Edit Profile (opens in new tab) Lemańczyk, Mariusz Compute Distance To: Compute Author ID: lemanczyk.mariusz Published as: Lemańczyk, Mariusz; Lemańczyk, M.; Lemanczyk, Mariusz; Lemánczyk, Mariusz; Lemanczyk, M.; Lemaṅczyk, M. more...less Homepage: https://www-users.mat.umk.pl/~mlem/ External Links: MGP · Wikidata · Google Scholar · IdRef Documents Indexed: 126 Publications since 1984 6 Contributions as Editor Co-Authors: 69 Co-Authors with 114 Joint Publications 1,087 Co-Co-Authors all top 5 Co-Authors 16 single-authored 16 Frączek, Krzysztof Marek 16 Kułaga-Przymus, Joanna 9 de la Rue, Thierry 9 El Abdalaoui, El Houcein 8 Mentzen, Mieczysław K. 8 Parreau, François 6 Danilenko, Alexandre I. 5 del Junco, Andres 5 Lesigne, Emmanuel 5 Rudolph, Daniel J. 4 Aaronson, Jon 4 Bergelson, Vitaly 4 Ferenczi, Sébastien 4 Goodson, Geoffrey R. 4 Kanigowski, Adam 4 Mauduit, Christian 4 Weiss, Benjamin 3 Fayad, Bassam R. 3 Gabriel, Patrick 3 Gomilko, Alexandre M. 3 Iwanik, Anzelm 3 Kasjan, Stanisław 3 Katok, Anatole 3 Liardet, Pierre 3 Richter, Florian Karl 3 Thouvenot, Jean-Paul 3 Volný, Dalibor 2 Bułatek, Wojciech 2 de Sam Lazaro, José 2 Downarowicz, Tomasz 2 Forni, Giovanni 2 Hasselblatt, Boris 2 Katok, Svetlana R. 2 Keller, Gerhard 2 Müllner, Clemens 2 Nakada, Hitoshi 2 Pesin, Yakov Borisovich 2 Rodriguez-Hertz, Federico 2 Spatzier, Ralf J. 1 Ahn, Youngho 1 Austin, Tim D. 1 Baake, Michael 1 Bouziad, Ahmed 1 Conze, Jean-Pierre 1 Derriennic, Yves 1 Dymek, Aurelia 1 Filipowicz, Iwona 1 Flaminio, Livio 1 Glasner, Eli 1 Hosseini, Maryam 1 Huck, Christian 1 Jarzembski, Grzegorz 1 Konieczny, Jakub 1 Kwiatkowski, Jakub 1 Kwiatkowsky, Jan 1 Kwietniak, Dominik 1 Marmi, Stefano 1 Nickel, Andreas 1 Radziwiłł, Maksym 1 Richard, Christoph 1 Rosenblatt, Joseph Max 1 Roy, Emmanuel 1 Schmidt, Klaus 1 Sell, Daniel 1 Siemaszko, Artur 1 Sikorski, Andrzej 1 Sinel’shchikov, Sergey D. 1 Skrenty, Dariusz 1 ter Elst, Antonius Frederik Maria 1 Ulcigrai, Corinna 1 Wierdl, Máté 1 Wysokińska, Magdalena all top 5 Serials 17 Ergodic Theory and Dynamical Systems 15 Studia Mathematica 9 Proceedings of the American Mathematical Society 8 Israel Journal of Mathematics 8 Fundamenta Mathematicae 7 Monatshefte für Mathematik 6 Discrete and Continuous Dynamical Systems 5 IMRN. International Mathematics Research Notices 4 Colloquium Mathematicum 4 Journal of Modern Dynamics 3 Journal d’Analyse Mathématique 3 Journal of the London Mathematical Society. Second Series 3 Bulletin of the Polish Academy of Sciences, Mathematics 2 Nonlinearity 2 Compositio Mathematica 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 1 IEEE Transactions on Information Theory 1 Archiv der Mathematik 1 Commentationes Mathematicae Universitatis Carolinae 1 Demonstratio Mathematica 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Semigroup Forum 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Publicacions Matemàtiques 1 Aequationes Mathematicae 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Topological Methods in Nonlinear Analysis 1 Moscow Mathematical Journal 1 Lecture Notes in Mathematics 1 Journal of Fixed Point Theory and Applications 1 Pure and Applied Functional Analysis all top 5 Fields 91 Dynamical systems and ergodic theory (37-XX) 64 Measure and integration (28-XX) 18 Number theory (11-XX) 11 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 5 Topological groups, Lie groups (22-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 694 times in 320 Documents Cited by ▼ Year ▼ The Chowla and the Sarnak conjectures from ergodic theory point of view. Zbl 1360.37019de la Rue, Thierry; Lemańczyk, Mariusz; Kułaga-Przymus, Joanna; El Abdalaoui, El Houcein 42 2017 On spectral disjointness of powers for rank-one transformations and Möbius orthogonality. Zbl 1351.37048El Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 26 2014 Sarnak’s conjecture: what’s new. Zbl 1421.37003Ferenczi, Sébastien; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 25 2018 Absolutely continuous cocycles over irrational rotations. Zbl 0786.28011Iwanik, A.; Lemańczyk, M.; Rudolph, D. 19 1993 Gaussian automorphisms whose ergodic self-joinings are Gaussian. Zbl 0977.37003Lemańczyk, M.; Parreau, F.; Thouvenot, J.