Piotr Oprocha
Professor of Mathematics
University of Ostrava
Profile
Prof. dr hab.
Piotr Oprocha
Professor of Mathematics
Welcome to my portfolio! I am Professor of Mathematics with more than 20 years of experience in research, teaching and management in academia. I was principal investigator in several projects, was mentoring and coaching young researchers and has experience in leading cross-functional teams. In particular, I have previous experience in applications of advances in science to business and industry.
Resume
Resume
Education
Title of professor (mathematics)
President of Poland
2018
I was awarded title of professor by President of Poland. It is the highest degree in Polish academic system
Habilitation (mathematics)
Jagiellonian University
2011
I obtained habilitation in mathematics. This formally entitled me to became supervisor of PhD students in Poland.
PhD (mathematics)
Jagiellonian University
2005
My supervisor was prof. Jerzy Ombach
Employment
IFM, IT for Innovations. University of Ostrava
Full Professor (Research)
10.2015 - present
I had various positions over the years. Presently I hold the highest position of full professor. I also lead Dynamical Systems group at the Institutute.
IMPAN, Polish Academy of Sciences
Visiting researcher
03.2011 - 09.2014
I had temporary research position at IMPAN, where I was member of Dynamical Systems group.
Universidad de Murcia
Marie Curie Intraeuropean Fellowship
03.2009 - 02.2011
I obtained Fellowship within 7th Framework Programme o European Union to spend 2 years on research position in Spain
AGH University of Krakow
Full Professor
10.2002 - 09.2025
I have been working at this university for over 20 years, starting from the lowest position of assistant and finishing as full professor. Meantime, I was Dean, Vice-Dean for Science and Head of Department of Differential Equations.
Recognition
Stipend for Eminent Young Researchers
Minister of Science and Higher Education
10.2011-09.2014
A prestigious stipend for young scientists in Poland
Award of the Polish Minister of Science and Higher Education
Minister of Science and Higher Education
2010
Team award for achievements in didactics: publishing textbook “Optimization. Selected methods with examples of applications (in Polis)”
Z. Engel award for Young scientist for research achievements (2nd degree)
Engels family foundation
2008
Award for research achievements in science for young sacientists from Kraków
Stipend for Young Researchers
Foundation for Polish Science (FNP)
2007, 2008
An important stipend for young researchers. Stipend with awarded extension for the second year
Award for Young Mathematicians
Polish Mathematical Society
2006
Award of Polish Mathematical Society of young PhDs. I obtained this award ex aequo with Witold Bednorz.
Stipend of Polityka magazine
Polityka magazine
2006
Stipend awarded by foundation of “Polityka” magazine under name “Stay with us”. Stipend supports promising young scientists to stay in science.
Subjects of papers
Language skills
Publications
Publications
2026
Various questions around finitely positively expansive dynamical systems Journal Article
In: Topology and its Applications, vol. 377, pp. 109597, 2026, ISSN: 0166-8641.
Rigidity and Toeplitz systems Journal Article Forthcoming
In: Forum Mathematicum, Forthcoming.
2025
Cantor subsystems on the Gehman dendrite Journal Article
In: Chaos, vol. 35, no. 3, 2025.
Continuous Lebesgue measure-preserving maps on one-dimensional manifolds: A survey Journal Article
In: Topology and its Applications, vol. 364, 2025.
Stochastic model of accelerated cooling of eutectoid steel rails Journal Article
In: Modelling and Simulation in Materials Science and Engineering, vol. 33, no. 2, 2025.
The Lelek fan admits a completely scrambled weakly mixing homeomorphism Journal Article
In: Bulletin of the London Mathematical Society, vol. 57, no. 2, pp. 432 – 443, 2025.
2024
Multiorders in amenable group actions Journal Article
In: Groups, Geometry, and Dynamics, vol. 18, no. 1, pp. 25 – 65, 2024.
Inverse Problem in the Stochastic Approach to Modeling of Phase Transformations in Steels during Cooling after Hot Forming Journal Article
In: Journal of Materials Engineering and Performance, vol. 33, no. 24, pp. 13787 – 13802, 2024.
