Marco Martens

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All published works

Action	Title	Year	Authors
+ PDF Chat	Invariant manifolds for non-differentiable operators	2021	Marco Martens Liviana Palmisano
+ PDF Chat	Probabilistic Universality in Two-Dimensional Dynamics	2021	Mikhail Lyubich Marco Martens
+	Newhouse Laminations of polynomials on ℂ2	2020	Marco Martens Liviana Palmisano Zhuang Tao
+	Newhouse Laminations of polynomials on $\mathbb{C}^2$	2020	Marco Martens Liviana Palmisano Zhuang Tao
+ PDF Chat	Invariant Measures for Typical Quadratic Maps	2018	Marco Martens Tomasz Nowicki
+	Newhouse Laminations.	2018	Michael Benedicks Marco Martens Liviana Palmisano
+ PDF Chat	Rigidity of critical circle maps	2018	Pablo Guarino Marco Martens Welington de Melo
+ PDF Chat	Geometry of polynomials and root-finding via path-lifting	2018	Myong-Hi Kim Marco Martens Scott Sutherland
+	Newhouse Laminations	2018	Michael Benedicks Marco Martens Liviana Palmisano
+	Infinitely Many Moduli of Stability at the Dissipative Boundary of Chaos	2017	Peter Hazard Marco Martens Charles Tresser
+	The rigidity conjecture	2017	Marco Martens Liviana Palmisano Björn Winckler
+	Infinitely many moduli of stability at the dissipative boundary of chaos	2017	Peter Hazard Marco Martens C. Tresser
+	Foliations by rigidity classes	2017	Marco Martens Liviana Palmisano
+	Invariant Manifolds for Non-differentiable Operators	2017	Marco Martens Liviana Palmisano
+	Infinitely Many Moduli of Stability at the Dissipative Boundary of Chaos	2017	Peter Hazard Marco Martens Charles Tresser
+ PDF Chat	Physical measures for infinitely renormalizable Lorenz maps	2016	Marco Martens Björn Winckler
+	Instability of Renormalization	2016	Marco Martens Björn Winckler
+ PDF Chat	Rigidity for infinitely renormalizable area-preserving maps	2015	D. Gaidashev Tomas Johnson Marco Martens
+ PDF Chat	On the Hyperbolicity of Lorenz Renormalization	2013	Marco Martens Björn Winckler
+	Renormalizable Hénon-like maps and unbounded geometry	2012	Peter Hazard Mikhail Lyubich Marco Martens
+	Focal rigidity of flat tori	2011	Ferry Kwakkel Marco Martens M. M. Peixoto
+	Probabilistic Universality in two-dimensional Dynamics	2011	Mikhail Lyubich Marco Martens
+	Focal Rigidity of Flat Tori	2011	Ferry Kwakkel Marco Martens M. M. Peixoto
+ PDF Chat	Renormalization in the Hénon family, II: the heteroclinic web	2011	Mikhail Lyubich Marco Martens
+	Probabilistic Universality in two-dimensional Dynamics	2011	Mikhail Lyubich Marco Martens
+	Focal Rigidity of Flat Tori	2011	Ferry Kwakkel Marco Martens M. M. Peixoto
+	Renormalisable Henon-like Maps and Unbounded Geometry	2010	Peter Hazard Mikhail Lyubich Marco Martens
+	Renormalisable Henon-like Maps and Unbounded Geometry	2010	Peter Hazard Mikhail Lyubich Marco Martens
+	Bounds for the Cost of Root Finding	2009	Myong-Hi Kim Marco Martens Scott Sutherland
+	A Universal Bound for the Average Cost of Root Finding	2009	Myong-Hi Kim Marco Martens Scott Sutherland
+ PDF Chat	Chaotic period doubling	2008	V. V. M. S. Chandramouli Marco Martens W. de Melo Charles Tresser
+	Renormalization in the Hénon family, II: The heteroclinic web	2008	Mikhail Lyubich Marco Martens
+	Chaotic Period Doubling	2007	V. V. M. S. Chandramouli Marco Martens W. de Melo Charles Tresser
+ PDF Chat	Algebraic Topology for Minimal Cantor Sets	2006	Jean-Marc Gambaudo Marco Martens
+ PDF Chat	Renormalization in the Hénon Family, I: Universality But Non-Rigidity	2005	André de Carvalho Mikhail Lyubich Marco Martens
+ PDF Chat	Convergence to Equilibrium for Intermittent Symplectic Maps	2005	Carlangelo Liverani Marco Martens
+ PDF Chat	A cubic Hénon-like map in the unfolding of degenerate homoclinic orbit with resonance	2005	Marco Martens Vincent Naudot Jiazhong Yang
+	Convex dynamics and applications	2005	R. L. ADLER Bruce Kitchens Marco Martens Charles Pugh M. Shub C. Tresser
+	Dynamical Systems/Ordinary Differential Equations A cubic Hénon-like map in the unfolding of degenerate homoclinic orbit with resonance	2005	Marco Martens Vincent Naudot Jiazhong Yang
