Zobrazeno 1 - 10
of 25 755
pro vyhledávání: '"P. Haar"'
We prove a Carbery-Wright style anti-concentration inequality for the unitary Haar measure, by showing that the probability of a polynomial in the entries of a random unitary falling into an $\varepsilon$ range is at most a polynomial in $\varepsilon
Externí odkaz:
http://arxiv.org/abs/2407.19561
This paper introduces nonlinear fractional Lane-Emden equations of the form, $$ D^{\alpha} y(x) + \frac{\lambda}{x^\beta}~ D^{\beta} y(x) + f(y) =0, ~ ~1 < \alpha \leq 2, ~~ 0< \beta \leq 1, ~~ 0 < x < 1,$$ subject to boundary conditions, $$ y'(0) =\
Externí odkaz:
http://arxiv.org/abs/2408.10212
Remote sensing image restoration aims to reconstruct missing or corrupted areas within images. To date, low-rank based models have garnered significant interest in this field. This paper proposes a novel low-rank regularization term, named the Haar n
Externí odkaz:
http://arxiv.org/abs/2407.08509
Autor:
Speckhofer, Thomas
For $n\in \mathbb{N}$, let $Y_n$ denote the linear span of the first $n+1$ levels of the Haar system in a Haar system Hardy space $Y$ (this class contains all separable rearrangement-invariant function spaces and also related spaces such as dyadic $H
Externí odkaz:
http://arxiv.org/abs/2407.05187
Autor:
Magee, Michael, de la Salle, Mikael
We prove almost sure strong asymptotic freeness of i.i.d. random unitaries with the following law: sample a Haar unitary matrix of dimension $n$ and then send this unitary into an irreducible representation of $U(n)$. The strong convergence holds as
Externí odkaz:
http://arxiv.org/abs/2409.03626
We study $L^p(\mu)$ estimates for the commutator $[H,b]$, where the operator $H$ is a dyadic model of the classical Hilbert transform introduced in \cite{arXiv:2012.10201,arXiv:2212.00090} and is adapted to a non-doubling Borel measure $\mu$ satisfyi
Externí odkaz:
http://arxiv.org/abs/2409.01155
Common random string model is a popular model in classical cryptography. We study a quantum analogue of this model called the common Haar state (CHS) model. In this model, every party participating in the cryptographic system receives many copies of
Externí odkaz:
http://arxiv.org/abs/2407.07908
Unclonable cryptography is concerned with leveraging the no-cloning principle to build cryptographic primitives that are otherwise impossible to achieve classically. Understanding the feasibility of unclonable encryption, one of the key unclonable pr
Externí odkaz:
http://arxiv.org/abs/2405.10274
This paper represents a significant leap forward in the problem of enumerating vertex-transitive graphs. Recent breakthroughs on symmetry of Cayley (di)graphs show that almost all finite Cayley (di)graphs have the smallest possible automorphism group
Externí odkaz:
http://arxiv.org/abs/2405.09192
Autor:
Zhao, Yi-Ning, Chen, Lin-Shan, Chen, Liu-Ya, Kong, Lingxin, Wang, Chong, Ren, Cheng, Zhang, Su-Heng, Cao, De-Zhong
A scenario of ghost imaging with hybrid transform approach is proposed by integrating Hadamard, discrete cosine, and Haar matrices. The measurement matrix is formed by the Kronecker product of the two different transform matrices. The image informati
Externí odkaz:
http://arxiv.org/abs/2405.03729