Michał Misiurewicz

Michał Misiurewicz's AcademicInfluence.com Rankings

Michał Misiurewicz

Mathematics

#3048

World Rank

#4582

Historical Rank

Measure Theory

#1927

World Rank

#2346

Historical Rank

mathematics Degrees

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Mathematics

Michał Misiurewicz's Degrees

PhD Mathematics University of Warsaw

Why Is Michał Misiurewicz Influential?

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According to Wikipedia, Michał Misiurewicz is a Polish mathematician. He is known for his contributions to chaotic dynamical systems and fractal geometry, notably the Misiurewicz point. Misiurewicz participated in the International Mathematical Olympiad for Poland, winning a bronze medal in 1965 and a gold medal in 1966. He earned his Doctorate from University of Warsaw under supervision of Bogdan Bojarski.

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Michał Misiurewicz's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Topological entropy (2008) (647)
Combinatorial Dynamics and Entropy in Dimension One (2000) (514)
Entropy of piecewise monotone mappings (1980) (400)
Periodic points and topological entropy of one dimensional maps (1980) (335)
Absolutely continuous measures for certain maps of an interval (1981) (296)
Rotation Sets for Maps of Tori (1989) (237)
Topological conditional entropy (1976) (147)
Horseshoes for mappings of the interval (1979) (146)
STRANGE ATTRACTORS FOR THE LOZI MAPPINGS (1980) (128)
Horseshoes, entropy and periods for graph maps (1993) (114)
On iterates of ez (1981) (103)
Structure of mappings of an interval with zero entropy (1981) (90)
Rotation sets and ergodic measures for torus homeomorphisms (1991) (90)
Combinatorial patterns for maps of the interval (1991) (89)
Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval (1999) (82)
Periodic orbits of maps of Y (1989) (70)
Rotation sets of toral flows (1990) (63)
Cycles for disk homeomorphisms and thick trees (1993) (62)
Periodic points of maps of degree one of a circle (1982) (60)
Smooth chaotic maps with zero topological entropy (1988) (58)
Dimension of invariant measures for maps with exponent zero (1985) (52)
No division implies chaos (1982) (51)
Rotation intervals for a class of maps of the real line into itself (1986) (43)
Horseshoes for Continuous Mappings of an Interval (2010) (42)
Entropy of transitive tree maps (1997) (40)
On Bowen's definition of topological entropy (2004) (38)
Exact Devaney chaos and entropy (2005) (38)
Periods and entropy for Lorenz-like maps (1989) (35)
ROOTS OF CONTINUOUS PIECEWISE MONOTONE MAPS OF AN INTERVAL (1991) (35)
The trajectory of the turning point is dense for almost all tent maps (1996) (35)
Jumps of entropy in one dimension (1989) (34)
New order for periodic orbits of interval maps (1997) (34)
Absolutely continuous invariant measures for maps with flat tops (1989) (31)
A Strong Hot Spot Theorem (2003) (30)
Twist sets for maps of the circle (1984) (30)
Lower bounds of the topological entropy for continuous maps of the circle of degree one (1988) (29)
ROTATION AND ENTROPY (1999) (29)
Combinatorial dynamics (2005) (29)
Kneading sequences of skew tent maps (1991) (28)
Affine actions of a free semigroup on the real line (2006) (27)
Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point (1985) (27)
Invariant measures for continuous transformations of [0,1] with zero topological entropy (1979) (25)
Permutations and topological entropy for interval maps (2003) (24)
Semiconjugacy to a map of a constant slope (2014) (24)
Chaos almost everywhere (1985) (23)
Horseshoes and Entropy for Piecewise Continuous Piecewise Monotone Maps (1992) (22)