A Note on Homeo-Product-Minimality Journal Article
In: Qualitative Theory of Dynamical Systems, vol. 23, no. 3, 2024.
ARE GENERIC DYNAMICAL PROPERTIES STABLE UNDER COMPOSITION WITH ROTATIONS? Journal Article
In: Proceedings of the American Mathematical Society, vol. 152, no. 7, pp. 3011 – 3026, 2024.
Metric mean dimension of irregular sets for maps with shadowing Journal Article
In: Journal of Difference Equations and Applications, vol. 30, no. 5, pp. 603 – 618, 2024.
Sensitivity Analysis and Formulation of the Inverse Problem in the Stochastic Approach to Modelling of Phase Transformations in Steels Journal Article
In: Lecture Notes in Mechanical Engineering, pp. 161 – 184, 2024.
Accounting for random character of recrystallisation and uncertainty of process parameters in the modelling of phase transformations in steels Journal Article
In: Canadian Metallurgical Quarterly, vol. 63, no. 2, pp. 460 – 467, 2024.
Parameterized family of annular homeomorphisms with pseudo-circle attractors Journal Article
In: Journal of Differential Equations, vol. 407, pp. 102 – 132, 2024.
Renormalization in Lorenz maps - completely invariant sets and periodic orbits Journal Article
In: Advances in Mathematics, vol. 456, 2024.
2023
On recurrence and entropy in the hyperspace of continua in dimension one Journal Article
In: Fundamenta Mathematicae, vol. 263, pp. 23 – 50, 2023.
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems Journal Article
In: Journal of Dynamics and Differential Equations, vol. 35, no. 2, pp. 1175 – 1201, 2023.
S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 43, no. 1, pp. 78 – 98, 2023.
Dendrites and measures with discrete spectrum Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 43, no. 2, pp. 545 – 555, 2023.
A Comparative Study of Deterministic and Stochastic Models of Microstructure Evolution during Multi-Step Hot Deformation of Steels Journal Article
In: Materials, vol. 16, no. 9, 2023.
Through process stochastic model of hot strip rolling Conference
vol. 28, 2023.
2022
A CANTOR DYNAMICAL SYSTEM IS SLOW IF AND ONLY IF ALL ITS FINITE ORBITS ARE ATTRACTING Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 42, no. 6, pp. 3039 – 3064, 2022.
Parametrized family of pseudo-arc attractors: Physical measures and prime end rotations Journal Article
In: Proceedings of the London Mathematical Society, vol. 125, no. 2, pp. 318 – 357, 2022.
On Mathematical Aspects of Evolution of Dislocation Density in Metallic Materials Journal Article
In: IEEE Access, vol. 10, pp. 86793 – 86812, 2022.
Periodic points and shadowing for generic Lebesgue measure-preserving interval maps Journal Article
In: Nonlinearity, vol. 35, no. 5, pp. 2534 – 2557, 2022.
ON THE STRUCTURE OF α-LIMIT SETS OF BACKWARD TRAJECTORIES FOR GRAPH MAPS Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 42, no. 3, pp. 1435 – 1463, 2022.
In: International Journal of Material Forming, vol. 15, no. 4, 2022.
Inverse Problem in Stochastic Approach to Modelling of Microstructural Parameters in Metallic Materials during Processing Journal Article
In: Mathematical Problems in Engineering, vol. 2022, 2022.
Quasi-graphs, zero entropy and measures with discrete spectrum Journal Article
In: Nonlinearity, vol. 35, no. 3, pp. 1360 – 1379, 2022.
2021
Minimal Non-invertible Maps on the Pseudo-Circle Journal Article
In: Journal of Dynamics and Differential Equations, vol. 33, no. 4, pp. 1897 – 1916, 2021.
On entropy of φ-irregular and φ-level sets in maps with the shadowing property Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 41, no. 3, pp. 1271 – 1296, 2021.
On α-limit sets in lorenz maps Journal Article
In: Entropy, vol. 23, no. 9, 2021.
Sensitivity analysis, identification and validation of the dislocation density-based model for metallic materials Journal Article
In: Metallurgical Research and Technology, vol. 118, no. 3, 2021.
Graph maps with zero topological entropy and sequence entropy pairs Journal Article
In: Proceedings of the American Mathematical Society, vol. 149, no. 11, pp. 4757 – 4770, 2021.
2020
Multi-sensitivity, multi-transitivity and Δ-transitivity Conference
vol. 744, 2020.
Shadowing is Generic on Various One-Dimensional Continua with a Special Geometric Structure Journal Article
In: Journal of Geometric Analysis, vol. 30, no. 2, pp. 1836 – 1864, 2020.
2019
Double minimality, entropy and disjointness with all minimal systems Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 39, no. 1, pp. 263 – 275, 2019.
Prediction of distribution of microstructural parameters inmetallic materials described by differential equations with recrystallization term Journal Article
In: International Journal for Multiscale Computational Engineering, vol. 17, no. 3, pp. 361 – 371, 2019.
A mixing completely scrambled system exists Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 39, no. 1, pp. 62 – 73, 2019.
ω-Chaos Without Infinite LY-Scrambled Set on Gehman Dendrite Journal Article
In: International Journal of Bifurcation and Chaos, vol. 29, no. 5, 2019.
Shadowing, asymptotic shadowing and s-limit shadowing Journal Article
In: Fundamenta Mathematicae, vol. 244, no. 3, pp. 287 – 312, 2019.
All minimal Cantor systems are slow Journal Article
In: Bulletin of the London Mathematical Society, vol. 51, no. 6, pp. 937 – 944, 2019.
Mixing Properties in Coded Systems Conference
vol. 285, 2019.
Mixing properties in expanding Lorenz maps Journal Article
In: Advances in Mathematics, vol. 343, pp. 712 – 755, 2019.
Multi-criteria optimization strategies for tree-structured production chains Journal Article
In: International Journal of Material Forming, vol. 12, no. 2, pp. 185 – 196, 2019.
On the dynamics of generic maps on the Cantor set Journal Article
In: Topology and its Applications, vol. 263, pp. 330 – 342, 2019.
2018
Properties of invariant measures in dynamical systems with the shadowing property Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 38, no. 6, pp. 2257 – 2294, 2018.
Corrigendum to “Syndetically proximal pairs” [J. Math. Anal. Appl. 379 (2011) 656–663](S0022247X11000874)(10.1016/j.jmaa.2011.01.060) Journal Article
In: Journal of Mathematical Analysis and Applications, vol. 459, no. 1, pp. 614 – 617, 2018.
On the irregular points for systems with the shadowing property Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 38, no. 6, pp. 2108 – 2131, 2018.
Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics Journal Article
In: Israel Journal of Mathematics, vol. 227, no. 1, pp. 423 – 453, 2018.
An attempt of optimization of zinc production line Journal Article
In: Archives of Civil and Mechanical Engineering, vol. 18, no. 4, pp. 1116 – 1122, 2018.
Edrei’s Conjecture Revisited Journal Article
In: Annales Henri Poincare, vol. 19, no. 1, pp. 267 – 281, 2018.
A compact minimal space Y such that its square Y × Y is not minimal Journal Article
In: Advances in Mathematics, vol. 335, pp. 261 – 275, 2018.
Shadowing, entropy and minimal sets Conference
vol. 248, 2018.
On dynamics of the Sierpiński carpet; [Sur la dynamique du tapis de Sierpiński] Journal Article
In: Comptes Rendus Mathematique, vol. 356, no. 3, pp. 340 – 344, 2018.
2017
Periodic points and transitivity on dendrites Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 37, no. 7, pp. 2017 – 2033, 2017.
Failures prediction based on performance monitoring of a gas turbine: A binary classification approach Journal Article
In: Schedae Informaticae, vol. 26, pp. 9 – 21, 2017.
Furstenberg families, sensitivity and the space of probability measures Journal Article
In: Nonlinearity, vol. 30, no. 3, pp. 987 – 1005, 2017.
Validation of optimization strategies using the linear structured production chains Conference
vol. 1836, 2017.
When are all closed subsets recurrent? Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 37, no. 7, pp. 2223 – 2254, 2017.
