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Found 38 from your keywords: subject="Stochastic"
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The Parabolic Anderson Model
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Wolfgang König

This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, vari…

Edition
1
ISBN/ISSN
978-3-319-33596-4
Collation
-
Series Title
Pathways in Mathematics
Call Number
XI, 192, 4 b/w illustrations
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cover
A Guide to First-Passage Processes
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REDNER, Sidney

First-passage properties underlie a wide range of stochastic processes, such as diffusion-limited growth, neuron firing and the triggering of stock options. This book provides a unified presentation of first-passage processes, which highlights its interrelations with electrostatics and the resulting powerful consequences. The author begins with a presentation of fundamental theory including the…

Edition
Ed. 1
ISBN/ISSN
9780511606014
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Representation Theory of Finite Monoids
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STEINBERG, Benjamin

This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automa…

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Renewal Theory for Perturbed Random Walks and Similar Processes
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IKSANOV, Alexander

This book offers a detailed review of perturbed random walks, perpetuities, and random processes with immigration. Being of major importance in modern probability theory, both theoretical and applied, these objects have been used to model various phenomena in the natural sciences as well as in insurance and finance. The book also presents the many significant results and efficient techniques an…

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Approximation Methods in Probability Theory
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Čekanavičius, Vydas

This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textb…

Edition
Ed. 1
ISBN/ISSN
978-3-319-34072-2
Collation
XII, 274
Series Title
Universitext
Call Number
519.2 CEK a
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Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Non…
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Chekroun, Mickaël D.LIU, HonghuWANG, Shouhong

This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated wit…

Edition
Ed. 1
ISBN/ISSN
978-3-319-12496-4
Collation
XV, 127
Series Title
SpringerBriefs in Mathematics
Call Number
519 CHE a
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Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching …
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MYTNIK, LeonidWACHTEL, Vitali

This is the only book discussing multifractal properties of densities of stable superprocesses, containing latest achievements while also giving the reader a comprehensive picture of the state of the art in this area. It is a self-contained presentation of regularity properties of stable superprocesses and proofs of main results and can serve as an introductory text for a graduate course. There…

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Uncertainty Theory
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LIU, Baoding

When no samples are available to estimate a probability distribution, we have to invite some domain experts to evaluate the belief degree that each event will happen. Perhaps some people think that the belief degree should be modeled by subjective probability or fuzzy set theory. However, it is usually inappropriate because both of them may lead to counterintuitive results in this case. In o…

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ISBN/ISSN
978-3-662-44354-5
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Uncertainty The Soul of Modeling, Probability & Statistics
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BRIGGS, William

This book presents a philosophical approach to probability and probabilistic thinking, considering the underpinnings of probabilistic reasoning and modeling, which effectively underlie everything in data science. The ultimate goal is to call into question many standard tenets and lay the philosophical and probabilistic groundwork and infrastructure for statistical modeling. It is the first book…

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ISBN/ISSN
978-3-319-39756-6
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cover
Introduction to Probability with Statistical Applications
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Géza Schay

Now in its second edition, this textbook serves as an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and commo…

Edition
1
ISBN/ISSN
978-3-319-30620-9
Collation
XII, 385, 49 b/w illustrations
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-
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-
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