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SUMMARY:The Finite Groups of Random Walks in the Quarter Plane and Periodi
 c 4-bar Links (Les groupes finis de marches aléatoires dans un quart de p
 lan et les quadrilatères articulés périodiques)
DTSTART:20261001T123000Z
DTEND:20261001T143000Z
DTSTAMP:20261015T122600Z
UID:indico-event-3408@indico.obspm.fr
CONTACT:Alain.Albouy@obspm.fr\;2126
DESCRIPTION:Speakers: Vladimir Dragovic (U. of Texas\, Dallas)\n\nWe prese
 nt our solutions to two long standing open problems\, the first one from p
 robability theory\, formulated by Malyshev in 1970 and the second one from
  a crossroad of geometry and dynamics\, posed by Darboux in 1879. The Maly
 shev problem is of finding effective\, explicit necessary and sufficient c
 onditions in the closed form to characterize all random walks in the quart
 er plane with the group of the random walk of order 2n\, for all n ≥ 2. 
 The previously known results covered the cases n=2\, 3\, and 4. We describ
 e all n-periodic Darboux transformations for 4-bar link problems for all n
  ≥ 2\, thus completely solving the Darboux problem\, that he solved for 
 n = 2 in 1879. This is based on a joint work with Milena Radnovic (arXiv: 
 2512:21976).\n\nhttps://indico.obspm.fr/event/3408/
LOCATION:Salle du conseil (PARIS)
URL:https://indico.obspm.fr/event/3408/
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