Michal Misiurewicz's list of publications
(including preprints)
- On some imbeddings of lattices into the normal lattices,
Bull. Acad. Pol. Sci., Ser. sci. math., astr. et phys. 17
(1969), 431--436
- On expanding maps of compact manifolds and local
homeomorphisms of a circle, ibid. 18 (1970), 725--732
- On non-continuity of topological entropy, ibid. 19
(1971), 319--320
- Diffeomorphism without any measure with maximal entropy,
ibid. 21 (1973), 903--910
- Topological conditional entropy, Studia Math. 55
(1976), 175--200
- A short proof of the variational principle for a Z^N_+
action on a compact space, Asterisque 40 (1976), 147--157
- Entropy of piecewise monotone mappings (with W. Szlenk),
ibid. 50 (1977), 299--310 (this is a short version of 13.)
- Topological entropy and degree of smooth mappings (with F.
Przytycki), Bull. Acad. Pol. Sci., Ser. sci. math., astr. et phys.
25 (1977), 573--574
- Entropy conjecture for tori (with F. Przytycki), ibid.,
575--578
- Horseshoes for mappings of the interval, ibid. 27
(1979), 167--169 (this is a short version of 11.)
- Horseshoes for continuous mappings of an interval, in
"Dynamical Systems", Liguori Editore, Napoli 1980, pp. 127--135
- Invariant measures for continuous transformations of [0,1]
with zero topological entropy, in "Ergodic Theory" (Lecture Notes
in Math. 729), Springer, Berlin 1979, pp. 144--152
- Entropy of piecewise monotone mappings (with W. Szlenk),
Studia Math. 67 (1980), 45--63
- Existence of a homoclinic point for the Henon map (with
B. Szewc), Commun. Math. Phys. 75 (1980), 285--291
- Strange attractors for the Lozi mappings, Ann. New York
Acad. Sci. 357 (1980) ("Nonlinear Dynamics"), 348--358
- Periodic points and topological entropy of one dimensional
maps (with L. Block, J. Guckenheimer and L.-S. Young), in "Global
Theory of Dynamical Systems", (Lecture Notes in Math. 819),
Springer, Berlin 1980, pp. 18--34
- Structure of mappings of an interval with zero entropy,
Publ. Math. IHES 53 (1981), 5--16
- Absolutely continuous measures for certain maps of an
interval, ibid., 17--51
- On iterates of e^z, Ergod. Th. & Dynam. Sys. 1
(1981), 103--106
- Hopf's theorem on invariant measures for a group of
transformations (with D. Ramachandran), Studia Math. 74
(1982), 183--189
- Topological entropy and metric entropy, in "Theorie
Ergodique", L'Enseigment Math., Geneve 1981, pp. 61--66
- The result of Rafal Kolodziej, ibid., pp. 57--60
- Odd chaos (with T.-Y. Li, G. Pianigiani and J. Yorke),
Phys. Lett. A 87 (1982), 271--273
- No division implies chaos (with T.-Y. Li, G. Pianigiani and
J. Yorke), Trans. Amer. Math. Soc. 273 (1982), 191--199
- Periodic points of maps of degree one of a circle, Ergod.
Th. & Dynam. Sys. 2 (1982), 221--227
- Perturbations and transitivity for certain maps of an
interval, ibid., 229--240
- Attracting Cantor set of positive measure for a C^infinity
map of an interval, ibid., 405--415
- Maps of an interval, in "Chaotic behaviour of deterministic
systems", North-Holland 1983, pp. 565--590
- Twist sets for maps of the circle, Ergod. Th. & Dynam. Sys.
4 (1984), 391--404
- Convergence of images of certain measures (with A. Zdunik),
in "Statistical Physics and Dynamical Systems" (Progress in Phys.
10), Birkhauser 1985, pp. 203--219
- Embedding inverse limits of interval maps as attractors,
Fundam. Math. 125 (1985), 23--40
- One-dimensional dynamical systems, in "Proceedings of
International Congress of Mathematicians, Warszawa 1983", PWN 1984,
pp. 1277--1281
- Twist periodic orbits and topological entropy for continuous
maps of the circle of degree one which have a fixed point (with Ll.
