Zobrazeno 1 - 10
of 101
pro vyhledávání: '"da Silva, José Luis"'
By using white noise analysis, we study the integral kernel $\xi(x)$, $x\in\mathbb{R}^{d}$, of stochastic currents corresponding to fractional Brownian motion with Hurst parameter $H\in(0,1)$. For $x\in\mathbb{R}^{d}\backslash\{0\}$ and $d\ge1$ we sh
Externí odkaz:
http://arxiv.org/abs/2408.10936
Autor:
Nasir, Alviu Rey, Da Silva, José Luís, Magallanes, Jingle, Suryawan, Herry Pribawanto, Nasir-Britos, Roshin Marielle
Starting with the overall wave function expression for the electron in an Aharonov-Bohm potential, we derive a version of the Kuramoto Model describing the phase dynamics of the bound state of the quantum mechanical system.
Comment: 14 pages, 6
Comment: 14 pages, 6
Externí odkaz:
http://arxiv.org/abs/2408.06162
We construct the Feynman integral for the Schr\"odinger propagator in the polar conjugate momentum space, which describes the bound state Aharonov-Bohm effect, as a well-defined white noise functional.
Comment: 28 pages, 1 figure
Comment: 28 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2407.15107
In this paper, we investigate the Green measure for a class of non-Gaussian processes in $\mathbb{R}^{d}$. These measures are associated with the family of generalized grey Brownian motions $B_{\beta,\alpha}$, $0<\beta\le1$, $0<\alpha\le2$. This fami
Externí odkaz:
http://arxiv.org/abs/2404.02076
In this paper, we study the quasi-invariant property of a class of non-Gaussian measures. These measures are associated with the family of generalized grey Brownian motions. We identify the Cameron--Martin space and derive the explicit Radon-Nikodym
Externí odkaz:
http://arxiv.org/abs/2312.15695
This work is concerned with the existence of mild solutions and the uniqueness of distributional solutions to nonlinear Fokker-Planck equations with nonlocal operators $\Psi(-\Delta)$, where $\Psi$ is a Bernstein function. As applications, the existe
Externí odkaz:
http://arxiv.org/abs/2308.06388
Autor:
Kondratiev, Yuri, da Silva, José Luís
In this paper we study the existence of Green measures for Markov processes with a nonlocal jump generator. The jump generator has no second moment and satisfies a suitable condition on its Fourier transform. We also study the same problem for certai
Externí odkaz:
http://arxiv.org/abs/2207.12223
In this paper we use a biorthogonal approach to the analysis of the infinite dimensional fractional Poisson measure $\pi_{\sigma}^{\beta}$, $0<\beta\leq1$, on the dual of Schwartz test function space $\mathcal{D}'$. The Hilbert space $L^{2}(\pi_{\sig
Externí odkaz:
http://arxiv.org/abs/2205.03397
In this paper, we use a biorthogonal approach (Appell system) to construct and characterize the spaces of test and generalized functions associated to the fractional Poisson measure $\pi_{\lambda,\beta}$, that is, a probability measure in the set of
Externí odkaz:
http://arxiv.org/abs/2205.00059
In this paper we study stochastic currents of Brownian motion $\xi(x)$, $x\in\mathbb{R}^{d}$, by using white noise analysis. For $x\in\mathbb{R}^{d}\backslash\{0\}$ and for $x=0\in\mathbb{R}$ we prove that the stochastic current $\xi(x)$ is a Hida di
Externí odkaz:
http://arxiv.org/abs/2108.12063