My
coauthors (in alphabetical order): Lluis Alseda (Universitat
Autonoma de Barcelona), Adam Bartoš (Charles University in Prague), Alexander
Blokh (Alabama University at Birmingham), Henk Bruin (University of Vienna), Jernej Činč
(University of Vienna and
IT4Innovations University of Ostrava), Jan Dudák
(Czech Technical University in Prague), Milan Kuchta
(Slovak Academy of Sciences), Radek Marciňa
(Charles University in Prague), Ivo Marek (Czech Technical University in
Prague), Jan van Mill (University of
Amsterdam), Michal Misiurewicz (Purdue
University Indianapolis at Indianapolis), Zbigniew Nitecki (Tufts University in Boston), Piotr Oprocha (AGH University of Science and Technology and IT4Innovations University of Ostrava), Pavel Pyrih (Charles
University in Prague), Samuel Roth (Silesian
University in Opava), Lubomír Snoha (Matej Bel University in Banská Bystrica),
Martin Soukenka (Czech Technical University in
Prague), Serge Troubetzkoy (Aix
Marseille Université), Benjamin Vejnar (Charles
University in Prague), Ondřej Zindulka (Czech Technical
University in Prague)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Submitted:
·
J. B. (with J. Činč, P. Oprocha, S. Troubetzkoy), Interval maps with dense periodicity, Submitted to Advances of Mathematics, June 2024, 29pp. C
·
J. B. (with J. Činč, P. Oprocha, S. Troubetzkoy), On Lebesgue measure preserving Besicovitch functions, submitted to Fundamenta Mathematicae, February 2026,
12pp.
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Published:
57. J. B., Corrigendum
to 'On spaceability of Besicovitch functions', [C. R. Acad. Bulg.
Sci. 68(8)(2015), 957--966], C. R. Acad. Bulg. Sci. 79(5)(2026),
557--560.
56. J. B. (with J. Činč,
P. Oprocha, S. Troubetzkoy), The generic continuous Lebesgue
measure preserving
interval map is nowhere monotone but invertible a.e.,
to appear in Studia Mathematica, 2026, 16pp.
55. J. B. (with J.
Dudák), Space of Besicovitch functions isometric to
$\boldsymbol{c}$, Bull. Belg. Math. Soc. Simon Stevin 33(2026), 138--144.
54. J. B. (with
Ll. Alseda, M. Misiurewicz,
Ľ. Snoha), The real teapot, Ergodic Th.
and Dynamical
Sys. 45(10)(2025), 2945—2975. C
53. J. B. (with J. Činč, P. Oprocha, S. Troubetzkoy),
Are generic dynamical
properties stable under
composition with rotations? Proceedings of A.M.S.
152(7)(2024),
3011-3026. C
52. J.
B. (with J. Činč, P. Oprocha, S. Troubetzkoy),
Continuous Lebesgue
measure
preserving maps on one-dimensional manifolds: a survey, Topology
Appl.
364(4)(2025), 109101. C
51. J.
B. (with J. Činč, P. Oprocha, S. Troubetzkoy),
S-limit shadowing is generic for
continuous Lebesgue measure preserving circle maps, Ergodic Theory and
Dynamical
Systems 43(2023), 78-98. ISSN
0143-3857. C
50.
J. B. (with S. Troubetzkoy),
Topologically weakly
mixing polygonal billiards,
Proc.Amer.Math.Soc. 151(8)(2023), 3391-3400, ISSN 0002-9939.
. 47. J. B. (with A.
Bartoš, P. Pyrih, S. Roth, and B. Vejnar), Constant slope, entropy
and horseshoes for a map on a tame graph, Ergodic Th. and Dynamical Sys.
40(11)(2020),
2970-2994, ISSN 0143-3857. C
46. J. B. (with A. Bartoš, van Mill, P.
Pyrih and B. Vejnar), Compactifiable classes of
compacta,
Topology and its Applications 266(2019),
106836, ISSN 0166-8641. C
45. J. B. (S.
Roth), The infimum of Lipschitz constants in the conjugacy class
of
an interval map, Proc.Amer.Math.Soc.
147(1)(2019),
255-269, ISSN 0002-9939. C
44. J. B. (with
P. Pyrih, B. Vejnar), On minimal homemorphisms
on Peano continua,
Topology
and its Applications 210 (2016), 263–268, ISSN 0166-8641.
43. J. B. (with
H. Bruin) Constant slope maps and the Vere-Jones classification,
Entropy
18(6)(2016), doi:10.3390/e18060234,
27 pp., ISSN 1099-4300.
42. J. B.
(with P. Pyrih and B. Vejnar), Non-cut points, shore and non-block points in
continua, Glasnik
Matematicki 51(1)(2016),
237-253, ISSN 0017-095X.
41. J. B. (with P. Pyrih and B. Vejnar), On blockers in continua, Topology and its Applications 202(2016), 346-355, ISSN 0166-8641.
40. J. B., On spaceability of Besicovitch functions, Comptes rendus de l'Académie
Bulgare des Sciences 68(8)(2015), 957-966, ISSN 1310–1331.
39. J. B. (with S. Troubetzkoy), Homotopical rigidity of polygonal billiards, Topology and its Applications 173(2014), 308-324, ISSN 0166-8641.
38. J. B. (with R. Marciňa, P. Pyrih and B. Vejnar), Union of shore sets in a dendroid, Topology and its Application 161(2014), 206-214, ISSN 0166-8641.
37. J. B. (with P. Pyrih and B. Vejnar), Half-homogeneous chainable continua with
end points, Topology and its Applications 160 (2013), 1066-1073, ISSN 0166-
8641.
36. J. B., Semiconjugacy to a map of a constant slope, Studia Mathematica 208
(2012), 213-228, ISSN 0039-3223.
