BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Christian Wolf (CUNY)
DTSTART:20201204T140000Z
DTEND:20201204T150000Z
DTSTAMP:20260423T021858Z
UID:DSSUJ/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/16/">C
 omputability of topological pressure on compact shift spaces beyond finite
  type</a>\nby Christian Wolf (CUNY) as part of Dynamical systems seminar a
 t the Jagiellonian University\n\nLecture held in 1016.\n\nAbstract\nIn thi
 s talk we discuss the computability (in the sense of computable\nanalysis)
  of the topological pressure $P_{\\rm top}(\\phi)$ on compact\nshift space
 s $X$ for continuous potentials $\\phi:X\\to\\bR$. This\nquestion has rece
 ntly been studied for subshifts of finite type (SFTs)\nand their factors (
 Sofic shifts). We develop a framework to address\nthe computability of the
  topological pressure on general shift spaces\nand apply this framework to
  coded shifts. In particular\, we prove the\ncomputability of the topologi
 cal pressure for all continuous\npotentials on S-gap shifts\, generalized 
 gap shifts\, and Beta shifts.\nWe also construct shift spaces which\, depe
 nding on the potential\,\nexhibit computability and non-computability of t
 he topological\npressure. We further show that the generalized pressure fu
 nction\n$(X\,\\phi)\\mapsto P_{\\rm top}(X\,\\phi\\vert_{X})$ is not compu
 table for a\nlarge set of shift spaces $X$ and potentials $\\phi$. Along t
 he way of\ndeveloping these computability results\, we derive several\nerg
 odic-theoretical properties of coded shifts which are of\nindependent inte
 rest beyond the realm of computability. The topic of\nthe talk is joint wo
 rk with Michael Burr (Clemson U.)\, Shuddho Das\n(NYU) and Yun Yang (Virgi
 nia Tech).\n
LOCATION:https://researchseminars.org/talk/DSSUJ/16/
END:VEVENT
END:VCALENDAR