• A. Kanigowski, W. Kryszewski, Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators, Cent. Eur. J. Math., 10(6) (2012), 2240- 2263.

• A. Kanigowski, Ratner’s property for special flows over irrational rotations under functions of bounded variation, Ergodic Theory Dynam. Systems, 35 (2015), 915-934.

• A. Kanigowski, Ratner’s property for special flows over irrational rotations under functions of bounded variation II, Coll. Math., 136 (2014), 125-147.

• B. Fayad, A. Kanigowski, Rigidity times for weakly mixing dynamical system which are not rigidity times for any irrational rotation, Ergodic Theory Dynam. Systems, 35 (2015), 2529-2534.

• A. Kanigowski, J. Kułaga-Przymus, Ratner’s property and mild mixing for smooth flows on surfaces, Ergodic Theory Dynam. Systems, 36 (2016) 1-25.

B. Fayad, A. Kanigowski, Multiple mixing for a class of conservative surface flows, Invent. Math., 203 (2) (2016), 555-614.

• A. Kanigowski, M. Lemanczyk, Flows with Ratner’s property have discrete essential centralizer, Studia Math., 237 (2017), 185-194.

• A. Kanigowski, J. Kułaga-Przymus, C. Ulcigrai, Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces, J. Eur. Math. Soc., 21 (2019) 3797–3855.

• A. Kanigowski, F. Rodriguez-Hertz, K. Vinhage, Smooth K non-Bernoulli automorphisms in dimension 4, J. Mod. Dyn., 13 (2018), 221-250.

• A. Kanigowski, Slow entropy for smooth flows on surfaces, Israel J. Math., 226 (2018), 535-577.

• A. Kanigowski, A. Solomko, On rank of von Neumann special flows, Ergodic Theory Dynam. Systems, 38 (6) (2018), 2245-2256.

• A. Kanigowski, A. Solomko, Isomorphism problem for von Neumann flows, Israel J. Math., 226 (2) (2018), 685-702.

• A. Kanigowski, D. Wei, Product of two Kochergin flows with different exponents is not standard, Studia Math., 244 (2019), 265-283.

• A. Kanigowski, K. Vinhage, D. Wei, Slow entropy of some parabolic flows, Comm. Math. Phys., 370 no. 2 (2019), 449-474.

• G. Forni, A. Kanigowski, Time changes of Heisenberg nilflows, Asterisque, 416 (2020), 253-299.

• G. Forni, A. Kanigowski, Multiple mixing and disjointness for time-changes of bounded type Heisenberg nilflows, J. Ec. Polytech. Math., 7 (2020), 63-91.

• C. Dong, A. Kanigowski, Rigidity of a class of smooth singular flows on T2, J. Mod. Dyn., 16 (2020), 37-57.

• A. Kanigowski, M. Lemanczyk, C. Ulcigrai, On disjointness properties of some parabolic flows, Invent. Math. 221 (2020) 1-111.

• A. Kanigowski, T. de la Rue, Product of two staircase rank one transformations that is not loosely Bernoulli, J. d’Analyse Math. vol. 143,(2021), 535–553.

• A. Kanigowski, D. Ravotti, Polynomial 3-mixing for smooth time-changes of horocycle flows, Discrete and Continuous Dyn. Sys., 40(9), 5347-5371, 2020.

• A. Kanigowski, M. Lemanczyk, Spectral theory of dynamical systems, accepted in Encyclopedia of Complexity and System Science (2020).

• A. Kanigowski, K. Vinhage, D. Wei, Kakutani equivalence of unipotent flows, Duke Math. J.170(2021), no. 7, 1517-1583.

• C. Dong, A. Kanigowski, D. Wei, Rigidity of joinings for some measure preserving systems, Ergodic Th. Dyn. Sys. 42 (2022), no. 2, 665–690.

• P. Berk, A. Kanigowski, Spectral disjointness of rescalings of some surface flows, J. London Math. Soc., 103 (3), 901–942, 2020.

• J. Chaika, K. Fr¸aczek, 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.

• B. Fayad, G. Forni, A. Kanigowski, Countable Lebesgue spectrum for area preserving flows on the two torus,, J. Amer. Math. Soc. 34 (2021), 747-813.

• A. Kanigowski, M. Lemanczyk, M. Radziwiłł,Rigidity in dynamics and Moebius disjointness, Fund. Math. 225 (2021) 309–326.

• K. Fr¸aczek, A. Kanigowski, M. Lemanczyk, Prime number theorem for Toeplitz systems, Ergodic Th. Dyn. Sys. 42 (2022), 1446-1473.

• C. Dong, A. Kanigowski, Bernoulli property for certain skew products over hyperbolic systems, accepted in Trans. Am. Math. Soc.

• D. Dolgopyat, C. Dong, A. Kanigowski, P. Nandori, Mixing properties of generalized T; T􀀀1 transformations, Israel J. Math. 247 (2022) 21-73.

• A. Kanigowski, A. Katok, D. Wei, Survey on entropy-type invariants of subexponential growth in dynamical systems, accepted ETDS, arXiv:2004.04655.

• A. Kanigowski, P. Kunde, K. Vinhage, D. Wei, Slow entropy for higher rank abelian unipotent actions, J. Mod. Dyn. (18) 2022, 575–607.

• D. Dolgopyat, C. Dong, A. Kanigowski, P. Nandori, Flexibility of statistical properties for smooth systems satisfying the central limit theorem, Invent. Math. 230 (2022) 31-120.

• A. Kanigowski, P. Kunde, K. Vinhage, D. Wei, Slow entropy of higher rank abelian unipotent actions, J. Mod. Dyn. (18) 2022, 575–607.

• A. Kanigowski, J. Kulaga-Przymus, M. Lemanczyk, T. de la Rue, On arithmetic functions orthogonal to deterministic sequences, accepted in Adv. in Math.

• A. Kanigowski, M. Lemanczyk, M. Radziwiłł, Prime number theorem for analytic skew-products, accepted in Ann. of Math.

• D. Dolgopyat, A. Kanigowski, F. Rodriguez-Hertz, Exponential mixing implies Bernoulli, accepted in Ann. of Math..