Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics – serie
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120 produkter
Simplicial and Dendroidal Homotopy Theory
Inbunden, 2022
341 kr
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This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with …
Mixed Hodge Structures
Av Chris A.M. Peters, Joseph H. M. Steenbrink
Inbunden, 2008
1534 kr
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The text of this book has its origins more than twenty- ve years ago. In the seminar of the Dutch Singularity Theory project in 1982 and 1983, the second-named author gave a series of lectures on Mixed Hodge Structures and Singularities, accompanied by a set of hand-written notes. The publication …
Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
A Functional Approach
Häftad, 2019
1425 kr
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The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of …
Profinite Graphs and Groups
Av Luis Ribes
Häftad, 2018
667 kr
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This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject.The author begins by carefully developing relevant notions in topology, profinite groups and homology, …
Brauer–Grothendieck Group
Av Jean-Louis Colliot-Thélène, Alexei N. Skorobogatov
Inbunden, 2021
1425 kr
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This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry …
Polyfold and Fredholm Theory
Av Helmut Hofer, Krzysztof Wysocki m. fl.
Inbunden, 2021
2407 kr
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This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical …
Canard Cycles
From Birth to Transition
Av Peter De Maesschalck, Freddy Dumortier m. fl.
Inbunden, 2021
1425 kr
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This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of slow-fast families of two-dimensional vector fields. The central question of controlling the limit cycles …
Canard Cycles
From Birth to Transition
Av Peter De Maesschalck, Freddy Dumortier m. fl.
Häftad, 2022
1425 kr
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This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of slow-fast families of two-dimensional vector fields. The central question of controlling the limit cycles …
Upper and Lower Bounds for Stochastic Processes
Decomposition Theorems
Inbunden, 2021
1753 kr
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This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the …
Normal Surface Singularities
Inbunden, 2022
607 kr
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This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology. In this way, it unites the analytic approach with the more recent topological one, combining their tools and methods.In the …
Field Arithmetic
Av Michael D. Fried, Moshe Jarden
Inbunden, 2023
2516 kr
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This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems. The first part covers foundational material on infinite Galois theory, profinite groups, algebraic function fields in one variable and plane curves. It provides complete and …
Field Arithmetic
Av Michael D. Fried, Moshe Jarden
Häftad, 2024
2516 kr
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This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems. The first part covers foundational material on infinite Galois theory, profinite groups, algebraic function fields in one variable and plane curves. It provides complete and …
Analysis in Banach Spaces
Volume III: Harmonic Analysis and Spectral Theory
Av Tuomas Hytönen, Jan van Neerven m. fl.
Inbunden, 2023
1643 kr
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This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and …
Analysis in Banach Spaces
Volume III: Harmonic Analysis and Spectral Theory
Av Tuomas Hytönen, Jan van Neerven m. fl.
Häftad, 2024
1643 kr
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This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and …
Infinite Group Actions on Polyhedra
Inbunden, 2024
1425 kr
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In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of …
Isomorphism Conjectures in K- and L-Theory
Inbunden, 2025
3062 kr
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This monograph is devoted to the Isomorphism Conjectures formulated by Baum and Connes, and by Farrell and Jones. These conjectures are central to the study of the topological K-theory of reduced group C*-algebras and the algebraic K- and L-theory of group rings. They have far-reaching applications …
Towards the Mathematics of Quantum Field Theory
Inbunden, 2014
1862 kr
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This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the …
Rigid Geometry of Curves and Their Jacobians
Inbunden, 2016
1534 kr
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This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation …
Towards the Mathematics of Quantum Field Theory
Häftad, 2016
1862 kr
Lägg i varukorg
This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the …
Random Walks on Reductive Groups
Av Yves Benoist, Jean-François Quint
Inbunden, 2016
1534 kr
Lägg i varukorg
The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients.Under the …
Analysis in Banach Spaces
Volume I: Martingales and Littlewood-Paley Theory
Av Tuomas Hytönen, Jan van Neerven m. fl.
Inbunden, 2016
1971 kr
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The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in …
Periods and Nori Motives
Av Annette Huber, Stefan Müller-Stach
Inbunden, 2017
923 kr
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This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to …
Information Geometry
Av Nihat Ay, Jürgen Jost m. fl.
Inbunden, 2017
1753 kr
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The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental …
Profinite Graphs and Groups
Av Luis Ribes
Inbunden, 2017
878 kr
Lägg i varukorg
This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject.The author begins by carefully developing relevant notions in topology, profinite groups and homology, …
Stein Manifolds and Holomorphic Mappings
The Homotopy Principle in Complex Analysis
Inbunden, 2017
1164 kr
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This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds.Oka theory is the field of complex analysis dealing with global problems on Stein …
Analysis in Banach Spaces
Volume II: Probabilistic Methods and Operator Theory
Av Tuomas Hytönen, Jan van Neerven m. fl.
Inbunden, 2018
1971 kr
Lägg i varukorg
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two …
Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
A Functional Approach
Inbunden, 2018
1425 kr
Lägg i varukorg
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of …
Rigid Geometry of Curves and Their Jacobians
Häftad, 2018
1534 kr
Lägg i varukorg
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation …
Random Walks on Reductive Groups
Av Yves Benoist, Jean-François Quint
Häftad, 2018
1534 kr
Lägg i varukorg
The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients.Under the …
Analysis in Banach Spaces
Volume I: Martingales and Littlewood-Paley Theory
Av Tuomas Hytönen, Jan van Neerven m. fl.
Häftad, 2018
1971 kr
Lägg i varukorg
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in …
