Tài liệu Đề tài " Logarithmic singularity of the Szeg¨o kernel and a global invariant of strictly pseudoconvex domains " docx

... the geometry and analysis of strictly pseudoconvex domains. The key idea of the program is to consider the Bergman and Szeg¨o kernels of the domains as analogs of the heat kernel of Riemannian ... 16, 2003) Annals of Mathematics Logarithmic singularity of the Szeg¨o kernel and a global invariant of strictly pseudoconvex dom...

Ngày tải lên: 16/02/2014, 05:20

... compact Riemann surfaces. The flat structure on the surface associated to a rational billiard is a special case, namely the square of a holomorphic 1-form. The ergodic theory of the billiards Q λ was first ... that K(v) ⊂ L =  i≥1 U i , and therefore v ∈ P o . This completes the proof of Lemma A. 1. A. 3. The completion of the proof Let H beaseparable Hilbert...

Ngày tải lên: 14/02/2014, 17:20

... cross the slices of width η that make up all of the S j η,N ’s. To that end, consider all the hyperplanes that lie at the center of these slices and all the hyperplanes that lie at a distance 1 2 η ... P  |W a 1 (ct) ∩ W a 2 (ct)|≥t  = −I κ a d (c) and derive a variational representation for the rate constant I κ a d (c). Here, κ a is the Newtonian capa...

Ngày tải lên: 14/02/2014, 17:20

... K 1 and delete the edges in K 2 . Therefore, conditionally on Υ R and the occurrence of S, the path γ R has the distribution of the loop-erasure of a simple random walk on H, starting at x and ... for the vertices. See BLPS [2] for details. We say that a random set A stochastically dominates a random set Q if there is a coupling µ of A and Q such that µ...

Ngày tải lên: 14/02/2014, 17:20

... proved estimates for the total curvature and area of stable sectors. A stable sector in the sense of [CM3], [CM4] is a stable subset of a minimal surface given as half of a normal tubular neighborhood ... function of s, a standard argument then gives (II.1.16). Annals of Mathematics The space of embedded minimal surfaces of fixed genus in a 3-manifold...

Ngày tải lên: 14/02/2014, 17:20

... necessary, and we could have proceeded in a different way: the proof of the phase- parameter relation actually shows that there is a holonomy map between phase and parameter intervals (and not ... estimates would allow our proofs to work. Annals of Mathematics Statistical properties of unimodal maps: the quadratic family By Artur Avila and Carlos Gustavo More...

Ngày tải lên: 16/02/2014, 05:20

... general case let F a be the polynomial just obtained for C = C a . Put F (a 0 , ,a d ) =  a F m a a . The coefficient of s d 0 has the same zero locus as p ∗ (a 0 ); so after rescaling by a constant, ... surjectivity of the linearization of the map (6). An application of the implicit function theorem with J ∈J U,V and a 0 as parameters thus establishes (1...

Ngày tải lên: 16/02/2014, 05:20

... KLAINERMAN AND IGOR RODNIANSKI To prove (77) we need to rely on the fact that ψ is a solution of the wave equation  H ψ = 0. We shall also make use of the following standard integration by parts ... blend paradifferential techniques with a geometric approach to the derivation of decay estimates. The latter allows us to take full advantage of the specific structure of...

Ngày tải lên: 16/02/2014, 05:20

... have δ AB R AB = −δ AB R A4 B3 −δ AB δ CD R ACBD , and therefore, δ AB R A4 3B = δ AB R AB + δ AB δ CD R ACBD = R + R 34 + δ AB δ CD R ACBD . We now appeal to Corollary 4.4 and express δ AB R A4 3B in ... s 2 M(∂H). The inequality (56) is an immediate consequence of (55) and Lemma 6.7. The estimate (57) follows from (56), (48), and the L 2 estimate for the Hardy- Littlewo...

Ngày tải lên: 16/02/2014, 05:20

... have in [AC] extended some of the results of Bordemann, Meinrenken and Schlichenmaier and Karabegov and Schlichenmaier to the case of singular varieties. In [A3 ] the argument of the present paper ... Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups in the singular case, in preparation. [AC] J. E. Andersen and M. Christ...

Ngày tải lên: 16/02/2014, 05:20