Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Daviaud, Edouard"'
Autor:
Allen, Demi, Daviaud, Edouard
In this article we survey some recent extensions and generalisations of the celebrated Mass Transference Principle (Beresnevich and Velani, Annals of Mathematics, 2006).
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2306.15535
Autor:
Daviaud, Edouard
In this article, we study the Hausdor dimension of weakly conformal IFS's shrinking targets with possible overlaps, provided the conformality dimension of the systems and the dimension of the attractor are equal. Those results extends the works of Hi
Externí odkaz:
http://arxiv.org/abs/2207.08458
Autor:
Daviaud, Édouard
In this article, we prove that from any sequence of balls whose associated limsup set has full $\mu$-measure, one can extract a well-distributed subsequence of balls. From this, we deduce the optimality of various lower bounds for the Hausdorff dimen
Externí odkaz:
http://arxiv.org/abs/2204.01304
Autor:
Daviaud, Edouard
In this article, one investigates in a very general frame mass transference principles from ball to arbitrary open sets when the sequence of balls is distributed according to a finite measure. As an application of the main theorem, a mass transferenc
Externí odkaz:
http://arxiv.org/abs/2204.01302
Autor:
Daviaud, Édouard
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2024 538(1)
Autor:
Daviaud, Édouard
Recently, mass transference principles in metric number theory extend towards two direction. On one hand, the shape of the approximating sets can be taken of various shape, balls, rectangles or even general open sets (one refers to some results of Ra
Externí odkaz:
http://arxiv.org/abs/2112.10413