Đề tài " Stability of mixing and rapid mixing for hyperbolic flows " pot

... from (3.21), that for every fixed γ ∈ (0, 1) and d>0, the left-hand side of (3.21) tends to +∞ as G d →∞. This concludes the proof of part (i) of Theorem 2.2. 4. Discreteness of spectrum: sufficiency In ... of spectrum and positivity criteria for Schr¨odinger operators By Vladimir Maz’ya and Mikhail Shubin* Abstract We provide a class of necessary and sufficient conditio...

Ngày tải lên: 22/03/2014, 20:20

... third of the identities in Corollary 3.38. The remaining two follow similarly from the proof of Proposition 3.28. We should remark that the proof of parts a) and c) of Proposition 3.28, and of the ... characters of N in the Fourier expansion. On the other hand, the expressions (3.15), with σ n,k and ρ n,k in place of σ and ρ, should be viewed as the non-abelian Fourier c...

Ngày tải lên: 15/03/2014, 09:20

... i ≥ 2. Annals of Mathematics Stability of mixing and rapid mixing for hyperbolic flows By Michael Field, Ian Melbourne, and Andrei T¨or¨ok* STABLE MIXING AND RAPID MIXING 287 If ... contractions and a theorem of Poincar´e, Amer. J. Math. 79 (1957), 809–824. (Received April 14, 2005) Annals of Mathematics, 166 (2007), 269–291 Stability of m...

Ngày tải lên: 15/03/2014, 09:20

... m and fixing a set of positive integers E, we evaluate β m   e∈E (1 − x e ) r e  for a number of selections for the exponents r e , subject to gcd{r e : e ∈ E} =1. For example, for m = 2 and ... termination, for example, a prescribed bound on k or deg F k , or the appearance of a decreasing sequence of values of b k of a particular length. 358 P. BORWEIN, E. DOBROW...

Ngày tải lên: 15/03/2014, 09:20

... causal and chronological future J + (S) and I + (S), and thereby, in a standard way, the domain of influence and domain of dependence of an achronal set S. Given (u, v) ∈ D(U), a solution of the ... These global properties of solutions of this system render them totally inappropriate for studying the collapse of regular regions and the formation of trapped regions....

Ngày tải lên: 05/03/2014, 23:20

... S 2 ) is the set of inert (resp. split) primes at which χ˜η is ramified. For p ∈ S 2 let n p be the maximum of the exponents of the conductors of χ and ˜η at p. Yang’s choice of the function φ ... OF ANTICYCLOTOMIC L-FUNCTIONS 783 and a compatible action of G(L r, a )onΓ(E a , L r, a ). It is then clear that the set of points of finite order of G(L r, a ) over O is the...

Ngày tải lên: 06/03/2014, 08:21

... coefficients of the cusp form θ t ϕ 2 (χ) and explicitly identify INTEGRALITY OF A RATIO OF PETERSSON NORMS 925 the form θ t ϕ 1 (1) as an Eisenstein series for ϕ 1 and ϕ 2 in S(D 1 (A)) and S(D 2 (A)) respectively. 3.3. ... Grossencharacters of K and the Siegel- Weil formula. We first derive an explicit formula for the Fourier coefficients of θ t ϕ 2 (χ  ) for any ϕ 2 ∈S(...

Ngày tải lên: 06/03/2014, 08:21

... that φ and ψ are weights of L(λ) and L(μ) and φ + ψ = ν. Hence, the set of T -fixed points in m −1 L ν ∩ ˜ Gr λ,μ consists of the points of the form (z φ ,z ψ G O ) with φ+ ψ = ν and φ and ψ weights ... for the dimension of C, and H ν for the hyperplane of Proposition 3.1 (b) and consider an irreducible component D of ¯ C 0 ∩ H ν . By Proposition 3.1 the dimensi...

Ngày tải lên: 06/03/2014, 08:21

... of variants of yeast enolase and, in many cases, the introduction of mutations has decreased the temperature stability. Although a Fig. 6. Peptide bond CD of the monomeric and dimeric forms of wild-type ... change in the conformation of this loop. Changes in the conformation of the backbone at this point and changes in the orientation of other side chains, as a result o...

Ngày tải lên: 16/03/2014, 06:20

... T − and T + with at least |A − | 1/α and |A + | 1/α leaves respectively. Now glue the trees T − and T + into one tree T of subsets of A by declaring A the root of T and A − and A + the sons of ... f(i) ≥ g(i)+c for all f ∈ A + , g ∈ A − . Therefore T is a c-separating tree of A. The number of 618 M. RUDELSON AND R. VERSHYNIN leaves in T is the sum of the number of...

Ngày tải lên: 22/03/2014, 20:20