Đề tài " A cornucopia of isospectral pairs of metrics on spheres with different local geometries " potx

... two Annals of Mathematics A cornucopia of isospectral pairs of metrics on spheres with different local geometries By Z. I. Szab´o* CORNUCOPIA OF ISOSPECTRAL PAIRS 361 nonequivalent ... atypical example of an HESW A when A is a diagonal matrix having the same imaginary quaternion (say I) in the main diagonal and the anticommuting matri...

Ngày tải lên: 29/03/2014, 07:20

... sum ∞  q=1 q ε κ(q) 2+δ q 3 converges, as one readily verifies on recalling the definition of κ(q). The conclusion of Lemma 9 is now apparent from (6.13). The proof of Lemma 10. The conclusion of part (i) of Lemma 10 is a ... equivalent to Λ 1 . We analyse the situation (b) by applying an argument paralleling that of the second paragraph of the proof of Lemma 6, in this ins...

Ngày tải lên: 22/03/2014, 20:21

... to infinity on the upper right. Annals of Mathematics A shape theorem for the spread of an infection By Harry Kesten and Vladas Sidoravicius SHAPE THEOREM FOR SPREAD OF AN INFECTION 719 We ... A- particles, each of which performs a continuous time simple random walk on Z d , with jump rate D A . We assume that “just before the start” the number of A- part...

Ngày tải lên: 16/02/2014, 06:20

... expansions 3. Cancellation of p-adic singularities 4. Separation by infinitesimal character 5. Elimination of restrictions on f 6. Local trace formulas 7. Local Theorem 1 8. Weak approximation 9. ... orbital integrals) or with a function on the product of Π(M v ,ζ v ) with a M,v /a Z,v (by means of characters). Similarly, an element in SI ac (M v ,ζ v ) can be identifi...

Ngày tải lên: 05/03/2014, 23:20

... for Mathematical Physics and Stochastics, funded by the Danish National Research Foundation. The second author was supported by The Danish National Science Research Council. A NEW APPLICATION OF ... ,X (n) r ) is a random variable taking values in E r,n , so that Y =Ψ(X) is a random variable taking values in R rn 2 . As mentioned in Remark 3.4, it is easily seen that the distribution...

Ngày tải lên: 22/03/2014, 20:20

... emerged as a distinct area of mathematics. A period of calculation beginning with Serre’s computa- tion of the cohomology of Eilenberg-MacLane spaces and the advent of the Adams spectral sequence ... results are algebraic in nature; they give a nice presentation of E ∗ as a G 24 -algebra. First we define an action of G 24 on W = W (F 9 )bythe formulas: s (a) =at (a) =...

Ngày tải lên: 22/03/2014, 20:20

... the quarters along the diagonal with more than three anchors lie in the Q-system. Any additional quarters along the diagonal {v 2 ,v 4 } belong to an adjacent pair. Any additional quarters along ... two diagonals has additional anchors. If neither of the two diagonals has more than three anchors, we have nothing more than two overlapping adjacent pairs of quarters along conflicting dia...

Ngày tải lên: 22/03/2014, 20:20

... refinement of) Ruzsa’s analogue of Freiman’s theorem, which gives a fairly strong characterisation of subsets A ⊆ F n 2 satisfying a small doubling condition |A + A|  K |A| . An analogue of this ... definition  µ is the characteristic function of a set of K characters, and so we have a contradiction. It follows that we may assume d  = 0, in which case all of the sub...

Ngày tải lên: 22/03/2014, 20:21

... A i,j is nonzero and at most one of i and j is in S(α). Again, assume that A ∈ B r , α is an eigenmatrix of ad(H α ) with eigenvalue λ A and that A i,j =0. 1. j>i.Weconsider the submatrix of A of the ... c j s are already determined. In that case H  is now fixed and we have to show that it satisfies (4). It will be convenient to replace the action of adH  on Y, c...

Ngày tải lên: 28/03/2014, 22:20

... less than 1). Then there are a dense f-invariant subset ˜ Σ of Σ and an ε-perturbation ˆ A of A such that for any y ∈ ˜ Σ the linear map M ˆ A (y) is either a dilation or a contraction (according ... ε/2-perturbation ˜ A of A and apoint x ∈ Σ  such that M ˜ A (x)isahomothety. We can suppose that (up to an arbitrarily small perturbation) this homothety is either a di...

Ngày tải lên: 28/03/2014, 22:20