Generalisation of the modified Weyl-Berry conjecture for drums with jagged boundaries

DOI10.1016/j.physleta.2003.09.032zbMath1098.70532OpenAlexW2059777363WikidataQ114013422 ScholiaQ114013422MaRDI QIDQ1411842

Steven Homolya

Publication date: 2 November 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.09.032

zbMATH Keywords

densities of statefractal resonatorstwo-term Weyl asymptotics

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Cites Work

• Can one hear the dimension of a fractal?
• Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• Heat Equation on the Triadic Von Koch Snowflake: Asymptotic and Numerical Analysis
• Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals
• Counterexamples to the modified Weyl–Berry conjecture on fractal drums
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