Dynamics and Ergodic Theory

Publications since 2020

Published | Accepted | Submitted

Published:
2020

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, Bounded functional calculi for unbounded operators. Choi, Yemon (ed.) et al., Operators, semigroups, algebras and function theory. Volume from IWOTA, Lancaster, UK, virtual, August 16–20, 2021. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 292, 27-60 (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, T. Cieślak, J. Siemianowski, Magnetostatic levitation and two related linear PDEs in unbounded domains, Rep. Math. Phys. 92, 135-144 (2023). Q3
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, 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.
K. Gelfert, G. Salcedo, Contracting on average iterated function systems by metric change, Nonlinearity 36 (2023), 6879-6924. Q2
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.
M. Lemańczyk, Furstenberg disjointness, Ratner properties, and Sarnak’s conjecture. Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3508-3528 (2023).

2024

A. Artigue, B. Carvalho, V. Cordeiro, J. Vieitez, Continuum-wise hyperbolicity, Journal of Differential Equations 378 (2024), 512–538. Q1
S. Barbieri, R. Bissacot, G. Dalle Vedove, Ph. Thieullen, Zero-temperature chaos in bidimensional models with finite-range potentials, Advances in Mathematics 457 (2024), 109906. Q1
Ch. Batty, A. Gomilko, D. Kobos, Y. Tomilov, Analytic Besov functional calculus for several commuting operators, Journal of Spectral Theory 14 (2024), 513-556. Q1
P. Berk, Backward Rauzy-Veech algorithm and horizontal saddle connections, Annali della Scuola Normale Superiore – Classa di Scienze, Vol. XXV (2024), 1383-1398. Q1
P. Berk, F. Trujillo, Rigidity for piecewise smooth circle homeomorphisms and certain GIETs, Advances in Mathematics 441 (2024), 109560. Q1
J. Bezerra, A. Cai, P. Duarte, C. Freijo, S. Klein, A dynamical Thouless formula, Advances in Mathematics 438 (2024), 109446. Q1
J. Bezerra, M. Poletti, An invitation to SL(2,R) cocycles over random dynamics, CIM Ser. Math. Sci. Springer, Cham, 2023, 19–75.
A. Dymek, S. Kasjan, G. Keller, Automorphisms of B-free and other Toeplitz shifts, Ergodic Theory and Dynamical Systems 44 (2024), 1058-1101. Q2
A. Dymek, J. Kułaga-Przymus, D Sell, Invariant measures for B-free systems revisited. Ergodic Theory and Dynamical Systems, 44(10) (2024), 2901-2932. Q2
K. Frączek, C. Ulcigrai, On the asymptotic growth of Birkhoff integrals for locally Hamiltonian flows and ergodicity of their extensions, Commentarii Mathematici Helvetici 99 (2024), 231-354. Q1
K. Frączek, M. Kim, New phenomena in deviation of Birkhoff integrals for locally Hamiltonian flows, Journal für die reine und angewandte Mathematik 807 (2024), 81-149. Q1
K. Frączek, M. Kim, Solving the cohomological equation for locally hamiltonian flows, part I – local obstructions, Advances in Mathematics 446 (2024), 109668. Q1
K. Gelfert, G. Salcedo, Synchronization rates and limit laws for random dynamical systems, Mathematische Zeitschrift 308, 10 (2024). Q1
A. Gomilko, Y. Tomilov, Rational approximation of operator semigroups via the B-calculus, Journal of Functional Analysis 287 (2024). 110426. Q1
A. Kanigowski, M. Lemańczyk, M. Radziwiłł, Prime number theorem for analytic skew products, Annals of Mathematics (2) 199 (2024), 591-705. Q1
A. Kanigowski, M. Lemańczyk, F. Richter, J. Teräväinen, On the local Fourier uniformity problem for small sets, International Mathematics Research Notices IMRN 15 (2024), 11488-11512. Q2
M. Lemańczyk, On some spectral problems in ergodic theory. A vision for dynamics in the 21st century—the legacy of Anatole Katok, 318–336, Cambridge Univ. Press, Cambridge, 2024.
V. Müller, R. Schnaubelt, and Y. Tomilov, On growth and instability for semilinear evolution equations: an abstract approach, Mathematische Annalen, 389 (2024), 3885-3933. Q1
V. Müller, Y. Tomilov, Matrix representations of arbitrary bounded operators on Hilbert spaces, Journal für die reine und angewandte Mathematik (Crelle’s Journal) 808 (2024), 111-141. Q1
T. Klimsiak, M. Rzymowski, A priori estimates for multidimensional BSDEs with integrable data, Electronic Communications in Probability 29 (2024), Paper No. 34. Q4

