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DTSTAMP:20250705T114057Z
DESCRIPTION:Integrability in out-of-equilibrium systems\n\nOut-of-equilibri
 um systems have nowadays an important role in 1d statistical physics. Alth
 ough an equilibrium state obviously doesn’t exist for such systems\, one l
 ooks for a steady state (that is stationary in time). It is defined as the
  zero-eigenvalue eigenstate of the Markov matrix that describe the evoluti
 on of the system. Its exact computation is at the core of many researches.
  In some cases\, the matrix product state ansatz (matrix ansatz for short)
  allows to compute this steady state. However no general approach for this
  ansatz is known. On the other hand\, many 1d statistical models appear to
  be integrable\, which allows to get eigenstates of the Markov matrix thro
 ugh Bethe ansatz. The goal of this presentation is to show how integrabili
 ty gives a natural framework to construct the matrix ansatz for 1d systems
  with boundaries. It can be done on very general grounds\, allowing to con
 struct the matrix ansatz when it is not known\, and also to define new mod
 els and/or to find boundary conditions ‘adapted’ to the model under consid
 eration. We will illustrate the technique on some examples.\n
DTSTART:20181002T193000Z
DTEND:20181002T203000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Éric Ragoucy\, LAPTh\, CNRS et USMB\, Annecy
URL:/mathstat/channels/event/eric-ragoucy-lapth-cnrs-e
 t-usmb-annecy-290198
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