Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Alexander S. Balankin"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 11, p 655 (2024)
We realize that a Sierpiński arrowhead curve (SAC) fills a Sierpiński gasket (SG) in the same manner as a Peano curve fills a square. Namely, in the limit of an infinite number of iterations, the fractal SAC remains self-avoiding, such that SAC⊂S
Externí odkaz:
https://doaj.org/article/b4225dc1bf304c158054523c1c387903
Autor:
Miguel Patiño-Ortiz, Julián Patiño-Ortiz, Miguel Ángel Martínez-Cruz, Fernando René Esquivel-Patiño, Alexander S. Balankin
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 440 (2024)
The aim of this review paper is to survey the fractal morphology of scale-invariant patterns. We are particularly focusing on the scale and conformal invariance, as well as on the fractal non-uniformity (multifractality), inhomogeneity (lacunarity),
Externí odkaz:
https://doaj.org/article/1a15de6e85e04c50b6730e330410ac0b
Publikováno v:
Fractal and Fractional, Vol 7, Iss 8, p 597 (2023)
The key issues in fractal geometry concern scale invariance (self-similarity or self-affinity) and the notion of a fractal dimension D which exceeds the topological dimension d. In this regard, we point out that the constitutive inequality D>d can ha
Externí odkaz:
https://doaj.org/article/b0cd021ee726407aa807559e2bc7e420
Publikováno v:
Fractal and Fractional, Vol 7, Iss 7, p 509 (2023)
This work is devoted to the modeling of fracture networks. The main attention is focused on the fractal features of the fracture systems in geological formations and reservoirs. Two new kinds of fracture network models are introduced. The first is ba
Externí odkaz:
https://doaj.org/article/b0fda562329140bbbc04b91fb3072403
Autor:
Alexander S. Balankin, Miguel Ángel Martínez Cruz, Felipe Gayosso Martínez, Claudia L. Martínez-González, Leobardo Morales Ruiz, Julián Patiño Ortiz
Publikováno v:
Entropy, Vol 17, Iss 5, Pp 3160-3171 (2015)
Spin dynamics on networks allows us to understand how a global consensus emerges out of individual opinions. Here, we are interested in the effect of heterogeneity in the initial geographic distribution of a competing opinion on the competitiveness o
Externí odkaz:
https://doaj.org/article/dd9811991ff1458b8375e74a0b6172c8
Publikováno v:
Modern Physics Letters B. 37
In this work, we study the effects of geometric confinement on the point statistics in a quasi-low-dimensional system. Specifically, we focus on the nearest-neighbor statistics. Accordingly, we have performed comprehensive numerical simulations of bi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9e226c68880d4dbd4df77d93125b631
https://doi.org/10.1142/s0217984922502207
https://doi.org/10.1142/s0217984922502207
Autor:
Alexander S. Balankin, Baltasar Mena
Publikováno v:
Chaos, Solitons & Fractals. 168:113203
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6bd32804a852196833e172b56039388
https://doi.org/10.1016/j.chaos.2023.113203
https://doi.org/10.1016/j.chaos.2023.113203
Publikováno v:
Fractals. 30
The main goal of this work is to develop a robust framework for an exhaustive description of essential properties of a fractal object. For this purpose, the inherent features of fractal sets are scrutinized. The topological, metrological, morphologic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f26c3cf0a05bc45c6da4607c766ad16d
https://doi.org/10.1142/s0218348x22500827
https://doi.org/10.1142/s0218348x22500827
Publikováno v:
Modern Physics Letters B. 36
In this work, we study the effects of geometric confinement on random walks and diffusion processes in systems of reduced dimensionality. Extensive Monte Carlo simulations of Gaussian random walks were performed on rectangular strips of infinite leng
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51b9b357383be8688d57b5a61946e16e
https://doi.org/10.1142/s0217984922500415
https://doi.org/10.1142/s0217984922500415
Publikováno v:
Adaptive Behavior. 29:333-347
This article explores the opinion dynamics of a double coalition opinion against a third opinion under majority rule updates on odd fixed size connected groups. For this purpose, coalition benefit criteria and three opinion formation models which ext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1275b65fd15cd658ed4ca171184497e2
https://doi.org/10.1177/1059712319895486
https://doi.org/10.1177/1059712319895486