Table of Contents
PDF file
Preface
by Emmanuel Breuillard and Hee Oh, ix–xii
PDF file
Some Diophantine applications of the theory of group expansion
by Jean Bourgain, 1–22
PDF file
A brief introduction to approximate groups
by Emmanuel Breuillard, 23–50
PDF file
Superstrong approximation for monodromy groups
by Jordan S. Ellenberg, 51–71
PDF file
The ubiquity of thin groups
by Elena Fuchs, 73–92
PDF file
The orbital circle method
by Alex Kontorovich, 93–106
PDF file
Sieves in discrete groups, especially sparse
by Emmanuel Kowalski, 107–140
PDF file
How random are word maps?
by Michael Larsen, 141–149
PDF file
Constructing thin groups
by D. D. Long and A. W. Reid, 151–166
PDF file
Ergodic properties of the Burger–Roblin measure
by Amir Mohammadi, 167–178
PDF file
Harmonic analysis, ergodic theory and counting for thin groups
by Hee Oh, 179–210
PDF file
Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces
by Gopal Prasad and Andrei S. Rapinchuk, 211–252
PDF file
Growth in linear groups
by László Pyber and Endre Szabó, 253–268
PDF file
Strong approximation for algebraic groups
by Andrei S. Rapinchuk, 269–298
PDF file
Generic phenomena in groups: some answers and many questions
by Igor Rivin, 299–324
PDF file
Affine sieve and expanders
by Alireza Salehi Golsefidy, 325–342
PDF file
Notes on thin matrix groups
by Peter Sarnak, 343–362
PDF file