## Michael Björklund
## Contact Office H4017 Email: micbjo (you know what) chalmers.se I am an associate professor (docent) at Chalmers University, Gothenburg. My research is mostly concerned with the various interactions between ergodic theory, random walks, number theory and arithmetic combinatorics. ## Research interestsErgodic theory, arithmetic combinatorics (mostly approximate groups), geometry and dynamics on homogeneous spaces. ## Teaching at Chalmers and elsewhere Arithmetic Combinatorics. Lecture
notes (essentially complete) ## Submitted preprintsIntersection spaces and multiple transverse recurrence. Joint with Tobias Hartnick and Yakov Karasik. Counting in generic lattices and higher rank actions Joint with Alexander Gorodnik. Random walks on dense subgroups of locally compact groups Joint with Yair Hartman and Hanna Oppelmayer Kudo-continuity of entropy functionals Joint with Yair Hartman and Hanna Oppelmayer
Spectral theory of approximate lattices in nilpotent groups Joint with Tobias Hartnick Bernoulli actions of amenable groups Joint with Zemer Kosloff ## Publications and Accepted PapersEffective multiple equidistribution of translated measures. Joint with Alexander Gorodnik. Accepted in IMRN (2021). Aperiodic order and spherical diffraction III: The shadow transform and the diffraction formula. Joint with T. Hartnick and F. Pogorzelski. Accepted in JFA (2021). Aperiodic order and spherical diffraction II: Translation bounded measures on homogeneous spaces. Joint with T. Hartnick and F. Pogorzelski. Accepted in Math. Zeitschrift (2021). Patterns in sets of positive density in trees and affine buildings. Joint with A. Fish and J. Parkinson. Accepted in Groups, Geometry and Dynamics (2021). Sets of transfer times with small densities Joint with A. Fish and I. Shkredov. Accepted Journal de l'Ecole polytechnique (2021). Ergodicity and type of
non-singular Bernoulli actions Joint with Zemer Kosloff and Stefaan Vaes. Inventiones (2020). Analytic properties of
approximate lattices Borel
density for approximate lattices Joint with Tobias Hartnick and Thierry Stulemeijer. Forum of Math, Sigma (2019). Central limit theorem
for diophantine approximants. Approximate invariance
for ergodic actions of amenable groups. Central Limit Theorems
for group actions which are exponentially mixing of all orders
Approximate lattices Quantitative
multiple mixing Aperiodic order and
spherical diffraction, Part I: Auto-correlation of model sets
Central Limit
Theorems in the Geometry of Numbers Twisted patterns in
large subsets of Z^N Product set
phenomena for measured groups. Small product sets in
compact groups. Random walks on countable groups. Characteristic
Polynomial Patterns in differnce sets of matrices Ergodic Theorems
for coset spaces Quasi-state
rigidity for finite-dimensional Lie algebras Plünnecke
inequalities for countable abelian groups
Product set
phenomena for countable groups Biharmonic
functions on groups and limit theorems for quasimorphisms along
random walks The Asymptotic Shape Theorem for Generalized First Passage
Percolation Ergodic Theorems for Random Clusters Ergodic Theorems for Homogeneous Dilations Central Limit Theorems for Gromov Hyperbolic Groups Equidistribution of dilations of polynomial curves in
nilmanifolds Continuous Measures on Homogeneous Spaces Almost Sure Absolute Continuity of Subordinated Bernoulli
Convolutions Almost Sure Equidistribution in Expansive Families Entropy range problems and actions of locally normal groups The g-theorem matrices are totally nonnegative |