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SUMMARY:Bo Wang (Sun Yat-Sen University\, Jiaying University)
DTSTART:20251021T120000Z
DTEND:20251021T130000Z
DTSTAMP:20260423T035956Z
UID:OWNS/154
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/154/">R
 amírez’s Problems and Fibers on Well Approximable Set of Systems of Aff
 ine Forms</a>\nby Bo Wang (Sun Yat-Sen University\, Jiaying University) as
  part of One World Numeration seminar\n\n\nAbstract\nIn this talk\, we sho
 w that badly approximable matrices are exactly those that\, for every inho
 mogeneous parameter\, cannot be inhomogeneous approximated at every monoto
 ne divergent rate\, which generalizes Ramírez's result (2018). We also es
 tablish some metrical results of the fibers on well approximable set of sy
 stems of affine forms\, which gives answers to three of Ramírez's problem
 s (2018). Furthermore\, we prove that badly approximable systems are exact
 ly those that for each monotone convergent rate $\\psi$ cannot be approxim
 ated at $\\psi$. Moreover\, we study the topological structure of the set 
 of approximation functions. This is a joint work with Bing Li.\n
LOCATION:https://researchseminars.org/talk/OWNS/154/
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