Michael Björklund

Professor (Mathematics), Chalmers, Gothenburg.

Contact

Office H4017
Tel.nr: +46 (0)31-772 3554

Chalmers University
Mathematical Sciences
Chalmers Tvärgata 3
SE-412 96 Gothenburg
Sweden

Email: micbjo (you know what) chalmers.se

Research interests

Ergodic theory, arithmetic combinatorics (mostly approximate groups), geometry and dynamics on homogeneous spaces.

Publications

36. Spectral theory of approximate lattices in nilpotent groups (with Tobias Hartnick). Math. Annalen (2021).

35. Effective multiple equidistribution of translated measures. (with Alexander Gorodnik). IMRN (2021).

34. Aperiodic order and spherical diffraction III: The shadow transform and the diffraction formula. Joint with T. Hartnick and F. Pogorzelski. JFA (2021).

33. Aperiodic order and spherical diffraction II: Translation bounded measures on homogeneous spaces. (with T. Hartnick and F. Pogorzelski). Math. Zeitschrift (2021).

32. Patterns in sets of positive density in trees and affine buildings. (with A. Fish and J. Parkinson). Groups, Geometry and Dynamics (2021).

31. Sets of transfer times with small densities. (with A. Fish and I. Shkredov). Journal de l'Ecole polytechnique (2021).

30. Ergodicity and type of non-singular Bernoulli actions (with Zemer Kosloff and Stefaan Vaes). Inventiones (2020).

29. Analytic properties of approximate lattices (with T. Hartnick). Annales Inst. Fourier (2019).

28. Borel density for approximate lattices. (with Tobias Hartnick and Thierry Stulemeijer). Forum of Math, Sigma (2019).

27. Central limit theorem for diophantine approximants (with Alexander Gorodnik). Math. Annalen (2019).

26. Approximate invariance for ergodic actions of amenable groups (with A. Fish). Discrete analysis, 2019.

25. Central Limit Theorems for group actions which are exponentially mixing of all orders (with A. Gorodnik). Journal d'Analyse Mathematique (2018).

24. Bohr sets in triple products of large sets in amenable groups (with J. Griesmer). Journal of Fourier Analysis and Applications (2018).

23. Approximate lattices (with T. Hartnick). Duke (2018).

22. Quantitative multiple mixing (with M. Einsiedler and A. Gorodnik). JEMS (2017).

21. Aperiodic order and spherical diffraction, Part I: Auto-correlation of model sets (with T. Hartnick and F. Pogorzelski). PLMS (2017)

20. Central Limit Theorems in the Geometry of Numbers (with A. Gorodnik). ERA-AMS (2017)

19. Twisted patterns in large subsets of Z^N (with K. Bulinski). Commentarii  (2017).

18. Product set phenomena for measured groups. ETDS (2017)

17. Small product sets in compact groups. Fundamenta 2016).

16. Random walks on countable groups. Israel Journal of Math (2016).

15. Characteristic Polynomial Patterns in differnce sets of matrices (with A. Fish). BLMS (2016).

14. Ergodic Theorems for coset spaces (with A. Fish). Journal d'Analyse Mathematique (2015).

13. Quasi-state rigidity for finite-dimensional Lie algebras (with T. Hartnick). Israel Journal of Mathematics (2015).

12. Plünnecke inequalities for countable abelian groups (with A. Fish) Crelle (2015).

11. Product set phenomena for countable groups (with A. Fish). Advances in Math (2015).

10. Biharmonic functions on groups and limit theorems for quasimorphisms along random walks (with T. Hartnick) Geom. Topol. 15 (2011), no. 1, 123-143.

9. The Asymptotic Shape Theorem for Generalized First Passage Percolation. Annals of Probability. 38 (2010), no. 2, 632-660.

8. Ergodic Theorems for Random Clusters. Stochastic Process. Appl. 120 (2010), no. 3, 296-305.

7. Central Limit Theorems for Gromov Hyperbolic Groups. J. Theoret. Probab. 23 (2010), no. 3, 871-887.

6. Equidistribution of dilations of polynomial curves in nilmanifolds (with A. Fish). PAMS 137 (2009), 2111-2123.

5. Continuous Measures on Homogeneous Spaces (with A. Fish). Ann. Inst. Fourier (Grenoble) 59 (2009), no. 6, 2169-2174.

4. Almost Sure Absolute Continuity of Subordinated Bernoulli Convolutions (with D. Schnellmann). Ann. Inst. Henri Poincaré Probab. Stat. 46 (2010), no. 3, 888-893.

3. Almost Sure Equidistribution in Expansive Families (with D. Schnellmann). Indag. Math. (N.S.) 20 (2009), no. 2, 167-177.

2. Entropy range problems and actions of locally normal groups (with R. Miles). Discrete Contin. Dyn. Syst. 25 (2009), no. 3, 981-989.

1. The g-theorem matrices are totally nonnegative (with A. Engström). Journal of Combinatorial Theory, Series A, Volume 116, Issue 3, April 2009, Pages 730-732.

Submitted preprints

Intersection spaces and multiple transverse recurrence (with Tobias Hartnick and Yakov Karasik)

Counting in generic lattices and higher rank actions (with Alexander Gorodnik).

Random walks on dense subgroups of locally compact groups (with Yair Hartman and Hanna Oppelmayer)

Kudo-continuity of entropy functionals (with Yair Hartman and Hanna Oppelmayer).