Dispersion Under Iteration of Strongly Mixing Transformations on Metric Spaces
Abstract
References (16)
- 1
P. Billingsley, Ergodic theory and information, John Wiley & Sons, Inc., New York -London-Sydney, 1965.
- 2
P. Cornfeld, S. V. Fomin,YA. G. Sinai, Ergodic Theory, Springer Verlag, NewYork-Heidelberg-Berlin, 1982.
- 3
T. Erber, B. Schweizer, A. Sklar, Mixing transformations on metric spaces, Comm. Math. Phys. 29 (1973), 311 – 317.
- 4
N. Faried, M. Fathey, “S-nuclearity and n-diameters of infinite Cartesian products of bounded subsets in Banach spaces”, Acta Comment. Univ. Tartu. Math. 7 (2003), 45–55.
- 5
H. Fatkić, On probabilistic metric spaces and ergodic transformations, Ph. D. dissertation, Univ. Sarajevo, 2000, 170 pp; Rad. Mat. 10 (2) (2001), 261 – 263.
- 6
H. Fatkić, “Characterizations of measurability-preserving ergodic transformations”, Sarajevo J. Math. 1 (13) (2005), 49 – 58.
- 7
H. Fatkić, “Measurability-preserving weakly mixing transformations”, Sarajevo J. Math. 2 (15) (2006), 159 – 172.
- 8
H. Fatkić, S. Sekulović, and Hana Fatkić, “Further results on the ergodic transformations that are both strongly mixing and measurability preserving“, The sixth Bosnian-Herzegovinian Mathematical Conference, International University of Sarajevo, June 17, 2011, Sarajevo, B&H; in: Resume of the Bosnian-Herzegovinian mathematical conference, Sarajevo J. Math. (20) (2011), 310 – 311.
- 9
H. Fatkić, S. Sekulović, and Hana Fatkić, “Probabilistic metric spaces determined by weakly mixing transformations”, in: Proceedings of the 2nd Mathematical Conference of Republic of Srpska – Section of Applied Mathematics, June 8&9, 2012, Trebinje, B&H, pp. 195-208.
- 10
E. Hille, Topics in classical analysis, in: Lectures on Mathematics (T. L. Saaty, ed.), Vol. 3, Wiley, New York, 1965, pp. 1–57.
- 11
N. S. Landkof, Foundations of modern potential theory. Translated from the Russian by A. P. Doohovskoy. Die Grundlehren der mathematischen Wissenschaften, Band 180. Springer-Verlag, New York-Heidelberg, 1972.
- 12
R. E. Rice, “On mixing transformations”, Aequationes Math. 17 (1978), 104 – 108.
- 13
E. B. Saff, “Logarithmic potential theory with applications to approximation theory”, Surv. Approx. Theory 5 (2010), 165 – 200.
- 14
Schweizer, A. Sklar, Probabilistic metric spaces, North-Holland Ser. Probab. Appl. Math., North-Holland, New York, 1983; second edition, Dover, Mineola, NY, 2005.
- 15
S. V. Tikhonov, “Homogeneous spectrum and mixing transformations”, (Russian) Dokl. Akad. Nauk 436 (4) (2011), 448 – 451; translation in Dokl. Math. 83 (2011), 80 – 83.
- 16
V. Zakharyuta, “Transfinite diameter, Chebyshev constants, and capacities in Cn “. Ann Polon. Math. 106 (2012), 293-313.