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- Laura G. DeMarco
- 2002

Let L(f) = âˆ« log â€–Dfâ€– dÎ¼f denote the Lyapunov exponent of a rational map, f : P â†’ P. In this paper, we show that for any holomorphic family of rational maps {fÎ» : Î» âˆˆ X} of degree d > 1, T (f) =â€¦ (More)

In this article, we combine complex-analytic and arithmetic tools to study the preperiodic points of one-dimensional complex dynamical systems. We show that for any fixed a, b âˆˆ C, and any integer dâ€¦ (More)

- Laura G. DeMarco
- 2004

Let Ratd denote the space of holomorphic self-maps of P of degree d â‰¥ 2, and let Î¼f be the measure of maximal entropy for f âˆˆ Ratd . The map of measures f â†’ Î¼f is known to be continuous on Ratd , andâ€¦ (More)

- Carlo Scarabelli, Elio Campagnutta, +4 authors Laura G. DeMarco
- Gynecologic oncology
- 1998

OBJECTIVE
The objective was to determine if maximal cytoreductive surgery could carry any benefit in pelvic and abdominal recurrent endometrial carcinoma.
METHODS
Twenty women at their first largeâ€¦ (More)

- Laura G. DeMarco
- 2001

Let fÎ» : P 1 â†’ P be a family of rational maps of degree d > 1, parametrized holomorphically by Î» in a complex manifold X. We show that there exists a canonical closed, positive (1,1)-current T on Xâ€¦ (More)

In this paper we study branched coverings of metrized, simplicial trees F : T â†’ T which arise from polynomial maps f : C â†’ C with disconnected Julia sets. We show that the collection of all suchâ€¦ (More)

- Laura G. DeMarco
- 2007

Î¦n : Md â†’ Mdn , given by [f ] â†’ [f], where [f ] denotes the conjugacy class of f âˆˆ Ratd. The aim of this paper is to define a compactification of the moduli space which is natural from the point ofâ€¦ (More)

We prove a formula for the Fekete-Leja transfinite diameter of the pullback of a set E âŠ‚ C by a regular polynomial map F , expressing it in terms of the resultant of the leading part of F and theâ€¦ (More)

- Laura G. DeMarco
- 2009

We study the projection Ï€ :Md â†’ Bd which sends an affine conjugacy class of polynomial f : C â†’ C to the holomorphic conjugacy class of the restriction of f to its basin of infinity. When Bd isâ€¦ (More)

- Laura G. DeMarco
- 2010

This article provides an introduction to some recent results in billiard dynamics. We present results that follow from a study of compact Riemann surfaces (equipped with a holomorphic 1-form) and anâ€¦ (More)