Naslov
Classifications of parabolic germs and epsilon-neighborhoods of orbits

Autori
Resman, Maja

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Theoretical and computational methods in dynamical systems and fractal geometry / - , 2015

Skup
Theoretical and computational methods in dynamical systems and fractal geometry

Mjesto i datum
Maribor, Slovenija, 07.04.2015. - 11.04.2015

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
epsilon-neighborhoods; parabolic germs; classifications

Sažetak
We consider analytic germs of parabolic diffeomorphisms f:C->C. The question is if we could recognize a germ using the functions of the (directed) areas of the epsilon-neighborhoods of its orbits. We show that the formal class can be read from only finitely many terms in the asymptotic expansion of the (directed) area function in epsilon. We further discuss analytic properties of this function. We concentrate on the coefficient of the quadratic term in the expansion, as a function of the initial point. It satisfies a cohomological equation similar to the trivialisation equation

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA