Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping [PDF]
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
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
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
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Bootstrap, Markov Chain Monte Carlo, and LP/SDP hierarchy for the lattice Ising model
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
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Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts [PDF]
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]
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]
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
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
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
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
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