UO > About > Organizational Structure > Faculties & Institutes > Centre of Excellence IT4Innovations, division of UO, Institute for Research and Applications of Fuzzy Modeling

Piotr Oprocha

Basic information

CV

Publications

Teaching

Supervised theses

Projects

Academic degree, name, surname:

prof. Piotr Oprocha, Ph.D.

Room, floor, building:

B 401, Building B

Position:

Research interests and teaching:

topology a dynamical systems

Department (Faculty):

Institute for Research and Applications of Fuzzy Modeling

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E-mail:

No record found.

A Note on Homeo-Product-Minimality

Jan Boroński, Piotr Oprocha, Magdalena Foryś-Krawiec

Year: 2024, Qualitative Theory of Dynamical Systems

journal article

Renormalization in Lorenz maps – completely invariant sets and periodic orbits

Piotr Oprocha, Lukasz Cholewa

Year: 2024, ADV MATH

journal article

Dendrites and measures with discrete spectrum

Piotr Oprocha, Jana Hantáková, Magdalena Forys, Samuel Roth, Jiří Kupka

Year: 2023, ERGOD THEOR DYN SYST

journal article

New exotic minimal sets from pseudo-suspensions of Cantor systems

Jan Boroński, Piotr Oprocha, Alex Clark

Year: 2023, J DYN DIFFER EQU

journal article

On recurrence and entropy in the hyperspace of continua in dimension one

Piotr Oprocha, Domagoj Jelic

Year: 2023, FUND MATH

journal article

S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps

Jernej Činč, Piotr Oprocha, Jozef Bobok, Serge Troubetzkoy

Year: 2023, ERGOD THEOR DYN SYST

journal article

A Cantor dynamical system is slow if and only if all its finite orbits are attracting

Piotr Oprocha, Silvere Gangloff

Year: 2022, DISCRETE CONT DYN S

journal article

On the structure of alpha-limit sets of backward trajectories for graph maps

Piotr Oprocha, Magda Forys-Krawiec, Jana Hantakova

Year: 2022, DISCRETE CONT DYN S

journal article

Parametrized family of pseudo-arc attractors: Physical measures and prime end rotations

Jernej Činč, Piotr Oprocha

Year: 2022, Proceedings of the London Mathematical Society

journal article

Periodic points and shadowing property for generic Lebesgue measure preserving interval maps

Jernej Činč, Piotr Oprocha, Serge Troubetzkoy, Jozef Bobok

Year: 2022, Nonlinearity

journal article

Quasi-graphs, zero entropy and measures with discrete spectrum

Piotr Oprocha, Jian Li, Guohua Zhang

Year: 2022, NONLINEARITY

journal article

Graph maps with zero topological entropy and sequence entropy pairs

Piotr Oprocha, Jian Li, Xianjuan Liang

Year: 2021, P AM MATH SOC

journal article

MINIMAL NON-INVERTIBLE MAPS ON THE PSEUDO-CIRCLE

Jan Boroński, Piotr Oprocha, Judy Kennedy, Xiaochuan Liu

Year: 2021, J DYN DIFFER EQU

journal article

On entropy of $\Phi$-irregular and $\Phi$-level sets in maps with the shadowing property

