The dynamics and an index for real projective iterated function systems

Prelegent(ci)

Michael F. Barnsley

Afiliacja

Australian National University

Termin

8 października 2010 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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I will give a reasonably complete description of the dynamics associated with arbitrary real projective iterated function systems, including their Conley decomposition (which describes the attractor/repeller structure), and a beautiful duality result. Using these ideas, a full "Conley landscape" can be "painted" for arbitrary real projective systems. One consequence is the existence of a new mathematical projective invariant: does it have physical significance? (This talk describes largely joint work with Andrew Vince and David Wilson of the University of Florida.)

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