On dynamics of graph maps with zero topological entropy Journal Article
In: Nonlinearity, vol. 30, no. 12, pp. 4260 – 4276, 2017.
Distributionally chaotic systems of type 2 and rigidity Journal Article
In: Journal of Mathematical Analysis and Applications, vol. 452, no. 1, pp. 659 – 672, 2017.
Multi-recurrence and van der Waerden systems Journal Article
In: Science China Mathematics, vol. 60, no. 1, pp. 59 – 82, 2017.
On averaged tracing of periodic average pseudo orbits Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 37, no. 9, pp. 4943 – 4957, 2017.
Generic points for dynamical systems with average shadowing Journal Article
In: Monatshefte fur Mathematik, vol. 183, no. 4, pp. 625 – 648, 2017.
Limit Sets, Attractors and Chaos Journal Article
In: Qualitative Theory of Dynamical Systems, vol. 16, no. 1, pp. 53 – 69, 2017.
2016
Shadowing, thick sets and the Ramsey property Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 36, no. 5, pp. 1582 – 1595, 2016.
On various definitions of shadowing with average error in tracing Journal Article
In: Nonlinearity, vol. 29, no. 7, pp. 1942 – 1972, 2016.
On entropy of dynamical systems with almost specification Journal Article
In: Israel Journal of Mathematics, vol. 213, no. 1, pp. 475 – 503, 2016.
A panorama of specification-like properties and their consequences Conference
vol. 669, 2016.
Metamodeling and Optimization of a Blister Copper Two-Stage Production Process Journal Article
In: JOM, vol. 68, no. 6, pp. 1535 – 1540, 2016.
Multi-criteria optimization strategies for production chains Conference
vol. 80, 2016.
Chaotic sub-dynamics in coupled logistic maps Journal Article
In: Physica D: Nonlinear Phenomena, vol. 335, pp. 45 – 53, 2016.
Invariant scrambled sets, uniform rigidity and weak mixing Journal Article
In: Israel Journal of Mathematics, vol. 211, no. 1, pp. 447 – 472, 2016.
On aggregation of stages in multi-criteria optimization of chain structured processes Journal Article
In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9692, pp. 411 – 419, 2016.
2015
Rotational chaos and strange attractors on the 2-torus Journal Article
In: Mathematische Zeitschrift, vol. 279, no. 3-4, pp. 689 – 702, 2015.
Preface special issue: Advances and applications in qualitative studies of dynamics Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 35, no. 2, pp. i – ii, 2015.
On 'observable' Li-Yorke tuples for interval maps Journal Article
In: Nonlinearity, vol. 28, no. 6, pp. 1675 – 1694, 2015.
Product recurrence for weighted backward shifts Journal Article
In: Applied Mathematics and Information Sciences, vol. 9, no. 5, pp. 2361 – 2365, 2015.
Subshifts, rotations and the specification property Journal Article
In: Topological Methods in Nonlinear Analysis, vol. 46, no. 2, pp. 799 – 812, 2015.
On recurrence over subsets and weak mixing Journal Article
In: Pacific Journal of Mathematics, vol. 277, no. 2, pp. 399 – 424, 2015.
A Methodology for Optimization in Multistage Industrial Processes: A Pilot Study Journal Article
In: Mathematical Problems in Engineering, vol. 2015, 2015.
On indecomposability in chaotic attractors Journal Article
In: Proceedings of the American Mathematical Society, vol. 143, no. 8, pp. 3659 – 3670, 2015.
Transitive sofic spacing shifts Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 35, no. 10, pp. 4743 – 4764, 2015.
Topological mixing, knot points and bounds of topological entropy Journal Article
In: Discrete and Continuous Dynamical Systems - Series B, vol. 20, no. 10, pp. 3547 – 3564, 2015.
2014
Factor maps and invariant distributional chaos Journal Article
In: Journal of Differential Equations, vol. 256, no. 2, pp. 475 – 502, 2014.
On almost specification and average shadowing properties Journal Article
In: Fundamenta Mathematicae, vol. 224, no. 3, pp. 241 – 278, 2014.
