Lemma 1

Borel - Cantelli Lemma 1

The notation and terminology used here have been introduced in the following papers: [17], [3], [4], [8], [13], [1], [2], [5], [15], [14], [21], [9], [12], [11], [16], [6], [20], [19], and [18]. For simplicity, we adopt the following rules: O1 is a non empty set, S1 is a σ-field of subsets of O1, P1 is a probability on S1, A is a sequence of subsets of S1, and n is an element of N. Let D be a s...

A TRANSLATION THEOREM 1 Lemma

Exchange lemmas 1 : Deng ’ s lemma ✩

Deng’s lemma gives estimates on the behavior of solutions of ordinary differential equations in the neighborhood of a partially hyperbolic equilibrium. We prove a generalization in which “partially hyperbolic equilibrium” is replaced by “normally hyperbolic invariant manifold.” © 2007 Elsevier Inc. All rights reserved. MSC: 34E15; 34B15; 34C30

Full Abstraction and the Context Lemma 1

It is impossible to add a combinator to PCF to achieve full abstraction for models such asBerry's stable domains in a way analogous to the addition of the \parallel-or" combinatorthat achieves full abstraction for the familiar cpo model. In particular, we de ne a generalnotion of rewriting system of the kind used for evaluating simply typed -terms in Scott'sPCF. Any simply t...

1 J an 1 99 5 THE FUNDAMENTAL LEMMA FOR

The authors establish the fundamental lemma for a relative trace formula. This trace formula compares generic automorphic representations of GSp(4) with auto-morphic representations of GL(4) which are distinguished with respect to a character of the Shalika subgroup, the subgroup of matrices of 2 × 2 block form g 0 X g. The fundamental lemma, giving the equality of two orbital integrals, amount...