35. J. B. (with S. Troubetzkoy), Code & Order in polygonal billiards, Topology
and its Applications 159 (2012), 236-247, ISSN 0166-8641.
34. J. B. (with H. Bruin), The topological entropy of Banach spaces, Journal of
Difference Equations and Applications 18(4)(2012), 569-578, ISSN 1023-6198.
33. J. B. (with I. Marek), Monotony of solutions of some difference and differential
equations, Lin. Alg. and its Appl. 436(10) (2012), 3919-3929, ISSN 0024-3795.
32. J. B. (with M. Soukenka), On piecewise affine interval maps with countably many
laps, Discr. and Cont. Dynam. Sys.-A 31(3) (2011), 753-762, ISSN 1078-0947.
31. J. B. (with M. Soukenka), Irreducibility, infinite level sets and small entropy, Real
Analysis Exchange 36(2) (2011), 449-462, ISSN 0147-1937.
30. J. B. (with S. Troubetzkoy), Does a billiard orbit determine
its (
Fundamenta Mathematicae 212 (2011), 129-144, ISSN 0016-2736.
29. J. B. (with A. Blokh), Asymptotic Behaviour of the Entropy of Interval Maps, \
Journal of Differ. Eq. and Appl. 15(1) (2009), 1-11, ISSN 1023-6198.
28. J. B., Infinite dimensional Banach space of Besicovitch functions, Real Analysis
Exchange 32(2007), 319-333, ISSN 0147-1937.
27. J. B. (with Z. Nitecki), Topological Entropy of m-fold Maps on Trees, Ergodic
Theory and Dynamical Systems 27(2007), 671-701,ISSN 0143-3857.
26. J. B., On One-Parameter Families of Unimodal Maps, Collection of papers,
Congratulations to K. Rektorys' birthday, 21-31.
25. J. B., On Multidimensional omega-Chaos, International Journal of Bifurcation and
Chaos 16(3)(2006), 737-740, ISSN 0218-1274.
24. J. B., Forcing relation on interval patterns, Fundamenta Mathematicae 187 (2005),
37-60, ISSN 0016-2736.
23. J. B., On a space of Besicovitch functions, Real Analysis Exchange
30(1)(2004/2005), 173-182, ISSN 0147-1937.
22. J. B. (with Z. Nitecki), Topological Entropy of m-fold Maps, Ergodic Theory and
Dynamical Systems 25(2)(2005), 375-401, ISSN 0143-3857.
21. J. B., The topological entropy versus level sets for interval maps (part II), Studia
Mathematica 166(2005), 11-27, ISSN 0039-3223.
20. J. B., Strictly ergodic patterns and entropy for interval maps, Acta Math.
Comenianae LXXII (1) (2003), 1-8, ISSN 0862-9544.
19. J. B., On Lipschitz extension of interval maps, Qualitative Theory of Dynamical
Systems 4 (2) (2003), 17-30, ISSN 1575-5460.
18. J. B., Twist systems on the interval, Fundamenta Mathematicae 175(2) (2002), 97-
117, ISSN 0016-2736.
17. J. B., The topological entropy versus level sets for interval maps Studia
Mathematica 152(3) (2002), 249-261, ISSN 0039-3223.
16. J. B., Chaos in countable dynamical system, Topology and its Applications 126(1-
2) (2002), 207-216, ISSN 0166-8641.
15. J. B. (with M. Kuchta), Irrational twist systems for interval maps, Real Analysis
Exchange 27(2) (2001/2002), 441-456, ISSN 0147-1937.
14. J. B., On the topological entropy of green interval maps, Journal of Applied
Analysis 7(2001), 107-112, ISSN 1425-6908.
13. J. B., Forcing relation on minimal interval patterns, Fundamenta Mathematicae
169(2001), 161-173, ISSN 0016-2736.
12. J. B., A remark on topological entropy of unimodal Markov maps, Grazer Math.
Ber. No.339(1999), 85-88, ISSN 1016-7692.
11. J. B., On entropy of patterns given by interval maps, Fundamenta Mathematicae
162(1999), 1-36, ISSN 0016-2736.
10. J. B. (with O. Zindulka), On topological entropy on zero-dimensional compact
spaces, Fund. Math. 162(1999), 233-249, ISSN 0016-2736.
09. J. B. (with M. Kuchta), X-minimal Patterns and Generalization of Sharkovskii's
Theorem, Fund. Math. 156(1998), 33-66, ISSN 0016-2736.
08. J. B. (with M. Kuchta),
The X-minimal patterns and the forcing relation, Grazer
Mathematischen Berichte. 334, 69-76.
07. J. B. (with M. Kuchta),
Register shifts versus transitive f-cycles for
piecewise
monotone maps, Real Analysis Exchange 21(1)(1996), 134-146.
06. J. B. (with M. Kuchta),
Invar. measures for maps of the inter. that do not
have
points of some period, Erg. Th. and Dyn. Sys. 14(1)(1994), 9-21.
05. J. B., On isometric embeddings of Hilbert's cube into c, Commentationes
Mathematicae Universitatis Carolinae. 35(2)(1994), 361-364.
04. J. B., The functions with almost all points
eventually periodic, Acta Mathematica
Universitatis Comenianae 62(1)(1993), 123-134.
03. J. B. (with M. Kuchta),
Topological entropy and variation for transitive maps,
Mathematica Slovaca 43(3)(1993), 345-355.
02. J. B. (with L. Snoha), Periodic points and Little Fermat Theorem, Nieuw Archief
voor Wiskunde 10(4)(1992), 33-35.
01. J.
B., On non-differentiable measure-preserving functions, Real
Analysis
Exchange 16(1)(91), 119-129.