Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
We study meromorphic extensions of distance and tube zeta functions, as well as of geometric zeta functions of fractal strings. The distance zeta function $\zeta_A(s):=\int_{A_\delta} d(x,A)^{s-N}\mathrm{d}x$, where $\delta>0$ is fixed and $d(x,A ...
Lapidus, Michel L. +2 more
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Pemodelan Dimensi Fraktal Multiskala untuk Mengenali Bentuk Daun [PDF]
Penelitian ini membangun model untuk membedakan bentuk daun menggunakan dimensi fraktal multiskala. Identifikasi tumbuhan obat sangat penting mengingat keanekaragaman hayati di Indonesia dan peran pentingnya di Indonesia.
Buono, A. (Agus) +3 more
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Fractal and Multi-Scale Fractal Dimension analysis: a comparative study of Bouligand-Minkowski method [PDF]
André Ricardo Backes +1 more
openalex +2 more sources
Borobudur was Built Algorithmically [PDF]
The self-similarity of Indonesian Borobudur Temple is observed through the dimensionality of stupa that is hypothetically closely related to whole architectural body.
Situngkir, Hokky
core
On the Potential of the Excluded Volume and Auto-Correlation as Neuromorphometric Descriptors
This work investigates at what degree two neuromorphometric measurements, namely the autocorrelation and the excluded volume of a neuronal cell can influence the characterization and classification of such a type of cells.
Barbosa +21 more
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Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems [PDF]
A class of two-dimensional linear differential systems is considered. The box-counting dimension of the graphs of solution curves is calculated.
Onitsuka, Masakazu, Tanaka, Satoshi
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We investigate pores in fluid membranes by molecular dynamics simulations of an amphiphile-solvent mixture, using a molecular coarse-grained model. The amphiphilic membranes self-assemble into a lamellar stack of amphiphilic bilayers separated by solvent
Bouligand Y. +17 more
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Regularities and symmetries in atomic structure and spectra
The use of statistical methods for the description of complex quantum systems was primarily motivated by the failure of a line-by-line interpretation of atomic spectra. Such methods reveal regularities and trends in the distributions of levels and lines.
Pain, Jean-Christophe
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Complex Dispersion of Detonation Nanodiamond Revealed by Machine Learning Assisted Cryo-TEM and Coarse-Grained Molecular Dynamics Simulations. [PDF]
Kuschnerus IC +10 more
europepmc +1 more source
Fractality of certain quantum states
We prove the theorem announced in Phys. Rev. Lett. {\bf 85}:5022, 2001 concerning the existence and properties of fractal states for the Schr\"odinger equation in the infinite one-dimensional well.Comment: Latex2e with svjour ...
Wojcik, Daniel, Zyczkowski, Karol
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