19 citations · 70 across the 31 of their papers we have counts for
10 papers · 1 filter
-spaceability of continuous functions with prescribed Hausdorff graph dimension
Anselmo Raposo Junior, Daniel Pellegrino
Let and let consist of the real-valued continuous functions on whose graphs have Hausdorff dimension . We prove that every finite-dimensional subs…
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…
Symmetric Kahane--Salem--Zygmund Inequalities and the Supremum Norm
Daniel M. Pellegrino, Anselmo B. Raposo, Eduardo V. Teixeira
The Kahane--Salem--Zygmund inequality provides unimodular -linear forms with small supremum norm. We consider its dimension-free symmetric constant over the…
Typical Bohnenblust--Hille Ratios
Daniel M. Pellegrino, Eduardo V. Teixeira
The polynomial Bohnenblust--Hille inequality controls the coefficient -norm of an -homogeneous polynomial by its supremum norm, with a constant independent of t…
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…
Hardy--Littlewood Constants Beyond Polarization
Daniel Pellegrino, Eduardo Teixeira
The polynomial Hardy--Littlewood inequalities bound coefficient norms of homogeneous polynomials on balls by their supremum norms, with constants independent of the dimens…
Sharp Summability on Supports of Prescribed Combinatorial Dimension
Anderson Barbosa, Daniel Pellegrino, Anselmo Raposo +1
We solve four questions raised by Bayart concerning coefficient summability for multilinear forms with prescribed supports. For every and , we determine the pro…
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…
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)}}^{…
Quantum simulation of circular cluster interactions in a linear spin chain
Alexander van Lomwel, Hongzheng Zhao, Florian Mintert
The preparation of ground states of Hamiltonians with symmetries that are fundamentally different than those of the underlying device is a central challenge for quantum technologie…