17 citations · 35 across the 18 of their papers we have counts for
20 papers
90+ years of the Scottish Book
Stanisław Domoradzki, Małgorzata Stawiska, Mykhailo Zarichnyi
Inspired by the recent 90th anniversary of the Scottish Book we present some reflections about its impact. First we discuss new areas of mathematics it helped launch. Then we argue…
Non-autonomous iteration of polynomials in the complex plane
Marta Kosek, Malgorzata Stawiska
We consider a sequence of polynomials with uniformly bounded zeros and , for , satisfying certain asymptotic conditions. We p…
An extremal subharmonic function in non-archimedean potential theory
Małgorzata Stawiska
We define an analog of the Leja-Siciak-Zaharjuta subharmonic extremal function for a proper subset of the Berkovich projective line over a field with a non-archimedean ab…
Convex hulls of polynomial Julia sets
Malgorzata Stawiska
We prove P. Alexandersson's conjecture that for every complex polynomial of degree the convex hull of the Julia set of satisfies $p^{-1}(H_p) \subset…
A generalized eigenvector-eigenvalue identity from the viewpoint of exterior algebra
Malgorzata Stawiska
We consider square matrices over satisfying an identity relating their eigenvalues and the corresponding eigenvectors re-proved and discussed by Denton, Parker, Tao an…
A generalization of the converse of Brolin's theorem
Yusuke Okuyama, Malgorzata Stawiska
We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.
Polish Mathematicians and Mathematics in World War I
Stanislaw Domoradzki, Malgorzata Stawiska
In this article we present diverse experiences of Polish mathematicians (in a broad sense) who during World War I fought for freedom of their homeland or conducted their research a…
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…
Distinguished graduates in mathematics of Jagiellonian University in the interwar period. Part II: 1928-1939
Stanisław Domoradzki, Małgorzata Stawiska
In this study, we continue to present profiles of some distinguished graduates in mathematics of the Jagiellonian University from the years 1918-1939. We discuss their professional…
Distinguished graduates in mathematics of the Jagiellonian University in the interwar period. Part I: 1918-1926
Stanisław Domoradzki, Małgorzata Stawiska
In this study, we present profiles of some distinguished graduates in mathematics of the Jagiellonian University from the years 1918-1939. We discuss their professional paths and s…
On a characterization of polynomials among rational functions in non-archimedean dynamics
Yûsuke Okuyama, Małgorzata Stawiska
We study a question on characterizing polynomials among rational functions of degree on the projective line over an algebraically closed field that is complete with respect to…
Some approximation problems in semi-algebraic geometry
Shmuel Friedland, Malgorzata Stawiska
In this paper we deal with a best approximation of a vector with respect to a closed semi-algebraic set in the space endowed with a semi-algebraic norm . Unde…
Best approximation on semi-algebraic sets and k-border rank approximation of symmetric tensors
Shmuel Friedland, Malgorzata Stawiska
In the first part of this paper we study a best approximation of a vector in Euclidean space R^n with respect to a closed semi-algebraic set C and a given semi-algebraic norm. Assu…
Lucjan Emil Böttcher (1872-1937)-- the Polish pioneer of holomorphic dynamics
Maĺgorzata Stawiska
This paper, based in part on joint work with Stanisław Domoradzki, concerns Lucjan Emil Böttcher (1872-1937)-- a little-known Polish mathematician active in Lwów. I outline Böttche…
Lucjan Emil Böttcher and his mathematical legacy
Stanisław Domoradzki, Małgorzata Stawiska
This article concerns the life and work of Lucjan Emil Böttcher (1872-1937), a Polish mathematician. Besides biographical and bibliographical information, it contains a survey of h…
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…
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 , which generalizes a theorem of Lopes. Our proof applies both classical a…
Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields
Małgorzata Stawiska
We study asymptotics of integrals of certain rational functions that depend on parameters in a field of characteristic zero. We use formal power series to represent the integra…
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…
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 on a projective algebraic variety …