+	Suspended Cubic Henon like map in the unfolding of a degenerate homoclinic orbit with a resonance	2005	Marco Martens
+	Renormalization in the Henon family, I: universality but non-rigidity	2005	Alcides de Carvalho Mikhail Lyubich Marco Martens
+	On the dynamics of the renormalization operator	2004	Artur Avila Welington de Melo Marco Martens
+	Convex Dynamics and Applications	2004	Roy L. Adler Bruce Kitchens Marco Martens Charles Pugh M. Shub C. Tresser
+	Ergodic theory of one-dimensional dynamics	2003	Marco Martens Tomasz Nowicki
+	On the dynamics of the renormalization operator	2001	Marco Martens Welington de Melo Artur Avila
+ PDF Chat	Universal models for Lorenz maps	2001	Marco Martens Welington de Melo
+ PDF Chat	The multipliers of periodic points in one-dimensional dynamics	1999	Marco Martens Welington de Melo
+ PDF Chat	Stably nonsynchronizable maps of the plane	1999	Patrice Le Calvez Marco Martens Charles Tresser Patrick Worfolk
+ PDF Chat	The Periodic Points of Renormalization	1998	Marco Martens
+ PDF Chat	Inducing, slopes, and conjugacy classes	1997	Roza Galeeva Marco Martens Charles Tresser
+	Universal models for Lorenz maps	1996	Marco Martens Welington de Melo
+	The periodic points of renormalization	1996	Marco Martens
+ PDF Chat	Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps	1996	Marco Martens Charles Tresser
+	Universal models for Lorenz maps	1996	Marco Martens Welington de Melo
+	The periodic points of renormalization	1996	Marco Martens
+	Invariant measures for typical quadratic maps	1996	Marco Martens Tomasz Nowicki
+	Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps	1994	Marco Martens Charles Tresser
+ PDF Chat	Distortion results and invariant Cantor sets of unimodal maps	1994	Marco Martens
+	Inducing, slopes, and conjugacy classes	1994	Roza Galeeva Marco Martens Charles Tresser
+	Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps	1994	Marco Martens Charles Tresser
+	Distortion results and invariant cantor sets of unimodal maps	1992	Marco Martens
+	The existence of sigma-finite invariant measures, applications to real one-dimensional dynamics	1992	Marco Martens
+ PDF Chat	Julia-Fatou-Sullivan theory for real one-dimensional dynamics	1992	Marco Martens W. de Melo Sebastian van Strien
+	Distortion results and invariant cantor sets of unimodal maps	1992	Marco Martens
+	The existence of sigma-finite invariant measures, applications to real one-dimensional dynamics	1992	Marco Martens
+ PDF Chat	On Cherry flows	1990	Marco Martens Sebastian van Strien Welington de Melo P.M.M. Mendes

Common Coauthors

Coauthor	Papers Together
Mikhail Lyubich	10
Charles Tresser	10
Liviana Palmisano	8
Welington de Melo	8
Peter Hazard	6
Björn Winckler	4
Tomasz Nowicki	3
M. M. Peixoto	3
W. de Melo	3
Scott Sutherland	3
Ferry Kwakkel	3
Myong-Hi Kim	3
C. Tresser	3
Artur Avila	2
Zhuang Tao	2
Jiazhong Yang	2
M. Shub	2
Bruce Kitchens	2
Michael Benedicks	2
Charles Pugh	2
Vincent Naudot	2
V. V. M. S. Chandramouli	2
Roza Galeeva	2
Sebastian van Strien	2
Pedro Mendes	1
Pablo Guarino	1
R. L. ADLER	1
Tomas Johnson	1
Alcides de Carvalho	1
André de Carvalho	1
Carlangelo Liverani	1
D. Gaidashev	1
Roy L. Adler	1
Jean-Marc Gambaudo	1
Patrice Le Calvez	1
Patrick A. Worfolk	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Feigenbaum-Coullet-Tresser Universality and Milnor's Hairiness Conjecture	1999	Mikhail Lyubich	14
+ PDF Chat	Renormalization in the Hénon Family, I: Universality But Non-Rigidity	2005	André de Carvalho Mikhail Lyubich Marco Martens	13
+ PDF Chat	The Periodic Points of Renormalization	1998	Marco Martens	12
+ PDF Chat	Global hyperbolicity of renormalization for C<sup>r</sup>unimodal mappings	2006	Edson de Faria Welington de Melo Alberto A. Pinto	12
+	One-Dimensional Dynamics	2005	Welington de Melo Sebastian van Strien	11
+ PDF Chat	Distortion results and invariant Cantor sets of unimodal maps	1994	Marco Martens	9
+ PDF Chat	Sur la Conjugaison Différentiable des Difféomorphismes du Cercle a des Rotations	1979	Michael R. Herman	8
+	Quantitative universality for a class of nonlinear transformations	1978	Mitchell J. Feigenbaum	7