Alseda, J. Llibre and C. Simo), Ergod. Th. & Dynam. Sys. 5
(1985), 501--517
- Twist periodic orbits and topological entropy for continuous
maps of the circle of degree one which have a fixed point (with Ll.
Alseda, J. Llibre and C. Simo), in: Actas VII Congr. Ecuac. Diff.
y Appl., Univ. de Granada 1985 (this is a short version of 33.)
- Dimension of invariant measures for maps with exponent zero
(with F. Ledrappier), Ergod. Th. & Dynam. Sys. 5 (1985), 595--610
- Rotation intervals for a class of maps of the real line into
itself, ibid., 6 (1986), 117--132
- Chaos almost everywhere, in "Iteration Theory and its
Functional Equations" (Lecture Notes in Math. 1163), Springer,
Berlin 1985, pp. 125--130
- Remark on the definition of topological entropy, in
"Dynamical Systems and Partial Differential Equations", Caracas
1986, pp. 65--68
- Rate of convergence for computing entropy of some
one-dimensional maps (with K. Ziemian), in "Ergodic Theory and
Related Topics II", (Teubner-Texte zur Math. 94), Leipzig 1987,
pp. 147--159
- Lower bounds of the topological entropy for continuous maps of
the circle of degree one (with Ll. Alseda, J. Llibre and F.
Manosas),
Nonlinearity
1 (1988), 463--479
- Smooth chaotic maps with zero topological entropy (with J.
Smital), Ergod. Th. & Dynam. Sys. 8 (1988), 421--424
- Primary cycles on the circle (with L. Block, E. Coven and
L. Jonker), Trans. Amer. Math. Soc. 311 (1989), 323--335
- Jumps of entropy in one dimension, Fundam. Math. 132
(1989), 215--226
- Periodic orbits of maps of Y (with Ll. Alseda and J.
Llibre), Trans. Amer. Math. Soc. 313 (1989), 475--538
- Periodic and strange attractors in a model of a chemical
system (with A.L. Kawczynski and K.W. Leszczynski), Polish J.
Chem. 63 (1989), 239--247
- Absolutely continuous invariant measures for maps with flat
tops (with M. Benedicks), Publ. Math. IHES 69 (1989), 203--213
- On n numbers on a circle (with A. Schinzel), Hardy -
Ramanujan Journal 11 (1988), 30--39
- Formalism for studying periodic orbits of one dimensional
maps, in "European Conference on Iteration Theory (ECIT 87)", World
Scientific, Singapore 1989, pp. 1--7
- Cycles for degree -1 circle maps (with K. Ziemian), in
"European Conference on Iteration Theory (ECIT 87)", World
Scientific, Singapore 1989, pp. 8--25
- Topological entropy for circle maps of degree one (with Ll.
Alseda, J. Llibre and F. Manosas), in "European Conference on
Iteration Theory (ECIT 87)", World Scientific, Singapore 1989, pp.
382--391 (this is a short version of 40.)
- Persistent rotation intervals for old maps, in "Dynamical
Systems and Ergodic Theory", Banach Center Publ. 23, PWN,
Warsaw 1989, pp. 119--124
- Rigid sets in the plane (with J. Aaronson and S. Glasner),
Israel J. Math. 68 (1989), 307--326
- Periods and entropy for Lorenz-like maps (with Ll.
Alseda, J. Llibre and C. Tresser), Ann. Inst. Fourier 39
(1989), 929--952
- Rotation sets of toral flows (with J. Franks), Proc. Amer.
Math. Soc. 109 (1990), 243--249
- Rotation sets for maps of tori (with K. Ziemian), J. London
Math. Soc. (2) 40 (1989), 490--506
- At the other side of a saddle-node (with A. L.
Kawczynski), Commun. Math. Phys. 131 (1990), 605--617
- Period adding phenomenon in 1D return maps (with A. L.