On partial shadowing of complete pseudo-orbits Journal Article
In: Journal of Mathematical Analysis and Applications, vol. 411, no. 1, pp. 454 – 463, 2014.
Topological structure and entropy of mixing graph maps Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 34, no. 5, pp. 1587 – 1614, 2014.
Hereditarily indecomposable inverse limits of graphs: Shadowing, mixing and exactness Journal Article
In: Proceedings of the American Mathematical Society, vol. 142, no. 2, pp. 681 – 694, 2014.
On local aspects of topological weak mixing, sequence entropy and chaos Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 34, no. 5, pp. 1615 – 1639, 2014.
Transitivity, two-sided limit shadowing property and dense ω-chaos Journal Article
In: Journal of the Korean Mathematical Society, vol. 51, no. 4, pp. 837 – 851, 2014.
Shadowing is generic|a continuous map case Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 34, no. 9, pp. 3591 – 3609, 2014.
On a Cipher Based on Pseudo-random Walks on Graphs Journal Article
In: Communications in Computer and Information Science, vol. 448 CCIS, pp. 59 – 73, 2014.
Topologically mixing maps and the pseudoarc Journal Article
In: Ukrainian Mathematical Journal, vol. 66, no. 2, pp. 197 – 208, 2014.
2013
Shadowing Property, Weak Mixing and Regular Recurrence Journal Article
In: Journal of Dynamics and Differential Equations, vol. 25, no. 4, pp. 1233 – 1249, 2013.
In: PLoS ONE, vol. 8, no. 12, 2013.
Shadowing, entropy and minimal subsystems Journal Article
In: Monatshefte fur Mathematik, vol. 172, no. 3-4, pp. 357 – 378, 2013.
S-limit shadowing is C0-dense Journal Article
In: Journal of Mathematical Analysis and Applications, vol. 408, no. 2, pp. 465 – 475, 2013.
Coupled-expanding maps and matrix shifts Journal Article
In: International Journal of Bifurcation and Chaos, vol. 23, no. 1, 2013.
Distributional chaos for operators with full scrambled sets Journal Article
In: Mathematische Zeitschrift, vol. 274, no. 1-2, pp. 603 – 612, 2013.
On partial shadowing of complete pseudo-orbits Journal Article
In: Journal of Mathematical Analysis and Applications, vol. 404, no. 1, pp. 47 – 56, 2013.
On n-scrambled tuples and distributional chaos in a sequence Journal Article
In: Journal of Difference Equations and Applications, vol. 19, no. 6, pp. 927 – 941, 2013.
DC3 pairs and the set of discontinuities in distribution functions Journal Article
In: Discrete Dynamics in Nature and Society, vol. 2013, 2013.
Syndetic proximality and scrambled sets Journal Article
In: Topological Methods in Nonlinear Analysis, vol. 41, no. 2, pp. 421 – 461, 2013.
On weak product recurrence and synchronization of return times Journal Article
In: Advances in Mathematics, vol. 244, pp. 395 – 412, 2013.
Characterizations of ω-limit sets in topologically hyperbolic systems Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 33, no. 5, pp. 1819 – 1833, 2013.
Dynamics of spacing shifts Journal Article
In: Discrete and Continuous Dynamical Systems- Series A, vol. 33, no. 9, pp. 4207 – 4232, 2013.
2012
A note on the average shadowing property for expansive maps Journal Article
In: Topology and its Applications, vol. 159, no. 1, pp. 19 – 27, 2012.
On weak mixing, minimality and weak disjointness of all iterates Journal Article
In: Ergodic Theory and Dynamical Systems, vol. 32, no. 5, pp. 1661 – 1672, 2012.
Shadowing and expansivity in subspaces Journal Article
In: Fundamenta Mathematicae, vol. 219, no. 3, pp. 223 – 243, 2012.
Weak mixing and chaos in nonautonomous discrete systems Journal Article
In: Applied Mathematics Letters, vol. 25, no. 8, pp. 1135 – 1141, 2012.
Special issue dedicated to Francisco Balibrea on the occasion of his 60th birthday Journal Article
In: Journal of Difference Equations and Applications, vol. 18, no. 4, pp. 531 – 533, 2012.