-P. 19 2000 A dynamical point of view on the set of \(\mathcal{B}\)-free integers. Zbl 1341.37002El Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 19 2015 \(0-1\) sequences of the Thue-Morse type and Sarnak’s conjecture. Zbl 1352.37031El Abdalaoui, El Houcein; Kasjan, Stanisław; Lemańczyk, Mariusz 19 2016 Rigidity and non-recurrence along sequences. Zbl 1351.37002Bergelson, V.; Del Junco, A.; Lemańczyk, M.; Rosenblatt, J. 19 2014 The Möbius function and continuous extensions of rotations. Zbl 1359.37019Kułaga-Przymus, J.; Lemańczyk, M. 19 2015 On mild mixing of special flows over irrational rotations under piecewise smooth functions. Zbl 1096.37017Fraczek, K.; Lemańczyk, M. 18 2006 Generic spectral properties of measure-preserving maps and applications. Zbl 0762.28015Del Junco, Andrés; Lemańczyk, Mariusz 15 1992 A class of special flows over irrational rotations which is disjoint from mixing flows. Zbl 1072.37003Frączek, K.; Lemańczyk, M. 14 2004 On invariant measures for \(\mathcal{B}\)-free systems. Zbl 1353.37017Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Weiss, Benjamin 14 2015 Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervals. Zbl 1405.37010el Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 13 2017 Ensemble d’invariants pour les produits croisés de Anzai. (Set of invariants for crossed Anzai products). Zbl 0754.28011Gabriel, P.; Lemańczyk, M.; Liardet, P. 13 1991 On disjointness properties of some smooth flows. Zbl 1093.37001Frączek, Krzysztof; Lemańczyk, Mariusz 11 2005 Ergodic transformations conjugate to their inverses by involutions. Zbl 0846.28008Goodson, Geoffrey R.; Del Junco, Andrés; Lemańczyk, Mariusz; Rudolph, Daniel J. 11 1996 Mild mixing property for special flows under piecewise constant functions. Zbl 1149.37003Fraçzek, K.; Lemańczyk, M.; Lesigne, E. 11 2007 On symmetric logarithm and some old examples in smooth ergodic theory. Zbl 1047.37027Frączek, K.; Lemańczyk, M. 11 2003 On metric properties of substitutions. Zbl 0696.28009Lemańczyk, Mariusz; Mentzen, Mieczysław K. 11 1988 Some new cases of realization of spectral multiplicity function for ergodic transformations. Zbl 1187.37005Katok, A.; Lemańczyk, M. 10 2009 \(\mathscr {B}\)-free sets and dynamics. Zbl 1395.37007Dymek, Aurelia; Kasjan, Stanisław; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 9 2018 On disjointness properties of some parabolic flows. Zbl 1453.37003Kanigowski, Adam; Lemańczyk, Mariusz; Ulcigrai, Corinna 9 2020 Piecewise absolutely continuous cocycles over irrational rotations. Zbl 0931.28015Iwanik, A.; Lemańczyk, M.; Mauduit, C. 9 1999 Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces. Zbl 0876.28021Lemańczyk, M.; Parreau, F.; Volný, D. 9 1996 Substitutions and Möbius disjointness. Zbl 1364.37027Ferenczi, S.; Kułaga-Przymus, J.; Lemańczyk, M.; Mauduit, C. 9 2016 Approximate orthogonality of powers for ergodic affine unipotent diffeomorphisms on nilmanifolds. Zbl 1432.37004Flaminio, Livio; Frączek, Krzysztof; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 8 2019 Toeplitz \(Z_ 2\)-extensions. Zbl 0647.28013Lemańczyk, Mariusz 8 1988 Rokhlin extensions and lifting disjointness. Zbl 1043.37004Lemańczyk, Mariusz; Parreau, François 8 2003 Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings. Zbl 1142.37005Derriennic, Y.; Frączek, K.; Lemańczyk, M.; Parreau, F. 8 2008 K-property for Maharam extensions of non-singular Bernoulli and Markov shifts. Zbl 1432.37017Danilenko, Alexandre I.; Lemańczyk, Mariusz 7 2019 Dynamics of \(\mathcal{B}\)-free sets: a view through the window. Zbl 1436.37016Kasjan, Stanisław; Keller, Gerhard; Lemańczyk, Mariusz 7 2019 Ergodicity of Rokhlin cocycles. Zbl 1038.37003Lemańczyk, Mariusz; Lesigne, Emmanuel 7 2001 A class of real cocycles having an analytic coboundary modification. Zbl 0817.28009Kwiatkowski, J.; Lemańczyk, M.; Rudolph, D. 