Carsten Lunde Petersen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Roots of polynomial sequences in root-sparse regions	2025	Christian Henriksen Carsten Lunde Petersen Eva Uhre
+ PDF Chat	Buff forms and invariant curves of near-parabolic maps	2024	Carsten Lunde Petersen Saeed Zakeri
+ PDF Chat	Hausdorff limits of external rays: The topological picture	2024	Carsten Lunde Petersen Saeed Zakeri
+	Hausdorff limits of external rays: the topological picture	2023	Carsten Lunde Petersen Saeed Zakeri
+	Zero distributions of derivatives of polynomial families centering on a set	2023	Christian Henriksen Carsten Lunde Petersen Eva Uhre
+	Value Distributions of Derivatives of $K$-regular Polynomial Families	2023	Christian Henriksen Carsten Lunde Petersen Eva Uhre
+	Convergence of Equilibrium Measures under $K$-regular Polynomial Sequences and their Derivatives	2023	Christian Henriksen Carsten Lunde Petersen Eva Uhre
+	Geometric limits of mixed families	2022	Christian Henriksen Carsten Lunde Petersen
+	Holomorphic explosions — I	2022	Aslı Deniz Carsten Lunde Petersen
+ PDF Chat	On the correspondence of external angles under renormalization	2022	Carsten Lunde Petersen Saeed Zakeri
+	Conformal renormalization of compact sets.	2021	Carsten Lunde Petersen Filip Samuelsen
+ PDF Chat	Periodic points and smooth rays	2021	Carsten Lunde Petersen Saeed Zakeri
+ PDF Chat	Filled Julia Sets of Chebyshev Polynomials	2021	Jacob S. Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen
+	Filled Julia sets of Chebyshev polynomials	2021	Jacob S. Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen
+	The Parabolic Mandelbrot Set	2021	Carsten Lunde Petersen Pascale Roesch
+	Conformal renormalization of compact sets	2021	Carsten Lunde Petersen Filip Samuelsen
+	Filled Julia sets of Chebyshev polynomials	2021	Jacob S. Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen
+	Periodic Points and Smooth Rays	2020	Carsten Lunde Petersen Saeed Zakeri
+ PDF Chat	Weak Limits of the Measures of Maximal Entropy for Orthogonal Polynomials	2020	Carsten Lunde Petersen Eva Uhre
+	Holomorphic Explosions.	2020	Aslı Deniz Carsten Lunde Petersen
+	Periodic Points and Smooth Rays	2020	Carsten Lunde Petersen Saeed Zakeri
+	Holomorphic Explosions	2020	Aslı Deniz Carsten Lunde Petersen
+	On combinatorial types of periodic orbits of the map x↦kx (mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Z</mml:mi></mml:math>)	2019	Carsten Lunde Petersen Saeed Zakeri
+ PDF Chat	Conformal equivalence of measures and dynamics of orthogonal polynomials	2019	Signe Emalia Jensen Carsten Lunde Petersen
+	On the correspondence of external rays under renormalization	2019	Carsten Lunde Petersen Saeed Zakeri
+	On the correspondence of external rays under renormalization	2019	Carsten Lunde Petersen Saeed Zakeri
+ PDF Chat	Julia Sets of Orthogonal Polynomials	2018	Jacob S. Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen
+	On Combinatorial Types of Periodic Orbits of the Map $x \mapsto kx$ (mod $\mathbb Z$). Part I: Realization	2017	Carsten Lunde Petersen Saeed Zakeri
+ PDF Chat	On quasi-conformal (in-) compatibility of satellite copies of the Mandelbrot set: I	2017	Luna Lomonaco Carsten Lunde Petersen
+ PDF Chat	On parabolic external maps	2017	Luna Lomonaco Carsten Lunde Petersen Weixiao Shen
+	On the (Filled-) Julia sets of Orthogonal polynomials	2016	Jacob Stordahl Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen
+	Julia sets of Orthogonal polynomials	2016	Jacob Stordahl Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen
+	Julia sets of Orthogonal polynomials	2016	Jacob Stordahl Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen
+	Siegel discs via trans-quasiconformal surgery: Siegel discs via trans-quasiconformal surgery	2014	Carsten Lunde Petersen
+	On The Notions of Mating	2013	Carsten Lunde Petersen Daniel Meyer