Accepted:

P. Berk, F. Trujillo, On the ergodicity of infinite antisymmetric extensions of symmetric IETs, accepted in Journal of European Mathematical Society, arXiv:2304.01868.
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.
A. Gomilko, Y. Tomilov, To the theory of generalized Stieltjes transforms, accepted in Journal d’Analyse Mathématique, arXiv:2210.03474.
T. Klimsiak, Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity, accepted in Advanced Nonlinear Studies.
T. Klimsiak, A. Rozkosz, Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection, accepted in Calculus of Variations and Partial Differential Equations.

Submitted:

F. Argentieri, P. Berk, F. Trujillo, Ergodicity of skew-products over typical IETs, arXiv:2405.07645.
Ch. Batty, A. Gomilko, Y. Tomilov, Rational approximation of holomorphic semigroups revisited, arXiv:2403.15894.
P. Berk, M. Górska, Th. de la Rue, Joining properties of automorphisms disjoint with all ergodic systems, arXiv:2312.13153.
P. Berk, F. Trujillo, H. Wu, Ergodic properties of infinite extension of symmetric interval exchange transformations, arxiv:2409.12168.
J. Bezerra, C.G. Moreira, S. Vieira, Lagrange and Markov spectra for typical smooth systems. arXiv:2311.05763.
B. Bieganowski, T. Cieślak, J. Siemianowski, Time-zero limits of Kaden’s spirals and 2D Euler, arXiv:2305.15356.
B. Bieganowski, A. Konysz, J. Mederski: Semiclassical states for the curl-curl problem, arXiv:2312:03658
N. Frantzikinakis, M. Lemańczyk, Th. de la Rue, Furstenberg systems of pretentious and MRT multiplicative functions, arXiv:2304.03121.
K. Frączek, On resonant energy sets for Hamiltonian systems with reflections, arXiv:2405.14464.
K. Frączek, M. Kim, Solving the cohomological equation for locally hamiltonian flows, part II – global obstructions, arXiv:2306.02340.
A. Gołębiewska, S. Rybicki, Generalization of Lyapunov Center Theorem for Hamiltonian systems via normal forms theory, arXiv:2406.14053.
M. Górska, M. Lemańczyk, T. de la Rue, On orthogonality to uniquely ergodic systems, arXiv:2404.07907.
T. Klimsiak, A. Rozkosz, Poisson equation with measure data, reconstruction formula and Doob classes of processes. arXiv:2403.04543.
T. Klimsiak, T. Komorowski, L. Marino, Homogenization of stable-like operators with random, ergodic coefficients. arXiv:2402.04752.
T. Klimsiak, M. Rzymowski, Mokobodzki’s intervals: an approach to Dynkin games when value process is not a semimartingale. arXiv:2407.15601.
S. Król, J. Sarnowski, The invariant subspaces of periodic Fourier multipliers with application to abstract evolution equations, arxiv:2301.12451.
J. Kułaga-Przymus, M.D. Lemańczyk, M. Rams, Basic thermodynamical formalism for sandwich subshifts, arxiv:2402.12579
M. Lemańczyk, M.D. Lemańczyk, T. de la Rue, A note on Sarnak processes, arXiv:2403.20054.
D. Sell, F. Sieron, Almost automorphic subshifts with finiteness conditions for the boundary of the separating cover, arXiv:2409.06005.