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M. Lyubich,
M. Martens:
Renormalization of Henon Maps: a survey
Dynamics,
Games, and Science I, M.M. Peixoto, A.A. Pinto, D.A. Rand
eds., Springer 2011, 597-618.
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P.E. Hazard, M. Lyubich,
M. Martens:
Renormalisable Henon-like Maps and unbounded geometry
Nonlinearity (2012) , 25(2), 397-420. |
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M. Lyubich, M. Martens:
Renormalization in the Henon Family, II: Heteroclinic web
Invent.
Math. (2011) , 186, 115-189. |
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F.H. Kwakkel, M. Martens, M.
Peixoto:
Rigidity of Brillouin zones
An. Acad. Bras. Cienc. (2011), 83(4), 1149-1158. |
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E.M. Geertsema, S. van der
Molen, M. Martens, B.L. Feringa: Optimizing Synthetic
Molecular Motors
PNAS 2009
October 6; 106(40): 16919–16924. |
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V.V.M.S. Chandramouli, M.
Martens, W. de Melo, C.P. Tresser:
Chaotic period doubling
Ergod. Th.
&
Dynam. Sys. (2009) 29, 381-418. |
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M. Martens, H. Meijer:
On the expected time complexisty of a heuristic maximal Hamiltonian
cycle algorithm
J.
Discrete Algorithms 2007 5(1), 102-114. |
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M. Martens, V. Naudot, J.
Yang:
A strange attractor
with large entropy in the unfolding of a low resonant degenerate
homoclinic orbit
Intern.
Journ. of Bifurcation and Chaos (2006) 16, 3509-3522. |
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J.M. Gambaudo, M. Martens:
Algebraic Topology for Minimal Cantor sets
Ann. Henri
Poincare (2006) 7, 423-446. |
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A. de Cavalho, M. Lyubich,
M. Martens: Renormalization in the Henon Family, I:
Universality but Non-Rigidity
J. Stat.
Phys. (2006) 121 5/6, 611-669. |
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M. Martens, V. Naudot, J.
Yang:
A cubic Henon-like map
in the unfolding of a low degenerate homoclinic orbit with resonance
C.R. Acad.
Sci. Paris, Ser. I (2005) 340, 843-846. |
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R.L. Adler, B.P. Kitchens, M.
Martens, C. Pugh, M. Shub, C.P. Tresser:
Convex dynamics and applications
Ergod.
Th.& Dynam. Sys. (2005) 25,
321-352. |
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C. Liverani, M. Martens:
Convergence to Equilibrium for intermittent symplectic maps
Comm.
Math. Phys. (2005) 260, 527-556. |
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R. Adler, B. Kitchens, M.
Martens, C.P. Tresser,
C.W. Wu:
The mathematical theory of printing
IBM J.
Res. & Dev. (2003) 47 no. 1. |
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M. Martens, T. Nowicki:
The Ergodic Theory of One-dimensional
Dynamics
IBM J.
Res. & Dev. (2003) 47 no. 1. |
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G. Birkhoff, M. Martens and
C.P. Tresser:
On the scaling structure for period doubling
Asterisque
(2003) 286, 167-186. |
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T. Nowicki, J.Q. Trelewicz,
M. Martens, T. Trenary:
Error Diffusion Method for Resampling in the Transform
domain
International Journal of Computational and Numerical Analysis
and Applications, vol. 2, no. 4, 2002, pp. 413-427. |
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M. Martens, E. Pecou, C.P.
Tresser, P.
Worfolk:
On the Geometry of Master-Slave Synchronization
Chaos 12
Issue 2, (2002), 316-323. |
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R. Adler, J.P. Dedieu, J.
Margulis, M. Martens, M. Shub:
Newton's Method on Riemannian Manifolds and a Geometrical Model
for the Human Spine
IMA
journal of Numerical Analysis, 2 Issue 3,
(2002), 359-390. |
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R. Adler, B. Kitchens, M.