Kawczynski), Z. Phys. Chemie (Leipzig) 271 (1990) 5, 1037--1046
- Monotonicity properties of the family of trapezoidal maps
(with K. Brucks and C. Tresser), Commun. Math. Phys. 137 (1991),
1--12
- Roots of continuous piecewise monotone maps of an interval
(with A. Blokh, E. Coven and Z. Nitecki), Acta Math. Univ. Comenianae
60 (1991), 3--10
- Rotation sets and ergodic measures for torus homeomorphisms
(with K. Ziemian), Fundam. Math. 137 (1991), 45--52
- Entropy of piecewise continuous interval maps (with S. V.
Shlyachkov), in "European Conference on Iteration Theory, ECIT 89",
World Scientific, Singapore, 1991, pp. 239--245
- Pushing inward, in "European Conference on Iteration Theory,
ECIT 89", World Scientific, Singapore, 1991, pp. 371--375
- Combinatorial patterns for maps of the interval (with Z.
Nitecki), Mem. Amer. Math. Soc. 94 (1991), no. 456
- Kneading sequences of skew tent maps (with E. Visinescu),
Ann. Inst. H. Poincare, Probab. Stat. 27 (1991), 125--140
- Periodic orbits for interval maps with sharp cusps (with A.
L. Kawczynski), Physica D 52 (1991), 191--203
- Comparing periodic orbits of maps of the interval (with C.
Bernhardt, E. Coven and I. Mulvey), Trans. Amer. Math. Soc. 333
(1992), 701--707
- Entropy of snakes and the restricted variational principle
(with J. Tolosa), Ergod. Th. & Dynam. Sys. 12 (1992), 791--802
- Horseshoes and entropy for piecewise continuous piecewise
monotone maps (with K. Ziemian), in "From phase transitions to
chaos", World Scientific, Singapore 1992, pp. 489--500
-
Combinatorial Dynamics and Entropy in Dimension One (with
Ll. Alseda and J. Llibre), World Scientific (Advanced Series in
Nonlinear Dynamics, vol. 5) 1993, Second Edition 2000
- Horseshoes, entropy and periods for graph maps (with J.
Llibre), Topology 32 (1993), 649--664
- Unimodal interval maps obtained from the modified Chua
equations, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 3
(1993), 323--332
- Cycles for disk homeomorphisms and thick trees, (with J.
Franks), in "Nielsen Theory and Dynamical Systems Conference
Proceedings", Contemporary Math. 152 (1993), 69--139
- Minor cycles for interval maps, Fundam. Math. 145
(1994), 281--304
- Rotation numbers of projectivities (with M. Frantz), J. Math.
Anal. Appl. 194 (1995), 823--844
- Thirty years after Sharkovskii's Theorem, Internat.
J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), 1275--1281
- Continuity of entropy revisited, in "Dynamical Systems and
Applications" (World Scientific Series in Applicable Analysis,
vol. 4), World Scientific, Singapore, 1995, pp. 495--503
- Lacing irregular shoes, Math. Inteligencer 18 No. 4
(1996), 32--34
- Entropy of transitive tree maps (with Ll. Alseda, S. Baldwin
and J. Llibre), Topology 36 (1997), 519--532
- Trajectory of the turning point is dense for almost all tent
maps (with K. Brucks), Ergod. Th. & Dynam. Sys. 16 (1996),
1173--1183
- New order for periodic orbits of interval maps (with A. Blokh),
Ergod. Th. & Dynam. Sys. 17 (1997), 565--574
- Dense set of negative Schwarzian maps whose critical points
have minimal limit sets (with A. Blokh), Discrete
Contin. Dynam. Sys. 4 (1997), 141--158
- Entropy and over-rotation numbers for interval maps (with
A. Blokh), Proc. Steklov Inst. Math. 216 (1997), 229--235
- Remarks on Sharkovsky's Theorem, Amer. Math. Monthly
104 (1997), 846--847
- Shear rotation numbers (with E. Doeff),
Nonlinearity
10 (1997), 1755--1762
- Entropy of twist interval maps (with A. Blokh),
Isr. J. Math. 102 (1997), 61--100
- Collet-Eckmann maps are unstable (with A. Blokh),
Commun. Math. Phys.
