Małgorzata Stawiska

activity

20062026

most citedBest approximation on semi-algebraic sets and k-border rank approximation of symmetric tensors

17 citations · 35 across the 18 of their papers we have counts for

collaborators

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7 papers · 1 filter

math.CV2023

Non-autonomous iteration of polynomials in the complex plane

Marta Kosek, Malgorzata Stawiska

We consider a sequence $(p_{n})_{n = 1}^{\infty}$ of polynomials with uniformly bounded zeros and $° p_{1} \geq 1$ , $° p_{n} \geq 2$ for $n \geq 2$ , satisfying certain asymptotic conditions. We p…

math.CV2020

Convex hulls of polynomial Julia sets

Malgorzata Stawiska

We prove P. Alexandersson's conjecture that for every complex polynomial $p$ of degree $d \geq 2$ the convex hull $H_{p}$ of the Julia set $J_{p}$ of $p$ satisfies $p^{-1}(H_p) \subset…

math.CV2017★ 2 cited

On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets

Leokadia Bialas-Ciez, Marta Kosek, Malgorzata Stawiska

We revisit the approximation of nonempty compact planar sets by filled-in Julia sets of polynomials developed by Lindsey and Younsi and analyze the rate of approximation. We use sl…

math.CV2011

Lelong classes on toric varieties and a theorem of Siciak

Maritza M. Branker, Malgorzata Stawiska

We characterize Lelong classes on a toric manifold with an ample torus invariant line bundle, generalizing an approximation theorem due to Siciak. We include a counterexample to th…

math.CV2010★ 4 cited

Potential theory and a characterization of polynomials in complex dynamics

Yûsuke Okuyama, Małgorzata Stawiska

We obtain a measure theoretical characterization of polynomials among rational functions on $P^{1}$ , which generalizes a theorem of Lopes. Our proof applies both classical a…

math.CV2008

Weighted pluripotential theory on complex Kähler manifolds

Maritza M. Branker, Malgorzata Stawiska

We introduce a weighted version of the pluripotential theory on complex Kähler manifolds developed by Guedj and Zeriahi. We give the appropriate definition of a weighted pluricompl…

math.CV2006

Attracting divisors on projective algebraic varieties

Małgorzata Stawiska

We obtain sufficient and necessary conditions (in terms of positive singular metrics on an associated line bundle) for a positive divisor $D$ on a projective algebraic variety $X$ …