Marek R Rychlik

  • 201 Citations
  • 7 h-Index
19882012
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Research Output 1988 2012

  • 201 Citations
  • 7 h-Index
  • 11 Article
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Article
2012

Why is Helfenstein's claim about equichordal points false?

Rychlik, M. R., Jun 28 2012, In : New York Journal of Mathematics. 18, p. 499-521 23 p.

Research output: Contribution to journalArticle

False
Path
2003
5 Citations (Scopus)

On the attractivity of a class of homogeneous dynamic economic systems

Li, W., Rychlik, M. R., Szidarovszky, F. & Chiarella, C., Jun 2003, In : Nonlinear Analysis, Theory, Methods and Applications. 52, 6, p. 1617-1636 20 p.

Research output: Contribution to journalArticle

Attractivity
Economics
Oligopoly
Invariant Manifolds
Dynamical systems
1998
4 Citations (Scopus)

Algebraic non-integrability of the Cohen map

Rychlik, M. R. & Torgerson, M., Apr 13 1998, In : New York Journal of Mathematics. 4, p. 57-74 18 p.

Research output: Contribution to journalArticle

Non-integrability
Invariant Curves
Curve
Uncountable
Integrability
1997
8 Citations (Scopus)

A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck

Rychlik, M. R., Jul 1997, In : Inventiones Mathematicae. 129, 1, p. 141-212 72 p.

Research output: Contribution to journalArticle

Heteroclinic Connection
Jordan Curve
Chord or secant line
Curve
Distinct
1992
20 Citations (Scopus)

Regularity and other properties of absolutely continuous invariant measures for the quadratic family

Rychlik, M. R. & Sorets, E., Nov 1992, In : Communications in Mathematical Physics. 150, 2, p. 217-236 20 p.

Research output: Contribution to journalArticle

Absolutely Continuous Invariant Measure
regularity
Lyapunov Exponent
Regularity
Exactness
19 Citations (Scopus)

Renormalization of cocycles and linear ODE with almost-periodic coefficients

Rychlik, M. R., Dec 1992, In : Inventiones Mathematicae. 110, 1, p. 173-206 34 p.

Research output: Contribution to journalArticle

Periodic Coefficients
Almost Periodic
Cocycle
Renormalization
Attractor
1990
70 Citations (Scopus)

Lorenz attractors through Šill'nikov-type bifurcation. Part I

Rychlik, M. R., 1990, In : Ergodic Theory and Dynamical Systems. 10, 4, p. 793-821 29 p.

Research output: Contribution to journalArticle

Lorenz attractor
Bifurcation
Vector Field
Fixed point
Explosions
1989
25 Citations (Scopus)

Periodic points of the billiard ball map in a convex domain

Rychlik, M. R., 1989, In : Journal of Differential Geometry. 30, 1, p. 191-205 15 p.

Research output: Contribution to journalArticle

Convex Domain
Periodic Points
Billiards
Periodic Orbits
Ball
8 Citations (Scopus)

Regularity of the metric entropy for expanding maps

Rychlik, M. R., 1989, In : Transactions of the American Mathematical Society. 315, 2, p. 833-847 15 p.

Research output: Contribution to journalArticle

Metric Entropy
Expanding Maps
Entropy
Regularity
Perron-Frobenius Operator
1988
40 Citations (Scopus)

Another proof of Jakobson's Theorem and related results

Rychlik, M. R., 1988, In : Ergodic Theory and Dynamical Systems. 8, 1, p. 93-109 17 p.

Research output: Contribution to journalArticle

Absolutely Continuous Invariant Measure
Theorem
Generalization
Family
2 Citations (Scopus)

The wiener lemma and cocycles

Rychlik, M. R., Nov 1 1988, In : Proceedings of the American Mathematical Society. 104, 3, p. 787-792 6 p.

Research output: Contribution to journalArticle

Haar Measure
Cocycle
Unit circle
Lemma
Angle