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Maciej Ślęczka

References [1] Barnsley M.F., Demko S.G., Elton J.H., Geronimo J.S., Invariant measures for Markov processes arising from iterated function systems with place dependent probabilities , Ann. Inst. H. Poincaré Probab. Statist. 24 (1988), 367–394. [2] Hairer M., Exponential mixing properties of stochastic PDEs through asymptotic coupling , Probab. Theory Related Fields 124 (2002), 345–380. [3] Hairer M., Mattingly J., Scheutzow M., Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations

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Dan Lascu and George Cîrlig

References [1] Adams, W.W. and Davison, J.L., A remarkable class of continued fractions, Proc. Amer. Math. Soc. 65 (1977) 194-198. [2] Boyarsky, A. and Góra, P., Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension, Birkhäuser, Boston, 1997. [3] Brezinski, C., History of Continued Fractions and Padé Approximants. Springer Series in Computational Mathematics 12, Springer-Verlag, Berlin, 1991. [4] Corless, R.M., Continued fractions and chaos, Amer. Math. Monthly 99(3) (1992

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H. Chen, Jingfei Jiang, Dengqing Cao and Xiaoming Fan

said to be global random point attractor . Actually, Definition 2.3 is the notion of random attractor for RDS, if omit 0 in S (0, s , ω ) in definition of random attractors for SDS proposed in Ref [ 4 ], random attractor for RDS and for SDS are the same. The follow assertion provides the relationship between random attractors and invariant measures which is important to exploit the numerical results to expound the global dynamics for RDS. Proposition 2.4 When the RDS or SDS φ possesses global random attractor comply with Definition 2.3 , by the

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Joanna Kubieniec

References [1] Davis M.H.A., Markov Models and Optimization , Chapman and Hall, London, 1993. [2] Diekmann O., Heijmans H.J., Thieme H.R., On the stability of the cells size distribution , J. Math. Biol. 19 (1984), 227–248. [3] Horbacz K., Asymptotic stability of a system of randomly connected transformations on Polish spaces , Ann. Polon. Math. 76 (2001), 197–211. [4] Horbacz K., Invariant measures for random dynamical systems , Dissertationes Math. 451 (2008), 68 pp. [5] Kazak J., Piecewise-deterministic Markov processes

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Paweł Mitkowski and Wojciech Mitkowski

Koopman, B. O. (1932). Recent contributions to the ergodic theory, Mathematics: Proceedings of the National Academy of Sciences   18 : 279-282. Bronsztejn, I. N., Siemiendiajew, K. A., Musiol, G. and Muhlig, H. (2004). Modern Compendium of Mathematics , PWN, Warsaw, (in Polish, translation from German). Dawidowicz, A. L. (1992). On invariant measures supported on the compact sets II, Universitatis Iagellonicae Acta Mathematica   29 : 25-28. Dawidowicz, A. L. (1992). A method of construction

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Diogo Monteiro, Carla Chicau Borrego, Carlos Silva, João Moutão, Daniel Almeida Marinho and Luís Cid

acquired, it is believed that the youth are not fully capable of adopting a differentiated concept of ability in achievement contexts. Influenced by the Nicholls’s (1984) perspective and under the Youth Enrichment Through Sport (YES) project, Smith et al. (2008) chose to develop an age-appropriate measure of motivational climate (MCSYS: Motivational Climate Scale for Youth Sports) derived from the PMCSQ-2, and it has a Flesh–Kincaid reading level of Grade 3.3. The Flesch-Kincaid Grade Level index is one way to measure and report the readability of English text

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Fateme Kouchakinejad and Alexandra Šipošová

References [1] MESIAR, R.-BORKOTOKEY, S.-LESHANG, J.-KALINA, M.: Aggregation functions and capacities, Fuzzy Sets Syst. 2017 (submitted). [2] BORKOTOKEY, S.-KOMORN´IKOV´A, M.-LI, J.-MESIAR, R.: Aggregation functions, similarity and fuzzy measures, in: Proc. of the Internat. Summer School on Aggregation Operators-AGOP’17 (V. Torra et all., eds.), Skovde, Sveden, Advances in Intelligent Systems and Computing, Vol. 581, Springer, Cham, 2017, pp. 223-228.

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Robert Schaefer, Aleksander Byrski and Maciej Smołka

, T., Fogel, D. and Michalewicz, Z. (2000). Evolutionary Computation: Basic Algorithms and Operators , Vols. 1 and 2, Institute of Physics Publishing, Bristol/Philadelphia, PA . Back, T., Hammel, U. and Schwefel, H.-P. (1997). Evolutionary computation: Comments on the history and current state, IEEE Transactions on Evolutionary Computation 1 (1): 3-17. Billingsley, P. (1995). Probability and Measure , Wiley-Interscience, Hoboken, NJ. Brabazon, A. and O’Neill, M. (2006). Biologically Inspired Algorithms for

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Paweł Płonka

stability of Markov operators on Polish spaces , Studia Math. 143 (2000), 145–152. [6] Szarek T., Invariant measures for non-expansive Markov operators on Polish spaces , Dissertationes Math. 415 (2003), 62 pp. [7] Valadier M., Young measures , in: Methods of Nonconvex Analysis (Varrenna 1989) , Lecture Notes in Math. 1446, Springer, Berlin, 1990, pp. 152–188.