Tài liệu Đề tài " Elliptic units for real quadratic fields " ppt
Tài liệu Đề tài " Elliptic units for real quadratic fields " ppt
... s}∈K
×
p
/U.
Annals of Mathematics
Elliptic units for real
quadratic fields
By Henri Darmon and Samit Dasgupta
ELLIPTIC UNITS FOR REAL QUADRATIC FIELDS
319
This indefinite integral ... Note that the matrix γ
τ
fixes the quadratic form
ELLIPTIC UNITS FOR REAL QUADRATIC FIELDS
321
Q
τ
under the usual action of SL
2
(Z) on the set of binary quadr...
Tài liệu Đề tài " Rigidity for real polynomials " pptx
... 749–841
Rigidity for real polynomials
By O. Kozlovski, W. Shen, and S. van Strien*
Abstract
We prove the topological (or combinatorial) rigidity property for real poly-
nomials with all critical points real ... and
˜
f.
Although our main interest is in real polynomials with real critical points,
we shall frequently need to consider a slightly larger class of maps: real poly-
n...
Tài liệu ĐỀ TÀI : MÃ HOÁ HỆ ĐA CẤP ĐA KẾ THỪA THAY CHO PHÉP TÍNH LƯỚI DỰA TRÊN TÀI LIỆU : ENCODING MULTIPLE INHERITANCE HIERARCHIES FOR LATTICE OPERATIONS doc
... MÔN HỌC
KHAI THÁC DỮ LIỆU VÀ ỨNG DỤNG
ĐỀ TÀI : MÃ HOÁ HỆ ĐA CẤP ĐA KẾ THỪA THAY CHO PHÉP
TÍNH LƯỚI
DỰA TRÊN TÀI LIỆU : ENCODING MULTIPLE INHERITANCE
HIERARCHIES FOR LATTICE OPERATIONS ... bằng chứng của sự chính xác,
m
ột loạt bổ đề hữu ích được trình bày.
Bổ đề 1 (Thay thế)
)()()()()()( zxzyandyx
γ
γ
γ
γ
γ
γ
⊇
⇒
⊇
⊇
.
Chứng minh. Bổ đề sau sự thật là
)()( yx
γ
γ
⊇...
Tài liệu Đề tài " Moduli spaces of surfaces and real structures " doc
... 591
and V. Kharlamov for a useful conversation, V. Kulikov and Sandro Manfre-
dini for pointing out some nonsense, Sandro again for the nice picture, and
finally Grzegorz Gromadzki for pointing out ... branching indices of y,z for f
are the same. On the other
hand, the branching index of y for f
is the product of the branching index of
y for f times the one of f(y) for F ....
Tài liệu Đề tài " Metric attractors for smooth unimodal maps " docx
... METRIC ATTRACTORS FOR SMOOTH UNIMODAL MAPS
733
Lemma 3.1. For s>0 consider the function
φ
s
(x):=
tanh(
s
2
x)
tanh(
s
2
)
,
which is a real- analytic diffeomorphism of the real line into itself, ... 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...
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 " 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
|I
T
|...
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
... nontrivial.
Corollary 3. As before, let a be a cyclic permutations of (0, 1/2] and
(1/2, 1]. Consider elements
b
1
= PPTPPT PPTPPT PPTPPT ,
b
2
= TPPTPP TPPTPP TPPTPP ,
and
b
3
= PPTTPP PPTTPP PPTTPP .
(b
1
, ... 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 th...
Tài liệu Đề tài " Decay of geometry for unimodal maps: An elementary proof " doc
... Lyubich [12] with a gap fulfilled in [14].
(The argument in [12] is complete for quadratic maps, and more generally, for
real analytic maps in the “Epstein class”. The gap only appears in the passage
to ... shall only use the
standard cross-ratio technique and the real Koebe principle. This completes
a real attempt for the attractor problem for unimodal interval maps with
critica...
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