Zobrazeno 1 - 10
of 1 193
pro vyhledávání: '"A Gzyl"'
Autor:
Gzyl, Henryk
In this work, we re-examine the Goldstein-Ka\c{c} velocity switching model from two points of view. On the one hand, we prove that the forward and backward Chapman-Kolmogorov equations of the stochastic process are Lorentz covariant when the trajecto
Externí odkaz:
http://arxiv.org/abs/2407.08905
Autor:
Gzyl, Henryk
When there are no constraints upon the solutions of the equation $\mathbf{A}\mathbf{\xi}= \mathbf{y},$ where $\mathbf{A}$ is a $K\times N-$matrix, $\mathbf{\xi}\in\mathbb{R}^N$ and $\mathbf{y}\in\mathbb{R}^K$ a given vector, the description of the se
Externí odkaz:
http://arxiv.org/abs/2406.08513
Autor:
Gzyl, Henryk
In this work, we develop a mathematical framework to model a quantum system whose Hamiltonian may depend on the state of changing environment, that evolves according to a Markovian process. When the environment changes its state, the quantum system m
Externí odkaz:
http://arxiv.org/abs/2308.07996
Autor:
Gzyl, Henryk
Consider the linear equation $\mathbf{A}\mathbf{x}=\mathbf{y}$, where $\mathbf{A}$ is a $k\times N$-matrix, $\mathbf{x}\in\mathcal{K}\subset \mathbb{R}^N$ and $\mathbf{y}\in\mathbb{R}^M$ a given vector. When $\mathcal{K}$ is a convex set and $M\not=
Externí odkaz:
http://arxiv.org/abs/2307.03680
Autor:
Gzyl, Henryk
Here we prove that the classical (respectively, quantum) system, consisting of a particle moving in a static electromagnetic field, is canonically (respectively, unitarily) equivalent to a harmonic oscillator perturbed by a spatially homogeneous forc
Externí odkaz:
http://arxiv.org/abs/2306.14641
Autor:
Gzyl, Henryk
It is proved that a classical (respec. quantum) system consisting of a particle in a constant magnetic field is canonically (respec. unitarily) equivalent to a 2-dimensional harmonic oscillator plus a free particle. It is also shown that the eigenvec
Externí odkaz:
http://arxiv.org/abs/2304.00401
In this paper we propose an optimal predictor of a random variable that has either an infinite mean or an infinite variance. The method consists of transforming the random variable such that the transformed variable has a finite mean and finite varia
Externí odkaz:
http://arxiv.org/abs/2303.14752
Autor:
Henryk Gzyl, Silvia Mayoral
Publikováno v:
Heliyon, Vol 10, Iss 15, Pp e35250- (2024)
Here we propose a model-free, non-parametric method to solve an ill-posed inverse problem arising in several fields. It consists of determining a probability density of the lifetime, or the probability of survival of an individual, from the knowledge
Externí odkaz:
https://doaj.org/article/0f6957ad85b24097a410a48658b04560
Autor:
Stefan Gzyl
Publikováno v:
PlaNext, Vol 14 (2024)
The recent deterioration of living conditions in Venezuela has resulted in an unprecedented migratory crisis, infrastructure collapse, and institutional decline. In the middle of this complex situation, migrants’ left-behind properties are being tr
Externí odkaz:
https://doaj.org/article/d553d7a0611f49d58edb85c3875c7565
Autor:
Gzyl, Henryk
In this work we address the problem of the quantization of a simple harmonic oscillator that is perturbed by a time dependent force. The approach consists of removing the perturbation by a canonical change of coordinates. Since the quantization proce
Externí odkaz:
http://arxiv.org/abs/2204.03460