Dynamics and Ergodic Theory

Publications since 2020

Published  | Accepted | Submitted 

Published:
2020

• M. Baake, A. Bustos, C. Huck, M. Lemańczyk, A. Nickel, Number-theoretic positive entropy shifts with small centraliser and large normalizer, published online in Ergodic Theory Dynam. System. Q1.
• V. Bergelson, J. Kułaga-Przymus, M. Lemańczyk, F. Richter, A structure theorem for level sets of multiplicative functions and applications, International Math. Research Notices 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, 76 (2020). 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 vol. 1 (2020), 1-111. Q1.
• T. Klimsiak, M. Rzymowski, L. Słomiński, Reflected BSDEs with two optional barriers, Bull. Sci. Math. 158 (2020)
• 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

• Ch. Batty, A. Gomilko, Yu. Tomilov, A Besov algebra calculus for generators of operator semigroups and related norm-estimates, Math. Ann. 379 (2021), 23–93.
• 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, 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, published online in Topol. Methods Nonlinear Anal., DOI: 10.12775/TMNA.2020.038
• 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, 2021, 41(8): 3709-3724. doi: 10.3934/dcds.2021013. Q1.
• 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.
• K. Frączek, A. Kanigowski, M. Lemańczyk, Prime number theorem for regular Toeplitz subshifts, published online in Ergodic Theory and Dynamical Systems, DOI: https://doi.org/10.1017/etds.2021.3 Q1.
• A. Gołȩbiewska, S. Rybicki, P. Stefaniak, Connected sets of solutions of symmetric elliptic systems, Nonlinear Anal. 202 (2021), 112124, 14 pp. Q1.
• 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.
• 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.
• J. Kułaga-Przymus, M.D. Lemańczyk, Hereditary subshifts whose measure of maximal entropy has no Gibbs property, published online in Colloquium Mathematicum, DOI: 10.4064/cm8223-11-2020

Accepted:

• A. Kanigowski, M. Lemańczyk, Spectral theory of dynamical systems}, to appear in Encyclopedia for Complexity and System Science.
• J. Kułaga-Przymus, M. Lemańczyk, Sarnak’s conjecture from the ergodic theory point of view, to appear in Encyclopedia for Complexity and System Science.

Submitted:

• B. Bieganowski: Solutions to a nonlinear Maxwell equation with two competing nonlinearities in ℝ3, arXiv:2010.02000
• A. Danilenko, M. Lemańczyk, Ergodic cocycles of IDPFT systems and nonsingular Gaussian actions, arXiv:2006.08567v2
• K. Frączek, V. Rom-Kedar, Non-uniform ergodic properties of Hamiltonian flows with impacts, arXiv:2012.07342.
• A. Gołębiewska, P. Stefaniak, Structure of sets of solutions of parametrised semi-linear elliptic systems on spheres, arXiv:2007.04024
• A. Gomilko, M. Lemańczyk, T. de la Rue, On Furstenberg systems of aperiodic multiplicative functions of Matomäki, Radziwill and Tao, arXiv:2006.09958
• A. Kanigowski, M. Lemańczyk, M. Radziwiłł, Prime number theorem for analytic skew products, arXiv:2004.01125.
• T. Klimsiak, M. Rzymowski, Reflected BSDEs with optional barriers on filtered spaces, arXiv:2001.06736
• T. Klimsiak, A. Rozkosz, Long-time asymptotic behaviour of the value function in nonlinear stopping problems, arXiv:2004.08197
• J. Konieczny, M. Lemańczyk, C. Muellner, Multiplicative automatic sequences, arXiv:2004.04920.
• J. Kułaga-Przymus, M.D. Lemańczyk, Entropy rate of product of independent processes, arXiv:2004.07648.