+ PDF Chat	On The Notions of Mating	2013	Carsten Lunde Petersen Daniel Meyer
+	On The Notions of Mating	2013	Carsten Lunde Petersen Daniel Meyer
+ PDF Chat	Carrots for dessert	2011	Carsten Lunde Petersen Pascale Roesch
+	Conformally Natural extensions revisited	2011	Carsten Lunde Petersen
+	Trends and Developments in Complex Dynamics	2009	Carsten Lunde Petersen Mikhail Lyubich Dierk Schleicher John Smillie
+	Polynomial-like semi-conjugates of the shift map	2009	Carsten Lunde Petersen
+ PDF Chat	On the size of linearization domains	2008	Xavier Buff Carsten Lunde Petersen
+	The Yoccoz combinatorial analytic invariant	2008	Carsten Lunde Petersen Pascale Roesch
+	A PLY INEQUALITY FOR KLEINIAN GROUPS	2008	Carsten Lunde Petersen
+	Quasi-symmetric conjugacy of Blaschke products on the unit circle	2007	Carsten Lunde Petersen
+	Dynamics on the Riemann Sphere: A Bodil Branner Festschrift	2006	Poul G. Hjorth Carsten Lunde Petersen
+	Branner–Hubbard motions and attracting dynamics	2006	Carsten Lunde Petersen Lei Tan
+ PDF Chat	Branner–Hubbard motions and attracting dynamics	2006	Lei Tan Carsten Lunde Petersen
+ PDF Chat	On holomorphic critical quasi-circle maps	2004	Carsten Lunde Petersen
+ PDF Chat	When Schröder meets Böttcher – convergence of level sets	2004	Carsten Lunde Petersen
+ PDF Chat	On the Julia set of a typical quadratic polynomial with a Siegel disk	2004	Carsten Lunde Petersen Saeed Zakeri
+	The central hyperbolic component of cubic polynomials	2003	Carsten Lunde Petersen Lei Tan
+ PDF Chat	Spectrum of the Dirac operator coupled to two-dimensional quantum gravity	2002	L. Bogacz Z. Burda Carsten Lunde Petersen B. Petersson
+	Dirac operator and Ising model on a compact 2D random lattice	2001	L. Bogacz Z. Burda J. Jurkiewicz A. Krzywicki Carsten Lunde Petersen Bengt Petersson
+	Dirac operator and Ising model on a compact 2D random lattice	2001	L. Bogacz Z. Burda J. Jurkiewicz A. Krzywicki Carsten Lunde Petersen Bengt Petersson
+ PDF Chat	Convergence of rational rays in parameter spaces	2000	Carsten Lunde Petersen Gustav Ryd
+	The Herman-Światek Theorems with applications	2000	Carsten Lunde Petersen
+	No elliptic limits for quadratic maps	1999	Carsten Lunde Petersen
+	The Herman-Swiatec theorem with applications	1998	Carsten Lunde Petersen
+	Prime ends revisited: a geometric point of view	1997	Carsten Lunde Petersen
+	Puzzles and siegel disks	1997	Carsten Lunde Petersen
+ PDF Chat	Local connectivity of some Julia sets containing a circle with an irrational rotation	1996	Carsten Lunde Petersen

Common Coauthors

Coauthor	Papers Together
Christian Henriksen	12
Saeed Zakeri	12
Henrik L. Pedersen	7
Eva Uhre	5
Jacob S. Christiansen	4
Z. Burda	3
Lei Tan	3
Jacob Stordahl Christiansen	3
L. Bogacz	3
Pascale Roesch	3
Aslı Deniz	3
Bengt Petersson	3
Filip Samuelsen	2
Luna Lomonaco	2
J. Jurkiewicz	2
Daniel Meyer	2
A. Krzywicki	2
Xavier Buff	1
Daniel Meyer	1
John Smillie	1
Signe Emalia Jensen	1
Mikhail Lyubich	1
Poul G. Hjorth	1
Gustav Ryd	1
Dierk Schleicher	1
Weixiao Shen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the dynamics of polynomial-like mappings	1985	Adrien Douady John H. Hubbard	13
+	Dynamics in one complex variable	2000	John Milnor	7
+ PDF Chat	Invariant sets under iteration of rational functions	1965	Hans Brolin	6
+	Über die Lage der Nullstellen von Polynomen, die aus Minimumforderungen gewisser Art entspringen	1922	Leopold Fejér	6
+	Potential Theory in the Complex Plane	1995	Thomas Ransford	6
+ PDF Chat	Fixed points of polynomial maps. Part II. Fixed point portraits	1993	Lisa R. Goldberg John Milnor	6
+	Geometry and Dynamics of Quadratic Rational Maps	1993	John Milnor Milnor Lei Tan	5
+	Boundary Behaviour of Conformal Maps	1992	Christian Pommerenke	5
+ PDF Chat	The iteration of cubic polynomials Part I: The global topology of parameter space	1988	Bodil Branner John H. Hubbard	5