7 1994 Semisimplicity, joinings and group extensions. Zbl 0814.28007del Junco, A.; Lemańczyk, M.; Mentzen, M. K. 7 1995 On the absence of mixing for special flows over an irrational rotation. (Sur l’absence de mélange pour des flots spéciaux au-dessus d’une rotation irrationnelle.) Zbl 0983.37004Lemańczyk, M. 7 2000 On the multiplicity function of ergodic group extensions. II. Zbl 0857.28012Kwiatkowski, Jakub; Lemańczyk, Mariusz 6 1995 Koksma’s inequality and group extensions of Kronecker transformations. Zbl 0878.28009Aaronson, Jon; Lemańczyk, Mariusz; Mauduit, Christian; Nakada, Hitoshi 6 1995 Möbius disjointness for models of an ergodic system and beyond. Zbl 1410.37009el Abdalaoui, El Houcein; Kułaga-Przymus, Joanna; Lemánczyk, Mariusz; de la Rue, Thierry 6 2018 On the self-similarity problem for ergodic flows. Zbl 1186.37008Frączek, K.; Lemańczyk, M. 6 2009 A compact monothetic semitopological semigroup whose set of idempotents is not closed. Zbl 0965.22002Bouziad, A.; Lemańczyk, M.; Mentzen, M. K. 6 2001 Spectral multiplicities for ergodic flows. Zbl 1306.37006Danilenko, Alexandre I.; Lemańczyk, Mariusz 6 2013 Smooth singular flows in dimension 2 with the minimal self-joining property. Zbl 1162.37003Frączek, K.; Lemańczyk, M. 5 2009 Weakly isomorphic transformations that are not isomorphic. Zbl 0628.60015Lemańczyk, M. 5 1988 On the multiplicity function of ergodic group extensions of rotations. Zbl 0830.28009Goodson, G. R.; Kwiatkowski, J.; Lemańczyk, M.; Liardet, P. 5 1992 Semisimple extensions of irrational rotations. Zbl 1019.37001Lemańczyk, Mariusz; Mentzen, Mieczysław K.; Nakada, Hitoshi 5 2003 On the Hausdorff dimension of the set of closed orbits for a cylindrical transformation. Zbl 1232.37009Frączek, K.; Lemańczyk, M. 5 2010 Ratner’s property and mild mixing for special flows over two-dimensional rotations. Zbl 1215.37011Frączek, Krzysztof; Lemańczyk, Mariusz 5 2010 Simple systems are disjoint from Gaussian systems. Zbl 0931.37001del Junco, Andrés; Lemańczyk, Mariusz 5 1999 On the disjointness problem for Gaussian automorphisms. Zbl 0923.28007Lemańczyk, M.; Parreau, F. 5 1999 The rank of regular Morse dynamical systems. Zbl 0549.28026Lemańczyk, Mariusz 5 1985 Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors. Zbl 0725.54030Lemańczyk, Mariusz; Mentzen, Mieczysław K. 5 1990 A note on the existence of a largest topological factor with zero entropy. Zbl 0963.37014Lemanczyk, M.; Siemaszko, A. 5 2001 Non-reversibility and self-joinings of higher orders for ergodic flows. Zbl 1347.37003Frączek, Krzysztof; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 5 2014 On one-parameter Koopman groups. Zbl 1377.37006ter Elst, A. F. M.; Lemańczyk, M. 5 2017 Transformations conjugate to their inverses have even essential values. Zbl 0867.28008Goodson, Geoffrey; Lemańczyk, Mariusz 4 1996 Weak isomorphism of measure-preserving diffeomorphisms. Zbl 0774.28008Kwiatkowski, J.; Lemańczyk, M.; Rudolph, D. 4 1992 Automatic sequences are orthogonal to aperiodic multiplicative functions. Zbl 1454.37020Lemańczyk, Mariusz; Müllner, Clemens 4 2020 Relative discrete spectrum and joinings. Zbl 1090.37002Lemańczyk, M.; Thouvenot, J.-P.; Weiss, B. 4 2002 Ergodicity of a class of cocycles over irrational rotations. Zbl 0801.28009Lemańczyk, Mariusz; Mauduit, Christian 4 1994 Sarnak’s conjecture implies the Chowla conjecture along a subsequence. Zbl 1403.37015Gomilko, Alexander; Kwietniak, Dominik; Lemańczyk, Mariusz 4 2018 Extensions of cocycles for hyperfinite actions and applications. Zbl 0887.28008Gabriel, P.; Lemańczyk, M.; Schmidt, K. 4 1997 Topological ergodicity of real cocycles over minimal rotations. Zbl 1002.54023Lemańczyk, Mariusz; Mentzen, Mieczysław K. 4 2002 The centralizer of Morse shifts. Zbl 0587.28016Lemanczyk, Mariusz 4 1985 On the rank of a class of bijective substitutions. Zbl 0711.28007Goodson, G. R.; Lemańczyk, M. 4 1990 IP-rigidity and eigenvalue groups. Zbl 1309.37013Aaronson, Jon; Hosseini, Maryam; Lemańczyk, Mariusz 4 2014 Hereditary subshifts whose