American journal of mathematics, Volume 124, Issues 5-62002 |
Contents
Mean field upper and lower bounds on Lyapunov exponents By WEIMIN | 851 |
Ramification of local fields with imperfect residue fields By AHMED | 879 |
Diophantine equations and ergodic theorems By Akos MAGYAR | 921 |
Copyright | |
4 other sections not shown
Other editions - View all
Common terms and phrases
alcove apply assume Borel boundary bounded closed complete complete intersection components condition connected consider constant contains Corollary corresponding curve defined definition denote depend determined diagram dimensional direct element equality equations equivalent essential estimate Example exists extension fact field finite fixed flat formal formula function G-module geometric given gives harmonic Hence holds holomorphic ideal implies induces inequality integral intersection irreducible isomorphism Lemma length Lie algebra limit locally Math maximal measure metric module Moreover morphism natural Note obtain particular positive projective Proof Proposition prove reduced regular Remark resp respectively result ring root satisfies separable sequence sheaf sheaves singularities solution space Spec statement subalgebra subgroup subset Suppose Theorem theory unique University values weight