All Stories

  1. Topological prevalence of variable speed of convergence in the deterministic chaos game

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, August 2024, Springer Science + Business Media

    Krzysztof Leśniak

  2. Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor

    Article • Journal of Dynamics and Differential Equations, June 2024, Springer Science + Business Media

    Krzysztof Leśniak

  3. Split square and split carpet as examples of non-metrizable IFS attractors

    Article • Banach Center Publications, January 2023, Institute of Mathematics, Polish Academy of Sciences

    Krzysztof Leśniak

  4. Strongly-Fibred Iterated Function Systems and the Barnsley–Vince triangle

    Article • Banach Center Publications, January 2023, Institute of Mathematics, Polish Academy of Sciences

    Krzysztof Leśniak

  5. Transition phenomena for the attractor of an iterated function system*

    Article • Nonlinearity, September 2022, Institute of Physics Publishing

    Krzysztof Leśniak

  6. Rate of convergence in the disjunctive chaos game algorithm

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, January 2022, American Institute of Physics

    Krzysztof Leśniak

  7. A FRACTAL TRIANGLE ARISING IN THE AIMD DYNAMICS

    Article • December 2021, De Gruyter

    Krzysztof Leśniak

  8. Iterated Function Systems Enriched with Symmetry

    Article • Constructive Approximation, October 2021, Springer Science + Business Media

    Krzysztof Leśniak

  9. Weakly contractive iterated function systems and beyond: a manual

    Article • The Journal of Difference Equations and Applications, May 2020, Taylor & Francis

    Krzysztof Leśniak

  10. BASIC TOPOLOGICAL STRUCTURE OF FAST BASINS

    Article • Fractals, February 2018, World Scientific Pub Co Pte Lt

    Krzysztof Leśniak

  11. Impact of different roughness coefficients applied to relief diversity evaluation: Chełmno Lakeland (Polish Lowland)

    Article • Geografiska Annaler Series A Physical Geography, March 2017, Taylor & Francis

    Krzysztof Leśniak

  12. On the Continuity of the Hutchinson Operator

    Article • Symmetry, October 2015, MDPI AG

    Krzysztof Leśniak, Emilio Jimenez

  13. Random iteration for infinite nonexpansive iterated function systems

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, August 2015, American Institute of Physics

    Krzysztof Leśniak

  14. The Chaos Game on a General Iterated Function System from a Topological Point of View

    Article • International Journal of Bifurcation and Chaos, November 2014, World Scientific Pub Co Pte Lt

    Krzysztof Leśniak

  15. ON DISCRETE STOCHASTIC PROCESSES WITH DISJUNCTIVE OUTCOMES

    Article • Bulletin of the Australian Mathematical Society, May 2014, Cambridge University Press

    Krzysztof Leśniak

  16. Invariant sets and Knaster-Tarski principle

    Article • Open Mathematics, January 2012, De Gruyter

    Krzysztof Leśniak

  17. Multivalued fractals

    Article • Chaos Solitons & Fractals, May 2005, Elsevier

    Krzysztof Leśniak

  18. Infinite Iterated Function Systems: A Multivalued Approach

    Article • Bulletin of the Polish Academy of Sciences Mathematics, January 2004, Institute of Mathematics, Polish Academy of Sciences

    Krzysztof Leśniak

  19. On some almost-periodicity problems in various metrics

    Article • Acta Applicandae Mathematicae, January 2001, Springer Science + Business Media

    Krzysztof Leśniak