K. Leśniak - My notes

1. Measures of noncompactness
   • „Note on the Kuratowski Theorem for abstract measures of noncompactness” (.pdf)
   • „Hausdorff metric and measure of noncompactness in formulae” (.pdf |  source .tex)
   • related articles (free access via non-Zentralblatt links):
     1. Zbl 1341.47065 K. Leśniak, Note on multifunctions condensing in the hyperspace, Fixed Point Theory 16 (2015) no. 2, 343-352
     2. Zbl 1280.54027 K. Leśniak, Invariant sets and Knaster-Tarski principle, Cent. Eur. J. Math. 10 (2012) no. 6, 2077-2087; DOI: 10.2478/s11533-012-0109-4
     3. Zbl 1195.54080 K. Leśniak, Fixed points of the Barnsley-Hutchinson operators induced by hyper-condensing maps, Matematiche 60 (2005) no. 1, 67-80
     4. Zbl 1077.28002 J. Andres, J. Fišer, G. Gabor, K. Leśniak, Multivalued fractals, Chaos Solitons Fractals 24 (2005) no. 3, 665-700; DOI: 10.1016/j.chaos.2004.09.029
     5. Zbl 1108.47048 K. Leśniak, Infinite iterated function systems: a multivalued approach, Bull. Pol. Acad. Sci., Math. 52 (2004) no. 1, 1-8; DOI: 10.4064/ba52-1-1
     6. Zbl 1072.54030 K. Leśniak, Stability and invariance of multivalued iterated function systems, Math. Slovaca 53 (2003) no. 4, 393-405; EuDML: doc/31930
     7. Zbl 1161.54301 K. Leśniak, Extremal sets as fractals, Nonlinear Anal. Forum 7 (2002) no. 2, 199-208
2. Axiomatization of topological space in terms of the operation of boundary (arXiv:math/0605259v1)
3. Ocena georóżnorodności za pomocą miar krajobrazowych - podstawowe trudności metodyczne = Geodiversity valuation with the aid of landscape indices - basic methodological obstructions ( Przegląd Geograficzny, vol.78 no.1, 2006), joint work with Rafał Kot
4. Rozwiązania gier o charakterze kooperacyjnym. Kooperacja i koordynacja ( UMK: repozyt 495)
5. Rozwiązania symetryczne gier kooperacyjnych ( UMK: repozyt 494)
6. Random iteration and disjunctive processes (Fractal Geometry and Stochastics V, Tabarz, Germany, 24-29 March 2014):
   Kaczmarz algorithm & chaos game simulation.ggb
7. Dynamics of some models from the economics curriculum: interactive activity with GeoGebra (EViMS 2, Canberra, Australia, 21-23 November 2014):
   • abstract
   • Hotelling's law
   • Cournot duopoly: Nash equilibrium, Stackelberg solution, imitation
   • Cournot oligopoly (bifurcation w.r.t. no. of firms)    cobweb plot  |  Feigenbaum diagram
8. Disjunctive sequences, discontinuous systems and fast basins (New Directions in Fractal Geometry, Kioloa, Australia, 24-28 November 2014):
   slides  |  abstract
9. Sierpinski Fractal Manifold (a manifold underlying the fast basin of the Sierpiński gasket):
   .ggb on GeoGebra.org  |  on SuperFractals by M. Barnsley
10. Chaos game simulation over a prescribed driver in Maxima CAS, joint work with Nina Snigireva:
    Chaos Game Algorithm - KL
11. Some topology for iterated function systems (21st Professor Wazir Hasan Abdi Memorial Lecture 2020, Cochin University of Science and Technology, Kerala, India, February 2021):
    slides.pdf
12. Zbl 1487.28011 A fractal triangle arising in the AIMD dynamics, joint work with N. Snigireva and F. Strobin (Contemporary Mathematics in Kielce 2020, Kielce, Poland, 24-27 February 2021); DOI: 10.2478/9788366675360-013