Publication Records

FORYŚ-KRAWIEC, Magdalena, Jana HANTÁKOVÁ, Jiří KUPKA, Piotr OPROCHA and Samuel Joshua ROTH. Dendrites and measures with discrete spectrum. Ergodic Theory and Dynamical Systems. New York: Cambridge University Press, vol. 43, No 2, p. 545-555. ISSN 0143-3857. doi:10.1017/etds.2021.157. 2023.

JACKSON, Stephen, Bill MANCE and Samuel Joshua ROTH. A non-Borel special alpha-limit set in the square. Ergodic Theory and Dynamical Systems. New York: Cambridge University Press, vol. 42, No 8, p. 2550-2560. ISSN 0143-3857. doi:10.1017/etds.2021.68. 2022.

HANTÁKOVÁ, Jana, Samuel Joshua ROTH and Lubomír SNOHA. Spaces where all closed sets are α-limit sets. Topology and its Applications. Amsterdam: Elsevier B.V., vol. 310, april, p. "108035-1"-"108035-16", 16 pp. ISSN 0166-8641. doi:10.1016/j.topol.2022.108035. 2022.

HANTÁKOVÁ, Jana, Samuel Joshua ROTH and Lubomír SNOHA. Spaces where all closed sets are α-limit sets. Topology and its Applications. Amsterdam: Elsevier B.V., vol. 2022, No 310, p. 108035. ISSN 0166-8641. doi:10.1016/j.topol.2022.108035. 2022.

FORYŚ-KRAWIEC, Magdalena, Jana HANTÁKOVÁ, Jiří KUPKA, Piotr OPROCHA and Samuel Joshua ROTH. Dendrites and measures with discrete spectrum. Ergodic Theory and Dynamical Systems. New York: Cambridge University Press, vol. 2021, 11 pp. ISSN 0143-3857. doi:10.1017/etds.2021.157. 2021.

RODRIGUES, Ana, Samuel Joshua ROTH and Zuzana ROTH. Fair measures for countable-to-one maps. Stochastics and Dynamics. Singapore: World Scientific Publishing Co. Pte Ltd, vol. 21, No 2, p. "2150008-1"-"2150008-29", 29 pp. ISSN 0219-4937. doi:10.1142/S0219493721500088. 2021.

HANTÁKOVÁ, Jana and Samuel Joshua ROTH. On backward attractors of interval maps. Nonlinearity. Bristol (GB): IOP Publishing Ltd, vol. 34, No 11, p. 7415-7445. ISSN 0951-7715. doi:10.1088/1361-6544/ac23b6. 2021.

BRADÍK, Jaroslav and Samuel Joshua ROTH. Typical Behaviour of Random Interval Homeomorphisms. Qualitative Theory of Dynamical Systems. Basel, Switzerland: Springer International Publishing, vol. 20, No 3, p. "73-1"-"73-20", 20 pp. ISSN 1575-5460. doi:10.1007/s12346-021-00509-2. 2021.

BARTOŠ, Adam, Jozef BOBOK, Pavel PYRIH, Samuel Joshua ROTH and Benjamin VEJNAR. Constant slope, entropy, and horseshoes for a map on a tame graph. Ergodic Theory and Dynamical Systems. New York: Cambridge University Press, vol. 40, No 11, p. 2970-2994. ISSN 0143-3857. doi:10.1017/etds.2019.29. 2020.

ROTH, Samuel Joshua. Dynamics on dendrites with closed endpoint sets. Nonlinear Analysis: Theory, Methods & Applications. Oxford (GB): PERGAMON-ELSEVIER SCIENCE LTD, vol. 195, No 111745, p. "111745-1"-"111745-13", 13 pp. ISSN 0362-546X. doi:10.1016/j.na.2020.111745. 2020.

ROTH, Samuel Joshua and Zuzana ROTH. Inequalities for entropy, Hausdorff dimension, and Lipschitz constants. Studia Mathematica. WARSZAWA: POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN, vol. 250, No 3, p. 253-264. ISSN 0039-3223. doi:10.4064/sm180705-2-11. 2020.

MÁLEK, Michal and Samuel Joshua ROTH. Constant slope models and perturbation. Israel Journal of Mathematics. Jerusalem, Israel: The Hebrew University Magnes Press, vol. 230, No 1, p. 213-237. ISSN 0021-2172. doi:10.1007/s11856-018-1814-x. 2019.

ROTH, Samuel Joshua and Josef BOBOK. The infimum of Lipschitz constants in the conjugacy class of an interval map. Proceedings of the American Mathematical Society. Providence: American Mathematical Society, vol. 147, No 1, p. 255-269. ISSN 0002-9939. doi:10.1090/proc/14255. 2019.

ROTH, Samuel joshua and Michal MISIUREWICZ. Constant slope maps on the extended real line. Ergodic Theory and Dynamical Systems. New York: Cambridge University Press, vol. 38, No 8, p. 3145-3169. ISSN 0143-3857. doi:10.1017/etds.2017.3. 2018.

ROTH, Samuel joshua. Constant slope models for finitely generated maps. Discrete and Continuous Dynamical Systems - Series A. Springfield: American Institute of Mathematical Sciences, vol. 38, No 5, p. 2541-2554. ISSN 1078-0947. doi:10.3934/dcds.2018106. 2018.