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pro vyhledávání: '"Ledezma A"'
Autor:
Ledezma, Ángel Morán
In this work, we study the dynamics of complex systems with time-dependent transition rates, focusing on $p$-adic analysis in modeling such systems. Starting from the master equation that governs the stochastic dynamics of a system with a large numbe
Externí odkaz:
http://arxiv.org/abs/2411.03406
Autor:
Sendonaris, Elina, Williams, James, Nehra, Rajveer, Gray, Robert, Sekine, Ryoto, Ledezma, Luis, Marandi, Alireza
Integrated photonic quantum information processing (QIP) has advanced rapidly due to progress in various nanophotonic platforms. Single photon detectors have been the subject of intense study due to their ubiquity in QIP systems, yet many state-of-th
Externí odkaz:
http://arxiv.org/abs/2410.18397
Motivated by multi-topology building and city model data, first a lossless representation of multiple $T_0$-topologies on a given finite set by a vertex-edge-weighted graph is given, and the subdominant ultrametric of the associated weighted graph di
Externí odkaz:
http://arxiv.org/abs/2411.00806
Motivated by the recently proven presence of ultrametricity in physical models (certain spin glasses) and the very recent study of Turing patterns on locally ultrametric state spaces, first non-autonomous diffusion operators on such spaces, where fin
Externí odkaz:
http://arxiv.org/abs/2407.21555
Autor:
Gray, Robert M., Sekine, Ryoto, Ledezma, Luis, Li, Gordon H. Y., Zhou, Selina, Roy, Arkadev, Parto, Midya, Marandi, Alireza
Arrays of nonlinear resonators offer a fertile ground for a wide range of complex phenomena and opportunities for advanced photonic sensing and computing. Recently, significant attention has focused on studying coupled resonators in special-purpose c
Externí odkaz:
http://arxiv.org/abs/2405.17355
For any graph $G = (V,E)$ and positive integer $d$, the exact distance-$d$ graph $G_{=d}$ is the graph with vertex set $V$, where two vertices are adjacent if and only if the distance between them in $G$ is $d$. We study the exact distance-$d$ Kneser
Externí odkaz:
http://arxiv.org/abs/2403.15578
Autor:
Williams, James, Nehra, Rajveer, Sendonaris, Elina, Ledezma, Luis, Gray, Robert M., Sekine, Ryoto, Marandi, Alireza
Photonics offers unique capabilities for quantum information processing (QIP) such as room-temperature operation, the scalability of nanophotonics, and access to ultrabroad bandwidths and consequently ultrafast operation. Ultrashort-pulse sources of
Externí odkaz:
http://arxiv.org/abs/2402.05163
The Kneser Graph $K(n,k)$ has as vertices all $k$-subsets of $\{1,\ldots,n\}$ and edges connecting two vertices if they are disjoint. The $s$-stable Kneser Graph $K_{s-stab}(n, k)$ is obtained from the Kneser graph by deleting vertices with elements
Externí odkaz:
http://arxiv.org/abs/2401.15198
Traditional absorption spectroscopy has fundamental difficulty in resolving small absorbance from strong background due to the instability of laser sources. Existing background-free methods in broadband vibrational spectroscopy help to alleviate this
Externí odkaz:
http://arxiv.org/abs/2401.01016
Autor:
Ledezma, Ángel Alfredo Morán
In this paper we study the connections of three paradigms in number theory: the adelic formulation of the Riemann zeta function, the Weil explicit formula and the concepts of the so called probabilistic number theory initiated by Harald Bohr. We give
Externí odkaz:
http://arxiv.org/abs/2311.08519