+	Period doubling bifurcations for families of maps on ℝ n	1981	Pierre Collet Jean-Pierre Eckmann Hans Koch	7
+ PDF Chat	Absolutely continuous measures for certain maps of an interval	1981	Michał Misiurewicz	6
+	Henon-like maps with strange attractors: there exist C<sup>∞</sup>Kupka-Smale diffeomorphisms on S<sup>2</sup>with neither sinks nor sources	1989	J. M. Gambaudo S van Strein C. Tresser	6
+ PDF Chat	The Fibonacci unimodal map	1993	Mikhail Lyubich John Milnor	6
+	Renormalization and 3-Manifolds Which Fiber over the Circle	1996	Curtis T. McMullen	5
+ PDF Chat	Rigidity of C 2 Infinitely Renormalizable Unimodal Maps	1999	W. de Melo Alberto A. Pinto	5
+	On the concept of attractor	1985	John Milnor	5
+ PDF Chat	The Attractor of Renormalization¶and Rigidity of Towers of Critical Circle Maps	2001	Michael Yampolsky	5
+ PDF Chat	Julia-Fatou-Sullivan theory for real one-dimensional dynamics	1992	Marco Martens W. de Melo Sebastian van Strien	5
+ PDF Chat	Hyperbolicity of renormalization of critical circle maps	2003	Michael Yampolsky	5
+	On iterated maps of the interval	1988	John Milnor William P. Thurston	5
+	Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142	1996	Curtis T. McMullen	4
+	Feigenbaum universality and the thermodynamic formalism	1984	E. B. Vul Yakov G. Sinai Konstantin Khanin	4
+ PDF Chat	Hénon-like maps with arbitrary stationary combinatorics	2011	Peter Hazard	4
+ PDF Chat	Rigidity of smooth critical circle maps	2017	Pablo Guarino Welington de Melo	4
+	Combinatorics, Geometry and Attractors of Quasi-Quadratic Maps	1994	Mikhail Lyubich	4
+	Infinitely many moduli of stability at the dissipative boundary of chaos	2017	Peter Hazard Marco Martens C. Tresser	4
+	Quasi-conformal mappings inn-space and the rigidity of hyperbolic space forms	1968	G. D. Mostow	4
+	On the Structure of Local Homeomorphisms of Euclidean n-Space, II	1958	Shlomo Sternberg	4
+	Robust rigidity for circle diffeomorphisms with singularities	2007	Konstantin Khanin A. Teplinsky	4
+ PDF Chat	Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne	1984	Jean-Christophe Yoccoz	4
+	The Dynamics of the Henon Map	1991	Michael Benedicks Lennart Carleson	4
+	A possible new mechanism for the onset of turbulence	1981	A. Arnéodo P. Coullet C. Tresser	4
+	The universal metric properties of nonlinear transformations	1979	Mitchell J. Feigenbaum	4
+	Renormalization Horseshoe for Critical Circle Maps	2003	Michael Yampolsky	4
+ PDF Chat	Rigidity of critical circle maps	2018	Pablo Guarino Marco Martens Welington de Melo	4
+	Probabilistic Universality in two-dimensional Dynamics	2011	Mikhail Lyubich Marco Martens	4
+ PDF Chat	The continuous, desingularized Newton method for meromorphic functions	1988	Hubertus Th. Jongen P. G. Jonker F. Twilt	3
+	Convergence Criteria for Attracting Cycles of Newton's Method	1998	Stanley Ocken	3
+	Renormalization Horseshoe and Rigidity for Circle Diffeomorphisms with Breaks	2013	Konstantin Khanin A. Teplinsky	3
+	Complexity of Bezout’s Theorem VII: Distance Estimates in the Condition Metric	2007	Carlos Beltrán Michael Shub	3
+	Complex Dynamics and Renormalization	1994	Curtis T. McMullen	3
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	3
+	Fixed points of composition operators. II	1989	Henri Epstein	3
+ PDF Chat	Universal models for Lorenz maps	2001	Marco Martens Welington de Melo	3
+ PDF Chat	Almost Every Real Quadratic Map Is Either Regular or Stochastic	2002	Mikhail Lyubich	3
+	Complexity of Bezout’s Theorem IV: Probability of Success; Extensions	1996	Michael Shub Steve Smale	3
+	The theory of Smale's point estimation and its applications	1995	Wang Deren Fengguang Zhao	3
+ PDF Chat	Structure of mappings of an interval with zero entropy	1981	Michał Misiurewicz	3
+ PDF Chat	Differentiable circle maps with a flat interval	1995	Jacek Graczyk Leo Jonker Grzegorz Świątek F. M. Tangerman J. J. P. Veerman	3
+	What’s new on lorenz strange attractors?	2000	Marcelo Viana	3
+ PDF Chat	Algebraic Topology for Minimal Cantor Sets	2006	Jean-Marc Gambaudo Marco Martens	3