+ PDF Chat	Entropy properties of rational endomorphisms of the Riemann sphere	1983	M. Ju. Ljubich	5
+	General Orthogonal Polynomials	1992	Herbert Stahl Вилмос Тотик	5
+ PDF Chat	Orthogonal polynomials associated with invariant measures on Julia sets	1982	Michael F. Barnsley Jeffrey S. Geronimo A. N. Harrington	5
+	External rays to periodic points	1996	Genadi Levin Feliks Przytycki	4
+	Über die Lage der Nullstellen von Polynomen, die aus Minimumforderungen gewisser Art entspringen	1922	Leopold Fejér	4
+ PDF Chat	Julia Sets of Orthogonal Polynomials	2018	Jacob S. Christiansen Christian Henriksen Henrik L. Pedersen Carsten Lunde Petersen	4
+ PDF Chat	Quasiconformal Mappings in the Plane:	1983	Olli Lehto K. I. Virtanen	3
+	An extended Fatou–Shishikura inequality and wandering branch continua for polynomials	2015	Alexander Blokh Doug Childers Genadi Levin Lex Oversteegen Dierk Schleicher	3
+	On the correspondence of external rays under renormalization	2019	Carsten Lunde Petersen Saeed Zakeri	2
+	The Yoccoz combinatorial analytic invariant	2008	Carsten Lunde Petersen Pascale Roesch	2
+ PDF Chat	The Decoration Theorem for Mandelbrot and Multibrot Sets	2016	Dzmitry Dudko	2
+	Szegő–Widom asymptotics of Chebyshev polynomials on circular arcs	2017	Benjamin Eichinger	2
+	Holomorphic motions and puzzles (following M. Shishikura)	2000	Pascale Roesch	2
+ PDF Chat	Geometric Limits of Julia Sets of Maps z<sup>n</sup> + <font>exp</font>(2πiθ) as n → ∞	2015	Scott Kaschner Reaper Romero David Simmons	2
+ PDF Chat	Dynamical dessins are dense	2015	Christopher J. Bishop Kevin M. Pilgrim	2
+	On the Geometry and Dynamics of Iterated Rational Maps	2009	William P. Thurston	2
+ PDF Chat	Periodic Orbits, Externals Rays and the Mandelbrot Set: An Expository Account	2018	John Milnor	2
+ PDF Chat	Disconnected Julia set and rotation sets	1996	Genadi Levin	2
+ PDF Chat	GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH	2012	Suzanne Hruska Boyd Michael J. Schulz	2
+ PDF Chat	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors	2
+ PDF Chat	On the Julia set of a typical quadratic polynomial with a Siegel disk	2004	Carsten Lunde Petersen Saeed Zakeri	2
+	Ordered orbits of the shift, square roots, and the devil's staircase	1994	Shaun Bullett Pierrette Sentenac	2
+ PDF Chat	Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials	1983	Michael F. Barnsley Jeffrey S. Geronimo A. N. Harrington	2
+	Parabolic-like mappings	2014	Luna Lomonaco	2
+	Mating Siegel quadratic polynomials	2000	Michael Yampolsky Saeed Zakeri	2
+ PDF Chat	Self-similarity of Siegel disks and Hausdorff dimension of Julia sets	1998	Curtis T. McMullen	2
+	Matings of quadratic polynomials	1992	Lei Tan	2
+	Iteration of Rational Functions	1991	Robert L. Devaney Alan F. Beardon	2
+ PDF Chat	The iteration of cubic polynomials Part II: patterns and parapatterns	1992	Bodil Branner John H. Hubbard	2
+ PDF Chat	Shapes of polynomial Julia sets	2014	Kathryn Lindsey	2
+ PDF Chat	Julia Sets in Parameter Spaces	2001	Xavier Buff Christian Henriksen	2
+ PDF Chat	Feigenbaum-Coullet-Tresser Universality and Milnor's Hairiness Conjecture	1999	Mikhail Lyubich	2
+ PDF Chat	A parabolic Pommerenke–Levin–Yoccoz inequality	2002	Xavier Buff Adam Epstein	2
+ PDF Chat	Pasting Together Julia Sets: A Worked Out Example of Mating	2004	John Milnor	2
+	Parabolic-like maps	2011	Luciana Luna Anna Lomonaco	2
+	On the dynamics of rational maps	1983	Ricardo Mañé Paulo Sad Dennis Sullivan	2
+ PDF Chat	Concerning upper semi-continuous collections of continua	1925	Robert L. Moore	2
+	Bifurcation of parabolic fixed points	2000	Mitsuhiro Shishikura	2
+	Petits diviseurs en dimension 1	2018	Jean-Christophe Yoccoz	2
+	Local connectivity of the Julia set for geometrically finite rational maps	1996	Lei Tan Yongcheng Yin	2
+	Logarithmic Potentials with External Fields	1997	Edward B. Saff Вилмос Тотик	2