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@ARTICLE{Pedro:320228,
      author       = {Pedro, Francisco Gil and Westphal, Alexander},
      title        = {{N}onequilibrium random matrix theory: {T}ransition
                      probabilities},
      journal      = {Physical review / E},
      volume       = {95},
      number       = {3},
      issn         = {2470-0045},
      address      = {Woodbury, NY},
      publisher    = {APS},
      reportid     = {PUBDB-2017-01596, DESY-16-104. IFT-UAM-CSIC-16-053.
                      arXiv:1606.07768},
      pages        = {032144},
      year         = {2017},
      note         = {REVTeX, 5 pages, 2 figures},
      abstract     = {In this paper we present an analytic method for calculating
                      the transition probability between two random Gaussian
                      matrices with given eigenvalue spectra in the context of
                      Dyson Brownian motion. We show that in the Coulomb gas
                      language, in large N limit, memory of the initial state is
                      preserved in the form of a universal linear potential acting
                      on the eigenvalues. We compute the likelihood of any given
                      transition as a function of time, showing that as memory of
                      the initial state is lost, transition probabilities converge
                      to those of the static ensemble.},
      keywords     = {matrix model: random (INSPIRE) / potential: linear
                      (INSPIRE) / gas: Coulomb (INSPIRE) / initial state (INSPIRE)
                      / expansion 1/N (INSPIRE) / time dependence (INSPIRE) /
                      Brownian motion (INSPIRE)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) / SPLE -
                      String Phenomenology in the LHC Era (320421) / STRINGFLATION
                      - Inflation in String Theory - Connecting Quantum Gravity
                      with Observations (647995)},
      pid          = {G:(DE-HGF)POF3-611 / G:(EU-Grant)320421 /
                      G:(EU-Grant)647995},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)29 / PUB:(DE-HGF)16},
      UT           = {WOS:000399148000005},
      pubmed       = {pmid:28415253},
      eprint       = {1606.07768},
      howpublished = {arXiv:1606.07768},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1606.07768;\%\%$},
      doi          = {10.1103/PhysRevE.95.032144},
      url          = {https://bib-pubdb1.desy.de/record/320228},
}