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

Book

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, 1993

Journal

Computers and Mathematics with Applications, ISSN 0898-1221, 2009, Volume 57, Issue 4, pp. 624 - 632

In this paper, we introduce and study a new class of nonlinear random -resolvent operator equations with random relaxed cocoercive operators in Hilbert spaces....

Existence and convergence | Non-monotone random set-valued operator | Nonlinear random [formula omitted]-resolvent operator equation with random relaxed cocoercive operator | New generalized random iterative algorithm | Random resolvent operator technique | Nonlinear random (A, η)-resolvent operator equation with random relaxed cocoercive operator | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RESOLVENT EQUATIONS | RANDOM FUZZY MAPPINGS | BANACH-SPACES | Nonlinear random (A, eta)-resolvent operator equation with random relaxed cocoercive operator | VALUED VARIATIONAL INCLUSIONS | Operators | Theorems | Approximation | Mathematical analysis | Nonlinearity | Hilbert space | Mathematical models | Convergence

Existence and convergence | Non-monotone random set-valued operator | Nonlinear random [formula omitted]-resolvent operator equation with random relaxed cocoercive operator | New generalized random iterative algorithm | Random resolvent operator technique | Nonlinear random (A, η)-resolvent operator equation with random relaxed cocoercive operator | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RESOLVENT EQUATIONS | RANDOM FUZZY MAPPINGS | BANACH-SPACES | Nonlinear random (A, eta)-resolvent operator equation with random relaxed cocoercive operator | VALUED VARIATIONAL INCLUSIONS | Operators | Theorems | Approximation | Mathematical analysis | Nonlinearity | Hilbert space | Mathematical models | Convergence

Journal Article

1984, Mathematics and its applications (Soviet series), ISBN 9789027716699, xvi, 199

Book

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...

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

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

Book

1992, Grundlehren der mathematischen Wissenschaften, ISBN 9780387506227, Volume 297., viii, 587 p. --

Book

IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2014, Volume 60, Issue 4, pp. 2359 - 2372

We develop sampling methodology aimed at identifying stochastic operators that satisfy a support size restriction on the autocorrelation of the operators...

Time-frequency analysis | Correlation | Fourier transforms | Stochastic processes | Scattering | delta train | Haar property | Random processes | Stochastic | spreading function | autocorrelation | scattering function | Modulation | operator sampling | Gabor frames | time-frequency analysis | VARIANT LINEAR CHANNELS | COMPUTER SCIENCE, INFORMATION SYSTEMS | ACOUSTIC TELEMETRY | FRAME | ENGINEERING, ELECTRICAL & ELECTRONIC | Sampling (Acoustical engineering) | Technology application | Usage | Numerical analysis | Research | Stochastic models | Correlation analysis | Sampling techniques | Information theory

Time-frequency analysis | Correlation | Fourier transforms | Stochastic processes | Scattering | delta train | Haar property | Random processes | Stochastic | spreading function | autocorrelation | scattering function | Modulation | operator sampling | Gabor frames | time-frequency analysis | VARIANT LINEAR CHANNELS | COMPUTER SCIENCE, INFORMATION SYSTEMS | ACOUSTIC TELEMETRY | FRAME | ENGINEERING, ELECTRICAL & ELECTRONIC | Sampling (Acoustical engineering) | Technology application | Usage | Numerical analysis | Research | Stochastic models | Correlation analysis | Sampling techniques | Information theory

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2019, Volume 469, Issue 1, pp. 260 - 279

We build upon recent advances on the distributional aspect of Stein's method to propose a novel and flexible technique for computing Stein operators for random...

Variance-gamma distribution | Product distributions | Stein's method | Stein operators | GAMMA | MATHEMATICS | RATES | MATHEMATICS, APPLIED | APPROXIMATION | PRODUCTS | RANDOM-VARIABLES | BETA

Variance-gamma distribution | Product distributions | Stein's method | Stein operators | GAMMA | MATHEMATICS | RATES | MATHEMATICS, APPLIED | APPROXIMATION | PRODUCTS | RANDOM-VARIABLES | BETA

Journal Article

1991, Lecture notes in mathematics, ISBN 3540549757, Volume 1498, 125

Book

1985, Progress in probability and statistics., ISBN 9780817633240, Volume 8, x, 283 p. --

Book

Journal of Statistical Physics, ISSN 0022-4715, 5/2011, Volume 143, Issue 3, pp. 585 - 618

We study a new kind of random processes with discrete time. In fact we study a certain class of operators called substitution operators whose iterations...

