Đề tài " Multi-critical unitary random matrix ensembles and the general Painlev e II equation " pdf
Đề tài " Multi-critical unitary random matrix ensembles and the general Painlev_e II equation " pdf
... at the origin. In order to compute the double scaling limits of the eigenvalue correlation kernel near the origin, we use the Deift/Zhou steepest descent method applied to the Riemann-Hilbert ... Multi-critical unitary random matrix ensembles and the general Painlev_ e II equation By T. Claeys, A.B.J. Kuijlaars, and M. Vanlessen MULTI-CRITICAL...
Ngày tải lên: 15/03/2014, 09:20
Đề tài " Projective structures with degenerate holonomy and the Bers density conjecture " potx
... projective structures Σ − and Σ + corresponding to the two components of the domain of discontinuity. We leave the following theorem as an exercise for the reader. Theorem 3.4. The projective structure ... Abikoff [Ab] proved the conjecture when M is geometrically finite. Recently Minsky [Min3] has proved the conjecture in the case where there is a lower bound on the length...
Ngày tải lên: 06/03/2014, 08:21
Đề tài " Diophantine approximation on planar curves and the distribution of rational points " pptx
... <ψ(Q)/Q . Proof of Theorem 6 modulo Theorem 7. This is trivial. Given the hy- potheses of Theorem 7, the hypotheses of Theorem 6 are clearly satisfied. Fix an interval I ⊆ I 0 . By Theorem 7, there exist constants ... con- crete situation described above. In view of this and for the sake of complete- ness we retraced the argument of [6] in the above simple setting at the end...
Ngày tải lên: 15/03/2014, 09:20
Đề tài " Invertibility of random matrices: norm of the inverse " doc
... case we estimate the small ball probability using Lemma 5.2 and the size of the ε-net using Lemma 8.1. Note that only the second estimate uses the profile of the vectors. Then we conclude the proof ... we use the third technique, namely Hal´asz method. However, since the formulation of the result requires several technical assumptions on the vector x, we postpone it to...
Ngày tải lên: 15/03/2014, 09:20
Đề tài " Combinatorics of random processes and sections of convex bodies " pptx
... |A| 1/α leaves. This separating tree improves in a sense the set A which was already separated. Of course, the leaves in this tree are c-separated in the L ∞ -norm, but the tree also shows some pattern in the coordinates ... |A| 1/α .(3.4) Here |A| denotes the cardinality of the set A. COMBINATORICS OF RANDOM PROCESSES 617 Separating tree. This and the next step are versio...
Ngày tải lên: 22/03/2014, 20:20
Tài liệu Đề tài " Gromov-Witten theory, Hurwitz theory, and completed cycles " ppt
... the infinite wedge Λ ∞ 2 V and explicitly evaluated, see Sections 3 and 5. The GW/H correspondence naturally extends to relative Gromov-Witten theory; see Theorem 1. In the relative context, the ... the difference between the number |S + | of occupied positive energy levels (particles) and the number |S − | of vacant negative energy levels (holes), whence the name. GROMOV-...
Ngày tải lên: 16/02/2014, 05:20
Đề tài " Divisibility of anticyclotomic L-functions and theta functions with complex multiplication " pdf
... To every φ ∈ V we associate the theta func- 2 To be precise, the proof given there only considers the case ν = 0, but carries over to the general case. 3 For the following setup of the Weil representation ... (β)=b ¯ b −1 . Weil representation and theta functions. To construct theta functions in the adelic setting we use the Weil representation. By the Stone-von Neumann...
Ngày tải lên: 06/03/2014, 08:21
Đề tài " Positive extensions, Fej´erRiesz factorization and autoregressive filters in two variables " pot
... (iii). One can state several variations of the above result. We state the following one. It may be proven by using the above result (with the roles of z and w reversed) together with the observation ... POSITIVE EXTENSIONS 847 denote the associated halfspace by H and refer to it as the standard halfspace. In the case of the reverse lexicographical ordering we shall denot...
Ngày tải lên: 22/03/2014, 16:20
Đề tài " Sum rules for Jacobi matrices and their applications to spectral theory " pdf
... but using the theory of Nevanlinna functions and (iii), we will be able to handle the general trace class case (in Section 9), so we forgo these intermediate results. Lemma 2.6. Let C be diagonal ... the right-hand side of (1.23) is finite, then the left-hand side is also finite and LHS ≤ RHS. Theorem 6. If µ is a probability measure that obeys the Blumenthal- Weyl criterion an...
Ngày tải lên: 28/03/2014, 22:20
Đề tài " Derived equivalences for symmetric groups and sl2-categorification " pptx
... ζ(σ )=σ. EF ηEF FEEF Fη EEF // Fη EEF )) S S S S S S S S S S S S S S FEEF ## F F F F F F F F F F F F F F F F F F F F FEFEEF FEη FEEF // FEEFFEEF FEET EEF ** U U U U U U U U U U U U U U U U FEFEEF FEη FEEF // FEε EF FEEFFEEF FTFFEEF // FEEFε EF FEEF ... of general linear groups over ¯ F p , where we deduce that two blocks corresponding to weights with the same stab...
Ngày tải lên: 29/03/2014, 07:20