Tài liệu Đề tài " Weak mixing for interval exchange transformations and translation flows " ppt
Tài liệu Đề tài " Weak mixing for interval exchange transformations and translation flows " ppt
... 637–664
Weak mixing for interval exchange
transformations and translation flows
By Artur Avila and Giovanni Forni*
Abstract
We prove that a typical interval exchange transformation is either weakly
mixing ...
Weak mixing for interval
exchange
transformations and
translation flows
By Artur Avila and Giovanni Forni*
WEAK MIXING FOR IN...
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 " Metric attractors for smooth unimodal maps " docx
... compact interval and f : I → I be a C
3
uni-
modal map with C
3
nonflat critical point ζ of order 2.Ifζ is recurrent and
nonperiodic and f has only finitely many restrictive intervals then for every
ε
0
> ... Thus
S(G)(y) < 0 for all y in the domain of G if Y is small enough.
We immediately obtain a weak form of the finiteness of attractors theo-
rem [6]:
Corollary 3. Let I b...
Tài liệu Đề tài " Index theorems for holomorphic self-maps " docx
... extensions of H
σ,f
and H
1
σ,f
, and to know how they behave
under change of (comfortable) coordinates.
Definition 4.1. Let S be comfortably embedded in M and of codimension
1, and take f ∈ End(M, ... → E → N
S
→ O
of N
S
by Hom(N
S
,N
S
), and S is comfortably embedded in M if and only if
this extension splits. See also [ABT] for more details on comfortably embedded
submanifold...
Tài liệu Đề tài " Uniform bounds for the bilinear Hilbert transforms, I " ppt
... 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)
≤ ... T
k
= T
k,l
and
Φ
j,k,T
=Φ
j,k,l
. Otherwise, let T
k
= ∅ and Φ
j,k,T
= 0. For brevity, we write
(k, n) ∈ T if and only if there exists an l ∈...
Tài liệu Đề tài " Cover times for Brownian motionand random walks in two dimensions " pdf
...
Cover times for Brownian
motionand random walks
in two dimensions
By Amir Dembo, Yuval Peres, Jay Rosen, and Ofer
Zeitouni
COVER TIMES FOR PLANAR BROWNIAN MOTION AND RANDOM WALKS
451
With ... C
n−l
2
n!
l!
−ζ−γ
.(6.9)
454 AMIR DEMBO, YUVAL PERES, JAY ROSEN, AND OFER ZEITOUNI
Recall that ε
k
= ε
1
(k!)
−3
and ε
n,k
= ρ
n
ε
n
(k!)
3
for ρ
n
= n
−21
and k =
1, ,n....
Tài liệu Đề tài "Boundary behavior for groups of subexponential growth " docx
... 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
, b
2
and b
3
are periodic with period ... polynomial growth if and only if it is virtually
nilpotent ([18]) and that any solvable or linear group has either polynomial or
exponential growth (see [25] and [32] for solvabl...
Tài liệu Đề tài " Elliptic units for real quadratic fields " ppt
... is such an edge, it is convenient to
write s(e):=v
s
and t(e)=v
t
for the source and target vertex of e respectively,
and ¯e =(v
t
,v
s
) for the edge obtained from e by reversing the orientation.
A(Z-valued) ... corresponding to αA for
some α ∈ K
×
of negative norm, and let Q be a quadratic form of discriminant
D associated to A. A standard calculation (cf. the beginning of Sec...
Tài liệu Đề tài " Decay of geometry for unimodal maps: An elementary proof " doc
... Kozlovski, M. Shishikura
and S. van Strien for useful discussions, A. Avila and H. Bruin for helpful
comments, and the referee for reading the manuscript carefully and for valuable
suggestions. ... τ>0 and 0 <C≤ 1 be constants. Let I be an interval,
and let h : I → h(I)=(−τ, 1+τ ) be a diffeomorphism. Assume that for
any intervals J T ⊂ I, there exists C(h; T,J)...
Tài liệu Đề tài " An uncertainty principle for arithmetic sequences " ppt
... principle
for arithmetic sequences
By Andrew Granville and K. Soundararajan*
AN UNCERTAINTY PRINCIPLE FOR ARITHMETIC SEQUENCES
611
Dirichlet series G
q
(s). Note that g
q
(p
k
)=0forp q, and ... log z)
1
In fact, for z ≥ 200.
AN UNCERTAINTY PRINCIPLE FOR ARITHMETIC SEQUENCES
613
and the claim follows. For small p<101
3
, set K = [log z/(2 log p)] and observe
tha...