A. Raposo

activity

20202026

most citedConstants of the Kahane--Salem--Zygmund inequality asymptotically bounded by

1

6 citations · 7 across the 14 of their papers we have counts for

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10 papers · 1 filter

math.FA2026

$(α, c)$ -spaceability of continuous functions with prescribed Hausdorff graph dimension

Anselmo Raposo Junior, Daniel Pellegrino

Let $1 < s \leq 2$ and let $H_{s} [0, 1]$ consist of the real-valued continuous functions on $[0, 1]$ whose graphs have Hausdorff dimension $s$ . We prove that every finite-dimensional subs…

quant-ph2026

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…

math.FA2026

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 $n^{d + o (1)}$ , we determine…

math.FA2026

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 $m$ -linear forms with small supremum norm. We consider its dimension-free symmetric constant $C_{m}^{sym}$ over the…

math.FA2026

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 $m \geq 2$ and $d \in [1, m]$ , we determine the pro…

math.FA2026

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 $ℓ_{p}^{n}$ . For $m$ -homogen…

quant-ph2026

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…

math.FA2026

Subexponential Bohnenblust-Hille Inequalities on Finite Cyclic Groups

Daniel M. Pellegrino, Anselmo Raposo

Let $C_{q}$ denote the group of the $q$ th roots of unity. A question arising from the work of Becker, Klein, Slote, Volberg and Zhang is whether the dimension-free Bohnenblust--Hille…

math.FA2026

Hilbertian Kahane--Salem--Zygmund Inequalities: Extremizers and Quantitative Gaps

Daniel M. Pellegrino, Anselmo Raposo

We study real multilinear forms with coefficients in ${- 1, 1}$ on finite-dimensional Hilbert spaces. Every trilinear sign form on $ℓ_{2}^{r} \times ℓ_{2}^{n} \times ℓ_{2}^{n}$ has norm a…

math.FA2026

Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus

Anselmo Raposo, Geivison Ribeiro

For an operator $T : X \to Y$ , denote $m (T) = in f {∥ T x ∥ : x \in S_{X}}$ . A sequence $(x_{n})$ in $S_{X}$ is said to be minimizing for $T$ if $∥ T x_{n} ∥ \to m (T)$ . The weak minimizing property…

(α,c)-spaceability of continuous functions with prescribed Hausdorff graph dimension

Criticality Concentrates Extensive Sensing Information into a Local Readout

Sparse Kahane--Salem--Zygmund Forms and Weighted Hardy--Littlewood Inequalities Across the Critical Endpoint

Symmetric Kahane--Salem--Zygmund Inequalities and the Supremum Norm

Sharp Summability on Supports of Prescribed Combinatorial Dimension

Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials

Quantum simulation of circular cluster interactions in a linear spin chain

Subexponential Bohnenblust-Hille Inequalities on Finite Cyclic Groups

Hilbertian Kahane--Salem--Zygmund Inequalities: Extremizers and Quantitative Gaps

Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus

$(α, c)$ -spaceability of continuous functions with prescribed Hausdorff graph dimension