On negative limit sets for one-dimensional dynamics Journal Article
In: Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 6, pp. 3262 – 3267, 2012.
On sets with recurrence properties, their topological structure and entropy Journal Article
In: Topology and its Applications, vol. 159, no. 7, pp. 1767 – 1777, 2012.
2011
Coherent lists and chaotic sets Journal Article
In: Discrete and Continuous Dynamical Systems, vol. 31, no. 3, pp. 797 – 825, 2011.
Dimensional entropy over sets and fibres Journal Article
In: Nonlinearity, vol. 24, no. 8, pp. 2325 – 2346, 2011.
Symbolic dynamics, flower automata and infinite traces Journal Article
In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6482 LNCS, pp. 135 – 142, 2011.
On local aspects of topological weak mixing in dimension one and beyond Journal Article
In: Studia Mathematica, vol. 202, no. 3, pp. 261 – 288, 2011.
On variants of distributional chaos in dimension one Journal Article
In: Dynamical Systems, vol. 26, no. 3, pp. 273 – 285, 2011.
A note on transitivity, sensitivity and chaos for graph maps Journal Article
In: Journal of Difference Equations and Applications, vol. 17, no. 10, pp. 1549 – 1553, 2011.
Properties of dynamical systems with the asymptotic average shadowing property Journal Article
In: Fundamenta Mathematicae, vol. 212, no. 1, pp. 35 – 52, 2011.
Infinite traces and symbolic dynamics - The minimal shift case Journal Article
In: Fundamenta Informaticae, vol. 111, no. 2, pp. 147 – 161, 2011.
A dynamical model of parallel computation on bi-infinite time-scale Journal Article
In: Journal of Computational and Applied Mathematics, vol. 235, no. 7, pp. 1826 – 1832, 2011.
2010
Families, filters and chaos Journal Article
In: Bulletin of the London Mathematical Society, vol. 42, no. 4, pp. 713 – 725, 2010.
Exploring the asymptotic average shadowing property Journal Article
In: Journal of Difference Equations and Applications, vol. 16, no. 10, pp. 1131 – 1140, 2010.
On invariant ε-scrambled sets Journal Article
In: International Journal of Bifurcation and Chaos, vol. 20, no. 9, pp. 2925 – 2935, 2010.
A study of chaos for processes under small perturbations Journal Article
In: Publicationes Mathematicae Debrecen, vol. 76, no. 1-2, pp. 101 – 116, 2010.
Weak mixing and product recurrence Journal Article
In: Annales de l'Institut Fourier, vol. 60, no. 4, pp. 1233 – 1257, 2010.
Topological entropy for local processes Journal Article
In: Journal of Differential Equations, vol. 249, no. 8, pp. 1929 – 1967, 2010.
Shadowing, entropy and a homeomorphism of the pseudoarc Journal Article
In: Proceedings of the American Mathematical Society, vol. 138, no. 3, pp. 1047 – 1057, 2010.
2009
Infinite traces and symbolic dynamics Journal Article
In: Theory of Computing Systems, vol. 45, no. 1, pp. 133 – 149, 2009.
Distributional chaos for backward shifts Journal Article
In: Journal of Mathematical Analysis and Applications, vol. 351, no. 2, pp. 607 – 615, 2009.
Invariant scrambled sets and distributional chaos Journal Article
In: Dynamical Systems, vol. 24, no. 1, pp. 31 – 43, 2009.
Shift spaces, ω-chaos and specification property Journal Article
In: Topology and its Applications, vol. 156, no. 18, pp. 2979 – 2985, 2009.
A note on distributional chaos with respect to a sequence Journal Article
In: Nonlinear Analysis, Theory, Methods and Applications, vol. 71, no. 11, pp. 5835 – 5839, 2009.
Distributional chaos revisited Journal Article
In: Transactions of the American Mathematical Society, vol. 361, no. 9, pp. 4901 – 4925, 2009.
Chaos on hyperspaces Journal Article
In: Nonlinear Analysis, Theory, Methods and Applications, vol. 71, no. 1-2, pp. 1 – 8, 2009.
