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Autor:
Sewell, Benedict
We prove a packing exponent formula for the upper box-counting dimension of attractors of certain projective iterated function systems. This partially affirms a conjecture of De Leo, and gives that the box-counting dimension of the Rauzy gasket $\mat
Externí odkaz:
http://arxiv.org/abs/2306.03047
Autor:
Jo, Min Jun
We provide an improved upper bound on the box-counting dimension of the set of potential singular points in suitable weak solutions to the $\alpha$-fractional Navier-Stokes equations for the hyperdissipation case $1<\alpha<\frac{5}{4}$.
Externí odkaz:
http://arxiv.org/abs/2211.15274
Autor:
Allaart, Pieter, Jones, Taylor
Publikováno v:
J. Math. Anal. Appl. 521 (2022), no. 2, Article 126909
We consider a class of "box-like" statistically self-affine functions, and compute the almost-sure box-counting dimension of their graphs. Furthermore, we consider the differentiability of our functions, and prove that, depending on an explicitly com
Externí odkaz:
http://arxiv.org/abs/2208.00035
Autor:
Lim, Michael1 (AUTHOR), Kartiwa, Alit1 (AUTHOR), Napitupulu, Herlina1 (AUTHOR) herlina@unpad.ac.id
Publikováno v:
Mathematics (2227-7390). Jan2023, Vol. 11 Issue 2, p384. 12p.
We investigate the box-counting dimension of the image of a set $E \subset \mathbb{R}$ under a random multiplicative cascade function $f$. The corresponding result for Hausdorff dimension was established by Benjamini and Schramm in the context of ran
Externí odkaz:
http://arxiv.org/abs/2203.15315
Autor:
Allaart, Pieter, Jones, Taylor
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2023 521(2)
Autor:
Falconer, Kenneth J.1 (AUTHOR), Troscheit, Sascha2 (AUTHOR) sascha@troscheit.eu
Publikováno v:
Communications in Mathematical Physics. Apr2023, Vol. 399 Issue 1, p57-83. 27p.
Autor:
Ri, Mi-Kyong, Yun, Chol-Hui
In this paper, we study errors on perturbation of function contractivity factors and box-counting dimension of hidden variable recurrent fractal interpolation function (HVRFIF). The HVRFIF is a hidden variable fractal interpolation function (HVFIF) c
Externí odkaz:
http://arxiv.org/abs/1906.01355
Autor:
Yun, Chol-Hui, Ri, Mi-Kyong
We estimate the bounds of box-counting dimension of hidden variable fractal interpolation functions (HVFIFs) and hidden variable bivariate fractal interpolation functions (HVBFIFs) with four function contractivity factors and present analytic propert
Externí odkaz:
http://arxiv.org/abs/1904.10617