Télécharger le livre :  Spectral Analysis of Growing Graphs
This book is designed as a concise introduction to the recent achievements on spectral analysis of graphs or networks from the point of view of quantum (or non-commutative) probability theory. The main topics are spectral distributions of the adjacency matrices of...

Editeur : Springer
Parution : 2017-02-17
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Random Matrix Theory with an External Source
This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random...

Editeur : Springer
Parution : 2017-01-11
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Reflected Brownian Motions in the KPZ Universality Class
This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1.This model belongs to the Kardar-Parisi-Zhang (KPZ)...

Editeur : Springer
Parution : 2016-12-16
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.In particular, the existence of fundamental...

Editeur : Springer
Parution : 2016-11-30
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  A Combinatorial Perspective on Quantum Field Theory
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field...

Editeur : Springer
Parution : 2016-11-23
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  The Limit Shape Problem for Ensembles of Young Diagrams
This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in...

Editeur : Springer
Parution : 2016-11-09
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  The Kadison-Singer Property
This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A...

Editeur : Springer
Parution : 2016-11-07
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Free Boundary Problems in PDEs and Particle Systems
In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class...

Editeur : Springer
Parution : 2016-06-22
Collection : SpringerBriefs in Mathematical Physics ePub

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Télécharger le livre :  Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model
The purpose of this book is to introduce two recent topics in mathematical physics and probability theory: the Schramm–Loewner evolution (SLE) and interacting particle systems related to random matrix theory. A typical example of the latter systems is Dyson's Brownian...

Editeur : Springer
Parution : 2016-02-08
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Quantum Computation with Topological Codes
This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum...

Editeur : Springer
Parution : 2015-12-15
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Effective Evolution Equations from Quantum Dynamics
These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrödinger dynamics in certain physically interesting regimes. The focus is primarily on the derivation of...

Editeur : Springer
Parution : 2015-11-04
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes
This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according to the Standard Model of Cosmology;...

Editeur : Springer
Parution : 2015-08-17
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Virtual Turning Points
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the...

Editeur : Springer
Parution : 2015-07-07
Collection : SpringerBriefs in Mathematical Physics PDF, ePub

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Télécharger le livre :  Formality Theory
This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main...

Editeur : Springer
Parution : 2014-09-04
Collection : SpringerBriefs in Mathematical Physics ePub

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Télécharger le livre :  Introduction to Supergravity
This book is a pedagogical introduction to supergravity, a gravitational field theory that includes supersymmetry (symmetry between bosons and fermions) and is a generalization of Einstein's general relativity. Supergravity provides a low-energy effective theory of...

Editeur : Springer
Parution : 2014-06-30
Collection : SpringerBriefs in Mathematical Physics ePub

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