191 (1998), 61--70
- Badly ordered cycles of circle maps (with Ll. Alseda and
J. Llibre), Pacific J. Math.
184
(1998), 23--41
- Rotating an interval and a circle (with A. Blokh),
Trans. Amer. Math. Soc.
351 (1999), 63--78
- Wild attractors of polymodal negative Schwarzian maps (with
A. Blokh), Commun. Math. Phys.
199 (1998), 397--416
- Rotation and entropy (with W. Geller),
Trans. Amer. Math. Soc.
351 (1999), 2927--2948
- Topological entropy of nonautonomous piecewise monotone dynamical
systems on the interval (with S. Kolyada and L.Snoha), Fundam. Math.
160
(1999), 161--181
- Low-dimensional Combinatorial Dynamics (with Ll. Alseda and
J. Llibre), Internat. J. Bifur. Chaos Appl. Sci. Engrg.
9
(1999), 1687--1704
- Typical limit sets of critical points for smooth interval
maps (with A. Blokh),
Ergod. Th. & Dynam. Sys. 20 (2000), 15--45
- Topological entropy for multidimensional perturbations of one-dimensional
maps (with P. Zgliczynski), Internat. J. Bifur. Chaos Appl. Sci. Engrg.
11
(2001), 1443--1446
- Rotation numbers for certain maps of an n-od (with A. Blokh), Topol. Appl.
114
(2001), 27--48
- Combinatorial Dynamics,
Topology Atlas Invited Contributions
6 (2001), 1--3
-
Attractors for graph critical rational maps (with A. Blokh),
Trans. Amer. Math. Soc. 354 (2002), 3639--3661
- Possible jumps of entropy for interval maps,
Qualit. Th. Dyn.
Sys. 2 (2001), 289--306
- Topological Methods in Dynamics (with J. Franks), in
"Handbook of Dynamical Systems", vol. 1A, eds. B. Hasselblatt and
A. Katok, Elsevier, Amsterdam 2002, pp. 547--598
- Permutations and topological entropy for interval maps,
Nonlinearity
16 (2003), 971--976
- Linear orderings and the sets of periods for star maps
(with Ll. Alseda), J. Math. Anal.
Appl. 285 (2003), 50--61
- On Bowen's definition of topological entropy, Discrete Contin.
Dyn. Syst., Ser. A, 10 (2004), 827--833
- Topological entropy, in "Encyclopedia
of General Topology", eds. K. P. Hart, J. Nagata and J. E.
Vaughan, Elsevier, Amsterdam 2003, pp. 147--149
- Entropy of maps with horizontal gaps,
Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14
(2004), 1489--1492
- Expanding polymodials (with A. Blokh and C. Cleveland), in
"Modern Dynamical Systems and Applications", eds. M. Brin,
B. Hasselblatt and Ya. Pesin, Cambridge University Press, Cambridge,
2004, pp. 253--270
- Real 3x+1 (with A. Rodrigues), Proc. Amer. Math. Soc. 133
(2005), 1109--1118 (
posted electronically on October 15, 2004)
- Branched derivatives (with A. Blokh),
Nonlinearity
18 (2005), 703--715 ( posted
electronically on December 13, 2004)
- Attractors and recurrence for dendrite-critical polynomials
(with A. Blokh), J.
Math. Anal. Appl. 306 (2005), 567--588
- Strict inequalities for the entropy of transitive piecewise
monotone maps (with P. Raith), Discrete Contin. Dynam. Sys. 13 (2005), 451--468
- Ergodic natural measures, in "Algebraic and Topological
Dynamics" (Contemporary Mathematics 385),
eds. S. Kolyada, Y. Manin and T. Ward, Amer. Math. Soc., Providence,
RI (2005), pp. 1--6
- Irrational
Life (with W. Geller), Experimental Math.
14 (2005), 271--275
- Iterations of linear maps over finite fields
(with J. G. Stevens and D. M. Thomas), Linear Algebra Appl. 413
(2006), 218--234 (posted electronically on October 25, 2005)
- Julia sets of expanding polymodials (with A. Blokh and C.