simplex of invariant measures is poulsen. Zbl 1364.37031Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Weiss, Benjamin 4 2016 Flows with Ratner’s property have discrete essential centralizer. Zbl 1375.37005Kanigowski, Adam; Lemańczyk, Mariusz 4 2017 Erratum to: “Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervals”. Zbl 1405.37009el Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 3 2017 On the filtering problem for stationary random \(\mathbb Z^2\)-fields. Zbl 1285.60040Bułatek, W.; Lemańczyk, M.; Lesigne, E. 3 2005 Approximate transitivity property and Lebesgue spectrum. Zbl 1202.37006El Abdalaoui, E. H.; Lemańczyk, M. 3 2010 Joining primeness and disjointness from infinitely divisible systems. Zbl 1213.37007Lemańczyk, Mariusz; Parreau, François; Roy, Emmanuel 3 2011 Approximately transitive dynamical systems and simple spectrum. Zbl 1260.37005el Abdalaoui, E. H.; Lemańczyk, M. 3 2011 Two-point cocycles with a strong ergodicity property. Zbl 0759.28011Gabriel, Patrick; Lemańczyk, Mariusz; Mentzen, Mieczysław K. 3 1989 A cut salad of cocyles. Zbl 0966.28010Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor 3 1998 On the ergodicity of cylindrical transformations given by the logarithm. Zbl 1130.37341Fayad, Bassam; Lemańczyk, Mariusz 3 2006 The sequence entropy for Morse shifts and some counterexamples. Zbl 0594.28022Lemańczyk, Mariusz 3 1985 On the weak isomorphism of strictly ergodic homeomorphisms. Zbl 0679.28008Lemańczyk, Mariusz 3 1989 Multiplicative Gaussian cocycles. Zbl 0974.37004Lemańczyk, M.; Lesigne, E.; Skrenty, D. 3 2001 Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries. Zbl 1100.37001Aaronson, Jon; Lemańczyk, Mariusz 3 2005 Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics. Zbl 1422.37008Bergelson, V.; Kułaga-Przymus, J.; Lemańczyk, M.; Richter, F. K. 3 2019 A structure theorem for level sets of multiplicative functions and applications. Zbl 1447.37009Bergelson, Vitaly; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Richter, Florian K. 2 2020 Analytic nonregular cocycles over irrational rotations. Zbl 0851.28008Lemańczyk, M. 2 1995 Entropy of Gaussian actions for countable Abelian groups. Zbl 0917.28016Lemánczyk, Mariusz 2 1998 Möbius orthogonality in density for zero entropy dynamical systems. Zbl 1473.37008Gomilko, Alexander; Lemańczyk, Mariusz; de la Rue, Thierry 2 2020 Rigidity in dynamics and Möbius disjointness. Zbl 1490.37009Kanigowski, Adam; Lemańczyk, Mariusz; Radziwiłł, Maksym 2 2021 Rank is not a spectral invariant. Zbl 0728.28014Ferenczi, Sebastien; Lemańczyk, Mariusz 2 1991 Lifting mixing properties by Rokhlin cocycles. Zbl 1277.37011Lemańczyk, Mariusz; Parreau, François 2 2012 Möbius disjointness along ergodic sequences for uniquely ergodic actions. Zbl 1435.37010Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 2 2019 On analytic flows on the torus which are disjoint from systems of probabilistic origin. Zbl 1127.37003Lemańczyk, Mariusz; Wysokińska, Magdalena 2 2007 Random ergodic theorems and real cocycles. Zbl 1023.37001Lemańczyk, Mariusz; Lesigne, Emmanuel; Parreau, François; Volný, Dalibor; Wierdl, Maté 1 2002 Coalescence of circle extensions of measure-preserving transformations. Zbl 0785.58030Lemańczyk, Mariusz; Liardet, Pierre; Thouvenot, Jean-Paul 1 1992 Measure-preserving diffeomorphisms with an arbitrary spectral multiplicity. Zbl 0793.28012Blanchard, F.; Lemańczyk, M. 1 1993 Cohomology groups, multipliers and factors in ergodic theory. Zbl 0884.28012Lemańczyk, M. 1 1997 Ergodic \(Z_ 2\)-extensions over rational pure point spectrum, category and homomorphisms. Zbl 0629.28013Lemańczyk, M. 1 1987 Generalized Morse sequences on n-symbols and m-symbols are not isomorphic. Zbl 0631.28011Lemańczyk, Mariusz; Mentzen, Mieczysław K. 1 1985 Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles. Zbl 1223.37004Austin, Tim; Lemańczyk, Mariusz 1 2009 Ergodic cocycles of IDPFT systems and non-singular Gaussian actions. Zbl 07543033Danilenko, Alexandre I.; Lemańczyk, Mariusz 1 2022 Odometer actions