Attractors for unimodal quasiperiodically forced maps (2008) (22)
Random interval homeomorphisms (2012) (21)
Rotation theory (2007) (21)
Strange adding machines (2006) (20)
Family of chaotic maps from game theory (2018) (19)
Existence of a homoclinic point for the Hénon map (1980) (19)
The route to chaos in routing games: When is price of anarchy too optimistic? (2019) (18)
Singular limits of absolutely continuous invariant measures for families of transitive maps (2012) (17)
Iterations of linear maps over finite fields (2006) (17)
Double Standard Maps (2007) (16)
On $n$ numbers on a circle (1988) (16)
No semiconjugacy to a map of constant slope (2014) (15)
Omega-limit sets for the Stein-Ulam spiral map (2010) (15)
Rotation Sets of Billiards with One Obstacle (2005) (15)
Chapter 7 Topological methods in dynamics (2002) (14)
Symbolic dynamics for Lozi maps (2016) (14)
Wild Attractors of Polymodal Negative Schwarzian Maps (1998) (14)
Ergodic natural measures (2005) (13)
At the other side of a saddle-node (1990) (13)
Entropy of twist interval maps (1997) (12)
THIRTY YEARS AFTER SHARKOVSKIĬ'S THEOREM (1995) (12)
Embedding inverse limits interval maps as attractors (1985) (12)
Comparing Periodic Orbits of Maps of the Interval (1992) (12)
LOW-DIMENSIONAL COMBINATORIAL DYNAMICS (1999) (12)
Topological Entropy for Multidimensional perturbations of One-Dimensional Maps (2001) (12)
Remarks on Sharkovsky's theorem (1997) (10)
Collet-Eckmann Maps are Unstable (1998) (10)
Follow-the-Regularized-Leader Routes to Chaos in Routing Games (2021) (10)
CONTINUITY OF ENTROPY REVISITED (1995) (10)
Typical limit sets of critical points for smooth interval maps (2000) (9)
A Short Proof of the Variational Principle for a $\mathbb {Z}_{+}^{N}$ Action on a Compact Space (1975) (9)
Convergence of Images of Certain Measures (1985) (9)
Periodic orbits for interval maps with sharp cusps (1991) (9)
Shear rotation numbers (1997) (9)
Strict inequalities for the entropy of transitive piecewise monotone maps (2005) (9)
Skew product attractors and concavity (2012) (8)
Rotating an interval and a circle (1999) (8)
Julia sets of expanding polymodials (2005) (8)
Possible jumps of entropy for interval maps (2001) (8)
ENTROPY AND OVER-ROTATION NUMBERS FOR INTERVAL MAPS (2001) (7)
Attractors for graph critical rational maps (2002) (7)
Special 𝛼-limit sets (2020) (7)
Microdynamics for Nash maps (2010) (6)
Persistent rotation intervals for old maps (1989) (6)
Periodic points of latitudinal maps of the $m$-dimensionalsphere (2016) (6)
Attracting Cantor set of positive measure for a C∞ map of an interval (1982) (6)
Counting preimages (2017) (6)
Period Adding Phenomenon in 1D Return Maps (1990) (6)
Unimodal interval Maps obtained from the modified Chua equations (1993) (6)
Minor cycles for interval maps (1994) (6)
Lozi-like maps (2017) (6)
Periodic points of latitudinal sphere maps (2014) (6)
Sensitive dependence on parameters (2010) (5)
Shub’s conjecture for smooth longitudinal maps of (2018) (5)
Sets of constant distance from a compact set in 2-manifolds with a geodesic metric (2008) (5)
The route to chaos in routing games: Population increase drives period-doubling instability, chaos & inefficiency with Price of Anarchy equal to one (2019) (5)
Entropy of Maps with Horizontal Gaps (2004) (5)
A fresh look at the notion of normality (2020) (5)
Spaces of transitive interval maps (2014) (5)
A spectral radius estimate and Entropy of Hypercubes (2012) (5)
Badly ordered cycles of circle maps (1998) (5)
Entropy of snakes and the restricted variational principle (1992) (4)
Hopf's theorem on invariant measures for a group of transformations (1982) (4)
