/01/01 · crossref published-print 1991/01/01 · openalex publication_date 1991/01/01 · crossref created 2011/11/28 · crossref deposited 2021/05/01 · crossref indexed 2024/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Citations

• The Beauty of Fractals
• Geometry of the Laplace Operator
• The spectral function of an elliptic operator
• Can One Hear the Shape of a Drum?
• The Fractal Geometry of Nature
• Can One Hear the Shape of a Drum?

Cited by

• The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums
• Hearing the shape of a drum [wikipedia]