Lecture Notes in Mathematics

Ansicht: 16 Einträge

Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam
A Trace Formula for Foliated Flows

Lecture Notes in Mathematics - Band 2387

This book presents a new Lefschetz trace formula for a foliated flow on a compact foliated manifold with a foliation of codimension one. The leaves preserved by the flow and its closed orbits are assumed …

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Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
An Invitation to Alexandrov Geometry: CAT(0) Spaces

Lecture Notes in Mathematics - Band 2395

This volume discusses CAT(0) spaces -- metric spaces with nonpositive curvature in the sense of Alexandrov -- which may be viewed as a non-linear generalization of Hilbert spaces. The book showcases the b…

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Steve Awodey
Cartesian Cubical Model Categories

Lecture Notes in Mathematics - Band 2385

This book introduces the category of Cartesian cubical sets and endows it with a Quillen model structure using ideas coming from Homotopy type theory. In particular, recent constructions of cubical system…

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W¿adys¿aw Wilczy¿ski
Convergence in Measure and in Category

Lecture Notes in Mathematics - Band 2394

This book exhibits a vast gamut of similarities and differences between measure and (Baire) category. An important similarity is the Sierpiski--Erds duality theorem: assuming the Continuum Hypothesis, the…

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Alexandru Buium, Adrian Vasiu
Delta-Invariant Theory for Hecke Correspondences

Lecture Notes in Mathematics - Band 2396

This book provides an introduction to the new field of δ-geometry and its applications to the construction of certain quotient spaces that cannot be approached within usual algebraic geometry, specificall…

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Ercília Sousa
Finite Difference Methods for Fractional Diffusion Equations

Lecture Notes in Mathematics - Band 2389

This book provides a self-contained introduction to finite difference methods for time-dependent space-fractional diffusion equations, emphasizing their theoretical properties and practical computational …

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Yves Martinez-Maure
Hedgehog Theory

Lecture Notes in Mathematics - Band 2381

This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies. This extension of conv…

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Anna Weller
Numerical Methods for Metric Graphs

Lecture Notes in Mathematics - Band 2382

This book discusses the fundamentals of the numerics of parabolic partial differential equations posed on network structures interpreted as metric spaces. These so-called metric graphs frequently occur in…

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Mustapha Mokhtar-Kharroubi
Peripheral Spectra of Perturbed Positive Semigroups

Lecture Notes in Mathematics - Band 2388

This monograph provides new functional analytic developments on spectral problems in various applied fields such as jump equations, Kolmogorov differential equations, weighted graphs, neutron transport th…

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Aktueller Preis: EUR 87,60

Zakhar Kabluchko, David Albert Steigenberger, Christoph Thäle
Random Simplices

Lecture Notes in Mathematics - Band 2383

This book provides an introduction to the theory of random beta-type simplices and polytopes, exploring their connections to key research areas in stochastic and convex geometry. The random points definin…

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Jean Michel Rakotoson
Relative Rearrangement

Lecture Notes in Mathematics - Band 2376

This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone rearra…

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Clarence Kineider, Georgios Kydonakis, Eugen Rogozinnikov, Valdo Tatitscheff
Spectral Networks

Lecture Notes in Mathematics - Band 2386

This open access book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the foundationa…

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Ian G. Macdonald, Anne-Marie Aubert
Spherical Functions on a Group of p-adic Type

Lecture Notes in Mathematics - Band 2392

This is a new, updated edition of a foundational text on the representation theory of p-adic groups. The book develops the theory of spherical functions for reductive groups defined over nonarchimedean lo…

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Christophe Breuil, Zicheng Qian
Splitting and Making Explicit the de Rham Complex of the Drinfeld Space

Lecture Notes in Mathematics - Band 2397

This book gives a complete description of the de Rham complex of the Drinfeld space of dimension n − 1 as a complex of representations of GL~n~(K), where n ≥ 2 and K is a finite field extension of the fie…

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Mirela Kohr, Sergey E. Mikhailov, Victor Nistor, Wolfgang L. Wendland
Stationary Stokes and Navier-Stokes Equations with Variable Coefficients

Lecture Notes in Mathematics - Band 2380

This monograph provides a rigorous analysis of a wide range of stationary (steady state) boundary value problems for elliptic systems of Stokes and Navier-Stokes type, as encountered in fluid dynamics. Ad…

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Aktueller Preis: EUR 153,32

Claus Hertling, Khadija Larabi
Triangular Bases of Unimodular Bilinear Lattices and Induced Structures

Lecture Notes in Mathematics - Band 2398

This monograph presents a structured and conceptually unified study of upper triangular integer matrices and the rich family of structures they induce. Central objects include unimodular bilinear lattices…

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