Naslov
Epsilon-neighborhoods of orbits of parabolic germs and cohomological equations

Autori
Resman, Maja

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

Izvornik
European Advanced Studies Conference 2014, Symposium on Differential Equations and Difference Equations, EASC 2014 SDEDE 2014 / - , 2014

Skup
European Advanced Studies Conference 2014, Symposium on Differential Equations and Difference Equations, EASC 2014 SDEDE 2014

Mjesto i datum
Homburg, Njemačka, 05.09.2014. - 08.09.2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
parabolic germs; epsilon-neighborhoods; cohomological equations

Sažetak
We consider germs of parabolic diffeomorphisms f : (C ; 0) -> (C ; 0) with the multiplier equal to 1. The question is if we can recognize a germ using the (directed) areas of epsilon-neighborhoods of discrete orbits. We have shown that the formal class can be read from finitely many terms in the asymptotic expansion in epsilon for any orbit. In this talk, we discuss analyticity properties of functions of (directed) areas of epsilon-neighborhoods of orbits. In particular, we concentrate on the coefficient of the quadratic term in the expansion, as a function of the initial point. It satisfies a cohomological difference equation similar to the trivialisation equation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA