Dynamics and Ergodic Theory
Publications since 2020
Published | Accepted | Submitted
- V. Bergelson, J. Kułaga-Przymus, M. Lemańczyk, F. Richter, A structure theorem for level sets of multiplicative functions and applications, Int. Math. Res. Not. IMRN(2020), no. 5, 1300–1345. Q1.
- B. Bieganowski, S. Secchi, Non-local to local transition for ground states of fractional Schrödinger equations on ℝN, J. Fixed Point Theory Appl. 22 (2020), no. 3, Paper No. 76, 15 pp. Q1
- P. Berk, K. Frączek, T. de la Rue, On typicality of translation flows which are disjoint with their inverse, J. Inst. Math. Jussieu 19 (2020), 1677-1737. Q1.
- A. Gołębiewska, P. Stefaniak, Global bifurcation from an orbit of solutions to non-cooperative semi-linear Neumann problem, J. Differential Equations 268(11) (2020), 6702-6728. Q1.
- A. Gomilko, M. Lemańczyk, T. de la Rue, Möbius orthogonality in density for zero entropy dynamical systems, Pure Appl. Funct. Anal. 5 (2020), 1357–1376.
- A. Gomilko, Ł. Rzepnicki, On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with a singular potential, J. Spectr. Theory 10 (2020), 747–786.
- A. Kanigowski, M. Lemańczyk, C. Ulcigrai, On disjointness of some parabolic flows, Inventiones Math. 221 (2020), 1-111. Q1.
- T. Klimsiak, M. Rzymowski, L. Słomiński, Reflected backward stochastic differential equations with two optional barriers, Bull. Sci. Math. 158 (2020), 102820, 49 pp.
- T. Klimsiak, On uniqueness and structure of renormalized solutions to integro-differential equations with general measure data, NoDEA Nonlinear Differential Equations Appl. 27 (2020), Paper No. 47, 24 pp.
- M. Lemańczyk, C. Muellner, Automatic sequences are orthogonal to aperiodic multiplicative functions, Discrete Continuous Dynam. Systems 40, no 12 (2020), 6877-6818. Q1.
2021
- A. Artigue, W. Cordeiro, M. José Pacífico, N-expansive flows, Topology and its Applications 305 (2022), 107869.
- M. Baake, A. Bustos, C. Huck, M. Lemańczyk, A. Nickel, Number-theoretic positive entropy shifts with small centraliser and large normalizer, Ergodic Theory Dynam. Systems 41 (2021), 3201-3226.
- Ch. Batty, A. Gomilko, Y. Tomilov, A Besov algebra calculus for generators of operator semigroups and related norm-estimates, Math. Ann. 379 (2021), 23–93. Q1.
- Ch. Batty, A. Gomilko, Y. Tomilov, The theory of Besov functional calculus: Developments and applications to semigroups. J. Funct. Anal. 281 (2021), 109089. Q1.
- P. Berk, A. Kanigowski, Spectral disjointness of rescalings of some surface flows. J. Lond. Math. Soc. (2) 103 (2021), 901–942.
- B. Bieganowski, Solutions to a nonlinear Maxwell equation with two competing onlinearities in ℝ3, Bulletin Polish Acad. Sci. Math. 69 (2021), 37-60.
- B. Bieganowski, J. Mederski, Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth. J. Funct. Anal. 280 (2021), no. 11, 108989. Q1.
- B. Bieganowski, S. Secchi, Non-local to local transition for ground states of fractional Schrödinger equations on bounded domains, Topol. Methods Nonlinear Anal.57 (2021), 413–425.
- J. Chaika, K. Frączek, A. Kanigowski, C. Ulcigrai, Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders, Commun. Math. Phys. 381 (2021), 1369-1407. Q1.
- A. Dymek, Proximality of multidimensional ℬ-free systems, Discrete Continuous Dynam. Systems 41(8) (2021), 3709-3724.
- K. Frączek, Recurrence for smooth curves in the moduli space and application to the billiard flow on nibbled ellipses, Anal. PDE 14 (2021), 793–821. Q1.
- A. Gołȩbiewska, S. Rybicki, P. Stefaniak, Connected sets of solutions of symmetric elliptic systems, Nonlinear Anal. 202 (2021), 112124, 14 pp. Q1.
- A. Gołębiewska, P. Stefaniak, Structure of sets of solutions of parametrised semi-linear elliptic systems on spheres, Nonlinear Analysis: theory, methods and applications 212 (2021), 1-20, Q1.
- A. Gomilko, M. Lemańczyk, T. de la Rue, On Furstenberg systems of aperiodic multiplicative functions of Matomäki, Radziwill and Tao, J. Mod. Dyn. 17 (2021), 529–555.
- A. Gomilko, Y. Tomilov, On Erdős-de Bruijn-Kingman’s problem on regularity of reciprocals for exponential series. Rev. Mat. Iberoam. 37 (2021), 1045–1081.
- A. Kanigowski, M. Lemańczyk, M. Radziwiłł, Rigidity in dynamics and Moebius disjointness, Fund. Math. 255 (2021), no. 3, 309–336.
- S. Kasjan, A. Skowroński, On tame strongly simply connected algebras. in: Advances in representation theory of algebras, Providence, RI, American Mathematical Society, Contemporary Mathematics 761 (2021), 117-129.
- T. Klimsiak, Non-semimartingale solutions of reflected BSDEs and applications to Dynkin games. Stochastic Process, Appl. 134 (2021), 208–239.
- T. Klimsiak, Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data, Studia Math. 258 (2021), 121–156.
- T. Klimsiak, T. Komorowski, On the maximum principles and the quantitative version of the Hopf lemma for uniformly elliptic integro-differential operators, Journal of Differential Equations 298 (2021), 346-386. Q1.
- T. Klimsiak, M. Rzymowski, Reflected BSDEs with two optional barriers and monotone coefficient on general filtered space, Electron. J. Probab. 26 (2021), 1-24.
- J. Kułaga-Przymus, M.D. Lemańczyk, Hereditary subshifts whose measure of maximal entropy has no Gibbs property, Colloquium Mathematicum 166 (2021), 107-127.
2022
- F. Bernini, B. Bieganowski, S. Secchi: Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree-Fock theory, Nonlinear Analysis, 217 (2022), 112738. Q1
- F. Bernini, B. Bieganowski: Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities, Calc. Var. Partial Differential Equations 61(2022), no.5, Paper No. 182, 23 pp. Q1
- B. Bieganowski, On-line interval graphs coloring — modification of the First-Fit algorithm and its performance ratio, Discrete Math. Algorithms Appl. 14 (2022), no. 8, Paper No. 2250042, 7 pp.
- M. Bieganowska, B. Bieganowski: [in polish] Bezpieczeństwo kont w Internecie, in: A.B. Kwiatkowska, M.M. Sysło [red.]: Informatyka w edukacji. Uczniowie i nauczyciele w szkole przyszłości, Toruń 2022, ISBN: 978-83-8180-645-9, p. 347-354
- B. Bieganowski, J. Mederski: Bound states for the Schrödinger equation with mixed-type nonlinearites, Indiana Univ. Math. J. 71 (2022), 65–92.
- K. Czudek, Some counterexamples to the central limit theorem for random rotations. J. Stat. Phys. 189 (2022), no. 1, Paper No. 11
- A. Danilenko, M. Lemańczyk, Ergodic cocycles of IDPFT systems and non-singular Gaussian actions. Ergodic Theory Dynam. Systems 42 (2022), 1624–1654.
- D. Dona, S. Zuniga Alterman, On the Atkinson formula for the ζ function. J. Math. Anal. Appl. 516 (2022), no. 2, Paper No. 126478. Q1
- K. Frączek, A. Kanigowski, M. Lemańczyk, Prime number theorem for regular Toeplitz subshifts, Ergod. Th. & Dynam. Sys. 42 (2022), 1446-1473.
- A. Gołębiewska, M. Kowalczyk, S. Rybicki, P. Stefaniak, Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria, Electronic Research Archive 30 (2022), 1691-1707. Q1
- A. Gołębiewska, E. Pérez-Chavela S. Rybicki, A.J. Ureña, Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces, Journal of Differential Equations 338 (2022), 441-473. Q1
- R. Grigorchuk, D. Lenz,T. Nagnibeda, D. Sell, Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs. Adv. Math. 407 (2022), Paper No. 108550. Q1
- S. Kasjan, J. Kosakowska, The existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators. J. Pure Appl. Algebra 226 (2022), no. 5, Paper No. 106921.
- G. Keller, M. Lemańczyk, C. Richard, D. Sell, On the Garden of Eden theorem for B-free systems, Israel J. Math. 251 (2022), no. 2, 567–594.
- M. Kim, Effective equidistribution for generalized higher-step nilflows, Ergodic Theory Dynam. Systems 42 (2022), no. 12, 3656–3715.
- M. Kim, Limit theorems for higher rank actions on Heisenberg nilmanifolds. Discrete Contin. Dyn. Syst. 42 (2022), 4347–4383. Q1
- T. Klimsiak, Asymptotics for logistic-type equations with Dirichlet fractional Laplace operator, Advances in Differential Equations 28 (2023), 169–216.
- T. Klimsiak, A. Rozkosz, Long-time asymptotic behavior of the value function in nonlinear stopping problems. ALEA, Lat. Am. J. Probab. Math. Stat. 19 (2022) 1133–1160.
- T. Klimsiak, Schrodinger equations with smooth measure potential and general measure data. Nonlinear Anal. 218 (2022) Paper No. 112774. Q1
- J. Konieczny, M. Lemańczyk, C. Müllner, Multiplicative automatic sequences. Math. Z. 300 (2022), 1297–1318.
- M. Lemańczyk, Ergodicity, mixing, Ratner’s properties and disjointness for classical flows: on the research of Corinna Ulcigrai. J. Mod. Dyn. 18 (2022), 103–130.
2023
- Ch. Batty, A. Gomilko, Y. Tomilov, Functional calculi for sectorial operators and related function theory, J. Inst. Math. Jussieu 22 (2023), no. 3, 1383–1463. Q2
- J. Bezerra, P. Duarte, Upper bound on the regularity of the Lyapunov exponent for random products of matrices, Communications in Mathematical Physics 403 (2023), nr 2, 829-875. Q1
- J. Bezerra, C.G. Moreira, Elementary proof for the existence of periodic points with real and simple spectrum for diffeomorphisms in any dimension, Discrete Contin. Dyn. Syst. 43 (2023), no. 6, 2440–2456. Q1
- J. Bezerra, A. Sánchez, E.H. Tall, Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles, Nonlinearity 36 (2023), no. 6, 3467–3482. Q2
- B. Bieganowski, A. Konysz, Elliptic problems with mixed nonlinearities and potentials singular at the origin and at the boundary of the domain, J. Fixed Point Theory Appl. 25, 83 (2023). Q1
- B. Bieganowski, Metoda haszowania w podstawie programowej. Hashcat jako narzędzie łamania haszy haseł – zastosowania na lekcjach informatyki, in: A.B. Kwiatkowska, M.M. Sysło [red.]: Informatyka w edukacji. Edukacja informatyczna – wyzwania współczesnego świata, Toruń 2023.
- R. Chill, L. Paunonen, D. Seifert, R. Stahn, Y. Tomilov, Non-uniform stability of damped contraction semigroups, Analysis and PDE 16 (2023), 1089-1132. Q1
- A. Dymek, S. Kasjan, G. Keller, Automorphisms of B-free and other Toeplitz shifts, published online in Ergodic Theory and Dynamical Systems (2023), 1–44, DOI: https://doi.org/10.1017/etds.2023.43. Q2
- A. Dymek, S. Kasjan, J. Kułaga-Przymus, Minimality of B-free systems in number fields. Discrete and Continuous Dynamical Systems 43(9) (2023), 3512–3548. Q1
- K. Frączek, V. Rom-Kedar, Non-uniform ergodic properties of Hamiltonian flows with impacts, Ergod. Th. & Dynam. Sys. 43 (2023), 190-252. Q2
- K. Frączek, C. Ulcigrai, Ergodic and Spectral Theory of Area-Preserving Flows on Surfaces. In: Silva, C.E., Danilenko, A.I. (eds) Ergodic Theory. Encyclopedia of Complexity and Systems Science Series. Springer, New York, NY, 2023.
- A. Gołębiewska, J. Kluczenko, P. Stefaniak, Bifurcations form degenerate orbits of solutions of nonlinear elliptic systems, Journal of Fixed Point Theory and Applications 25, 36 (2023). Q1
- A. Kanigowski, J. Kułaga-Przymus, M. Lemańczyk, Th. de la Rue, On arithmetic functions orthogonal to deterministic sequences, Adv. Math. 428 (2023), Paper No. 109138. Q1
- A. Kanigowski, M. Lemańczyk, Spectral Theory of Dynamical Systems, Encycl. Complex. Syst. Sci. Springer, New York, 2023, 109–148.
- S. Kasjan, M. Lemańczyk, S. Zuniga. Dynamics of B-free systems generated by Behrend sets. I, published online in Acta Arithmetica, DOI: 10.4064/aa220525-14-2. Q3
- T. Klimsiak, M. Rzymowski, Nonlinear BSDEs with two optional Doob’s class barriers satisfying weak Mokobodzki’s condition and extended Dynkin games, Appl. Math. Optim. 88:80 (2023). Q1
- T. Klimsiak, Uniqueness for an obstacle problem arising from logistic-type equations with fractional Laplacian, Potential Anal. 59 (2023), 897–916. Q2
- T. Klimsiak, M. Rzymowski, Nonlinear BSDEs in general filtered spaces with drivers depending on the martingale part of a solution. Stochastic Process. Appl. 161 (2023), 424–450. Q3
- T. Klimsiak, T. Komorowski, Hopf type lemmas for subsolutions of integro-differential equations, Bernoulli 29 (2023), 1435–1463. Q2
- T. Klimsiak, Asymptotics for logistic-type equations with Dirichlet fractional Laplace operator, Advances in Differential Equations 28 (2023), 169–216. Q1
- J. Kułaga-Przymus, M.D. Lemańczyk, Entropy rate of product of independent processes, Monatshefte fur Mathematik 200 (2023), 131-162. Q2
- J. Kułaga-Przymus, M. Lemańczyk, Sarnak’s Conjecture from the Ergodic Theory Point of View, Encycl. Complex. Syst. Sci. Springer, New York, 2023, 293–311.
- Ch. Batty, A. Gomilko, Yu. Tomilov, Bounded functional calculi for unbounded operators, accepted to Proc. IWOTA 2021, arXiv:2202.03143.
- B. Bieganowski, T. Cieślak, J. Siemianowski, Magnetostatic levitation and two related linear PDEs in unbounded domains, to appear in Rep. Math. Phys. (2023), arXiv:2202.01570.
- M. Drmota, M. Lemańczyk, C. Müllner, J. Rivat, Some recent development on the Sarnak conjecture, accepted to Lecture Notes in Math., Proceedings semestru Jeana Morleta, holder I. Tichy.
- K. Frączek, C. Ulcigrai, On the asymptotic growth of Birkhoff integrals for locally Hamiltonian flows and ergodicity of their extensions, accepted in Commentarii Mathematici Helvetici.
- K. Gelfert, G. Salcedo, Contracting on average iterated function systems by metric change, accepted in Nonlinearity.
- A. Gomilko, Y. Tomilov, To the theory of generalized Stieltjes transforms, accepted in Journal d’Analyse Mathématique.
- A. Kanigowski, M. Lemańczyk, M. Radziwiłł, Prime number theorem for analytic skew products, accepted for publication in Annals of Mathematics, March 2024 issue, arXiv:2004.01125.
- M. Lemańczyk, Furstenberg disjointness, Ratner properties and Sarnak’s conjecture, accepted to Proceedings of the ICM 2022.
- V. Müller, R. Schnaubelt, Y. Tomilov, On growth and instability for semilinear evolution equations: abstract approach, accepted in Mathematische Annalen, arXiv:2211.15121.
- P. Berk, Backward Rauzy-Veech algorithm and horizontal saddle connections, arXiv:2109.13691.
- P. Berk, F. Trujillo, Rigidity for piece-wise smooth circle maps and certain GIETs, arXiv:2210.14886M.
- P. Berk, F. Trujillo, Ergodicity of infinite extensions of symmetric IETs by the entered indicator of (0,1/2), arXiv:2304.01868.
- B. Bieganowski, T. Cieślak, J. Siemianowski, Time-zero limits of Kaden’s spirals and 2D Euler, arXiv:2305.15356.
- A. Dymek, J. Kułaga-Przymus, D. Sell, Invariant measures for B-free systems revisited. arXiv:2307.02134.
- N. Frantzikinakis, M. Lemańczyk, Th. de la Rue, Furstenberg systems of pretentious and MRT multiplicative functions, arXiv:2304.03121.
- K. Frączek, M. Kim, Solving the cohomological equation for locally hamiltonian flows, part II – global obstructions, preprint arXiv:2306.02340.
- K. Frączek, M. Kim, Solving the cohomological equation for locally hamiltonian flows, part I – local obstructions, preprint arXiv:2305.16884.
- K. Frączek, M. Kim, New phenomena in deviation of Birkhoff integrals for locally Hamiltonian flows, preprint arXiv:2112.13030.
- A. Gomilko, Yu. Tomilov, To the theory of generalized Stieltjes transforms, arXiv:2210.03474.
- A. Kanigowski, M. Lemańczyk, F. Richter, J. Teräväinen, On the local Fourier uniformity problem for small sets, arXiv:2310.05528.
- T. Klimsiak, A. Rozkosz, Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection, arXiv:2304.00393.
- T. Klimsiak, M. Rzymowski, A priori estimates for multidimensional BSDEs with integrable data, arXiv:2208.03590.
- T. Klimsiak, M. Rzymowski, Reflected BSDEs with optional barriers on filtered spaces, arXiv:2001.06736.
- V. Müller, Y. Tomilov, Matrix representations of arbitrary bounded operators on Hilbert spaces, arXiv:2206.14266.
- S. Król, J. Sarnowski, The invariant subspaces of periodic Fourier multipliers with application to abstract evolution equations, https://arxiv.org/abs/2301.12451.