Cleveland), Ergod. Th. & Dynam. Sys. 25
(2005), 1691--1718 (posted electronically on November 16, 2005)
- Negative
periodic orbits for graph maps (with J. Llibre),
Nonlinearity 19 (2006), 741-746 (posted electronically on
February 6, 2006)
- A Strong Hot Spot Theorem (with D. H. Bailey), Proc. Amer.
Math. Soc. 134 (2006), 2495-2501 (
posted electronically on March 22, 2006)
- Strange Adding Machines (with L. Block and J. Keesling),
Ergod. Th. & Dynam. Sys. 26 (2006), 673-682 (
posted electronically on March 24, 2006)
- Rotation sets of billiards with one obstacle
(with A. Blokh and N. Simanyi), Commun. Math. Phys. 266
(2006), 239-265 (
posted electronically on April 14, 2006)
- Exact Devaney chaos and entropy (with D. Kwietniak),
Qualit. Th. Dyn. Sys. 6 (2005), 169-179
- Affine actions of a free semigroup on the real line (with
V. Bergelson and S. Senti), Ergod. Th. & Dynam. Sys. 26 (2006),
1285 - 1305
- Double standard maps (with A. Rodrigues), Commun. Math.
Phys. 273 (2007), 37-65
(
posted electronically on March 13, 2007)
- Dynamics of the Nash map in the game of Matching Pennies
(with R. A. Becker, S. K. Chakrabarti, W. Geller and B. Kitchens),
J. Difference Equ. Appl. 13 (2007), 223-235
-
Planar finitely Suslinian compacta (with A. Blokh and L.
Oversteegen), Proc. Amer. Math.Soc. 135 (2007), 3755-3764
(posted electronically on August 15, 2007)
- Combinatorial
Dynamics, Scholarpedia, 2(10):3228 (2007)
- Rotation
Theory, Scholarpedia, 2(10):3873 (2007)
- Topological
entropy (with R. Adler and T. Downarowicz), Scholarpedia, 3(2):2200 (2008)
-
On the tip of the tongue (with A. Rodrigues), J. Fixed
Point Theory Appl. 3 (2008), 131-141 (posted electronically on
April 1, 2008)
-
Real saddle-node bifurcation from a complex viewpoint (with
R. A. Perez), Conform. Geom. Dyn. 12 (2008), 97-108
-
Attractors for unimodal quasiperiodically forced maps (with
Ll. Alseda), J. Difference Equ. Appl. 14 (2008), 1175-1196
-
Sets of constant distance from a compact set in 2-manifolds with a
geodesic metric (with A. Blokh and L. Oversteegen),
Proc. Amer. Math. Soc. 137 (2009), 733-743
(posted electronically on October 8, 2008)
-
Local critical perturbations of unimodal maps (with A.
Blokh), Commun. Math. Phys. 289 (2009), 765-776 (posted
electronically on January 13, 2009)
-
Omega-limit sets for spiral maps (with B. Kitchens),
Discrete Contin. Dynam. Sys. 27 (2010), 787 - 798 (posted
electronically on February 25, 2010)
- Omega-limit sets for the Stein-Ulam Spiral map (with K.
Baranski), Topology Proceedings
36
(2010), 145 - 172 (posted electronically on March 2, 2010)
-
Microdynamics for Nash maps (with W. Geller and B.
Kitchens), Discrete Contin. Dynam. Sys. 27 (2010), 1007 - 1024
(posted electronically on March 31, 2010)
- Euler approximations can destroy unbounded solutions (with
R. T. Guy), Fasciculi Mathematici
44
(2010), 43 - 52
- Sensitive dependence on parameters, J. Math. Phys.
51
(2010), 102704 (12 pages) (posted electronically on October 22, 2010)
-
A note on a rational difference equation (with Ll. Alseda),
J. Difference Equ. Appl. 17 (2011), 1711 - 1713 (posted
electronically on February 23, 2011)
-
Non-generic cusps (with A. Rodrigues), Trans. Amer. Math. Soc.
