Search
Search Results
-
The Hausdorff Dimension of the Spectrum of a Class of Generalized Thue-Morse Hamiltonians
Let τ be a generalized Thue-Morse substitution on a two-letter alphabet { a, b }: τ ( a ) = a m b m , τ ( b ) = b m a m for the integer m ≥ 2. Let ξ be a sequence...
-
Exponentially Bounded C-semigroup and the Cauchy Initial Value Problems in Complete Random Normed Modules
In this paper, the notion of C -semigroup of continuous module homomorphisms on a complete random normal (RN) module is introduced and investigated....
-
A universal formula for derivation operators and applications
We give a universal formula describing derivation operators on a Hilbert space for a large class of interpolation methods. It is based on a simple...
-
Inverse Problem Stability of a Continuous-in-Time Financial Model
In this work, we study the inverse problem stability of the continuous-in-time model which is designed to be used for the finances of public...
-
Interior Eigenvalue Density of Jordan Matrices with Random Perturbations
We study the eigenvalue distribution of a large Jordan block subject to a small random Gaussian perturbation. A result by E. B. Davies and M. Hager...
-
On Symmetries of the Feinberg–Zee Random Hop** Matrix
In this paper we study the spectrum Σ of the infinite Feinberg–Zee random hop** matrix, a tridiagonal matrix with zeros on the main diagonal and...
-
Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials
We investigate some bounds for the integrated density of states in the pure point regime for the random Schrödinger operators with decaying random...
-
Localization for Random Block Operators
We continue the investigations of Kirsch, Metzger and the secondnamed author [J. Stat. Phys. 143, 1035–1054 (2011)] on spectral properties of a...
-
A new class of general nonlinear random set-valued variational inclusion problems involving A-maximal m-relaxed η-accretive map**s and random fuzzy map**s in Banach spaces
At the present article, we consider a new class of general nonlinear random A- maximal m -relaxed η -accretive equations with random relaxed cocoercive...
-
Resonances for “Large” Ergodic Systems in One Dimension: A Review
The present note reviews recent results on resonances for one-dimensional quantum ergodic systems constrained to a large box (see [14]). We restrict...
-
Understanding the Random Displacement Model: From Ground State Properties to Localization
We give a detailed survey of results obtained in the most recent half-decade which led to a deeper understanding of the random displacement model, a...
-
Asymptotic ergodicity of the eigenvalues of random operators in the localized phase
We prove that, for a general class of random operators, the family of the unfolded eigenvalues in the localization region is asymptotically ergodic...
-
von Neumann’s mean ergodic theorem on complete random inner product modules
We first prove two forms of von Neumann’s mean ergodic theorems under the framework of complete random inner product modules. As applications, we...
-
Point localization and spectral theory for symmetric random operators
In a Hilbert space context, we propose a rather general notion of “random operators” which allows for taking stochastic limits. After establishing a...
-
Spectral instability for non-selfadjoint operators
We describe a recent result of M. Hager, stating roughly that for nonselfadjoint ordinary differential operators with a small random perturbation we...
-
Local Functional Principal Component Analysis
Covariance operators of random functions are crucial tools to study the way random elements concentrate over their support. The principal component...