Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Vasileios Chousionis"'
Publikováno v:
Journal d'Analyse Mathématique. 146:299-326
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7c2b84b5605718ecf5e534ad27e79be
https://doi.org/10.1007/s11854-021-0194-z
https://doi.org/10.1007/s11854-021-0194-z
Publikováno v:
Transactions of the American Mathematical Society. 373:1009-1042
In this paper we study the dimension spectrum of continued fractions with coefficients restricted to infinite subsets of natural numbers. We prove that if E E is any arithmetic progression, the set of primes, or the set of squares { n 2 } n ∈ N \{n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b1b9012d020f9412aa1f6877c7c6bdd
https://doi.org/10.1090/tran/7984
https://doi.org/10.1090/tran/7984
We show that the β-numbers of intrinsic Lipschitz graphs of Heisenberg groups ℍ n {\mathbb{H}_{n}} are locally Carleson integrable when n ≥ 2 {n\geq 2} . Our main bound uses a novel slicing argument to decompose intrinsic Lipschitz graphs into g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36e3eb1a816c74803d88db7f50ab14ae
Autor:
Mariusz Urbański, Vasileios Chousionis
In this paper we study various aspects of porosities for conformal fractals. We first explore porosity in the general context of infinite graph directed Markov systems (GDMS), and we show that their limit sets are porous in large (in the sense of cat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::039d536aa59a24fd917c7e495cb1ed60
http://arxiv.org/abs/1909.06315
http://arxiv.org/abs/1909.06315
Publikováno v:
Selecta Mathematica. 25
In this paper we study the dimension spectrum of general conformal graph directed Markov systems modeled by countable state symbolic subshifts of finite type. We perform a comprehensive study of the dimension spectrum addressing questions regarding i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::804b332cb7a90a76c7064c1ab1a72983
https://doi.org/10.1007/s00029-019-0487-6
https://doi.org/10.1007/s00029-019-0487-6
The Heisenberg group $\mathbb{H}$ equipped with a sub-Riemannian metric is one of the most well known examples of a doubling metric space which does not admit a bi-Lipschitz embedding into any Euclidean space. In this paper we investigate which \text
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::855529e229b4bda4666cdca9034ab778
http://arxiv.org/abs/1812.07612
http://arxiv.org/abs/1812.07612
The authors develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, they develop the thermodynamic formalism and show that, under n
Let $${\mathbb {G}}$$ be any Carnot group. We prove that, if a subset of $${\mathbb {G}}$$ is contained in a rectifiable curve, then it satisfies Peter Jones’ geometric lemma with some natural modifications. We thus prove one direction of the Trave
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3f2c96ed33806a280810f492d218298
http://arxiv.org/abs/1804.05646
http://arxiv.org/abs/1804.05646
Publikováno v:
Transactions of the American Mathematical Society. 368:6063-6102
Speakers: 1. Vasilis Chousionis (University of Helsinki, Finland) Square functions and uniform rectifiability 2. Leonardo Colzani (Universita degli Studi di Milano, Italy) Localization and convergence of Fourier series and integrals 3. Javier Duoandi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fd78101ea325301da778148b879b3bb
https://doi.org/10.1090/tran/6557
https://doi.org/10.1090/tran/6557
Publikováno v:
International Mathematics Research Notices. 2016:2295-2319
In this paper it is shown that for any measure μ in R and for a non-integer 0 < s < d, the Wolff energy ∫∫ ∞ 0 ( μ(B(x, r)) rs )2 dr r dμ(x) is comparable to ∫∫ ∞ 0 ( μ(B(x, r)) rs − μ(B(x, 2r)) (2r)s )2 dr r dμ(x), unlike in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::196b17ee16cd326e0acf621ec1fb5d4e
https://doi.org/10.1093/imrn/rnv202
https://doi.org/10.1093/imrn/rnv202