Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Pont, Jaume de Dios"'
We investigate the problem of predicting the output behavior of unknown quantum channels. Given query access to an $n$-qubit channel $E$ and an observable $O$, we aim to learn the mapping \begin{equation*} \rho \mapsto \mathrm{Tr}(O E[\rho]) \end{equ
Externí odkaz:
http://arxiv.org/abs/2409.03684
The periodic tiling conjecture asserts that if a region $\Sigma\subset \mathbb R^d$ tiles $\mathbb R^d$ by translations then it admits at least one fully periodic tiling. This conjecture is known to hold in $\mathbb R$, and recently it was disproved
Externí odkaz:
http://arxiv.org/abs/2408.02151
Log-concave sampling has witnessed remarkable algorithmic advances in recent years, but the corresponding problem of proving lower bounds for this task has remained elusive, with lower bounds previously known only in dimension one. In this work, we e
Externí odkaz:
http://arxiv.org/abs/2304.02599
In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounded frequency in a sufficiently large disc. The proof is based on a deco
Externí odkaz:
http://arxiv.org/abs/2303.11693
We give new proofs of the description convex hulls of space curves $\gamma : [a,b] \mapsto \mathbb{R}^{d}$ having totally positive torsion. These are curves such that all the leading principal minors of $d\times d$ matrix $(\gamma', \gamma'', \ldots,
Externí odkaz:
http://arxiv.org/abs/2201.12932
We prove that for $d\geq 0$ and $k\geq 2$, for any subset $A$ of a discrete cube $\{0,1\}^d$, the $k-$higher energy of $A$ (the number of $2k-$tuples $(a_1,a_2,\dots,a_{2k})$ in $A^{2k}$ with $a_1-a_2=a_3-a_4=\dots=a_{2k-1}-a_{2k}$) is at most $|A|^{
Externí odkaz:
http://arxiv.org/abs/2112.09352
Autor:
Pont, Jaume de Dios, Madrid, José
In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger. The study of these problems is motivated by a classical problem in additive combinatorics. We establish the existence of extremizers to this inequality, for a
Externí odkaz:
http://arxiv.org/abs/2106.13873
Autor:
Chang, Alan, Pont, Jaume de Dios, Greenfeld, Rachel, Jamneshan, Asgar, Li, Zane Kun, Madrid, José
We consider decoupling for a fractal subset of the parabola. We reduce studying $l^{2}L^{p}$ decoupling for a fractal subset on the parabola $\{(t, t^2) : 0 \leq t \leq 1\}$ to studying $l^{2}L^{p/3}$ decoupling for the projection of this subset to t
Externí odkaz:
http://arxiv.org/abs/2012.11458
Autor:
Pont, Jaume de Dios
The aim of this paper is to prove a uniform Fourier restriction estimate for certain $2-$dimensional surfaces in $\mathbb R^{2n}$. These surfaces are the image of complex polynomial curves $\gamma(z) = (p_1(z), \dots, p_n(z))$, equipped with the comp
Externí odkaz:
http://arxiv.org/abs/2003.14140
Autor:
Carlen, Jane, Pont, Jaume de Dios, Mentus, Cassidy, Chang, Shyr-Shea, Wang, Stephanie, Porter, Mason A.
In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods. In this paper, we classify docking stations in bicycle-sharing networks to gain insight into the human mobility pa
Externí odkaz:
http://arxiv.org/abs/1908.09440