Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Julien Barral"'
Autor:
Julien Barral, Stéphane Seuret
Publikováno v:
Journal de Mathématiques Pures et Appliquées.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab50f9b4cf4db940db508a5664432f5e
https://doi.org/10.1016/j.matpur.2023.05.010
https://doi.org/10.1016/j.matpur.2023.05.010
Autor:
Julien Barral, Stéphane Seuret
Publikováno v:
Journal de Mathématiques Pures et Appliquées.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efff6cda8c441bd3c7571bf19a75ae6d
https://doi.org/10.1016/j.matpur.2023.05.003
https://doi.org/10.1016/j.matpur.2023.05.003
Autor:
Julien Barral, Xiong Jin
Publikováno v:
International Mathematics Research Notices. 2022:13857-13896
We consider the action of Mandelbrot multiplicative cascades on probability measures supported on a symbolic space. For general probability measures, we obtain almost a sharp criterion of non-degeneracy of the limiting measure; it relies on the lower
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f91640d8858b7b7709cf9cc68a94415
https://doi.org/10.1093/imrn/rnab125
https://doi.org/10.1093/imrn/rnab125
Autor:
De-Jun Feng, Julien Barral
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 149:254-303
We compute the Hausdorff dimension of any random statistically self-affine Sierpinski sponge K ⊂ R k ( k ≥ 2 ) obtained by using some percolation process in [ 0 , 1 ] k . To do so, we first exhibit a Ledrappier-Young type formula for the Hausdorf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc521a1c794448f986b625a95888a3c5
https://doi.org/10.1016/j.matpur.2021.02.003
https://doi.org/10.1016/j.matpur.2021.02.003
Autor:
De-Jun Feng, Julien Barral
Publikováno v:
Mathematische Zeitschrift. 298:359-383
Let $\mu$ be a self-similar measure generated by an IFS $\Phi=\{\phi_i\}_{i=1}^\ell$ of similarities on $\mathbb R^d$ ($d\ge 1$). When $\Phi$ is dimensional regular (see Definition~1.1), we give an explicit formula for the $L^q$-spectrum $\tau_\mu(q)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff6e326f0a471d58a06fea6e0832e8d2
https://doi.org/10.1007/s00209-020-02622-5
https://doi.org/10.1007/s00209-020-02622-5
Publikováno v:
EMS Newsletter. :43-47
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ff99d731a04229d13447c04cfb5f1f6
https://doi.org/10.4171/news/108/12
https://doi.org/10.4171/news/108/12
Autor:
De-Jun Feng, Julien Barral
Publikováno v:
Advances in Mathematics. 325:640-718
Let μ be a planar Mandelbrot measure and π ⁎ μ its orthogonal projection on one of the principal axes. We study the thermodynamic and geometric properties of π ⁎ μ . We first show that π ⁎ μ is exact dimensional, with dim ( π ⁎ μ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebebc0432ea8901f4bbc51cd3141956c
https://doi.org/10.1016/j.aim.2017.12.008
https://doi.org/10.1016/j.aim.2017.12.008
Autor:
Julien Barral, Najmeddine Attia
Publikováno v:
Communications in Mathematical Physics. 351:873-875
The paper contains a gap in the justification of the uniform non degeneracy of the measures $${\mu_\varrho}$$ , $${\varrho\in\mathcal{J}}$$ , asserted in Proposition 2.8.1; we used a 0-1 law argument which cannot hold in general due to a conditioning
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0b2808881685f002798d46f29b88ea7
https://doi.org/10.1007/s00220-016-2826-1
https://doi.org/10.1007/s00220-016-2826-1
Autor:
Julien Barral
Publikováno v:
Annales scientifiques de l'École normale supérieure. 48:1457-1510
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2ea875dc3ae9524733d776e76d7ae63
https://doi.org/10.24033/asens.2274
https://doi.org/10.24033/asens.2274
Autor:
Julien Barral, Stéphane Seuret
This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fr
