Results 31 to 40 of about 1,003,949 (307)
Hyperbolic graphs: Critical regularity and box dimension
Transactions of the American Mathematical Society, 2019 We study fractal properties of invariant graphs of hyperbolic and partially hyperbolic skew product diffeomorphisms in dimension three. We describe the critical (either Lipschitz or at all scales H lder continuous) regularity of such graphs. We provide a formula for their box dimension given in terms of appropriate pressure functions.
Díaz, Lorenzo Justiniano +3 more
openaire +3 more sources
The Discrepancy of Boxes in Higher Dimension [PDF]
Discrete & Computational Geometry, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chazelle, B., Lvov, A.
openaire +1 more source
Box dimensions of (\timesm,\timesn)-invariant sets
Indiana University Mathematics Journal, 2023 We study the box dimensions of sets invariant under the toral endomorphism $(x, y) \mapsto (m x \text{ mod } 1, \, n y \text{ mod } 1)$ for integers $n>m \geq 2$. The basic examples of such sets are Bedford-McMullen carpets and, more generally, invariant sets are modelled by subshifts on the associated symbolic space.
Fraser, Jonathan, Jurga, Natalia
openaire +2 more sources
Inhomogeneous self-similar sets and box dimensions
, 2012 We investigate the box dimensions of inhomogeneous self-similar sets. Firstly, we extend some results of Olsen and Snigireva by computing the upper box dimensions assuming some mild separation conditions.
Fraser, Jonathan M.
core +1 more source
Remote Sensing, 2020 The Pearl River Estuary Area was selected for this study. For the past 40 years, it has been one of the most complex coasts in China, yet few studies have analyzed the complexity and variations of the area’s different coastlines.
Xinyi Hu, Yunpeng Wang
doaj +1 more source
Fractal Analysis of Overlapping Box Covering Algorithm for Complex Networks
IEEE Access, 2020 Due to extensive research on complex networks, fractal analysis with scale invariance is applied to measure the topological structure and self-similarity of complex networks. Fractal dimension can be used to quantify the fractal properties of the complex
Wei Zheng +4 more
doaj +1 more source
, 2017 Two decades ago, Wang and Ong [Phys. Rev. A 55, 1522 (1997)] hypothesized that the local box-counting dimension of a discrete quantum spectrum should depend exclusively on the nearest-neighbor spacing distribution (NNSD) of the spectrum.
Nieminen, John M., Sakhr, Jamal
core +1 more source
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
wiley +1 more source
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions
Fractal and FractionalThe Weierstrass function W(x)=∑n=1∞ancos(2πbnx) is a function that is continuous everywhere and differentiable nowhere. There are many investigations on fractal dimensions of the Weierstrass function, and the investigation of its Hausdorff dimension is ...
Yue Qiu, Yongshun Liang
doaj +1 more source
Fractal analysis of sound signals in SAMPO 3065 combine harvester [PDF]
Journal of Agricultural Machinery, 2017 Introduction Nowadays, many studies were performed about noise source and its type and effects related to duration of sound emission. Most of these researches just report sound pressure level in frequency or time domain.
F Mahdiyeh Broujeni, A Maleki
doaj +1 more source