rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Applications of Random Matrices in Physics
  title info:
    title: Proceedings of the NATO Advanced Study Institute on Applications of Random Matrices in Physics, Les Houches, France, 6-25 June 2004
  name:
    name part: Brézin, Édouard.
    role:
      role term: editor.
  name:
    name part: Kazakov, Vladimir.
    role:
      role term: editor.
  name:
    name part: Serban, Didina.
    role:
      role term: editor.
  name:
    name part: Wiegmann, Paul.
    role:
      role term: editor.
  name:
    name part: Zabrodin, Anton.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ne
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 510 p. online resource.
  abstract: Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.
  table of contents: Preface -- Random Matrices and Number Theory. 1. Introduction. 2. () 3. Characteristic polynomials of random unitary matrices 4. Other compact groups. 5. Families of L-functions and Symmetry. 6. Asymptotic expansions. References -- 2D Quantum Gravity, Matrix Models and Graph Combinatorics. 1. Introduction. 2. Matrix models for 2D quantum gravity. The one-matrix model I: large N limit and the enumeration of planar graphs. 4. The trees behind the graphs. 5. The one-matrix model II: topological expansions and quantum gravity. 6. The combinatorics beyond matrix models: geodesic distance in planar graphs. 7. Planar graphs as spatial branching processes. 8. Conclusion -- Eigenvalue Dynamics, Follytons and Large N Limits of Matrices. References -- Random Matrices and Supersymmetry in Disordered Systems. Supersymmetry method. 2. Wave functions fluctuations in a finite volume. Multifractality. Recent and possible future developments. Summary. Acknowledgements. References -- Hydrodynamics of Correlated Systems. 1. Introduction. 2. Instanton or rare fluctuation method. 3. Hydrodynamic approach. 4. Linearized hydrodynamics or bosonization. 5. EFP through an asymptotics of the solution. 6. Free fermions. 7. Calogero-Sutherland model. 8. Free fermions on the lattice. 9. Conclusion. Acknowledgements. Appendix: Hydrodynamic approach to non-Galilean invariant systems. Appendix: Exact results for EFP in some integrable models. References -- QCD, Chiral Random Matrix Theory and Integrability. 1. Summary. 2. Introduction. 3. QCD. 4. The Dirac Spectrum in QCD. 5. Low Energy Limit of QCD. 6. Chiral RMT and the QCD Dirac Spectrum. 7. Integrability and the QCD Partition Function. 8. QCD at Finite Baryon Density. 9. Full QCD at Nonzero Chemical Potential. 10. Conclusions. Acknowledgements. References -- Euclidan Random Matrices: Solved and Open Problems. 1. Introduction. 2. Basic definitions. 3. Physical motivations. 4. Field theory. 5. The simplest case. 6. Phonnos. References -- Matrix Mo…
  note: edited by Édouard Brézin, Vladimir Kazakov, Didina Serban, Paul Wiegmann, Anton Zabrodin.
  subject:
    topic: Physics
  subject:
    topic: Probabilities
  subject:
    topic: Elementary particles (Physics)
  subject:
    topic: Quantum field theory
  subject:
    topic: Condensed matter
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Statistical Physics, Dynamical Systems and Complexity
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Condensed Matter Physics
  subject:
    topic: Elementary Particles, Quantum Field Theory
  classification: QC5.53
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: NATO Science Series II: Mathematics, Physics and Chemistry, 221
  identifier: 9781402045318
  identifier: http://dx.doi.org/10.1007/1-4020-4531-X
  record info:
    record creation date: 100301
    record change date: 20151204151135.0
    record identifier: 978-1-4020-4531-8