Zobrazeno 1 - 10
of 480
pro vyhledávání: '"Santos, Patrick A."'
We establish a central limit theorem for the sum of $\epsilon$-independent random variables, extending both the classical and free probability setting. Central to our approach is the use of graphon limits to characterize the limiting distribution, wh
Externí odkaz:
http://arxiv.org/abs/2411.13062
Autor:
Jiménez-Teja, Yolanda, Gimenez-Alcazar, Antonio, Dupke, Renato A., Prado-Santos, Patrick, Vílchez, Jose M., de Oliveira, Nícolas O. L., Dimauro, Paola, Koekemoer, Anton M., Kelly, Patrick, Hjorth, Jens, Chen, Wenlei
We present the most detailed spectrum of the intracluster light (ICL) in an individual cluster to date, the relaxed system RX J2129.7+0005, at $z\sim 0.234$. Using 15 broad-band, deep images observed with HST and JWST in the optical and the infrared,
Externí odkaz:
http://arxiv.org/abs/2408.11122
We establish a central limit theorem for tensor product random variables $c_k:=a_k \otimes a_k$, where $(a_k)_{k \in \mathbb{N}}$ is a free family of variables. We show that if the variables $a_k$ are centered, the limiting law is the semi-circle. Ot
Externí odkaz:
http://arxiv.org/abs/2404.19662
Sharp conditions for the presence of spectral outliers are well understood for Wigner random matrices with iid entries. In the setting of inhomogeneous symmetric random matrices (i.e., matrices with a non-trivial variance profile), the corresponding
Externí odkaz:
http://arxiv.org/abs/2401.07852
We study the limiting spectral distribution of quantum channels whose Kraus operators are sampled as $n\times n$ random Hermitian matrices satisfying certain assumptions. We show that when the Kraus rank goes to infinity with n, the limiting spectral
Externí odkaz:
http://arxiv.org/abs/2311.12368
We investigate the method of moments for $d$-regular digraphs and the limiting $d$-regular directed tree $T_d$ as the number of vertices tends to infinity, in the same spirit as McKay (Linear Algebra Appl., 1981) for the undirected setting. In partic
Externí odkaz:
http://arxiv.org/abs/2309.02225
Autor:
Santos, Patrick Oliveira
Let $X_1,..., X_n \in \mathbb{R}^d$ be independent Gaussian random vectors with independent entries and variance profile $(b_{ij})_{i \in [d],j \in [n]}$. A major question in the study of covariance estimation is to give precise control on the deviat
Externí odkaz:
http://arxiv.org/abs/2307.09190
Publikováno v:
In Estuarine, Coastal and Shelf Science 15 November 2024 308
Autor:
Wootton, Nina, Gillanders, Bronwyn M., Leterme, Sophie, Noble, Warwick, Wilson, Scott P., Blewitt, Michelle, Swearer, Stephen E., Reis-Santos, Patrick
Publikováno v:
In Marine Pollution Bulletin August 2024 205
Autor:
dos Santos, Patrick Ryan Sales, de Carvalho Brito, Vitória, de Carvalho Filho, Antônio Oseas, Diniz, João Otávio Bandeira
Publikováno v:
In Biomedical Signal Processing and Control May 2024 91