Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Baudier, Florent P."'
Autor:
Baudier, Florent, Fovelle, Audrey
In this note, we introduce and study the notions of asymptotic B-convexity and asymptotic infratype $p$, and we prove asymptotic analogs of a series of results due to Giesy \cite{Giesy66} and Pisier \cite{Pisier74}. In particular, we give a simplifie
Externí odkaz:
http://arxiv.org/abs/2405.15910
Autor:
Baudier, Florent P., Lancien, Gilles
In this note, we investigate the renorming theory of Banach spaces with property $(\beta)$ of Rolewicz. In particular, we give a "coordinate-free" proof of the fact that every Banach space with property $(\beta)$ admits an equivalent norm that is asy
Externí odkaz:
http://arxiv.org/abs/2401.17465
Autor:
Baudier, Florent, Braga, Bruno de Mendonça, Farah, Ilijas, Vignati, Alessandro, Willett, Rufus
We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if the uniform Roe algebras of coarse disjoint unions of expanders graph
Externí odkaz:
http://arxiv.org/abs/2307.11529
We describe several ordinal indices that are capable of detecting, according to various metric notions of faithfulness, the embeddability between pairs of Polish spaces. These embeddability ranks are of theoretical interest but seem difficult to esti
Externí odkaz:
http://arxiv.org/abs/2305.13505
Autor:
Baudier, Florent P., Braga, Bruno de Mendonça, Farah, Ilijas, Vignati, Alessandro, Willett, Rufus
We study which von Neumann algebras can be embedded into uniform Roe algebras and quasi-local algebras associated to a uniformly locally finite metric space $X$. Under weak assumptions, these $\mathrm{C}^*$-algebras contain embedded copies of $\prod_
Externí odkaz:
http://arxiv.org/abs/2212.14312
By discretizing an argument of Kislyakov, Naor and Schechtman proved that the 1-Wasserstein metric over the planar grid $\{0,1,\dots n\}^2$ has $L_1$-distortion bounded below by a constant multiple of $\sqrt{\log n}$. We provide a new "dimensionality
Externí odkaz:
http://arxiv.org/abs/2208.13879
Publikováno v:
In Expositiones Mathematicae May 2024 42(3)
Autor:
Baudier, Florent P., Braga, Bruno de Mendonça, Farah, Ilijas, Khukhro, Ana, Vignati, Alessandro, Willett, Rufus
We show that if $X$ and $Y$ are uniformly locally finite metric spaces whose uniform Roe algebras, $\cstu(X)$ and $\cstu(Y)$, are isomorphic as \cstar-algebras, then $X$ and $Y$ are coarsely equivalent metric spaces. Moreover, we show that coarse equ
Externí odkaz:
http://arxiv.org/abs/2106.11391
For every $p\in(0,\infty)$, a new metric invariant called umbel $p$-convexity is introduced. The asymptotic notion of umbel convexity captures the geometry of countably branching trees, much in the same way as Markov convexity, the local invariant wh
Externí odkaz:
http://arxiv.org/abs/2103.16011
We revisit the main results from \cites{BGN_SoCG14,BGN_SIAM15} and \cite{LafforgueNaor14_GD} about the impossibility of dimension reduction for doubling subsets of $\ell_q$ for $q>2$. We provide an alternative elementary proof of this impossibility r
Externí odkaz:
http://arxiv.org/abs/2103.05080