Coarse entropy (2020) (4)
Attractors and recurrence for dendrite-critical polynomials (2005) (4)
Dense set of negative Schwarzian maps whose critical points have minimal limit sets (1997) (3)
Primary cycles on the circle (1989) (3)
Planar finitely Suslinian compacta (2007) (3)
Topological entropy of Bunimovich stadium billiards (2020) (3)
On the tip of the tongue (2008) (3)
Irrational Life (2005) (3)
Rigid sets in the plane (1989) (3)
Flexibility of entropies for piecewise expanding unimodal maps (2020) (3)
Branched derivatives (2004) (2)
Rotation Numbers of Projectivities (1995) (2)
Local Critical Perturbations of Unimodal Maps (2009) (2)
Hyperbolic Dynamics in Nash Maps (2010) (2)
A note on a rational difference equation (2011) (2)
Non-generic cusps (2011) (2)
Real saddle-node bifurcation from a complex viewpoint (2008) (2)
Periodic Points for Sphere Maps Preserving Monopole Foliations (2018) (2)
Constant slope maps on the extended real line (2016) (2)
Forcing among patterns with no block structure (2018) (1)
Negative periodic orbits for graph maps (2006) (1)
Spectral radius of a nonnegative matrix: from rome to indy (2013) (1)
PROBLEMS IN DYNAMICAL SYSTEMS AND RELATED TOPICS RAISED IN CONNECTION WITH THE CLAY MATHEMATICS INSTITUTE/MATHEMATICAL SCIENCES RESEARCH INSTITUTE WORKSHOP ON “RECENT PROGRESS IN DYNAMICS” (2006) (1)
Corrigendum to the paper ‘Typical limit sets of critical points for smooth interval maps’ (2003) (1)
Loops of transitive interval maps (2016) (1)
The Dynamics of the Nash Map for 2 By 2 Games (2011) (1)
Farey-Lorenz Permutations for Interval Maps (2018) (1)
Irrational Square Roots (2013) (1)
c-19 – Topological Entropy (2003) (1)
A ug 2 00 5 ROTATION SETS OF BILLIARDS WITH ONE OBSTACLE (0)
Perturbations and transitivity for certain maps of an interval (1982) (0)
Unpredictable dynamics in congestion games: memory loss can prevent chaos (2022) (0)
Noncommutative Algebraic Dynamics: Ergodic Theory for Profinite Groups (2009) (0)
Expansion properties of Double Standard Maps (2020) (0)
Communications in Mathematical Physics Rotation Sets of Billiards with One Obstacle (2006) (0)
Fixed points for positive permutation braids (2012) (0)
Ja n 20 06 AFFINE ACTIONS OF A FREE SEMIGROUP ON THE REAL LINE VITALY BERGELSON (2021) (0)
Linear orderings and the sets of periods for star maps (2003) (0)
In memory of Wiesław Szlenk (1998) (0)
Topological Entropy Of Generalized Bunimovich Stadium Billiards (2022) (0)
Ju l 2 01 8 FAMILY OF CHAOTIC MAPS FROM GAME THEORY (0)
Periodic points of latitudinal sphere maps (2014) (0)
Thirty Years after Sharkovskiĭ's Theorem: New Perspectives: Proceedings of the Conference (1996) (0)
Ability and Diversity of Skills (2023) (0)
Coarse entropy of metric spaces (2021) (0)
Omega-limit sets for spiral maps (2010) (0)
Appendix: Rotation Theory (2000) (0)
PERTURBATIONS OF ONE-DIMENSIONAL MAPS (2000) (0)
Renormalization towers and their forcing (2018) (0)
Planar Finitely Suslinian Compacta Planar Finitely Suslinian Compacta (2006) (0)
Euler approximations can destroy unbounded solutions (2010) (0)
ONE-DIMENSIONAL DYNAMICS (2013) (0)
Turning numbers for periodic orbits of disk homeomorphisms (2013) (0)
Appendix: Graph maps (2000) (0)
Periodic Points for Sphere Maps Preserving Monopole Foliations (2018) (0)
UNPREDICTABILITY IN CONGESTION GAMES: MEMORY LOSS CAN PREVENT CHAOS (2022) (0)
Concavity Implies Attraction (0)
Turning numbers for periodic orbits of disk homeomorphisms (2013) (0)
16:00-17:00 Not-quite-holomorphic dynamics (2003) (0)
Travel in an Infinite Desert (2022) (0)

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