Publications

1.  Multifractal analysis of multiple ergodic averages. Comptes Rendus Mathématique, Volume 349, numéro  17-18 (2011), 961-964. (with A.H. Fan and J. Schmeling).  

2.  The multifractal spectra of V -statistics.  in Further Developments in Fractals and Related Fields, Eds. J. Barral and S. Seuret, Publiser Birkhüser, 2013, pp 135-151 . (with A.H. Fan and J. Schmeling).

3.  Multifractal analysis of some multiple ergodic averages.  Adv. Math. 295 (2016), 271–333.  (with A.H. Fan and J. Schmeling).

4.  Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems. Mathematische Zeitschrif, accepted.  (with A.H. Fan and L.M. Liao).

5.  Hausdorff spectrum of the level sets of $\varphi (T^k x, T^{2k} x, T^{3k} x)$.  Preprint 2012, 38 pages.

6.  Multifractal analysis of oriented walks in $\R^d$.  Preprint, 2013.

7.  Random cut-out sets with spatially inhomogeneous intensities.  Israel J. Math. 220 (2017), Issue 2, 899–925. (with T. Ojala and V. Suomala).

8.  Random affine code tree fractals: Hausdorff and affinity dimensions and pressure. Math. Proc. Camb. Phil. Soc. 162 (2017), Issue 2, 367-382.

 (with E. Järvenpää, M. Järvenpää and W. Wu).

9.  Accessible values of Assouad and the lower dimensions of subsets. Preprint, 13 pages. (with C.H. Chen and W. Wu).

10. A proof of Furstenberg’s conjecture on the intersections of ×p and ×q-invariant sets.  Annals of Mathematics, (2) 189 no. 3 (2019), 707–751.

11. Covering the Sierpiński carpet with tubes.  Israel J. Math. accepted. (with A. Pyörälä, P. Shmerkin and V. Suomala)

12. On dimensions of visible parts of self-similar sets with finite rotation groups. Proceedings of the AMS, accepted. (with E. Järvenpää, M. Järvenpää and V. Suomala)

13. Improved versions of some Furstenberg type slicing Theorems for self-affine carpets. IMRN, accepted.  (with A. Algom)

14. A topological version of Furstenberg-Kesten theorem (with A.H. Fan) 

15. Large slices through self affine carpets (with A. Algom) 

16. Scaling limits of self-conformal measures (with B. Bárány, A. Käenmäki, A. Pyörälä) 

17. Van der Corput and metric theorems for geometric progressions for self-similar measures (with A. Algom, Y.Y. Chang, Y.L. Wu)