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...
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...
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...
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...
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...
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-...
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...
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...
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...
Đề tài " Derived equivalences for symmetric groups and sl2-categorification " pptx
... ζ(σ
)=σ.
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FEEFε
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FEEF ... of general linear
groups over
¯
F
p
, where we deduce that two blocks corresponding to weights
with the same stab...
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