Télécharger le livre :  Erdélyi–Kober Fractional Calculus
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This book focuses on Erdélyi–Kober fractional calculus from a statistical perspective inspired by solar neutrino physics. Results of diffusion entropy analysis and standard deviation analysis of data from the Super-Kamiokande solar neutrino experiment lead to the...

Editeur : Springer
Parution : 2018-09-06
Collection : SpringerBriefs in Mathematical Physics
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52,99
Télécharger le livre :  Volume Conjecture for Knots
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The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement. Here the colored Jones polynomial is a generalization of the celebrated Jones polynomial and is...

Editeur : Springer
Parution : 2018-08-15
Collection : SpringerBriefs in Mathematical Physics
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74,19
Télécharger le livre :  Reflection Positivity
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Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.This book provides the first presentation of the representation theoretic...

Editeur : Springer
Parution : 2018-06-28
Collection : SpringerBriefs in Mathematical Physics
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58,29
Télécharger le livre :  Approximate Quantum Markov Chains
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This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality...

Editeur : Springer
Parution : 2018-04-20
Collection : SpringerBriefs in Mathematical Physics
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52,99
Télécharger le livre :  Classical Mirror Symmetry
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This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov–Witten invariants of a Calabi–Yau threefold by using the Picard–Fuchs differential equation of period integrals of its mirror Calabi–Yau threefold....

Editeur : Springer
Parution : 2018-04-18
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Introduction to Random Matrices
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Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and hands-on...

Editeur : Springer
Parution : 2018-01-16
Collection : SpringerBriefs in Mathematical Physics
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74,19
Télécharger le livre :  Schramm–Loewner Evolution
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This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis. The connection to statistical physics is also developed in the...

Editeur : Springer
Parution : 2017-12-22
Collection : SpringerBriefs in Mathematical Physics
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79,49
Télécharger le livre :  Hadamard States from Light-like Hypersurfaces
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This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary. The first two sections focus on explaining a few introductory aspects...

Editeur : Springer
Parution : 2017-09-27
Collection : SpringerBriefs in Mathematical Physics
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52,99
Télécharger le livre :  Linear Response Theory
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This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new...

Editeur : Springer
Parution : 2017-06-21
Collection : SpringerBriefs in Mathematical Physics
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63,59
Télécharger le livre :  KP Solitons and the Grassmannians
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This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics...

Editeur : Springer
Parution : 2017-03-24
Collection : SpringerBriefs in Mathematical Physics
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74,19
Télécharger le livre :  A Computational Non-commutative Geometry Program for Disordered Topological Insulators
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This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for...

Editeur : Springer
Parution : 2017-03-17
Collection : SpringerBriefs in Mathematical Physics
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58,29
Télécharger le livre :  Spectral Analysis of Growing Graphs
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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
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74,19
Télécharger le livre :  Random Matrix Theory with an External Source
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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
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63,59
Télécharger le livre :  Reflected Brownian Motions in the KPZ Universality Class
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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
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63,59
Télécharger le livre :  Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
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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
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52,99
Télécharger le livre :  A Combinatorial Perspective on Quantum Field Theory
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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
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63,59
Télécharger le livre :  The Limit Shape Problem for Ensembles of Young Diagrams
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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
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52,99
Télécharger le livre :  The Kadison-Singer Property
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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
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52,99
Télécharger le livre :  Free Boundary Problems in PDEs and Particle Systems
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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
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52,99
Télécharger le livre :  Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model
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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
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63,59
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