Zobrazeno 1 - 10
of 235
pro vyhledávání: '"Chávez, Angel"'
A theorem of Hunter ensures that the complete homogeneous symmetric polynomials of even degree are positive definite functions. A probabilistic interpretation of Hunter's theorem suggests a broad generalization: the construction of so-called random v
Externí odkaz:
http://arxiv.org/abs/2403.10314
Autor:
Bouthat, Ludovick, Chávez, Ángel, Fullerton, Sarah, LaFortune, Matilda, Linarez, Keyron, Liyanage, Nethmin, Son, Justin, Ting, Tyler
Recent work shows that a new family of norms on Hermitian matrices arise by evaluating the even degree complete homogeneous symmetric (CHS) polynomials on the eigenvalues of a Hermitian matrix. The CHS norm of a graph is then defined by evaluating th
Externí odkaz:
http://arxiv.org/abs/2311.04689
We improve and expand in two directions the theory of norms on complex matrices induced by random vectors. We first provide a simple proof of the classification of weakly unitarily invariant norms on the Hermitian matrices. We use this to extend the
Externí odkaz:
http://arxiv.org/abs/2310.07196
Autor:
Chavez-Angel, Emigdio, Tsipas, Polychronis, Xiao, Peng, Ahmadi, Mohammad Taghi, Daaoub, Abdalghani, Sadeghi, Hatef, Torres, Clivia M. Sotomayor, Dimoulas, Athanasios, Sachat, Alexandros El
Artificially engineered 2D materials offer unique physical properties for thermal management, surpassing naturally occurring materials. Here, using van der Waals epitaxy, we demonstrate the ability to engineer extremely insulating ultra-thin thermal
Externí odkaz:
http://arxiv.org/abs/2303.05808
Autor:
Esteso, V., Duquennoy, R., Ng, R. C., Colautti, M., Lombardi, P., Arregui, G., Chavez-Ángel, E., Sotomayor-Torres, C. M., García, P. D., Hilke, M., Toninelli, C.
Understanding heat transport is relevant to develop efficient strategies for thermal management in microelectronics for instance, as well as for fundamental science purposes. However, measuring temperatures in nanostructured environments and in cryog
Externí odkaz:
http://arxiv.org/abs/2303.03752
We introduce a family of norms on the $n \times n$ complex matrices. These norms arise from a probabilistic framework, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in noncommuting va
Externí odkaz:
http://arxiv.org/abs/2211.07938
Autor:
Chavez, Angel, Waldor, Jacob
This paper studies the asymptotic properties of weighted sums of the form $Z_n=\sum_{i=1}^n a_i X_i$, in which $X_1, X_2, \ldots, X_n$ are i.i.d.~random variables and $a_1, a_2, \ldots, a_n$ correspond to either eigenvalues or singular values in the
Externí odkaz:
http://arxiv.org/abs/2209.11389
Autor:
Ng, Ryan C, Sachat, Alexandros El, Cespedes, Francisco, Poblet, Martin, Madiot, Guilhem, Jaramillo-Fernandez, Juliana, Xiao, Peng, Florez, Omar, Sledzinska, Marianna, Sotomayor-Torres, Clivia, Chavez-Angel, Emigdio
Phonons play a key role in the physical properties of materials, and have long been a topic of study in physics. While the effects of phonons had historically been considered to be a hindrance, modern research has shown that phonons can be exploited
Externí odkaz:
http://arxiv.org/abs/2203.15476
Let $G$ be a graph with $m$ edges and let $f$ be a bijection from $E(G)$ to $\{1,2, \dots, m\}$. For any vertex $v$, denote by $\phi_f(v)$ the sum of $f(e)$ over all edges $e$ incident to $v$. If $\phi_f(v) \neq \phi_f(u)$ holds for any two distinct
Externí odkaz:
http://arxiv.org/abs/2203.14842
Publikováno v:
In Optics and Laser Technology November 2024 178
