Dr Davoud Cheraghi


Davoud Cheraghi


Research Interests

  • Low-dimensional analytic dynamics (rigidity and small divisors)
  • Geometric analysis (quasi-conformal mappings and elliptic PDEs)
  • Renormalization operators (on infinite dimensional spaces)
Publications and Preprints Manuscripts in preparation
  • Complex Feigenbaum phenomena of high type, (with M. Pedramfar)
  • Topology of isentropes in a two parameter family of unimodal maps, (with S. van Strien)
  • Combinatorial-analytic multipliers and the asymptotic geometry of the Mandelbrot set,
  • Measurable dynamics of holomorphic maps with a nonlinearizable fixed point,
Lecture notes
  • One dimensioanl real and complex dynamics, lecture notes of the TCC course, 52 pages, Spring 2014.
  • Geometric complex analysis, lecture notes , 98 pages, Autumn 2016.
  • Analytic number theory, lecture notes , 66 pages, Winter 2016.
Selected slides of talks
  • Satellite renormalization of quadratic polynomials, slides of the the first two lectures of an eight-lecture minicourse at the Simon's semeter at Banach center in Warsaw, September 2015.
  • Typical orbits of quadratic polynomials with a neutral fixed point, slides at Seillac, France, May 2010, and a longer one, slides, at University of Liverpool, Apr 2010.
  • Attractors of quadratic polynomials with an irrationally indifferent fixed point, slides at National University of Singapore, 2012.
  • Combinatorial rigidity of infinitely renormalizable unicritical polynomials, slides at Roskilde University in Copenhagen, Sept 2010
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