Results 11 to 20 of about 78 (70)
Entropies and Degree-Based Topological Indices of Generalized Sierpiński Graphs
Fractal and FractionalFractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon ...
Si-Ao Xu, Jia-Dong Si, Jia-Bao Liu
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The Lq$L^q$ spectrum of self‐affine measures on sponges
Journal of the London Mathematical Society, Volume 108, Issue 2, Page 666-701, August 2023., 2023 Abstract In this paper, a sponge in Rd$\mathbb {R}^d$ is the attractor of an iterated function system consisting of finitely many strictly contracting affine maps whose linear part is a diagonal matrix. A suitable separation condition is introduced under which a variational formula is proved for the Lq$L^q$ spectrum of any self‐affine measure defined ...
István Kolossváry
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From Fluid Flow to Coupled Processes in Fractured Rock: Recent Advances and New Frontiers
Reviews of Geophysics, Volume 60, Issue 1, March 2022., 2022 Abstract Quantitative predictions of natural and induced phenomena in fractured rock is one of the great challenges in the Earth and Energy Sciences with far‐reaching economic and environmental impacts. Fractures occupy a very small volume of a subsurface formation but often dominate fluid flow, solute transport and mechanical deformation behavior ...
H. S. Viswanathan +10 more
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Some New Upper Bounds for the Y‐Index of Graphs
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y‐index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph.
Durbar Maji +3 more
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Graph‐like spaces approximated by discrete graphs and applications
Mathematische Nachrichten, Volume 294, Issue 11, Page 2237-2278, November 2021., 2021 Abstract We define a distance between energy forms on a graph‐like metric measure space and on a suitable discrete weighted graph using the concept of quasi‐unitary equivalence. We apply this result to metric graphs, graph‐like manifolds (e.g. a small neighbourhood of an embedded metric graph) or pcf self‐similar fractals as metric measure spaces with ...
Olaf Post, Jan Simmer
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Systems Research and Behavioral Science, Volume 38, Issue 6, Page 923-939, November/December 2021., 2021 We elaborate Alfred Schutz's theory of musical communication empirically. Our technique for analysing musical communication aligns Schutz's sociological theory with the mathematics of anticipatory systems. Music, we argue, can be considered as an anticipatory system that articulates through its diachronic unfolding, fundamental symmetries which can be ...
Mark William Johnson, Loet Leydesdorff
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The Sierpiński product of graphs
, 2023 In this paper we introduce a product-like operation that generalizes the construction of the generalized Sierpiński graphs. Let ▫$G, , H$▫ be graphs and let ▫$f: V(G) to V(H)$▫ be a function.
Žitnik, Arjana +3 more
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Degree sequence of the generalized Sierpiński graph
, 2020 Sierpiński graphs are studied in fractal theory and have applications in diverse areas including dynamic systems, chemistry, psychology, probability, and computer science.
Attarzadeh, Fatemeh +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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Kuramoto Model on Sierpinski Gasket I: Harmonic Maps
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
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