363 (2011), 3553 - 3572 (posted electronically on February 18, 2011)
-
Singular limits of absolutely continuous invariant measures for
families of transitive maps (with P. Eslami), J. Difference
Equ. Appl. 18 (2011), 739 - 750 (posted electronically on July
4, 2011)
-
Hyperbolic dynamics in Nash maps (with R. A. Becker,
S. K. Chakrabarti, W. Geller and B. Kitchens), in: Discrete Dynamics
and Difference Equations (Proceedings of the Twelfth International
Conference on Difference Equations and Applications), World
Scientific, Singapore 2010, pp. 15 - 45
-
The dynamics of the Nash map for 2 by 2 games (with R. A.
Becker, S. K. Chakrabarti, W. Geller and B. Kitchens), in: Dynamics,
Games and Science II, Springer Proceedings in Mathematics, 2011,
Volume 2, pp. 549 - 565
-
Fixed points for positive permutation braids (with A.
Rodrigues), Fund. Math. 216 (2012), 129 - 146
-
A spectral radius estimate and entropy of hypercubes (with
W. Geller, B. Kitchens and M. Rams), J. Bifur. Chaos Appl. Sci. Engrg.
22 (2012), 1250096 (6 pages)
- Irrational square roots, College Math. J.
44 (2013),
53 - 55
-
Turning numbers for periodic orbits of disk homeomorphisms
(with A. Rodrigues), J. Fixed Point Th. Appl. 13 (2013), 241
- 258 (posted electronically on April 26, 2013)
-
Spectral radius of a nonnegative matrix: from Rome to Indy,
Proc. Amer. Math. Soc. 141 (2013), 3977 - 3983 (posted
electronically on July 30, 2013)
- Random interval homeomorphisms (with Ll. Alseda),
Proceedings of New Trends in Dynamical Systems. Salou,
2012, Publ. Mat. (2014), 15 - 36
-
Spaces of transitive interval maps (with S. Kolyada and L.
Snoha), Ergod. Th. & Dynam. Sys. 35 (2015), 2151 - 2170 (posted
electronically on August 5, 2014)
-
Skew Product Attractors and concavity (with Ll. Alseda),
Proc. Amer. Math. Soc. 143 (2015), 703 - 716 (posted
electronically on October 3, 2014)
-
Periodic points of latitudinal sphere maps, J. Fixed Point
Th. Appl. 16 (2014) 149 - 158 (posted electronically on November 5, 2014)
-
No semiconjugacy to a map of constant slope (with S. Roth),
Ergod. Th. & Dynam. Sys. 36 (2016), 875 - 889 (posted
electronically on November 10, 2014)
-
Semiconjugacy to a map of a constant slope (with Ll.
Alseda), Discrete Contin. Dynam. Sys. B 20 (2015), 3403 - 3413
(posted electronically on September 30, 2015)
- Loops of transitive interval maps (with S. Kolyada and L.
Snoha), in: Dynamics
and Numbers, Contemporary Math. 669, Amer. Math. Soc.,
Providence, RI, 2016, pp. 137 - 154
-
Symbolic dynamics for Lozi maps (with S. Stimac),
Nonlinearity 29 (2016), 3031 - 3046 (posted electronically on
August 19, 2016)
-
Periodic points of latitudinal maps of the m-dimensional sphere
(with G. Graff and P. Nowak-Przygodzki), Discrete Contin. Dynam. Sys.
A 36 (2016), 6187 - 6199 (posted electronically on August 31, 2016)
-
Counting preimages (with A. Rodrigues), Ergod. Th. & Dynam.
Sys. 38 (2018), 1837 - 1856, (posted electronically on January 24, 2017)
-
Constant slope maps on the extended real line (with S.
Roth), Ergod. Th. & Dynam. Sys. 38 (2018), 3145 - 3169 (posted
electronically on May 2, 2017)
- Entropy
locking (with D. Cosper) Fund. Math. 241 (2018), 83 -
96 (posted electronically on September 25, 2017)
- Farey-Lorenz
permutations for interval maps (with W. Geller), Internat. J.
