Polynomial diffeomorphisms of C^2: V. Critical points and Lyapunov exponents
| dc.creator | Bedford, Eric | |
| dc.creator | Smillie, John | |
| dc.date | 1996-07-03 | |
| dc.date.accessioned | 2026-07-07T09:15:33Z | |
| dc.date.available | 2026-07-07T09:15:33Z | |
| dc.description | In this paper we continue our study of polynomial diffeomorphisms of C^2. Let us recall that there is an invariant measure $μ$, which is the pluri-complex version of the harmonic measure of the Julia set for polynomial maps of C. In this paper we give an integral formula for the Lyapunov exponents of a polynomial automorphism with respect to $μ$ analogous to the Brolin-Manning formula polynomial maps of C. Our formula relates the Lyapunov exponents to the value of a Green function at a type of critical point which we define in this paper. We show that these critical points have a very natural dynamical interpretation. | |
| dc.identifier | https://arxiv.org/abs/math/9606204 | |
| dc.identifier | http://arxiv.org/abs/math/9606204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153054 | |
| dc.subject | Complex Variables | |
| dc.subject | Dynamical Systems | |
| dc.subject | 32 | |
| dc.title | Polynomial diffeomorphisms of C^2: V. Critical points and Lyapunov exponents | |
| dc.type | text |