Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Huo-Jun Ruan"'
Publikováno v:
Science China Mathematics. 66:907-934
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53d50abd411dd2757d1b738655b5f032
https://doi.org/10.1007/s11425-021-1989-3
https://doi.org/10.1007/s11425-021-1989-3
Publikováno v:
Nonlinearity. 35:4043-4063
In this paper, we study the topological properties and the gap sequences of Bedford–McMullen sets. First, we introduce a topological condition, the component separation condition (CSC), and a geometric condition, the exponential rate condition (ERC
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd8d777993e36d3299083b03bcfb64da
https://doi.org/10.1088/1361-6544/ac7703
https://doi.org/10.1088/1361-6544/ac7703
Autor:
Lai Jiang, Huo-Jun Ruan
Publikováno v:
Journal of Fractal Geometry; 2023, Vol. 10 Issue 3/4, p279-302, 24p
Autor:
Zhen Liang, Huo-Jun Ruan
Publikováno v:
Journal of Fractal Geometry. 8:261-288
In this paper, we present a general framework to construct recurrent fractal interpolation surfaces (RFISs) on rectangular grids. Then we introduce bilinear RFISs, which are easy to be generated while there are no restrictions on interpolation points
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74bd9637aefb6cbb048b28b5bd3a61e3
https://doi.org/10.4171/jfg/105
https://doi.org/10.4171/jfg/105
Autor:
Jian-Ci Xiao, Huo-Jun Ruan
Publikováno v:
Fractals. 29
In this paper, we provide a complete characterization on when the Hausdorff and topological Hausdorff dimension of a given Bedford–McMullen carpet coincide. These two dimensions have a common value if and only if the carpet is either the Cartesian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6429e6177572202eb37bc246cccb2517
https://doi.org/10.1142/s0218348x21501942
https://doi.org/10.1142/s0218348x21501942
Publikováno v:
Annales Fennici Mathematici; 2023, Vol. 48 Issue 1, p229-254, 26p
Autor:
Huo-Jun Ruan, Zhen Liang
Publikováno v:
Journal of Mathematical Analysis and Applications. 472:1475-1486
We discuss gap sequences of a class of fractal squares, which have nontrivial connected components at most in one direction.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d7983c9ce706279767cd2e64ef28ae7
https://doi.org/10.1016/j.jmaa.2018.12.003
https://doi.org/10.1016/j.jmaa.2018.12.003
Publikováno v:
Bulletin of the Australian Mathematical Society. 98:113-121
Bilinear fractal interpolation surfaces were introduced by Ruan and Xu in 2015. In this paper, we present the formula for their box dimension under certain constraint conditions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b2a8faa08c66a8b71c6bb342883e321
https://doi.org/10.1017/s0004972718000321
https://doi.org/10.1017/s0004972718000321
Publikováno v:
Mathematika. 64:730-741
In the paper, we provide an effective method for the Lipschitz equivalence of two-branch Cantor sets and three-branch Cantor sets by studying the irreducibility of polynomials. We also find that any two Cantor sets are Lipschitz equivalent if and onl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7e29daa2070a10def13c015a308ad94
https://doi.org/10.1112/s0025579318000232
https://doi.org/10.1112/s0025579318000232
Autor:
Yang Wang, Huo-Jun Ruan
Publikováno v:
Journal of Mathematical Analysis and Applications. 451:327-344
Fractal sets typically have very complex geometric structures, and a fundamental problem in fractal geometry is to characterize how “similar” different fractal sets are. The Lipschitz equivalence of fractal sets is often used to classify fractal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd78d3927674f064d8fa1c3943928902
https://doi.org/10.1016/j.jmaa.2017.02.012
https://doi.org/10.1016/j.jmaa.2017.02.012