Bifur. Chaos Appl. Sci. Engrg. 28 (2018), 1850021 [7 pages]
- Shub's
conjecture for smooth longitudinal maps of Sm (with
G. Graff and P. Nowak-Przygodzki), J. Difference Equ. Appl. 24
(2018), 1044 - 1054 (posted electronically on March 25, 2018)
- Lozi-like
maps (with S. Stimac), Discrete Contin. Dynam. Sys. A 38
(2018), 3003 - 3023
- Periodic
points for sphere maps preserving monopole foliations (with G.
Graff and P. Nowak-Przygodzki), Qualit. Th. Dyn. Sys. (posted
electronically on November 27, 2018)
- Forcing among patterns with no block structure (with A.
Blokh), Topology
Proceedings 54 (2019), 125 - 137 (posted electronically on
December 21, 2018)
-
Renormalization towers and their forcing (with A. Blokh),
Trans. Amer. Math. Soc. 372 (2019), 8933 - 8953 (posted
electronically on August 20, 2019)
- Special
α-limit sets (with S. Kolyada and L. Snoha), in:
"Dynamics: Topology and Numbers", Contemporary Math. 774
(2020), 157 - 173
-
Family of chaotic maps from game theory (with T. Chotibut,
F. Falniowski and G. Piliouras), Dynamical Systems 36 (2021),
48 - 63
-
A fresh look at the notion of normality (with V. Bergelson and
T. Downarowicz), Ann. Sc. Norm. Super. Pisa Cl. Sci. 21 (2020),
27 - 88
-
Topological entropy of Bunimovich stadium billiards (with
H.-K. Zhang), Pure and Applied Functional Analysis 6 (2021),
221 - 229
-
Coarse entropy (with W. Geller), Fund. Math. 255
(2021), 91 - 109
-
The route to chaos in routing games: When is price of anarchy too
optimistic? (with T. Chotibut, F. Falniowski and G.
Piliouras), Advances in Neural Information Processing Systems 33
(NeurIPS 2020), 766 - 777
-
Follow-the-Regularized-Leader Routes to Chaos in Routing
Games (with J. Bielawski, T. Chotibut, F. Falniowski, G.
Kosiorowski and G. Piliouras), Proceedings of the 38th International
Conference on Machine Learning, PMLR 139 (2021), 925 - 935
-
Expansion properties of double standard maps
(with M. Benedicks and A. Rodrigues), Ergod. Th. & Dynam.
Sys. 43 (2023), 2549 - 2588
(posted electronically on July 5, 2022)
-
Travel in an infinite desert (with W. Geller),
Amer. Math. Monthly 129 (2022), 913 - 923
-
Ability and diversity of skills (with W. Geller),
Notices Amer. Math. Soc. 70 (2023), 60 - 66 (posted
electronically on December 20, 2022)
- Flexibility of entropies for piecewise expanding unimodal
maps (with Ll. Alseda and R. Perez), in: A vision for dynamics in
the 21st century. The legacy of Anatole Katok, Cambridge University
Press, 2024, pp. 48 - 66
-
Memory loss can prevent chaos in games dynamics (with J.
Bielawski, T. Chotibut, F. Falniowski and G. Piliouras),
Chaos 34 (2024), 013146
-
Coarse entropy of metric spaces (with W. Geller and D.
Sawicki), Geometriae Dedicata 218 (2024), article number 99
-
Topological entropy of generalized Bunimovich stadium
billiards (with H.-K. Zhang), Difference Equations, Discrete
Dynamical Systems and Applications, Springer, 2024, pp. 131-142
-
Evolution of the Sharkovsky Theorem (with A. Blokh),
Ukrainian Math. J. 76 (2024), 48-61
Preprints
- Heterogeneity, Reinforcement Learning and Chaos in Population
Games (with J. Bielawski, T. Chotibut, F. Falniowski and G.
Piliouras):
abstract,
PDF file (main text),
PDF file (supplementary information)
- Holes, nonconvexity, and curvature in metric space (with W.
Geller):
abstract,
PDF file
- The real teapot (with Ll. Alseda, J. Bobok and L. Snoha):
abstract,
PDF file
Back to the home page of Michal Misiurewicz
Last updated: October 17, 2024