Results 1 to 10 of about 26,309 (87)

Central Limit Theorem in View of Subspace Convex-Cyclic Operators [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In our work we have defined an operator called subspace convex-cyclic operator. The property of this newly defined operator relates eigenvalues which have eigenvectors of modulus one with kernels of the operator.
H.M. Hasan   +3 more
doaj   +2 more sources

Strong q-variation inequalities for analytic semigroups [PDF]

open access: yes, 2010
Let T : Lp --> Lp be a positive contraction, with p strictly between 1 and infinity. Assume that T is analytic, that is, there exists a constant K such that \norm{T^n-T^{n-1}} < K/n for any positive integer n.
Christian, Le Merdy, Quanhua, Xu
core   +3 more sources

Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws

open access: yesPhysical Review X, 2018
Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (“spin chains”), quantum field theory, and holography.
C. W. von Keyserlingk   +3 more
doaj   +1 more source

Liouville properties and critical value of fully nonlinear elliptic operators [PDF]

open access: yes, 2016
We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate
Bardi, Martino, Cesaroni, Annalisa
core   +2 more sources

Topological Order and Memory Time in Marginally Self-Correcting Quantum Memory [PDF]

open access: yes, 2016
We examine two proposals for marginally self-correcting quantum memory, the cubic code by Haah and the welded code by Michnicki. In particular, we prove explicitly that they are absent of topological order above zero temperature, as their Gibbs ensembles
Siva, Karthik, Yoshida, Beni
core   +2 more sources

Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals

open access: yes, 2001
The spectrum of one-dimensional discrete Schr\"odinger operators associated to strictly ergodic dynamical systems is shown to coincide with the set of zeros of the Lyapunov exponent if and only if the Lyapunov exponent exists uniformly.
Lenz, Daniel
core   +2 more sources

On the Spectra and Pseudospectra of a Class of Non-Self-Adjoint Random Matrices and Operators

open access: yes, 2013
In this paper we develop and apply methods for the spectral analysis of non-self-adjoint tridiagonal infinite and finite random matrices, and for the spectral analysis of analogous deterministic matrices which are pseudo-ergodic in the sense of E.B ...
Chandler-Wilde, Simon N.   +2 more
core   +1 more source

Mean ergodicity vs weak almost periodicity

open access: yes, 2018
We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
core   +1 more source

Topological Wiener-Wintner theorems for amenable operator semigroups

open access: yes, 2013
Inspired by topological Wiener-Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on $C(K)$ and show the connection to the convergence of strong and weak ergodic nets.
Schreiber, Marco
core   +1 more source

Continuous dependence estimates for the ergodic problem of Bellman equation with an application to the rate of convergence for the homogenization problem

open access: yes, 2013
This paper is devoted to establish continuous dependence estimates for the ergodic problem for Bellman operators (namely, estimates of (v_1-v_2) where v_1 and v_2 solve two equations with different coefficients). We shall obtain an estimate of ||v_1-v_2||
Marchi, Claudio
core   +1 more source

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