Manfred Einsiedler - Böcker
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8 produkter
8 produkter
Del 259 - Graduate Texts in Mathematics
Ergodic Theory
with a view towards Number Theory
Inbunden, Engelska, 2010
641 kr
Skickas inom 10-15 vardagar
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits.Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
Del 259 - Graduate Texts in Mathematics
Ergodic Theory
with a view towards Number Theory
Häftad, Engelska, 2012
694 kr
Skickas inom 10-15 vardagar
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits.Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
Journey Through The Realm of Numbers
From Quadratic Equations to Quadratic Reciprocity
Häftad, Engelska, 2020
263 kr
Skickas inom 5-8 vardagar
This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory.
Del 2347 - Lecture Notes in Mathematics
Modern Aspects of Dynamical Systems
Cetraro, Italy 2021
Häftad, Engelska, 2024
747 kr
Skickas inom 10-15 vardagar
This book provides an overview of recent advances in the theory of dynamical systems, with a particular emphasis on their connections to other areas of mathematical research, including number theory, geometry, mathematical physics, complex analysis, and celestial mechanics. Compiling the lecture notes from some of the contributions presented at the C.I.M.E. school "Modern Aspects of Dynamical Systems" held in Cetraro in August 2021, the contributions are the following: “Homogeneous dynamics and Diophantine problems” by Manfred Einsiedler, “Effective ergodic theory for translation flow” by Giovanni Forni, “Integrability and rigidity for convex billiards” by Vadim Kaloshin, “Holomorphic dynamics” by Jasmin Raissy and “Exponentially small phenomena and its role in the dynamics” by Tere Martinez-Seara.These notes are suitable for graduate students and young researchers interested in an introduction to some of the modern research areas within the field of dynamical systems.
Del 308 - Graduate Texts in Mathematics
Unitary Representations and Unitary Duals
Inbunden, Engelska, 2025
799 kr
Skickas inom 10-15 vardagar
204 kr
Skickas inom 10-15 vardagar
Del 276 - Graduate Texts in Mathematics
Functional Analysis, Spectral Theory, and Applications
Inbunden, Engelska, 2017
1 049 kr
Skickas inom 10-15 vardagar
This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory.In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study.Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.
Del 276 - Graduate Texts in Mathematics
Functional Analysis, Spectral Theory, and Applications
Häftad, Engelska, 2018
641 kr
Skickas inom 10-15 vardagar
This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory.In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study.Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.