19 citations · 46 across the 23 of their papers we have counts for
9 papers · 1 filter
Criticality Concentrates Extensive Sensing Information into a Local Readout
Peng Wang, Yu-Xuan Zhang, Hai-Tao Ding +1
We show that criticality concentrates extensive sensing information into a local trajectory. In the rapid-readout limit of an all-to-all dissipative feedback network, a single bina…
Sparse Kahane--Salem--Zygmund Forms and Weighted Hardy--Littlewood Inequalities Across the Critical Endpoint
Anderson Barbosa, Daniel Núñez-Alarcón, Anselmo Raposo +1
We study sparse Kahane--Salem--Zygmund constructions and weighted Hardy--Littlewood inequalities for homogeneous polynomials. For supports of cardinality , we determine…
Binary dimension-free discretization and polynomial complexification on real cubes
Luis Miguel Castaño-Marín, Daniel Núñez-Alarcón, Joedson Santos
Let be the optimal dimension-free ratio between the polytorus and Boolean-cube norms of complex multiaffine polynomials of degree at most . For every , equa…
Hadamard Rigidity and Sharp Stability in the Completely Bounded Bohnenblust--Hille Inequality
Daniel Núñez-Alarcón, Daniel M. Pellegrino, Eduardo V. Teixeira
The completely bounded Bohnenblust--Hille inequality of Arunachalam, Dutt, Escudero Gutiérrez and Palazuelos controls coefficient summability with optimal constant one, independent…
The phase diagram of injective-to-projective tensor distortion
Daniel Nunez-Alarcon, Daniel Pellegrino, Joedson Santos
For finite-dimensional Banach spaces and , set \[ ρ(E,F):=\sup_{0\neq z\in E\otimes F}\frac{π(z)}{\varepsilon(z)}. \] The square growth of was determi…
Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Anselmo Raposo +1
We determine the dimension-free threshold for the comparison between the Bombieri--Weyl norm and the supremum norm of complex homogeneous polynomials on . For -homogen…
The Geometry of Real Anisotropic Bohnenblust--Hille Constants
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Joedson Silva dos Santos +2
We determine the growth scale of the optimal constants in the real anisotropic Bohnenblust--Hille inequality. For an exponent vector , write $C_{\mathbf q^{(m)}}^{…
Optimality in a Multilinear Extension of Kwapień's Theorem
Luis Miguel Castaño Marín, Luis Miguel Castaño-Marín, Daniel Núñez-Alarcón +2
Bayart, Pellegrino, and Rueda obtained diagonal absolute summability exponents for continuous \(m\)-linear operators from \((\ell_1)^m\) into \(\ell_p\). Their optimality was known…
Asymptotic Contractivity of Bohnenblust-Hille Constants with Bounded Monomial Support
Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez
We study the optimal Bohnenblust-Hille constants for complex -homogeneous polynomials in any number of variables whose monomials with nonzero coefficient invol…