of the Heisenberg group. Zbl 1355.37012Danilenko, Alexandre I.; Lemańczyk, Mariusz 1 2016 Factors of coalescent automorphisms. Zbl 0695.28005Lemańczyk, Mariusz 1 1988 Ergodic cocycles of IDPFT systems and non-singular Gaussian actions. Zbl 07543033Danilenko, Alexandre I.; Lemańczyk, Mariusz 1 2022 Rigidity in dynamics and Möbius disjointness. Zbl 1490.37009Kanigowski, Adam; Lemańczyk, Mariusz; Radziwiłł, Maksym 2 2021 On disjointness properties of some parabolic flows. Zbl 1453.37003Kanigowski, Adam; Lemańczyk, Mariusz; Ulcigrai, Corinna 9 2020 Automatic sequences are orthogonal to aperiodic multiplicative functions. Zbl 1454.37020Lemańczyk, Mariusz; Müllner, Clemens 4 2020 A structure theorem for level sets of multiplicative functions and applications. Zbl 1447.37009Bergelson, Vitaly; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Richter, Florian K. 2 2020 Möbius orthogonality in density for zero entropy dynamical systems. Zbl 1473.37008Gomilko, Alexander; Lemańczyk, Mariusz; de la Rue, Thierry 2 2020 Approximate orthogonality of powers for ergodic affine unipotent diffeomorphisms on nilmanifolds. Zbl 1432.37004Flaminio, Livio; Frączek, Krzysztof; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 8 2019 K-property for Maharam extensions of non-singular Bernoulli and Markov shifts. Zbl 1432.37017Danilenko, Alexandre I.; Lemańczyk, Mariusz 7 2019 Dynamics of \(\mathcal{B}\)-free sets: a view through the window. Zbl 1436.37016Kasjan, Stanisław; Keller, Gerhard; Lemańczyk, Mariusz 7 2019 Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics. Zbl 1422.37008Bergelson, V.; Kułaga-Przymus, J.; Lemańczyk, M.; Richter, F. K. 3 2019 Möbius disjointness along ergodic sequences for uniquely ergodic actions. Zbl 1435.37010Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 2 2019 A generalization of Kátai’s orthogonality criterion with applications. Zbl 1439.11167Bergelson, Vitaly; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Richter, Florian K. 1 2019 Sarnak’s conjecture: what’s new. Zbl 1421.37003Ferenczi, Sébastien; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 25 2018 \(\mathscr {B}\)-free sets and dynamics. Zbl 1395.37007Dymek, Aurelia; Kasjan, Stanisław; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 9 2018 Möbius disjointness for models of an ergodic system and beyond. Zbl 1410.37009el Abdalaoui, El Houcein; Kułaga-Przymus, Joanna; Lemánczyk, Mariusz; de la Rue, Thierry 6 2018 Sarnak’s conjecture implies the Chowla conjecture along a subsequence. Zbl 1403.37015Gomilko, Alexander; Kwietniak, Dominik; Lemańczyk, Mariusz 4 2018 The Chowla and the Sarnak conjectures from ergodic theory point of view. Zbl 1360.37019de la Rue, Thierry; Lemańczyk, Mariusz; Kułaga-Przymus, Joanna; El Abdalaoui, El Houcein 42 2017 Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervals. Zbl 1405.37010el Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 13 2017 On one-parameter Koopman groups. Zbl 1377.37006ter Elst, A. F. M.; Lemańczyk, M. 5 2017 Flows with Ratner’s property have discrete essential centralizer. Zbl 1375.37005Kanigowski, Adam; Lemańczyk, Mariusz 4 2017 Erratum to: “Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervals”. Zbl 1405.37009el Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 3 2017 \(0-1\) sequences of the Thue-Morse type and Sarnak’s conjecture. Zbl 1352.37031El Abdalaoui, El Houcein; Kasjan, Stanisław; Lemańczyk, Mariusz 19 2016 Substitutions and Möbius disjointness. Zbl 1364.37027Ferenczi, S.; Kułaga-Przymus, J.; Lemańczyk, M.; Mauduit, C. 9 2016 Hereditary subshifts whose simplex of invariant measures is poulsen. Zbl 1364.37031Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Weiss, Benjamin 4 2016 Odometer actions of the Heisenberg group. Zbl 1355.37012Danilenko, Alexandre I.; Lemańczyk, Mariusz 1 2016 A dynamical point of view on the set of \(\mathcal{B}\)-free integers. Zbl 1341.37002El Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 19 2015 The Möbius function and continuous extensions of rotations. Zbl 