Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Bernués, Julio"'
Autor:
Crespo, Miguel Angel, Bernués, Julio
We show the relevance of the logarithmic integral function in the development of mathematics in the first half of the 19th century. Its importance involved first level mathematicians such as Euler, Gauss, Bessel, Riemann. Our perspective is the resul
Externí odkaz:
http://arxiv.org/abs/2205.07564
We prove various extensions of the Loomis-Whitney inequality and its dual, where the subspaces on which the projections (or sections) are considered are either spanned by vectors $w_i$ of a not necessarily orthonormal basis of $\mathbb{R}^n$, or thei
Externí odkaz:
http://arxiv.org/abs/2002.05794
In this note prove the following Berwald-type inequality, showing that for any integrable log-concave function $f:\mathbb R^n\rightarrow[0,\infty)$ and any concave function $h:L\rightarrow\mathbb [0,\infty)$, where $L$ is the epigraph of $-\log \frac
Externí odkaz:
http://arxiv.org/abs/1908.01154
Autor:
Bernués, Julio, Miana, Pedro J.
Mar\'ia Andresa Casamayor de la Coma, born in Zaragoza, is known as the first woman who published a scientific book in Spain. In this paper we provide answers to several of the most important questions about her unknown biography such as her birth da
Externí odkaz:
http://arxiv.org/abs/1901.07389
Zhang's reverse affine isoperimetric inequality states that among all convex bodies $K\subseteq\mathbb{R}^n$, the affine invariant quantity $|K|^{n-1}|\Pi^*(K)|$ (where $\Pi^*(K)$ denotes the polar projection body of $K$) is minimized if and only if
Externí odkaz:
http://arxiv.org/abs/1810.07507
In this paper we prove that for any $p\in[2,\infty)$ the $\ell_p^n$ unit ball, $B_p^n$, satisfies the square negative correlation property with respect to every orthonormal basis, while we show it is not always the case for $1\le p\le 2$. In order to
Externí odkaz:
http://arxiv.org/abs/1803.06847
We prove that the uniform probability measure $\mu$ on every $(n-k)$-dimensional projection of the $n$-dimensional unit cube verifies the variance conjecture with an absolute constant $C$ $$\textrm{Var}_\mu|x|^2\leq C \sup_{\theta\in S^{n-1}}{\mathbb
Externí odkaz:
http://arxiv.org/abs/1703.09973
We recall two approaches to recent improvements of the classical Sobolev inequality. The first one follows the point of view of Real Analysis, while the second one relies on tools from Convex Geometry. In this paper we prove a (sharp) connection betw
Externí odkaz:
http://arxiv.org/abs/1107.2139
The isotropy constant of any $d$-dimensional polytope with $n$ vertices is bounded by $C \sqrt{n/d}$ where $C>0$ is a numerical constant.
Externí odkaz:
http://arxiv.org/abs/0904.2632
Autor:
Bernues, Julio, Pascual, Javier
We give criteria of total incomparability for certain classes of mixed Tsirelson spaces. We show that spaces of the form $T[(M_k,\theta_k)_{k=1}^{\ell}]$ with index $i(M_k)$ finite are either $c_0$ or $\ell_p$ saturated for some $p$ and we characteri
Externí odkaz:
http://arxiv.org/abs/math/0103003