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  • An Introduction to Stochastic Processes

    An Introduction to Stochastic Processes provides a clear and rigorous introduction to the theory and applications of stochastic processes. The book begins with an introductory chapter that reviews essential probability tools, including computing by conditioning and the law of large numbers, while introducing classical processes such as random walks, gambler's ruin, and branching processes. Key ... Read more

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  • Stochastic Analysis and Related Topics

    A Festschrift in Honor of Rodrigo Bañuelos

    Series series Springer Nature Proceedings excluding Computer Science
    The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Bañuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential ... Read more

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  • Convergence of One-Parameter Operator Semigroups

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    Series Book 30 - New Mathematical Monographs
    This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications ... Read more

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    The main aim of this bookis to present recent results concerning inequalities of the Jensen, Čebyšev and Grüss type for continuous functions of bounded selfadjoint operators on complex Hilbert spaces.In the introductory chapter, the author portrays fundamental facts concerning bounded selfadjoint operators on complex Hilbert spaces. The generalized Schwarz’s inequality for positive selfadjoint ... Read more

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  • From Particle Systems to Partial Differential Equations

    Particle Systems and PDEs, Braga, Portugal, December 2012

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