1359.37019Kułaga-Przymus, J.; Lemańczyk, M. 19 2015 On invariant measures for \(\mathcal{B}\)-free systems. Zbl 1353.37017Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Weiss, Benjamin 14 2015 On spectral disjointness of powers for rank-one transformations and Möbius orthogonality. Zbl 1351.37048El Abdalaoui, El Houcein; Lemańczyk, Mariusz; de la Rue, Thierry 26 2014 Rigidity and non-recurrence along sequences. Zbl 1351.37002Bergelson, V.; Del Junco, A.; Lemańczyk, M.; Rosenblatt, J. 19 2014 Non-reversibility and self-joinings of higher orders for ergodic flows. Zbl 1347.37003Frączek, Krzysztof; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz 5 2014 IP-rigidity and eigenvalue groups. Zbl 1309.37013Aaronson, Jon; Hosseini, Maryam; Lemańczyk, Mariusz 4 2014 Spectral multiplicities for ergodic flows. Zbl 1306.37006Danilenko, Alexandre I.; Lemańczyk, Mariusz 6 2013 On the self-similarity problem for Gaussian-Kronecker flows. Zbl 1296.37005Frączek, Krzysztof; Kułaga, Joanna; Lemańczyk, Mariusz 1 2013 Lifting mixing properties by Rokhlin cocycles. Zbl 1277.37011Lemańczyk, Mariusz; Parreau, François 2 2012 Joining primeness and disjointness from infinitely divisible systems. Zbl 1213.37007Lemańczyk, Mariusz; Parreau, François; Roy, Emmanuel 3 2011 Approximately transitive dynamical systems and simple spectrum. Zbl 1260.37005el Abdalaoui, E. H.; Lemańczyk, M. 3 2011 On the Hausdorff dimension of the set of closed orbits for a cylindrical transformation. Zbl 1232.37009Frączek, K.; Lemańczyk, M. 5 2010 Ratner’s property and mild mixing for special flows over two-dimensional rotations. Zbl 1215.37011Frączek, Krzysztof; Lemańczyk, Mariusz 5 2010 Approximate transitivity property and Lebesgue spectrum. Zbl 1202.37006El Abdalaoui, E. H.; Lemańczyk, M. 3 2010 Some new cases of realization of spectral multiplicity function for ergodic transformations. Zbl 1187.37005Katok, A.; Lemańczyk, M. 10 2009 On the self-similarity problem for ergodic flows. Zbl 1186.37008Frączek, K.; Lemańczyk, M. 6 2009 Smooth singular flows in dimension 2 with the minimal self-joining property. Zbl 1162.37003Frączek, K.; Lemańczyk, M. 5 2009 Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles. Zbl 1223.37004Austin, Tim; Lemańczyk, Mariusz 1 2009 Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings. Zbl 1142.37005Derriennic, Y.; Frączek, K.; Lemańczyk, M.; Parreau, F. 8 2008 Mild mixing property for special flows under piecewise constant functions. Zbl 1149.37003Fraçzek, K.; Lemańczyk, M.; Lesigne, E. 11 2007 On analytic flows on the torus which are disjoint from systems of probabilistic origin. Zbl 1127.37003Lemańczyk, Mariusz; Wysokińska, Magdalena 2 2007 On mild mixing of special flows over irrational rotations under piecewise smooth functions. Zbl 1096.37017Fraczek, K.; Lemańczyk, M. 18 2006 On the ergodicity of cylindrical transformations given by the logarithm. Zbl 1130.37341Fayad, Bassam; Lemańczyk, Mariusz 3 2006 On disjointness properties of some smooth flows. Zbl 1093.37001Frączek, Krzysztof; Lemańczyk, Mariusz 11 2005 On the filtering problem for stationary random \(\mathbb Z^2\)-fields. Zbl 1285.60040Bułatek, W.; Lemańczyk, M.; Lesigne, E. 3 2005 Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries. Zbl 1100.37001Aaronson, Jon; Lemańczyk, Mariusz 3 2005 A class of multipliers for \({\mathcal W}^\perp\). Zbl 1092.37002Danilenko, Alexandre I.; Lemańczyk, Mariusz 1 2005 A class of special flows over irrational rotations which is disjoint from mixing flows. Zbl 1072.37003Frączek, K.; Lemańczyk, M. 14 2004 On symmetric logarithm and some old examples in smooth ergodic theory. Zbl 1047.37027Frączek, K.; Lemańczyk, M. 11 2003 Rokhlin extensions and lifting disjointness. Zbl 1043.37004Lemańczyk, Mariusz; Parreau, François 8 2003 Semisimple extensions of irrational rotations. Zbl 1019.37001Lemańczyk, Mariusz; Mentzen, Mieczysław K.; Nakada, Hitoshi 5 2003 Relative discrete spectrum and joinings. Zbl 1090.37002Lemańczyk, M.; Thouvenot, J.