Thin groups and superstrong approximation / ed. by E.Breuillard, H.Oh. - New York: Cambridge univ. press, 2014. - xii, 362 p.: ill. - (Mathematical sciences research institute publications; vol.61). - Bibliogr. at the end of the art. - ISBN 978-1-107-03685-7  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

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