Michael Björklund

Professor (Mathematics), Chalmers, Gothenburg.


Office H4017

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

Email: micbjo (you know what) chalmers.se

Research interests

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


1. Hyperuniformity and nonhyperuniformity of quasicrystals (with Tobias Hartnick). 

2. A uniform metrical theorem in multiplicative Diophantine approximation (with R. Fregoli and A. Gorodnik).

3. Intersections spaces and multiple transverse recurrence (with T. Hartnick and Y. Karasik).

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


39. Central limit theorems for generic lattice point counting (with A. Gorodnik). Accepted in Selecta (2022).

38. Poisson approximation and Weibull asymptotics in the geometry of numbers (with Alexander Gorodnik). Accepted in Transactions AMS (2022).

37. Kudo-continuity of conditional entropies (with Yair Hartman and Hanna Oppelmayer). To appear in Ann. Inst. Henri Poincaré Probab. Stat. (2022).

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). International Mathematical Research Notices (IMRN) (2021).

34. Aperiodic order and spherical diffraction III: The shadow transform and the diffraction formula. Joint with T. Hartnick and F. Pogorzelski. Journal of Functional Analysis (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 Mathematical Journal (2018).

22. Quantitative multiple mixing (with M. Einsiedler and A. Gorodnik). Journal of the European Mathematical Society (2017).

21. Aperiodic order and spherical diffraction, Part I: Auto-correlation of model sets (with T. Hartnick and F. Pogorzelski). Proceedings of the London Mathematical Society (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). Bulletin of the London Mathematical Society (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) Journal für die reine und angewandte Mathematik (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).