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SUMMARY:Jan Boroński
DTSTART:20210122T091500Z
DTEND:20210122T104500Z
DTSTAMP:20260423T021902Z
UID:DSSUJ/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/20/">P
 arametric families of attractors and inverse limits</a>\nby Jan Boroński 
 as part of Dynamical systems seminar at the Jagiellonian University\n\nLec
 ture held in 1016.\n\nAbstract\nIn my talk I shall discuss some of my rece
 nt work on\nparametric families of maps and their strange attractors on su
 rfaces\,\nwhich employed inverse limit approach. They were focusing on com
 puting\naccessible rotation numbers (e.g. for reduced Arnold Standard Fami
 ly\n[1])\, and building 1-dimensional models that are reductions of\n2-dim
 ensional dynamics in the presence of strong (mild) dissipation\n[2]. The l
 atter was inspired by recent results of Crovisier and Pujals\n[3] (see als
 o [4]).\n\nReferences\n[1] Boroński\, J. P.\; Činč\, J.\; Liu\, X-C "Pr
 ime ends dynamics in\nparametrised families of rotational attractors". J. 
 Lond. Math. Soc.\n(2) 102 (2020)\, no. 2\, 557–579.\n[2] Topological and
  Smooth Dynamics on Surfaces\, Mathematisches\nForschungsinstitut Oberwolf
 ach Report No. 27/2020\, DOI:\n10.4171/OWR/2020/27\n[3] S. Crovisier\, E. 
 Pujals\, "Strongly dissipative surface\ndiffeomorphisms"\, Commentarii Mat
 hematici Helvetici 93 (2018)\,\n377–400.\n[4] S. Crovisier\, E. Pujals\,
  C\, Tresser\, "Mild dissipative\ndiffeomorphisms of the disk with zero en
 tropy"\, arXiv 2020.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/20/
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