2016, Graduate Studies in Mathematics, ISBN 9781470419134, Volume 168., 326

Book

Random operators and stochastic equations, ISSN 0926-6364, 1993

Journal

2016, Graduate studies in mathematics, ISBN 9780821848418, Volume 172, xi, 461

Random matrices (probabilistic aspects; for algebraic aspects see 15B52) | Equations of mathematical physics and other areas of application | Partial differential equations | Approximations and expansions | Probability theory and stochastic processes | Special matrices | Operator theory | Probability theory on algebraic and topological structures | Riemann-Hilbert problems | Exact enumeration problems, generating functions | Convex and discrete geometry | Special classes of linear operators | Combinatorics | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) | Time-dependent statistical mechanics (dynamic and nonequilibrium) | Enumerative combinatorics | Exactly solvable dynamic models | Linear and multilinear algebra; matrix theory | Special processes | Statistical mechanics, structure of matter | Toeplitz operators, Hankel operators, Wiener-Hopf operators | Tilings in $2$ dimensions | Interacting random processes; statistical mechanics type models; percolation theory | Discrete geometry | Random matrices | Combinatorial analysis

Book

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

weak random operators | geometric Brownian | 60K37 | Green kernel | Sturm–Liouville theory | 60H25 | Sturm-Liouville theory | Field theory | Linear operators

Journal Article

2011, Contemporary mathematics, ISBN 9780821868980, Volume 552, viii, 224

Book

6.
Full Text
Linear Sobolev Type Equations with Relatively p-Sectorial Operators in Space of ＂Noises

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

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

Journal of optimization theory and applications, ISSN 0022-3239, 10/2016, Volume 171, Issue 1, pp. 90 - 120

...–Backward algorithm, involving two random maximal monotone operators and a sequence of decreasing step sizes...

Stochastic proximal point algorithm | Mathematics | Theory of Computation | Dynamical systems | Optimization | Random maximal monotone operators | Calculus of Variations and Optimal Control; Optimization | Stochastic Forward–Backward algorithm | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 47H05 | 47N10 | 34A60 | 62L20 | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms | Studies | Operators | Integrals | Asymptotic properties | Inequalities | Stochasticity | Convergence | Probability | Dynamical Systems | Optimization and Control

Stochastic proximal point algorithm | Mathematics | Theory of Computation | Dynamical systems | Optimization | Random maximal monotone operators | Calculus of Variations and Optimal Control; Optimization | Stochastic Forward–Backward algorithm | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 47H05 | 47N10 | 34A60 | 62L20 | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms | Studies | Operators | Integrals | Asymptotic properties | Inequalities | Stochasticity | Convergence | Probability | Dynamical Systems | Optimization and Control

Journal Article

Frontiers in physics, ISSN 2296-424X, 10/2017, Volume 5

... for the underlying diffusive properties. Recently, researchers have proposed different fractional-time operators (namely...

Fractional order derivatives | Fractional-time operators | Continuous time random walk | Fractional calculus | Anomalous diffusion | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Research | Heat equation | Diffusion | Complex systems | fractional order derivatives | fractional-time operators | fractional calculus | anomalous diffusion | continuous time random walk

Fractional order derivatives | Fractional-time operators | Continuous time random walk | Fractional calculus | Anomalous diffusion | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Research | Heat equation | Diffusion | Complex systems | fractional order derivatives | fractional-time operators | fractional calculus | anomalous diffusion | continuous time random walk

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

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

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

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

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

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

Expert systems with applications, ISSN 0957-4174, 10/2019, Volume 132, pp. 166 - 188

•New Chaotic bridging mechanism is proposed for Grasshopper Optimisation algorithm.•Chaotic Crossover scheme is proposed.•Implications of the modification on...

Grasshopper optimisation algorithm | Crossover | Chaos theory | Congress on Evolutionary Computation (CEC) | Operations Research & Management Science | Engineering | Technology | Computer Science | Engineering, Electrical & Electronic | Computer Science, Artificial Intelligence | Science & Technology | Electrical engineering | Control engineering | Protein structure prediction | Algorithms | Mathematical optimization | Analysis | Parameter estimation | Sequences | Sound waves | Decision making | Exploration | Embedding | Evolutionary algorithms | Statistical tests | Optimization | Crossovers | Exploitation | Operators (mathematics) | Random numbers | Bridging | Model reduction

Grasshopper optimisation algorithm | Crossover | Chaos theory | Congress on Evolutionary Computation (CEC) | Operations Research & Management Science | Engineering | Technology | Computer Science | Engineering, Electrical & Electronic | Computer Science, Artificial Intelligence | Science & Technology | Electrical engineering | Control engineering | Protein structure prediction | Algorithms | Mathematical optimization | Analysis | Parameter estimation | Sequences | Sound waves | Decision making | Exploration | Embedding | Evolutionary algorithms | Statistical tests | Optimization | Crossovers | Exploitation | Operators (mathematics) | Random numbers | Bridging | Model reduction

Journal Article

15.
Full Text
Magnon–magnon interactions in O(3) ferromagnets and equations of motion for spin operators

Annals of physics, ISSN 0003-4916, 11/2015, Volume 362, Issue Complete, pp. 336 - 362

The method of equations of motion for spin operators in the case of O(3) Heisenberg ferromagnet is systematically analyzed starting from the effective Lagrangian...

Hamiltonian lattice theory | Decoupling approximation | Wess–Zumino term | O Heisenberg ferromagnet | Effective field theory | Type A/B Goldstone boson | Wess-Zumino term | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Analysis | Ferromagnetism | Lagrange multiplier | Magnetism | Approximations | Physics - Strongly Correlated Electrons | RANDOMNESS | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | GOLDSTONE BOSONS | LAGRANGIAN FUNCTION | MAGNONS | LATTICE FIELD THEORY | PERTURBATION THEORY | FERROMAGNETISM | HAMILTONIANS | DECOUPLING | HEISENBERG MODEL | RANDOM PHASE APPROXIMATION

Hamiltonian lattice theory | Decoupling approximation | Wess–Zumino term | O Heisenberg ferromagnet | Effective field theory | Type A/B Goldstone boson | Wess-Zumino term | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Analysis | Ferromagnetism | Lagrange multiplier | Magnetism | Approximations | Physics - Strongly Correlated Electrons | RANDOMNESS | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | GOLDSTONE BOSONS | LAGRANGIAN FUNCTION | MAGNONS | LATTICE FIELD THEORY | PERTURBATION THEORY | FERROMAGNETISM | HAMILTONIANS | DECOUPLING | HEISENBERG MODEL | RANDOM PHASE APPROXIMATION

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

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

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

Exact results | Random/ordered microstructures | Rigorous results in statistical mechanics | Large deviation | Mechanics | Physical Sciences | Technology | Physics | Physics, Mathematical | Science & Technology

Journal Article