Martens, A. Nogueira, C.P. Tresser,
C.W. Wu:
Error Bounds for error diffusion and Related
Halftoning Algorithm
Proceedings of the IEEE INternational Symposium on Circuits and Systems
(2001) II,513-516. |
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T. Trenary, A. Michelli,J.Q.
Trelewicz, M. Martens,
J.L. Mitchell:
Fast DCT-domain image shifting and merging
Proceedings of 35th Asilomar Conference on Signals, Systems, and
Computers 2001, (Pacific Grove, CA), 4-7 Nov 2001. |
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R.L Adler, J.Y. Margulies, M.
Martens,
M. Shub:
The Scoliotic Curve: Correlation to the Deformity of
Individual Vertebrae
European
Spine Journal Vol 10 supplement 1
(2001), 45. |
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R.L Adler, J.Y. Margulies, M.
Martens, M. Shub:
Mathematical Tool for Planning Surgical Corrections and Spine
Balance
European
Spine Journal Vol 10 supplement 1 (2001), 9. |
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M. Martens, A. de Melo, W. de
Melo:
On the dynamics of the
renormalization operator
Global
Analysis of Dynamical Systems,
Festschrift dedicated to Floris Takens for his 60th birthday, IOP
publishing Ltd 2001, 449-461. |
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M. Martens, T. Nowicki:
Cycles in Newton Means
Invent.
Math. 144 (2001), 225-231. |
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M. Martens, W. de Melo:
Universal Models for Lorenz Maps
Ergod. Th.
& Dynam. Sys 21 (2001), 833-860. |
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J.Y. Margulis, R.L. Adler,
A.D. Kalvin, M. Martens, M. Shub,
C.P. Tresser, C.W. Wu:
Deforming Factors in Indopathic Scoliosis:
a mathematical tool
SPINE:
State of the Art Reviews, vol. 14,
no. 2, 505-509, 2000. |
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R. Adler, B. Kitchens, M.
Martens, A. Nogueira, C.P. Tresser,
C.W.Wu:
Error Bounds for error diffusion and other
mathematical problems arising in digital halftoning
IS\&T/SPIE's
int. Symp. Elec. Imaging, San Jose, CA, vol. 3963,
437-443,2000. |
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N.J. Balmforth, A.
Provenzale, E.A. Spiegel, M. Martens, C. Tresser, C.W. Wu:
Red Spectra from White and Blue Noise
Proceedings of the Royal Society: Biological Science, 266, no.1416
(1999) 311. |
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M. Martens, W. de Melo:
The Multipliers of Periodic
Points in Interval Dynamics
Nonlinerity 12 issue 2 (1999), 217-227. |
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P. Le Calvez, M. Martens, C.
Tresser, P.A. Worfolk:
Stably Non Synchronizable Maps of the Plane
Nonlinearity 12
(january 1999), 9-18. |
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M. Martens, T. Nowicki:
Invariant Measures for Typical
Quadratic Maps
Asterisque
261 (1999), 243-256. |
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M. Martens:
The Periodic Points of Renormalization
Ann. of Math. 147 (1998), 543-584. |
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M. Martens, C.P. Tresser:
Forcing of Periodic Orbits for
Interval Maps and Renormalization of Piecewise Affine Maps
Proc.
Amer.
Math. Soc. 124 No. 9 (1996) 2863-2870. |
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R. Galeeva, M. Martens, C.
Tresser:
Inducing, Slopes and Conjugacies
Israel
Journal of Mathematics
99 (1997), 123-147. |
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M. Martens:
Distortion Results and Invariant Cantor sets
for Unimodal maps
Ergod. Th.
& Dynam .Sys. (1994), 14, 331-349. |
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M. Martens, W. de Melo, S.
van Strien:
Julia-Fatou-Sullivan
theory for real 1-dimensional Dynamics
Acta Math.
vol. 168 (1992),
273-318. |
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M. Martens, S. van Strien, W.
de Melo, P. Mendes:
On Cherry
Flows
Ergod. Th.
& Dynam. Sys. 10 (1990), 531-554. |
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J.M. Aarts, M. Martens:
Flows on one-dimensional
spaces
Fund.
Math. 131 (1988). |
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