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Random operators and stochastic equations, ISSN 0926-6364, 1993
Journal
Random Operators and Stochastic Equations, ISSN 0926-6364, 03/2019, Volume 27, Issue 1, pp. 53 - 63
We analyze two weak random operators, initially motivated from processes in random environment... 
weak random operators | geometric Brownian | 60K37 | Green kernel | Sturm–Liouville theory | 60H25 | Sturm-Liouville theory | Field theory | Linear operators
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 12/2015, Volume 2015, Issue 2015
.... To reach this goal the Nelson-Gliklikh derivative is introduced and the spaces of “noises” are developed. The Sobolev type equations with relatively sectorial operators are considered in the spaces of differentiable... 
Stochastic analysis | Research | Mathematical research | Operator theory | Studies | Ordinary differential equations | Random variables | Noise | Operators | Initial conditions | Mathematical analysis | Uniqueness | Boundary conditions | Derivatives | Stochasticity
Journal Article
1991, Lecture Notes in Mathematics, ISBN 3540549757, Volume 1498., 125
The interplay between the spectral theory of Schr|dinger operators and probabilistic considerations forms the main theme of these notes, written for the non... 
Distribution (Probability theory | Probability Theory and Stochastic Processes | Theoretical, Mathematical and Computational Physics
Book
Constructive approximation, ISSN 1432-0940, 03/2007, Volume 26, Issue 2, pp. 153 - 172
...). We follow our previous work and apply the sampling operator to the error analysis in both the RKHS norm and the L2 norm... 
Numerical Analysis | Analysis | Mathematics | Regularization scheme | Reproducing kernel Hilbert space | Learning theory | Sampling operator | Vector-valued random variable | Physical Sciences | Science & Technology
Journal Article
Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 3, pp. 515 - 523
Random compact operators are useful to study random differentiation and random integral equations... 
Random compact operator | Random Banach space | Random bounded | Random norm | Bounded linear operator | Finite dimensional
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 10/2015, Volume 27, Issue 9, p. 1550020
We study the ergodic properties of Delone–Anderson operators, using the framework of randomly colored Delone sets and Delone dynamical systems... 
Random Schrödinger operators | Delone sets | integrated density of states | ergodic theorem | Delone-Anderson operators | Physical Sciences | Physics | Physics, Mathematical | Science & Technology
Journal Article
Infinite dimensional analysis, quantum probability, and related topics, ISSN 0219-0257, 06/2018, Volume 21, Issue 2
The extension of averaging procedure for operator-valued function is defined by means of the integration of measurable map with respect to complex-valued measure or pseudomeasure... 
random variable | Chernoff equivalence | One-parametric semigroup | Chernoff theorem | Feynman formula | Statistics & Probability | Quantum Science & Technology | Physical Sciences | Physics, Mathematical | Mathematics | Mathematics, Applied | Physics | Science & Technology
Journal Article
Random operators and stochastic equations, ISSN 1569-397X, 12/2019, Volume 27, Issue 4, pp. 253 - 259
We consider one-dimensional random Schrödinger operators with a background potential, arising in the inverse scattering problem... 
Random Schrödinger operators | 35J10 | essential spectrum | Anderson localization,integrated density of states | 82B44 | Operators (mathematics) | Inverse scattering | Anderson localization
Journal Article
2016, ISBN 0128053461, 84
A comprehensive discussion of the random norm of random bounded linear operators, also providing important random norms as random norms of differentiation operators and integral operators... 
Random operators
eBook
Journal of statistical mechanics, ISSN 1742-5468, 11/2016, Volume 2016, Issue 11, p. 113103
This work aimed to explore the fundamental aspects of the spectral properties of few-body general operators... 
Exact results | Random/ordered microstructures | Rigorous results in statistical mechanics | Large deviation | Mechanics | Physical Sciences | Technology | Physics | Physics, Mathematical | Science & Technology
Journal Article