Results 51 to 60 of about 135,586 (280)

Martin boundary theory on inhomogeneous fractals

Asian Journal of Mathematics, 2023
We want to consider fractals generated by a probabilistic iterated function scheme with open set condition and we want to interpret the probabilities as weights for every part of the fractal. In the homogenous case, where the weights are not taken into account, Denker and Sato introduced in 2001 a Markov chain on the word space and proved, that the ...
Freiberg, Uta, Kohl, Stefan
openaire   +2 more sources

Temporal and Cell‐Specific Regulation of Synaptic Homeostasis by the Chromatin Remodeler Chd1

Advanced Science, EarlyView.
Chd1, the Drosophila homologue of mammalian CHD2 ‐ a gene linked to autism, epilepsy, and intellectual disability, is required for synaptic homeostatic plasticity. Chd1 in glia is necessary for the rapid induction of synaptic homeostasis, whereas Chd1 in motoneurons, muscle, and glia is critical for long‐term maintenance.
Danielle T. Morency, Tao Cui, Yimei Cai, Chloe Lok, Rachel E. Nokku, Ruoxian Huang, Grace L. Chu, Yumeng Xie, Saleem W. Abu‐Tayeh, Kaikai He, Chengjie Qiu, Junyi Wang, Paxton M. Paganelli, Ting Wang, Gabrielle Williams, Sreejith Nair, Huadong Pei, Dion K. Dickman, Stefano Vicini, Tingting Wang   +19 more
wiley   +1 more source

Fracture Surface Fractal Characteristics of Alkali-Slag Concrete under Freeze-Thaw Cycles

Advances in Materials Science and Engineering, 2017
Fractal theory is introduced in fracture surface research of alkali-slag concrete (ASC) under freeze-thaw cycles; crack distribution of ASC fracture surface and freeze-thaw damage zone were calculated.
Wantong Cai, Guoping Cen, Haifu Wang
doaj   +1 more source

Sampling Theory for Functions with Fractal Spectrum [PDF]

Experimental Mathematics, 2001
We investigate in greater detail a sampling formula given by the first author for functions whose spectrum lies in a Cantor set $K$ of a special type introduced by Jorgensen and Pedersen, where the sampling set is extremely thin, and the sampling function is quite different from the usual sinc function. We obtain new properties of the sampling function,
Huang, Nina N., Strichartz, Robert S.
openaire   +2 more sources

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source

Fractal Analysis on Surface Topography of Thin Films: A Review

Fractal and Fractional, 2022
The topographies of various surfaces have been studied in many fields due to the significant influence that surfaces have on the practical performance of a given sample.
Wenmeng Zhou, Yating Cao, Haolin Zhao, Zhiwei Li, Pingfa Feng, Feng Feng   +5 more
doaj   +1 more source

Functional Disorder at the Neural Interface: How Disordered Nanostructures Promote Proper Growth and Differentiation in In Vitro Neural Cultures

Advanced Science, EarlyView.
This work provides a practical guide for neuroengineers to design advanced neural interfaces, embracing and tailoring the concept of functional disorder. By bridging 2D and 3D in vitro models, this work highlights how non‐periodic, spatially heterogeneous, multiscale nanotopography can enable more physiologically relevant platforms for studying neural ...
F. Maita, E. Palmieri, I. Lucarini, L. Montaina, L. Maiolo   +4 more
wiley   +1 more source

Fractal Sturm–Liouville Theory

Fractal and Fractional
This paper provides a short summary of fractal calculus and its application to generalized Sturm–Liouville theory. It presents both the fractal homogeneous and non-homogeneous Sturm–Liouville problems and explores the theory’s applications in optics.
Alireza Khalili Golmankhaneh, Zoran Vidović, Hüseyin Tuna, Bilender P. Allahverdiev   +3 more
doaj   +1 more source

Field theory of self-organized fractal etching

, 2001
We propose a phenomenological field theoretical approach to the chemical etching of a disordered-solid. The theory is based on a recently proposed dynamical etching model.
Gabrielli, Andrea, Munoz, Miguel A., Sapoval, Bernard   +2 more
core   +1 more source

Scalar quantum field theory on fractals [PDF]

Annals of Physics, 2012
We construct a family of measures for random fields based on the iterated subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into a finite number of similar shapes. The intent is to construct continuum limits of scale invariant scalar field theories, by imitating Wiener's construction of the measure on the space of functions of ...
Kar, Arnab, Rajeev, S. G.
openaire   +3 more sources