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Publications of the Scuola Normale Superiore

Publications of the Scuola Normale Superiore

CRM Series

25 Jahrgänge | 2011 - 2018

Beschreibung

The Scuola Normale Superiore (SNS) in Pisa, Italy has a long-standing publishing tradition besides teaching and research activities. Motivated by courses at the SNS, this series collects moderately priced textbooks, lecture notes, monographs, selections, and outstanding theses which have been prepared for a wider audience.

Alle Unterreihen der Reihe Publications of the Scuola Normale Superiore

15.03.2017 | Buchreihe

Lecture Notes (Scuola Normale Superiore)

Lecture Notes (Scuola Normale Superiore)

07.10.2016 | Buchreihe

Quaderni

Quaderni

28.04.2016 | Buchreihe

Tesi / Theses

Tesi / Theses

Alle Bücher der Reihe Publications of the Scuola Normale Superiore

2018 | Buch

Lectures on Elliptic Partial Differential Equations

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations …

2017 | Buch

Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations

with Applications to the Vlasov-Poisson and Semigeostrophic Systems

The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in the …

2016 | Buch

Free Discontinuity Problems

2015 | Buch

Colloquium De Giorgi 2013 and 2014

​Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduat

2015 | Buch

Existence and Regularity Results for Some Shape Optimization Problems

​We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into ac

2014 | Buch

Introduction to Stochastic Analysis and Malliavin Calculus

This volume presents an introductory course on differential stochastic equations and Malliavin calculus. The material of the book has grown out of a series of courses delivered at the Scuola Normale Superiore di Pisa (and also at the Trento and Funch

2014 | Buch

Introductory Notes on Valuation Rings and Function Fields in One Variable

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their

2014 | Buch

Lecture Notes on Diophantine Analysis

These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern dio

2014 | Buch

On Some Applications of Diophantine Approximations

a translation of Carl Ludwig Siegel’s Über einige Anwendungen diophantischer Approximationen by Clemens Fuchs, with a commentary and the article Integral points on curves: Siegel’s theorem after Siegel’s proof by Clemens Fuchs and Umberto Zannier

This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine

2014 | Buch

Geometric Measure Theory and Real Analysis

In 2013, a school on Geometric Measure Theory and Real Analysis, organized by G. Alberti, C. De Lellis and myself, took place at the Centro De Giorgi in Pisa, with lectures by V. Bogachev, R. Monti, E. Spadaro and D. Vittone.

The book collects

2014 | Buch

Geometry, Structure and Randomness in Combinatorics

​This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include: graph representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.

2013 | Buch

Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations

The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most i

2013 | Buch

Colloquium De Giorgi 2010–2012

Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduate

2013 | Buch

Regularity of Optimal Transport Maps and Applications

In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier’ theorem on existence of o

2013 | Buch

Geometric Partial Differential Equations proceedings

This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometri

2013 | Buch

The Seventh European Conference on Combinatorics, Graph Theory and Applications

EuroComb 2013

In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including appli

2012 | Buch

Colloquium De Giorgi 2009

Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduate

2012 | Buch

Topics in Modern Regularity Theory

This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner

2012 | Buch

Configuration Spaces

Geometry, Combinatorics and Topology

These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of conf

2012 | Buch

An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs

This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 i