Operators | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Ergodicity | Quantum Physics | Variable-length random processes | Local interaction | Statistical Physics, Dynamical Systems and Complexity | Physics | STRINGS | EVOLUTION | VARIABLE-LENGTH | PHYSICS, MATHEMATICAL

Operators | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Ergodicity | Quantum Physics | Variable-length random processes | Local interaction | Statistical Physics, Dynamical Systems and Complexity | Physics | STRINGS | EVOLUTION | VARIABLE-LENGTH | PHYSICS, MATHEMATICAL

Journal Article

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. At first glance, these operators are ill-defined, but using...

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

1979, ISBN 0470265418, xiii, 212

Book

Journal of Magnetic Resonance, ISSN 1090-7807, 2008, Volume 190, Issue 2, pp. 255 - 270

Diffusion weighted MRI is used clinically to detect and characterize neurodegenerative, malignant and ischemic diseases. The correlation between developing...

Stretched exponential | Bloch–Torrey equation | Diffusion-weighted MRI | Fractional calculus | Anomalous diffusion | Bloch-Torrey equation | fractional calculus | HUMAN BRAIN | WATER COMPARTMENTS | BIOCHEMICAL RESEARCH METHODS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | stretched exponential | diffusion-weighted MRI | DEPENDENCE | STRANGE KINETICS | FIELD-GRADIENT SPECTROSCOPY | SPECTROSCOPY | NMR RELAXATION | RANDOM-WALK | MAGNETIC-RESONANCE | FRACTAL NETWORKS | anomalous diffusion | TIME CORRELATION | Models, Theoretical | Algorithms | Dextrans | Image Processing, Computer-Assisted | Humans | Fractals | Brain Mapping - methods | Cartilage, Articular - anatomy & histology | Diffusion Magnetic Resonance Imaging - methods | Cadaver | Index Medicus

Stretched exponential | Bloch–Torrey equation | Diffusion-weighted MRI | Fractional calculus | Anomalous diffusion | Bloch-Torrey equation | fractional calculus | HUMAN BRAIN | WATER COMPARTMENTS | BIOCHEMICAL RESEARCH METHODS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | stretched exponential | diffusion-weighted MRI | DEPENDENCE | STRANGE KINETICS | FIELD-GRADIENT SPECTROSCOPY | SPECTROSCOPY | NMR RELAXATION | RANDOM-WALK | MAGNETIC-RESONANCE | FRACTAL NETWORKS | anomalous diffusion | TIME CORRELATION | Models, Theoretical | Algorithms | Dextrans | Image Processing, Computer-Assisted | Humans | Fractals | Brain Mapping - methods | Cartilage, Articular - anatomy & histology | Diffusion Magnetic Resonance Imaging - methods | Cadaver | Index Medicus

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2016, Volume 171, Issue 1, pp. 90 - 120

The purpose of this paper is to study the dynamical behavior of the sequence produced by a Forward–Backward algorithm, involving two random maximal monotone...

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 | MATHEMATICS, APPLIED | SUM | CONVEX-OPTIMIZATION | EQUIVALENCE | INTEGRALS | SEMIGROUPS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Stochastic Forward-Backward algorithm | CONVERGENCE | HILBERT-SPACE | Algorithms | Studies | Operators | Integrals | Asymptotic properties | Inequalities | Stochasticity | Convergence

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 | MATHEMATICS, APPLIED | SUM | CONVEX-OPTIMIZATION | EQUIVALENCE | INTEGRALS | SEMIGROUPS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Stochastic Forward-Backward algorithm | CONVERGENCE | HILBERT-SPACE | Algorithms | Studies | Operators | Integrals | Asymptotic properties | Inequalities | Stochasticity | Convergence

Journal Article

2011, ISBN 0128053461, 84

Random Operator Theory provides a comprehensive discussion of the random norm of random bounded linear operators, also providing important random norms as...

Random operators | Mathematics

Random operators | Mathematics

eBook

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