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Brownian Motion And Potential Theory, Modern And Classical

Af: Murali Rao, James Tian, Palle Jorgensen Engelsk Hardback

Brownian Motion And Potential Theory, Modern And Classical

Af: Murali Rao, James Tian, Palle Jorgensen Engelsk Hardback
Tjek vores konkurrenters priser
In this book, potential theory is presented in an inclusive and accessible manner, with the emphasis reaching from classical to modern, from analytic to probabilistic, and from Newtonian to abstract or axiomatic potential theory (including Dirichlet spaces). The reader is guided through stochastic analysis featuring Brownian motion in its early chapters to potential theory in its latter sections. This path covers the following themes: martingales, diffusion processes, semigroups and potential operators, analysis of super harmonic functions, Dirichlet problems, balayage, boundaries, and Green functions.The wide range of applications encompasses random walk models, especially reversible Markov processes, and statistical inference in machine learning models. However, the present volume considers the analysis from the point of view of function space theory, using Dirchlet energy as an inner product. This present volume is an expanded and revised version of an original set of lectures in the Aarhus University Mathematics Institute Lecture Note Series.
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In this book, potential theory is presented in an inclusive and accessible manner, with the emphasis reaching from classical to modern, from analytic to probabilistic, and from Newtonian to abstract or axiomatic potential theory (including Dirichlet spaces). The reader is guided through stochastic analysis featuring Brownian motion in its early chapters to potential theory in its latter sections. This path covers the following themes: martingales, diffusion processes, semigroups and potential operators, analysis of super harmonic functions, Dirichlet problems, balayage, boundaries, and Green functions.The wide range of applications encompasses random walk models, especially reversible Markov processes, and statistical inference in machine learning models. However, the present volume considers the analysis from the point of view of function space theory, using Dirchlet energy as an inner product. This present volume is an expanded and revised version of an original set of lectures in the Aarhus University Mathematics Institute Lecture Note Series.
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Produktdetaljer
Sprog: Engelsk
Sider: 260
ISBN-13: 9789811294310
Indbinding: Hardback
Udgave:
ISBN-10: 9811294313
Kategori: Kompleks analyse, komplekse variabler
Udg. Dato: 15 nov 2024
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 15 nov 2024
Forfatter(e): Murali Rao, James Tian, Palle Jorgensen
Forfatter(e) Murali Rao, James Tian, Palle Jorgensen

Kategori Kompleks analyse, komplekse variabler

ISBN-13 9789811294310

Sprog Engelsk

Indbinding Hardback

Sider 260

Udgave

Længde 0mm

Bredde 0mm

Højde 0mm

Udg. Dato 15 nov 2024

Oplagsdato 15 nov 2024

Forlag World Scientific Publishing Co Pte Ltd

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