Research interests

Organized conferences and seminars

Publications:

In preparation:

 

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Submitted:

J. B. (with S. Roth), The infimum of Lipschitz constants in the conjugacy class of an interval map, submitted to Proceedings of American Math. Society, 16 pp.

J. B. (with S. Troubetzkoy), Topologically weakly mixing polygonal billiards, submitted to Proceedings of American Math. Society, 12 pp.

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Published:

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 (polygonal) table?, 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.