$Random fractal strings: their zeta functions, complex dimensions and spectral asymptotics$

Random fractal strings: their zeta functions, complex dimensions and spectral asymptotics

Show other versions (1)

In this paper a string is a sequence of positive non-increasing real numbers which sums to one. For our purposes a fractal string is a string formed from the lengths of removed sub-intervals created by a recursive decomposition of the unit interval. By using the so called complex dimensions of the...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Hambly, B, Lapidus, M
Fformat:	Journal article
Cyhoeddwyd:	2003

Eitemau Tebyg

Random fractal strings: Their zeta functions, complex dimensions and spectral asymptotics
gan: Hambly, B, et al.
Cyhoeddwyd: (2006)

Fractal geometry, complex dimensions and zeta functions : [electronic book] : geometry and spectra of fractal strings /
gan: 185638 Lapidus, Michel L., et al.
Cyhoeddwyd: (2006)

Asymptotics for the spectral and walk dimension as fractals approach Euclidean space
gan: Hambly, B, et al.
Cyhoeddwyd: (2002)

Finitely ramified graph-directed fractals, spectral asymptotics and the multidimensional renewal theorem
gan: Hambly, B, et al.
Cyhoeddwyd: (2003)

Heat kernels and spectral asymptotics for some random Sierpinski gaskets
gan: Hambly, B
Cyhoeddwyd: (2000)

On the asymptotics of the eigenvalue counting function for random recursive Sierpinski gaskets
gan: Hambly, B
Cyhoeddwyd: (2000)

Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals
gan: Hambly, B, et al.
Cyhoeddwyd: (1998)

Spectral asymptotics for V-variable Sierpinski gaskets
gan: Freiberg, U, et al.
Cyhoeddwyd: (2017)

Dimension results and local times for superdiffusions on fractals
gan: Hambly, BM, et al.
Cyhoeddwyd: (2023)

BROWNIAN-MOTION ON A HOMOGENEOUS RANDOM FRACTAL
gan: Hambly, B
Cyhoeddwyd: (1992)

Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function
gan: Rahm Rob
Cyhoeddwyd: (2023-02-01)

Quasiperiodic Patterns of the Complex Dimensions of Nonlattice Self-Similar Strings, via the LLL Algorithm
gan: Michel L. Lapidus, et al.
Cyhoeddwyd: (2021-03-01)

Thick and thin points for random recursive fractals
gan: Hambly, B, et al.
Cyhoeddwyd: (2003)

Multifractal formalisms for the local spectral and walk dimensions
gan: Hambly, B, et al.
Cyhoeddwyd: (2002)

Asymptotics for Functions Associated with Heat Flow on the Sierpinski Carpet
gan: Hambly, B
Cyhoeddwyd: (2011)

A Multi-Spectral Fractal Image Model and Its Associated Fractal Dimension Estimator
gan: Mihai Ivanovici
Cyhoeddwyd: (2023-03-01)

Series with Binomial-like Coefficients for the Investigation of Fractal Structures Associated with the Riemann Zeta Function
gan: Igoris Belovas, et al.
Cyhoeddwyd: (2022-05-01)

Central limit theorems for the spectra of classes of random fractals
gan: Charmoy, P, et al.
Cyhoeddwyd: (2017)

Fractal dimension complexity of gravitation fractals in central place theory
gan: Michał Banaszak, et al.
Cyhoeddwyd: (2023-02-01)

Effects of Spatial and Spectral Resolutions on Fractal Dimensions in Forested Landscapes
gan: Dale Quattrochi, et al.
Cyhoeddwyd: (2010-02-01)

Fractal Dimension versus Process Complexity
gan: Joost J. Joosten, et al.
Cyhoeddwyd: (2016-01-01)

Fractal Dimension of Fractal Functions on the Real Projective Plane
gan: Alamgir Hossain, et al.
Cyhoeddwyd: (2023-06-01)

Asymptotic symmetries from the string worldsheet
gan: Zhengyuan Du, et al.
Cyhoeddwyd: (2024-08-01)

On asymptotic dark energy in string theory
gan: Sera Cremonini, et al.
Cyhoeddwyd: (2023-09-01)

Horizon fractalization in black strings ungravity
gan: Í. D. D. Carvalho, et al.
Cyhoeddwyd: (2023-03-01)

A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function
gan: Daeyeoul Kim, et al.
Cyhoeddwyd: (2021-01-01)

On the value-distribution of Matsumoto zeta-function on the complex plane
gan: Roma Kačinskaitė
Cyhoeddwyd: (2000-12-01)

Root Asymptotics of Spectral Polynomials
gan: B. Shapiro, et al.
Cyhoeddwyd: (2007-01-01)

Riemann's zeta function /
gan: 393488 Edwards, Harold M.
Cyhoeddwyd: (1974)

Analyzing fractal dimension in electroconvulsive therapy: Unraveling complexity in structural and functional neuroimaging
gan: Niklaus Denier, et al.
Cyhoeddwyd: (2024-08-01)

Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries,
gan: Hambly, B, et al.
Cyhoeddwyd: (2003)

Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometrics
gan: Hambly, B, et al.
Cyhoeddwyd: (2004)

On the asymptotic density of states in solvable models of strings
gan: Tommaso Canneti
Cyhoeddwyd: (2024-12-01)

Asymptotic accelerated expansion in string theory and the Swampland
gan: José Calderón-Infante, et al.
Cyhoeddwyd: (2023-06-01)

The asymptotic Weak Gravity Conjecture for open strings
gan: Cesar Fierro Cota, et al.
Cyhoeddwyd: (2022-11-01)

Asymptotic scalar field cosmology in string theory
gan: Tom Rudelius
Cyhoeddwyd: (2022-10-01)

Asymptotic symmetries of three-dimensional black strings
gan: Stéphane Detournay, et al.
Cyhoeddwyd: (2019-06-01)

On the spectral dimension of random trees
gan: Bergfinnur Durhuus, et al.
Cyhoeddwyd: (2006-01-01)

Asymptotic Behavior of the Edge Metric Dimension of the Random Graph
gan: Zubrilina Nina
Cyhoeddwyd: (2021-05-01)

Asymptotic formulae in spectral geometry /
gan: 196152 Gilkey, Peter B.
Cyhoeddwyd: (2004)