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pro vyhledávání: '"Kathryn E Hare"'
Autor:
Kathryn E Hare, Alex Rutar
We study sets of local dimensions for self-similar measures in $\mathbb{R}$ satisfying the finite neighbour condition, which is formally stronger than the weak separation condition but satisfied in all known examples. Under a mild technical assumptio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75d34085f9e54afacdbe17277ff5236c
https://hdl.handle.net/10023/26035
https://hdl.handle.net/10023/26035
Publikováno v:
Journal of Fractal Geometry. 8:201-245
We introduce and study bi-Lipschitz-invariant dimensions that range between the box and Assouad dimensions. The quasi-Assouad dimensions and $\theta$-spectrum are other special examples of these intermediate dimensions. These dimensions are localized
Autor:
Kathryn E. Hare, Sanjiv Kumar Gupta
Publikováno v:
Journal of the Australian Mathematical Society. 113:188-207
Let $G/K$ be an irreducible symmetric space, where G is a noncompact, connected Lie group and K is a compact, connected subgroup. We use decay properties of the spherical functions to show that the convolution product of any $r=r(G/K)$ continuous orb
Publikováno v:
Proceedings of the American Mathematical Society. 149:2121-2131
We provide a necessary and sufficient condition to ensure that a multi-tile $\Omega$ of $R^d$ of positive measure (but not necessarily bounded) admits a structured Riesz basis of exponentials for $ L^{2}(\Omega )$. New examples are given and this cha
Publikováno v:
Journal of Fractal Geometry. 7:233-270
The Assouad and quasi-Assouad dimensions of a metric space provide information about the extreme local geometric nature of the set. The Assouad dimension of a set has a measure theoretic analogue, which is also known as the upper regularity dimension
Autor:
Parasar Mohanty, Kathryn E. Hare
Publikováno v:
Canadian Mathematical Bulletin. 64:1-7
The purpose of this note is to construct an example of a discrete non-abelian group G and a subset E of G, not contained in any abelian subgroup, that is a completely bounded $\Lambda (p)$ set for all $p but is neither a Leinert set nor a weak Sidon
Autor:
Kathryn E. Hare, Franklin Mendivil
Publikováno v:
Journal of Mathematical Analysis and Applications. 508:125912
We prove that an iterated function system of similarities on $\mathbb{R}$ that satisfies the weak separation condition and has an interval as its self-similar set satisfies the stronger generalized finite type condition. It is unknown if the assumpti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc9f2a2bc5aaba3d310386bd1393e9a7
Publikováno v:
Canadian Journal of Mathematics. 70:824-867
Consider a finite sequence of linear contractions Sj(x) = px + dj and probabilities pj > 0 with ∑Pj = 1. We are interested in the self-similar measure , of finite type. In this paper we study the multi-fractal analysis of such measures, extending t
Autor:
Kathryn E. Hare, Jimmy He
Publikováno v:
Bollettino dell'Unione Matematica Italiana. 11:573-580
Let G be a compact, connected simple Lie group and $$\mathfrak {g}$$ its Lie algebra. It is known that if $$\mu $$ is any G-invariant measure supported on an adjoint orbit in $$\mathfrak {g}$$ , then for each integer k, the k-fold convolution product