Lecture Notes of the Unione Matematica Italiana – serie
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32 produkter
Quantum Physics and Geometry
Av Edoardo Ballico, Alessandra Bernardi m. fl.
Häftad, 2019
661 kr
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This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics. Making intense use of the most advanced concepts from each discipline, the authors give in each …
Birational Geometry of Hypersurfaces
Gargnano del Garda, Italy, 2018
Av Andreas Hochenegger, Manfred Lehn m. fl.
Häftad, 2019
989 kr
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Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results. The …
Ideals of Powers and Powers of Ideals
Intersecting Algebra, Geometry, and Combinatorics
Av Enrico Carlini, Huy Tài Hà m. fl.
Häftad, 2020
825 kr
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This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and …
Regularity of the One-phase Free Boundaries
Häftad, 2023
302 kr
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This open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive …
Introduction to Inverse Problems for Evolution Equations
Stability and Uniqueness by Carleman Estimates
Häftad, 2025
1207 kr
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Among several main formulations, the book treats inverse problems with single measurements by Carleman estimates and describes a method for proving the uniqueness and the stability for the first-order transport equations, parabolic equations, and hyperbolic equations. The book gives self-contained …
One-Dimensional Dynamics
From Poincaré to renormalization
Av Yiheng Dong, Marco Martens m. fl.
Häftad, 2025
1643 kr
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The aim of the book is to give an introduction to the main concepts in modern dynamics. The Herman Theorem on rigidity of circle diffeomoprhisms is used to achieve this goal. Indeed, we reprove this sophisticated theorem with modern techniques involving renormalization and, in the meantime, discuss …
Varieties of Nodal Surfaces, Coding Theory and Discriminants of Cubic Hypersurfaces
Häftad, 2026
1644 kr
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This research book deals with some classical problems of algebraic geometry, notably the problem about the maximal number of singularities that a nodal variety can have, and the problem about the description of the components of the Severi varieties of nodal surfaces. A complete solution is found …
Classification of Hyperelliptic Groups in Dimension 4
Häftad, 2026
1342 kr
Kommande
This book explores the geometry of hyperelliptic manifolds, a higher-dimensional generalization of classical hyperelliptic surfaces. Hyperelliptic surfaces, historically classified by Enriques, Severi, and Bagnera-de Franchis, are compact complex surfaces with Kodaira dimension zero, geometric …
Homological Mirror Symmetry and Tropical Geometry
Av Ricardo Castano-Bernard, Fabrizio Catanese m. fl.
Häftad, 2014
1207 kr
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The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the …
Elementary Symplectic Topology and Mechanics
Häftad, 2014
660 kr
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This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the …
Evolution Equations of von Karman Type
Av Pascal Cherrier, Albert Milani
Häftad, 2015
498 kr
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In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and …
On the Geometry of Some Special Projective Varieties
Häftad, 2016
880 kr
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Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and …
Elliptic Regularity Theory
A First Course
Av Lisa Beck
Häftad, 2016
341 kr
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These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to …
Nonlocal Diffusion and Applications
Av Claudia Bucur, Enrico Valdinoci
Häftad, 2016
714 kr
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Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and …
Moduli of Curves
CIMAT Guanajuato, Mexico 2016
Av Leticia Brambila Paz, Ciro Ciliberto m. fl.
Häftad, 2017
771 kr
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Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find …
Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes
Av Michel Bercovier, Tanya Matskewich
Häftad, 2017
607 kr
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Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM). The recent explosion of IgA, strongly tying Computer Aided Geometry Design to Analysis, does not …
Kähler Immersions of Kähler Manifolds into Complex Space Forms
Häftad, 2018
497 kr
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The aim of this book is to describe Calabi's original work on Kähler immersions of Kähler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems. Calabi's pioneering work, making use of the powerful tool of the …
Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle
Av Massimiliano Berti, Jean-Marc Delort
Häftad, 2018
497 kr
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The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the …
Introduction to Navier-Stokes Equation and Oceanography
Av Luc Tartar
Häftad, 2006
498 kr
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In the spring of 1999, I taught (at CARNEGIEMELLON University) a graduate course entitled Partial Di?erential Equations Models in Oceanography, and I wrote lecture notes which I distributed to the students; these notes were then made available on the Internet, and they were distributed to the …
Topics on Concentration Phenomena and Problems with Multiple Scales
Av Andrea Braides, Valeria Chiadò Piat
Häftad, 2006
552 kr
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The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the …
Introduction to Sobolev Spaces and Interpolation Spaces
Av Luc Tartar
Häftad, 2007
989 kr
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After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author …
Mean Oscillations and Equimeasurable Rearrangements of Functions
Häftad, 2007
388 kr
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This volume considers various applications of equimeasurable function rearrangements to the "best constant"-type problems. It presents several classical theorems along with some very recent results. Coverage includes a product-space extension of the Rising Sun lemma, a product-space version of the …
Transport Equations and Multi-D Hyperbolic Conservation Laws
Av Luigi Ambrosio, Gianluca Crippa m. fl.
Häftad, 2008
388 kr
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The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This volume provides an up-to-date overview of the status and …
From Hyperbolic Systems to Kinetic Theory
A Personalized Quest
Av Luc Tartar
Häftad, 2008
552 kr
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Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversible Hamiltonian framework? By using probabilities, which destroy physical …
General Theory of Homogenization
A Personalized Introduction
Av Luc Tartar
Häftad, 2009
1098 kr
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Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses …
Zeta Functions over Zeros of Zeta Functions
Av André Voros
Häftad, 2009
388 kr
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In the Riemann zeta function ?(s), the non-real zeros or Riemann zeros, denoted ?, play an essential role mainly in number theory, and thereby g- erate considerable interest. However, they are very elusive objects. Thus, no individual zero has an analytically known location; and the Riemann - …
Hilbert Functions of Filtered Modules
Av Maria Evelina Rossi, Giuseppe Valla
Häftad, 2010
388 kr
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Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered module over a local ring.Starting from the …
Hyperfinite Dirichlet Forms and Stochastic Processes
Av Sergio Albeverio, Ruzong Fan m. fl.
Häftad, 2011
497 kr
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This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "nonstandard analysis." Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study …
Convolution Operators on Groups
Häftad, 2011
388 kr
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This volume is devoted to a systematic study of the Banach algebra of the convolution operators of a locally compact group. Inspired by classical Fourier analysis we consider operators on Lp spaces, arriving at a description of these operators and Lp versions of the theorems of Wiener and …
Harmonic Functions and Potentials on Finite or Infinite Networks
Häftad, 2011
388 kr
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Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) …
