Dan Coman

most citedTranscendence measures and algebraic growth of entire functions

1 citations · 2 across the 5 of their papers we have counts for

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math.CV2004

Entire pluricomplex Green functions and Lelong numbers of projective currents

Dan Coman

Let $T$ be a positive closed current of bidimension (1,1) and unit mass on the complex projective space $P^{n}$ . We prove that the set $V_{α} (T)$ of points where $T$ has Lelong…

math.CV2004★ 1 cited

Transcendence measures and algebraic growth of entire functions

Dan Coman, Evgeny A. Poletsky

In this paper we obtain estimates for certain transcendence measures of an entire function $f$ . Using these estimates, we prove Bernstein, doubling and Markov inequalities for a po…

math.CV2004★ 1 cited

Quasianalyticity and pluripolarity

Dan Coman, Norman Levenberg, Evgeny A. Poletsky

We show that the graph $Γ_{f} = {(z, f (z)) \in C^{2} : z \in S}$ in $C^{2}$ of a function $f$ on the unit circle $S$ which is either continuous and quasianalytic in the sense…

math.CV2004

Smooth submanifolds intersecting any analytic curve in a discrete set

Dan Coman, Norman Levenberg, Evgeny A. Poletsky

We construct examples of $C^{\infty}$ smooth submanifolds in $C^{n}$ and $R^{n}$ of codimension 2 and 1, which intersect every complex, respectively real, analytic curve in…

math.CV2004

Invariant currents and dynamical Lelong numbers

Dan Coman, Vincent Guedj

Let $f$ be a polynomial automorphism of $C^{k}$ of degree $λ$ , whose rational extension to $P^{k}$ maps the hyperplane at infinity to a single point. Given any positive c…