2008
Shadowing in multi-dimensional shift spaces Journal Article
In: Colloquium Mathematicum, vol. 110, no. 2, pp. 451 – 460, 2008.
Chain recurrence in multidimensional time discrete dynamical systems Journal Article
In: Discrete and Continuous Dynamical Systems, vol. 20, no. 4, pp. 1039 – 1056, 2008.
Algorithmic approach to Devaney chaos in shift spaces Journal Article
In: Fundamenta Informaticae, vol. 87, no. 3-4, pp. 435 – 446, 2008.
Specification property and distributional chaos almost everywhere Journal Article
In: Proceedings of the American Mathematical Society, vol. 136, no. 11, pp. 3931 – 3940, 2008.
Spectral Decomposition Theorem for non-hyperbolic maps Journal Article
In: Dynamical Systems, vol. 23, no. 3, pp. 299 – 307, 2008.
2007
A numerical view on topological transitivity and mixing for symbolic dynamics Journal Article
In: Demonstratio Mathematica, vol. 40, no. 1, pp. 229 – 238, 2007.
Topological entropy and chaos for maps induced on hyperspaces Journal Article
In: Chaos, Solitons and Fractals, vol. 33, no. 1, pp. 76 – 86, 2007.
Shift spaces and distributional chaos Journal Article
In: Chaos, Solitons and Fractals, vol. 31, no. 2, pp. 347 – 355, 2007.
Distributional chaos via semiconjugacy Journal Article
In: Nonlinearity, vol. 20, no. 11, pp. 2661 – 2679, 2007.
Specification properties and dense distributional chaos Journal Article
In: Discrete and Continuous Dynamical Systems, vol. 17, no. 4, pp. 821 – 833, 2007.
2006
On entropy and Turing machine with moving tape dynamical model Journal Article
In: Nonlinearity, vol. 19, no. 10, pp. 2475 – 2487, 2006.
Relations between distributional and Devaney chaos Journal Article
In: Chaos, vol. 16, no. 3, 2006.
A quantum harmonic oscillator and strong chaos Journal Article
In: Journal of Physics A: Mathematical and General, vol. 39, no. 47, pp. 14559 – 14565, 2006.
Conferences
Conferences
Upcoming:
Talk: On entropy in Lebesgue measure preserving maps
Special session on Topological Dynamics
Plenary talk: TBA
Past conferences:
Talk: Entropy Flexibility of Dynamical Systems
Special Session on Continuous and Complex Dynamics
We propose a session that will bring together researchers from a broad area of dynamical systems. We are interested in both analytical and topological approaches to research in these areas. Our intention is to invite 15-20 speakers including both experienced researchers and young researchers.
Invited talk: Entropy Flexibility of Dynamical Systems
The workshop will cover a wide range of topics in dynamical systems, including but not limited to:
Hamiltonian dynamical systems and their applications in mathematics;
Complex dynamical systems;
Topological dynamical systems and ergodic theory;
Random dynamical systems.
Invited talk: On inverse limits and planar attractors
Invited talk: On BBM technique and planar attractors
The International Conference on Advanced Topics in Dynamical Systems will be held at Chern Institute of Mathematics, Nankai University, Tianjin.
The conference will focus on the following primary topics:
1. Surface dynamics, as part of the International Conference Series on Surface Dynamics.
2. Hamiltonian dynamics, Symplectic/Contact Geometry, and other related topics.
Plenary talk: On tracing properties, invariant measures, and entropy.
SumTopo is an established conference series since 1986, attracting 120-200 participants annually. As always, this meeting will engage discussion in modern advances in topology through the activities of several special sessions, as well as invited plenary and semi-plenary speakers.
Plenary talk: On invariant sets with vanishing derivative and Cantor set dynamics
Intensive course (10 hours): Tracing, mixing and entropy.
The 18th RTNS (Recent Trends in Nonlinear Science) winter school in Dynamical Systems of the DANCE (Dinámica, Atractores y Nolinealidad: Caos y Estabilidad) Spanish network. Organized by Universitat Politècnica de València.