Đề tài "Universal bounds for hyperbolic Dehn surgery" pptx
Tài liệu Đề tài " Uniform bounds for the bilinear Hilbert transforms, I " ppt
... y)dy,
Annals of Mathematics
Uniform bounds for the
bilinear Hilbert
transforms, I
By Loukas Grafakos and Xiaochun Li
UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I
907
and
Φ
1,k,l
(·)e
−2πic(ω
1,k,l
)(·)
(x)
≤ ... supported by the NSF.
UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I
917
Therefore, we obtain
I
13
2
≤ C2
−ηµ
2
−
µ
p
j
|...
Tài liệu Đề tài " Metric attractors for smooth unimodal maps " docx
... diffeomorphic for arbitrarily large n
i
.
Thus f
n
|
I
is diffeomorphic for all n>0, which shows that I is a homterval.
Since f has no wandering intervals [6], this means that ω(x) is a periodic
orbit for ... Crit and a forward invariant B ⊂ A
of positive Lebesgue measure so that the forward orbit of every point of B
is disjoint from U. The support K of Lebesgue measure restricted to B...
Tài liệu Đề tài " Index theorems for holomorphic self-maps " docx
... said to be comfortable for S.
Roughly speaking, then, a comfortably embedded submanifold is like a first-
order approximation of the zero section of a vector bundle.
INDEX THEOREMS FOR HOLOMORPHIC ... will be called a splitting atlas for S.Itis
easy to see that for any splitting morphism σ : N
S
→ TM|
S
there exists a
splitting atlas
U
such that σ(∂
r,α
)=∂/∂z
r
α
for all r =1, m and...
Tài liệu Đề tài " Cover times for Brownian motionand random walks in two dimensions " pdf
... proof of (2.10).
Lemma 2.3. For any δ>0 there exist c<∞ and ε
0
> 0 so that for all
ε ≤ ε
0
and y ≥ 0
P
x
0
T (x, ε) ≥ y(log ε)
2
≤ cε
(1−δ)πy
(2.20)
for all x, x
0
∈ T
2
.
Proof ... ˜ε
(1−10δ)a
n
,
for some c = c(δ) < ∞, all sufficiently large n and any x ∈ T
2
. Thus, for all
sufficiently large n,anyj and a>0,
P
x
0
(j ∈A
n
) ≤ c ˜ε
(1−10δ)a
n
.(2.27)
COVER TIMES F...
Tài liệu Đề tài "Boundary behavior for groups of subexponential growth " docx
... Grigorchuk and V. A. Kaimanovich for useful
discussions. I am grateful to R. Muchnik for turning my attention to the groups
G
w
and for discussions on the upper bounds for the growth function of G
w
(see
Theorem ... The Poisson formula for groups with hyperbolic properties, Ann. of
Math. 152 (2000), 659–692.
[23]
V. A. Kaimanovich and A. M. Vershik, Random walks on groups: bound...
Tài liệu Đề tài " Elliptic units for real quadratic fields " ppt
... (4.1)] for a statement of Meyer’s formula in the case where D is
fundamental; the general case can be derived from equation (18) in §5 of [CS]
for example.) It follows that Proposition 3.2 holds for ... ×
τ
t
r
dlog α, for all r, s, t ∈ Γξ,(50)
×
τ
1
s
r
dlog α ÷×
τ
2
s
r
dlog α = ×
τ
1
τ
2
s
r
dlog α, for all τ
1
,τ
2
∈H
p
,(51)
×
γτ
γs
γr
dlog α = ×
τ
s
r
d...
Tài liệu Đề tài " Weak mixing for interval exchange transformations and translation flows " ppt
... ∈ [0, 1] is strictly positive for every
J ∈J and almost every x ∈ ∆, and depends continuously on J for almost
646 ARTUR AVILA AND GIOVANNI FORNI
every x. Thus, for every δ>0 and J ∈J, there ... · w
R
p
/Z
p
< for all k ≤ n, and let W
s
δ
(x)=∩W
s
δ,n
(x).
lemma 3.4. There exists δ>0 such that for all J ∈J and for almost
every x ∈ ∆, J ∩ W
s
δ
(x)=∅.
Proof. For any δ<...
Tài liệu Đề tài " Mirror symmetry for weighted projective planes and their noncommutative deformations" pdf
... of the technical con-
siderations can be skipped. For example, Seidel considers the case where the
symplectic form ω is exact (ω = dθ for some 1-form θ) and the L
i
are exact
Lagrangian submanifolds ... θ
an
, with entries
θ
an
ij
:= θ
ij
θ
−1
ji
for all 0 ≤ i, j ≤ n.(2.3)
Thus, if (θ
)
an
= θ
an
for two matrices θ
and θ, then S
θ
∼
=
S
θ
.
As before, denote by qgr(S
θ
) the quo...
Tài liệu Đề tài " Boundary regularity for the Monge-Amp`ere and affine maximal surface equations " docx
... o(h
n/2
) for a sequence h → 0.
By (2.2), we have S
0
h,u
⊃{x ∈ ∂Ω ||x| <Ch
1/2
} for some C>0. Hence
b
h
= o(h
1/2
). By (2.2) we also have u(x) ≥ C
0
|x|
2
for x ∈ ∂Ω. Hence if
a
h
≤ Ch
1/2
for ... A
δ
(T (∂Ω)) for any affine transformation T which
leaves the origin invariant, namely T(x)=T · x for some matrix T .
Estimate (3.30) gives a control of the shape of the level set...
Đề tài " McKay correspondence for elliptic genera " pptx
... +1)z)
.
In the above formula the first two lines account for the tangent bundle to
ˆ
X
g,h
0
,
the next two lines account for the normal bundle to it, and the remaining three
lines account for the divisors. ... Jacobi form
provided:
λ
x
λ
+
δ
k
E
k
= 0 and for any g ∈ G one has
mn
λ
λ(g)+
k
δ
k
ε
k
(g)
∈ Z.
Those are the assumptions of the proposition. The Jacobi property...