-P.; Weiss, B. 4 2002 Topological ergodicity of real cocycles over minimal rotations. Zbl 1002.54023Lemańczyk, Mariusz; Mentzen, Mieczysław K. 4 2002 Random ergodic theorems and real cocycles. Zbl 1023.37001Lemańczyk, Mariusz; Lesigne, Emmanuel; Parreau, François; Volný, Dalibor; Wierdl, Maté 1 2002 Ergodicity of Rokhlin cocycles. Zbl 1038.37003Lemańczyk, Mariusz; Lesigne, Emmanuel 7 2001 A compact monothetic semitopological semigroup whose set of idempotents is not closed. Zbl 0965.22002Bouziad, A.; Lemańczyk, M.; Mentzen, M. K. 6 2001 A note on the existence of a largest topological factor with zero entropy. Zbl 0963.37014Lemanczyk, M.; Siemaszko, A. 5 2001 Multiplicative Gaussian cocycles. Zbl 0974.37004Lemańczyk, M.; Lesigne, E.; Skrenty, D. 3 2001 Gaussian automorphisms whose ergodic self-joinings are Gaussian. Zbl 0977.37003Lemańczyk, M.; Parreau, F.; Thouvenot, J.-P. 19 2000 On the absence of mixing for special flows over an irrational rotation. (Sur l’absence de mélange pour des flots spéciaux au-dessus d’une rotation irrationnelle.) Zbl 0983.37004Lemańczyk, M. 7 2000 Piecewise absolutely continuous cocycles over irrational rotations. Zbl 0931.28015Iwanik, A.; Lemańczyk, M.; Mauduit, C. 9 1999 Simple systems are disjoint from Gaussian systems. Zbl 0931.37001del Junco, Andrés; Lemańczyk, Mariusz 5 1999 On the disjointness problem for Gaussian automorphisms. Zbl 0923.28007Lemańczyk, M.; Parreau, F. 5 1999 A cut salad of cocyles. Zbl 0966.28010Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor 3 1998 Entropy of Gaussian actions for countable Abelian groups. Zbl 0917.28016Lemánczyk, Mariusz 2 1998 Extensions of cocycles for hyperfinite actions and applications. Zbl 0887.28008Gabriel, P.; Lemańczyk, M.; Schmidt, K. 4 1997 Cohomology groups, multipliers and factors in ergodic theory. Zbl 0884.28012Lemańczyk, M. 1 1997 Ergodic transformations conjugate to their inverses by involutions. Zbl 0846.28008Goodson, Geoffrey R.; Del Junco, Andrés; Lemańczyk, Mariusz; Rudolph, Daniel J. 11 1996 Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces. Zbl 0876.28021Lemańczyk, M.; Parreau, F.; Volný, D. 9 1996 Transformations conjugate to their inverses have even essential values. Zbl 0867.28008Goodson, Geoffrey; Lemańczyk, Mariusz 4 1996 Semisimplicity, joinings and group extensions. Zbl 0814.28007del Junco, A.; Lemańczyk, M.; Mentzen, M. K. 7 1995 On the multiplicity function of ergodic group extensions. II. Zbl 0857.28012Kwiatkowski, Jakub; Lemańczyk, Mariusz 6 1995 Koksma’s inequality and group extensions of Kronecker transformations. Zbl 0878.28009Aaronson, Jon; Lemańczyk, Mariusz; Mauduit, Christian; Nakada, Hitoshi 6 1995 Analytic nonregular cocycles over irrational rotations. Zbl 0851.28008Lemańczyk, M. 2 1995 A class of real cocycles having an analytic coboundary modification. Zbl 0817.28009Kwiatkowski, J.; Lemańczyk, M.; Rudolph, D. 7 1994 Ergodicity of a class of cocycles over irrational rotations. Zbl 0801.28009Lemańczyk, Mariusz; Mauduit, Christian 4 1994 Absolutely continuous cocycles over irrational rotations. Zbl 0786.28011Iwanik, A.; Lemańczyk, M.; Rudolph, D. 19 1993 Measure-preserving diffeomorphisms with an arbitrary spectral multiplicity. Zbl 0793.28012Blanchard, F.; Lemańczyk, M. 1 1993 Generic spectral properties of measure-preserving maps and applications. Zbl 0762.28015Del Junco, Andrés; Lemańczyk, Mariusz 15 1992 On the multiplicity function of ergodic group extensions of rotations. Zbl 0830.28009Goodson, G. R.; Kwiatkowski, J.; Lemańczyk, M.; Liardet, P. 5 1992 Weak isomorphism of measure-preserving diffeomorphisms. Zbl 0774.28008Kwiatkowski, J.; Lemańczyk, M.; Rudolph, D. 4 1992 Coalescence of circle extensions of measure-preserving transformations. Zbl 0785.58030Lemańczyk, Mariusz; Liardet, Pierre; Thouvenot, Jean-Paul 1 1992 Ensemble d’invariants pour les produits croisés de Anzai. (Set of invariants for crossed Anzai products). Zbl 0754.28011Gabriel, P.; Lemańczyk, M.; Liardet, P. 13 1991 Rank is not a spectral invariant. Zbl 0728.28014Ferenczi, Sebastien; Lemańczyk, Mariusz 2 1991 Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors. Zbl 0725.54030Lemańczyk, Mariusz; Mentzen, Mieczysław K. 5 1990 On the rank of a class of bijective substitutions. Zbl 0711.28007Goodson, G. R.; Lemańczyk, M. 4 1990 Two-point cocycles with a strong ergodicity property. Zbl 0759.28011Gabriel, Patrick; Lemańczyk, Mariusz; Mentzen, Mieczysław K. 3 1989 On the weak isomorphism of strictly ergodic homeomorphisms. Zbl 0679.28008Lemańczyk, Mariusz 3 1989 On metric properties of substitutions. Zbl 0696.28009Lemańczyk, Mariusz; Mentzen, Mieczysław K. 11 1988 Toeplitz \(Z_ 2\)-extensions. Zbl 0647.28013Lemańczyk, Mariusz 8 1988 Weakly isomorphic transformations that are not isomorphic. Zbl 0628.60015Lemańczyk, M. 5 1988 Factors of coalescent automorphisms. Zbl 0695.28005Lemańczyk, Mariusz 1 1988 Ergodic \(Z_ 2\)-extensions over rational pure point spectrum, category and homomorphisms. Zbl 0629.28013Lemańczyk, M. 1 1987 A class of not local rank one automorphisms arising from continuous substitutions. Zbl 0611.60002Lemanczyk, Mariusz; Sikorski, Andrzej 1 1987 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 272 Authors 53 Lemańczyk, Mariusz 18 Kułaga-Przymus, Joanna 15 Frączek, Krzysztof Marek 15 Kanigowski, Adam 12 El Abdalaoui, El Houcein 11 Danilenko, Alexandre I. 11 Ryzhikov, Valeriĭ Valentinovich 8 Roy, Emmanuel 7 de la Rue, Thierry 7 Ulcigrai, Corinna 7 Weiss, Benjamin 6 Chaika, Jonathan 6 Frantzikinakis, Nikos 6 Glasner, Eli 6 Huang, Wen 6 Keller, Gerhard 6 Mauduit, Christian 6 Rudolph, Daniel J. 6 Tiedra de Aldecoa, Rafael 6 Ye, Xiangdong 5 Conze, Jean-Pierre 5 Eisner, Tanja 5 Fan, Ai Hua 5 Ferenczi, Sébastien 5 Kosloff, Zemer 5 Müllner, Clemens 5 Thouvenot, Jean-Paul 5 Wang, Zhiren 4 Bergelson, Vitaly 4 Downarowicz, Tomasz 4 Drmota, Michael 4 Fayad, Bassam R. 4 Goodson, Geoffrey R. 4 Grivaux, Sophie 4 Konieczny, Jakub 4 Kwiatkowski, Jan 4 Parreau, François 4 Shi, Ruxi 4 Tao, Terence 4 Vaes, Stefaan 4 Yassawi, Reem 3 Baake, Michael 3 Bowen, Lewis Phylip 3 Buczolich, Zoltán 3 Dong, Changguang 3 Forni, Giovanni 3 Greschonig, Gernot 3 Kasjan, Stanisław 3 Kunde, Philipp 3 Lesigne, Emmanuel 3 Ravotti, Davide 3 Richard, Christoph 3 Rivat, Joël 3 Zhang, Guohua 2 Ageev, Oleg N. 2 Ahn, Youngho 2 Austin, Tim D. 2 Badea, Catalin 2 Berk, Przemysław 2 Bustos, Álvaro 2 Cameron, Jan M. 2 Cuny, Christophe 2 del Junco, Andres 2 Dymek, Aurelia 2 Edeko, Nikolai 2 Etedadialiabadi, Mahmood 2 Gabriel, Patrick 2 Giannakis, Dimitrios 2 Guenais, Mélanie 2 Host, Bernard 2 Huck, Christian 2 Karagulyan, Davit 2 Kochergin, Andrey V. 2 Kwietniak, Dominik 2 Lacroix, Yves 2 Le, Anh Ngoc 2 Lemańczyk, Michał D. 2 Liardet, Pierre 2 Mañibo, Neil 2 Mukherjee, Kunal K. 2 Munteanu, Radu-Bogdan 2 Nevo, Amos 2 Peckner, Ryan 2 Radziwiłł, Maksym 2 Richard, Serge 2 Richter, Florian Karl 2 Schmidt, Klaus 2 Sikorski, Andrzej 2 Solomko, Anton V. 2 Solomyak, Boris 2 Soo, Terry 2 Spiegelhofer, Lukas 2 Strungaru, Nicolae 2 Teräväinen, Joni 2 Volný, Dalibor 2 Xu, Leiye 1 Aaronson, Jon 1 Ackelsberg, Ethan M. 1 Adamczewski, Boris 1 Askri, Ghassen ...and 172 more Authors all top 5 Cited in 93 Serials 41 Ergodic Theory and Dynamical Systems 28 Israel Journal of Mathematics 19 Journal d’Analyse Mathématique 18 Discrete and Continuous Dynamical Systems 16 Proceedings of the American Mathematical Society 13 Transactions of the American Mathematical Society 11 Monatshefte für Mathematik 9 Advances in Mathematics 9 Inventiones Mathematicae 8 Journal of Mathematical Analysis and Applications 8 Journal of Modern Dynamics 6 Journal of Functional Analysis 5 Mathematical Notes 5 Studia Mathematica 4 Nonlinearity 4 Bulletin de la Société Mathématique de France 4 Annals of Mathematics. 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Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Discrete Analysis 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Discrete & Computational Geometry 1 Linear Algebra and its Applications 1 Mémoires de la Société Mathématique de France. 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