Results 21 to 30 of about 333,390 (187)

Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping [PDF]

open access: yes, 2016
We consider the model of a quantum harmonic oscillator governed by a Lindblad master equation where the typical drive and loss channels are multi-photon processes instead of single-photon ones; this implies a dissipation operator of order 2k with integer
Azouit, Remi   +2 more
core   +6 more sources

On the Solutions of a Fourth Order Difference Equation

open access: yesUniversal Journal of Mathematics and Applications, 2021
In this paper, we solve and study the global behavior of the well defined solutions of the difference equation $$x_{n+1}=\frac{x_{n}x_{n-3}}{Ax_{n-2}+Bx_{n-3}}, \quad n=0,1,...,$$ where $A, B>0$ and the initial values $x_{-i}$, $i\in\{0,1,2,3 ...
R Abo-zeıd
doaj   +1 more source

Complete convergence of randomly weighted END sequences and its application

open access: yesJournal of Inequalities and Applications, 2017
We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent ...
Penghua Li, Xiaoqin Li, Kehan Wu
doaj   +1 more source

Bootstrap, Markov Chain Monte Carlo, and LP/SDP hierarchy for the lattice Ising model

open access: yesJournal of High Energy Physics, 2023
Bootstrap is an idea that imposing consistency conditions on a physical system may lead to rigorous and nontrivial statements about its physical observables. In this work, we discuss the bootstrap problem for the invariant measure of the stochastic Ising
Minjae Cho, Xin Sun
doaj   +1 more source

Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts [PDF]

open access: yes, 2011
In this paper, a new decay estimate for a class of stochastic evolution equations with weakly dissipative drifts is established, which directly implies the uniqueness of invariant measures for the corresponding transition semigroups.
Liu, Wei, Tölle, Jonas M.
core   +1 more source

Weak Convergence of $n$-Particle Systems Using Bilinear Forms [PDF]

open access: yes, 2013
The paper is concerned with the weak convergence of $n$-particle processes to deterministic stationary paths as $n\to\infty$. A Mosco type convergence of a class of bilinear forms is introduced.
Löbus, Jörg-Uwe
core   +1 more source

Convergence of Restarted Krylov Subspaces to Invariant Subspaces [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2004
The authors prove estimates for the angle (strictly spoken: for the containment gap) between a searched invariant subspace of a general \(n\times n\) matrix and the subspace generated by Krylov subspace methods like the Arnoldi algorithm or the biorthogonal Lanczos algorithm.
Beattie, Christopher   +2 more
openaire   +1 more source

Invariant and Absolute Invariant Means of Double Sequences

open access: yesJournal of Function Spaces and Applications, 2012
We examine some properties of the invariant mean, define the concepts of strong σ-convergence and absolute σ-convergence for double sequences, and determine the associated sublinear functionals.
Abdullah Alotaibi   +2 more
doaj   +1 more source

Ultimate Dynamics of the Two-Phenotype Cancer Model: Attracting Sets and Global Cancer Eradication Conditions

open access: yesMathematics, 2023
In this paper we consider the ultimate dynamics of one 4D cancer model which was created for studying the immune response to the two-phenotype tumors. Our approach is based on the localization method of compact invariant sets.
Anatolij N. Kanatnikov   +1 more
doaj   +1 more source

Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts

open access: yesAbstract and Applied Analysis, 2013
We introduce some double sequences spaces involving the notions of invariant mean (or -mean) and -convergence for double sequences while the idea of -convergence for double sequences was introduced by Çakan et al.
S. A. Mohiuddine, Abdullah Alotaibi
doaj   +1 more source

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