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On spectral asymptotics for domains with fractal boundaries
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01086550openalex-snapshot
Second term of the spectral asymptotic expansion of the Laplace - Beltrami operator on manifolds with boundary
inferredcites →https://doi.org/10.1007/bf01210795openalex-snapshot
Can one hear the dimension of a fractal?
inferredcites →https://doi.org/10.1007/bf02101845openalex-snapshot
Fractal drums and then-dimensional modified Weyl-Berry conjecture
inferredcites →https://doi.org/10.1007/bfb0072206openalex-snapshot
The asymptotics for second-order operators
inferredcites →https://doi.org/10.1016/0001-8708(78)90013-0openalex-snapshot
A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of R3
inferredcites →https://doi.org/10.1016/0022-1236(92)90063-oopenalex-snapshot
Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps
inferredcites →https://doi.org/10.1016/s0076-5392(08)63379-2openalex-snapshot
Spectral and Fractal Geometry: From the Weyl-Berry Conjecture for the Vibrations of Fractal Drums to the Riemann Zeta-Function
inferredcites →https://doi.org/10.1017/s0305004100074053openalex-snapshot
Counterexamples to the modified Weyl–Berry conjecture on fractal drums
inferredcites →https://doi.org/10.1070/rm1975v030n01abeh001400openalex-snapshot
DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
inferredcites →https://doi.org/10.1080/00029890.1966.11970915openalex-snapshot
Can One Hear the Shape of a Drum?
inferredcites →https://doi.org/10.1090/pspum/036/573427openalex-snapshot
Some geometric aspects of wave motion: wavefront dislocations, diffraction catastrophes, diffractals
inferredcites →https://doi.org/10.1090/s0002-9939-1992-1076578-xopenalex-snapshot
The Neumann Laplacian of a Jelly Roll
inferredcites →https://doi.org/10.1090/s0002-9947-1991-0994168-5openalex-snapshot
Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
inferredcites →https://doi.org/10.1090/s0002-9947-1993-1176086-7openalex-snapshot
An Example of a Two-Term Asymptotics for the "Counting Function" of a Fractal Drum
inferredcites →https://doi.org/10.1112/plms/s3-72.1.188openalex-snapshot
Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals
inferredcites →https://doi.org/10.4310/jdg/1214427880openalex-snapshot
Curvature and the eigenvalues of the Laplacian
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1006/jfan.2001.3845openalex-snapshot
Area versus Capacity and Independence in the Crushed Ice Model
inferred← citeshttps://doi.org/10.1007/978-3-319-22240-0_14openalex-snapshot
The Sound of Fractal Strings and the Riemann Hypothesis
inferred← citeshttps://doi.org/10.1007/978-3-319-44706-3_4openalex-snapshot
Relative Fractal Drums and Their Complex Dimensions
inferred← citeshttps://doi.org/10.1007/978-3-319-44706-3_6openalex-snapshot
Classification of Fractal Sets and Concluding Comments
inferred← citeshttps://doi.org/10.1007/s00440-003-0332-9openalex-snapshot
Area versus capacity and solidification in the crushed ice model
inferred← citeshttps://doi.org/10.1007/s11784-014-0207-yopenalex-snapshot
Fractal zeta functions and complex dimensions of relative fractal drums
inferred← citeshttps://doi.org/10.1016/j.apm.2021.01.041openalex-snapshot
On the existence of optimal shapes in architecture
inferred← citeshttps://doi.org/10.1016/s0920-5632(01)01610-3openalex-snapshot
Heat content asymptotics
inferred← citeshttps://doi.org/10.1023/a:1009761805247openalex-snapshot
On Spectral Asymptotics for Domains with Fractal Boundaries of Cabbage Type
inferred← citeshttps://doi.org/10.1088/0951-7715/18/1/015openalex-snapshot
Weyl's law and quantum ergodicity for maps with divided phase space (with an appendix Converse quantum ergodicity)
inferred← citeshttps://doi.org/10.1090/conm/600/11948openalex-snapshot
Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator
inferred← citeshttps://doi.org/10.1090/conm/731/14677openalex-snapshot
An overview of complex fractal dimensions: from fractal strings to fractal drums, and back
inferred← citeshttps://doi.org/10.1098/rsta.2014.0240openalex-snapshot
Towards quantized number theory: spectral operators and an asymmetric criterion for the Riemann hypothesis
inferred← citeshttps://doi.org/10.4171/rmi/278openalex-snapshot
On nonisometric isospectral connected fractal domains
inferred← citeshttps://doi.org/10.4213/rm10024openalex-snapshot
Станислав Алексеевич Молчанов (к 80-летию со дня рождения)
inferred← citeshttps://doi.org/10.4213/rm9833openalex-snapshot
Борис Руфимович Вайнберг (к восьмидесятилетию со дня рождения)
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