£59.36

The Mother Body Phase Transition in the Normal Matrix Model (Memoirs of the American Mathematical Society)

Mathematical

Price data last checked 25 day(s) ago - will refresh soon

View at Amazon

Price History & Forecast

Last 66 days • 66 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 66 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £55 (37 days, 56.1%)

Price range: £55 - £59

Price levels: 2 different prices over 66 days

Description

About the Author Pavel M. Bleher, Indiana University-Purdue University, Indianapolis, IN, USA.Guilherme L. F. Silva, Katholieke Universiteit Leuven, Belgium. Product Description The normal matrix model with algebraic potential has gained a lot of attention recently, partially in virtue of its connection to several other topics as quadrature domains, inverse potential problems and the Laplacian growth. In this present paper the authors consider the normal matrix model with cubic plus linear potential. In order to regularize the model, they follow Elbau & Felder and introduce a cut-off. In the large size limit, the eigenvalues of the model accumulate uniformly within a certain domain $\Omega$ that they determine explicitly by finding the rational parametrization of its boundary.The authors also study in detail the mother body problem associated to $\Omega$. It turns out that the mother body measure $\mu_*$ displays a novel phase transition that we call the mother body phase transition: although $\partial \Omega$ evolves analytically, the mother body measure undergoes a ``one-cut to three-cut'' phase transition.

Product Specifications

Format: paperback
ASIN: 1470441845
Category: Books > Subjects > Science, Nature & Maths > Physics > Mathematical
Domain: Amazon UK
Release Date: 30 June 2020
Listed Since: 04 May 2020

Barcode

No barcode data available

The Mother Body Phase Transition in the Normal Matrix Model (Memoirs of the American Mathematical Society)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Cohomological Analysis of Partial Differential Equations and Secondary Calculus (Translations of Mathematical Monographs)

The Riesz Transform of Codimension Smaller Than One and the Wolff Energy (Memoirs of the American Mathematical Society)

Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume (Trends in Mathematics)

The Geometrical Study of Differential Equations (Contemporary Mathematics)

Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications)

Vector-valued Laplace Transforms and Cauchy Problems: Second Edition: 96 (Monographs in Mathematics, 96)

Differential Equations: A Dynamical Systems Approach to Theory and Practice: 212 (Graduate Studies in Mathematics)

Advances in Harmonic Analysis and Partial Differential Equations (Trends in Mathematics)

2019-20 MATRIX Annals: 4 (MATRIX Book Series, 4)

Normal Forms and Bifurcation of Planar Vector Fields

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes: 274 (Operator Theory: Advances and Applications, 274)

Lagrangian Reduction by Stages (Memoirs of the American Mathematical Society)

Contemporary Research in Elliptic PDEs and Related Topics: 33 (Springer INdAM Series, 33)

Nonlinear Diffusion Equations and Their Equilibrium States I: Proceedings of a Microprogram held August 25–September 12, 1986 (Mathematical Sciences Research Institute Publications, 12)

XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations: A Volume Dedicated to Heinz Langer: 263 (Operator Theory: Advances and Applications, 263)

Mathematical Analysis and its Applications: Roorkee, India, December 2014: 143 (Springer Proceedings in Mathematics & Statistics, 143)

High-dimensional Partial Differential Equations in Science and Engineering (CRM Proceedings & Lecture Notes)

Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator ... Monographs and Research Notes in Mathematics)

The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators: 253 (Operator Theory: Advances and Applications, 253)

Integrable Hamiltonian Systems: Geometry, Topology, Classification

Foundations of Algebraic Analysis (PMS-37), Volume 37 (Princeton Mathematical Series)

Singular Integrals in Quantum Euclidean Spaces: 272 (Memoirs of the American Mathematical Society)

Collected Papers (Springer Collected Works in Mathematics)