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SUMMARY:Kecheng Li (Tufts University)
DTSTART:20260226T171500Z
DTEND:20260226T183000Z
DTSTAMP:20260423T022034Z
UID:NEDNT/101
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/101/">
 Unique Equilibrium States for Viana Maps for Small Potentials</a>\nby Kech
 eng Li (Tufts University) as part of New England Dynamics and Number Theor
 y Seminar\n\nLecture held in Online.\n\nAbstract\nWe study the thermodynam
 ic formalism for Viana maps (skew products that couple an expanding circle
  map with a small perturbation of a quadratic map on the fibers). Working 
 within the Climenhaga–-Thompson framework\, we show that for every Höld
 er potential whose oscillation is below an explicit threshold\, there is a
  unique equilibrium state. The main step is a uniform control of recurrenc
 e to the critical region in the fibers\, where the derivative degenerates.
  This yields the pressure gap and the specification estimates needed to ap
 ply the method and removes the principal obstruction. These conclusions ar
 e robust under sufficiently small perturbations of the reference map.\n
LOCATION:https://researchseminars.org/talk/NEDNT/101/
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