We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of generalized Julia sets. The equilibrium measure is considered. In addition, we discuss optimal smoothness of Green’s functions and Parreau–Widom criterion for a special family of real generalized Julia sets. © 2017, Springer International Publishing
AbstractWe characterize the Julia sets of certain exponential functions. We show that the Julia sets...
The concept of universal Julia set introduced in [5] allows us to conclude that the dynamics of a ro...
The present thesis is dedicated to two topics in Dynamics of Holomorphic maps. The first topic is d...
We discuss several open problems related to analysis on fractals: Estimates of the Green functions, ...
We review some asymptotics for Chebyshev polynomials and orthogonal polynomials. Our main interest i...
Cataloged from PDF version of article.Thesis (Ph.D.): Bilkent University, Department of Mathematics,...
Let (fn)n=1∞ be a sequence of non-linear polynomials satisfying some mild conditions. Furthermore, l...
For a probability measure with compact and non-polar support in the complex plane we relate dynamica...
Abstract If the Green function g E of a compact set E ⊂ C is Hölder continuous, then the Hölder expo...
AbstractA definition of a generalized filled-in Julia set generated by an infinite array of proper p...
The equilibrium measure of a compact set is a fundamental object in logarithmic potential theory. We...
For various Hilbert spaces of analytic functions on the unit disk, we characterize when a function $...
Indiana University-Purdue University Indianapolis (IUPUI)We consider orthogonal polynomials P_n sati...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
This dissertation is in the area of complex dynamics, more specifically focused on the iteration of ...
AbstractWe characterize the Julia sets of certain exponential functions. We show that the Julia sets...
The concept of universal Julia set introduced in [5] allows us to conclude that the dynamics of a ro...
The present thesis is dedicated to two topics in Dynamics of Holomorphic maps. The first topic is d...
We discuss several open problems related to analysis on fractals: Estimates of the Green functions, ...
We review some asymptotics for Chebyshev polynomials and orthogonal polynomials. Our main interest i...
Cataloged from PDF version of article.Thesis (Ph.D.): Bilkent University, Department of Mathematics,...
Let (fn)n=1∞ be a sequence of non-linear polynomials satisfying some mild conditions. Furthermore, l...
For a probability measure with compact and non-polar support in the complex plane we relate dynamica...
Abstract If the Green function g E of a compact set E ⊂ C is Hölder continuous, then the Hölder expo...
AbstractA definition of a generalized filled-in Julia set generated by an infinite array of proper p...
The equilibrium measure of a compact set is a fundamental object in logarithmic potential theory. We...
For various Hilbert spaces of analytic functions on the unit disk, we characterize when a function $...
Indiana University-Purdue University Indianapolis (IUPUI)We consider orthogonal polynomials P_n sati...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
This dissertation is in the area of complex dynamics, more specifically focused on the iteration of ...
AbstractWe characterize the Julia sets of certain exponential functions. We show that the Julia sets...
The concept of universal Julia set introduced in [5] allows us to conclude that the dynamics of a ro...
The present thesis is dedicated to two topics in Dynamics of Holomorphic maps. The first topic is d...
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