Jiří Kupka, Piotr Oprocha, Magdalena Foryš, Xueting Tian

Year: 2021, DISCRETE CONT DYN S

journal article

On α-limit sets in lorenz maps

Piotr Oprocha, Lukasz Cholewa

Year: 2021, Entropy

journal article

SHADOWING IS GENERIC ON VARIOUS ONE-DIMENSIONAL CONTINUA WITH A SPECIAL GEOMETRIC STRUCTURE

Piotr Oprocha, Piotr Koscielniak, Marcin Mazur, Lukasz Kubica

Year: 2020, Journal of Geometric Analysis

journal article

A mixing completely scrambled system exists

Jan Boroński, Jiří Kupka, Piotr Oprocha

Year: 2019, Ergodic Theory and Dynamical Systems

journal article

All minimal Cantor systems are slow

Jan Boroński, Jiří Kupka, Piotr Oprocha

Year: 2019, Bulletin of the London Mathematical Society

journal article

Double minimality, entropy and disjointness with all minimal systems

Piotr Oprocha

Year: 2019, DISCRETE CONT DYN S

journal article

Mixing properties in expanding Lorenz maps

Piotr Oprocha, Peter Raith, Pawel Potorski

Year: 2019, ADV MATH

journal article

omega-Chaos Without Infinite LY-Scrambled Set on Gehman Dendrite

Piotr Oprocha, Tomasz Drwięga

Year: 2019, INT J BIFURCAT CHAOS

journal article

On dynamics of generic maps on Cantor set

Jiří Kupka, Piotr Oprocha

Year: 2019, TOPOL APPL

journal article

Shadowing, asymptotic shadowing and s-limit shadowing

Piotr Oprocha, Chris Good, Mate Puljiz

Year: 2019, FUND MATH

journal article

A compact minimal space Y such that its square Y xY is not minimal

Jan Boroński, Piotr Oprocha, Alex Clark

Year: 2018, ADV MATH

journal article

Corrigendum to “Syndetically proximal pairs” [J. Math. Anal. Appl. 379 (2011) 656–663]

Piotr Oprocha, Jian Li, T.K. Subrahmonian Moothathu

Year: 2018, J MATH ANAL APPL

journal article

Edrei's Conjecture revisited

Jan Boroński, Piotr Oprocha, Jiří Kupka

Year: 2018, ANN HENRI POINCARE

journal article

On dynamics of the Sierpinski Carpet

Jan Boroński, Piotr Oprocha

Year: 2018, CR MATH

journal article

On the irregular points for systems with the shadowing property

Piotr Oprocha, XUETING Tian, Yiwei Dong

Year: 2018, ERGOD THEOR DYN SYST

journal article

Properties of invariant measures in dynamical systems with the shadowing propert

Piotr Oprocha, Jian Li

Year: 2018, ERGOD THEOR DYN SYST

journal article

Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics

Piotr Oprocha, Will Brian

Year: 2018, ISR J MATH

journal article

Distributionally chaotic systems of type 2 and rigidity

Magdalena Foryš, Piotr Oprocha, Marta Stefankova

Year: 2017, J MATH ANAL APPL

journal article

Furstenberg families, sensitivity and the space of probability measures

Jian Li, Piotr Oprocha, Xinxing Wu

Year: 2017, Nonlinearity

journal article

GENERIC POINTS FOR DYNAMICAL SYSTEMS WITH AVERAGE SHADOWING

Dominik Kwietniak, Martha Lacka, Piotr Oprocha

Year: 2017, MONATSH MATH

journal article

Multi-recurrence and van der Waerden systems

Jian Li, Piotr Oprocha, Xiangdong Ye, Dominik Kwietniak

Year: 2017, Science China Mathematics

journal article

On averaged tracing of periodic average pseudo orbits

Piotr Oprocha, Xinxing Wu

Year: 2017, DISCRETE CONT DYN S

journal article

On dynamics of graph maps with zero topological entropy

Piotr Oprocha, Jian Li, Yini Yang, Tiaoying Zeng

Year: 2017, NONLINEARITY

journal article

ON ENTROPY OF GRAPH MAPS THAT GIVE HEREDITARILY INDECOMPOSABLE INVERSE LIMITS

Jan Boroński, Piotr Oprocha

Year: 2017, J DYN DIFFER EQU

journal article

Periodic points and transitivity on dendrites

Piotr Oprocha, Gerardo Acosta, Rodrigo Hernandez-Gutierez, Issam Naghmouchi

Year: 2017, ERGOD THEOR DYN SYST

journal article

When are all closed subsets recurrent?

Piotr Oprocha, Jie Li, Xiangdong Ye, Ruifeng Zhang

Year: 2017, ERGOD THEOR DYN SYST

journal article

On entropy of dynamical systems with almost specification

Piotr Oprocha, Dominik Kwietniak, Michal Rams

Year: 2016, ISR J MATH

journal article

On indecomposability in chaotic attractors

Jan Boroński, Piotr Oprocha

Year: 2015, P AM MATH SOC

journal article

ROTATIONAL CHAOS AND STRANGE ATTRACTORS ON THE 2-TORUS

Jan Boroński, Piotr Oprocha

Year: 2015, MATH Z

journal article

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