Invariant measures

We classify measures on the locally homogeneous space Γ\ SL(2, R) × L which are invariant and have positive entropy under the diagonal subgroup of SL(2, R) and recurrent under L. This classiﬁcation can be used to show arithmetic quantum unique ergodicity for compact arithmetic surfaces, and a similar but slightly weaker result for the ﬁnite volume case. Other applications are also presented. In the appendix, joint with D. Rudolph, we present a maximal ergodic theorem, related to a theorem of Hurewicz, which is used in theproof of the main result. ...
56p noel_noel 17012013 23 6 Download

Invariant measures for the geodesic ﬂow on the unit tangent bundle of a negatively curved Riemannian manifold are a basic and wellstudied subject. This paper continues an investigation into a 2dimensional analog of this ﬂow for a 3manifold N . Namely, the article discusses 2dimensional surfaces immersed into N whose product of principal curvature equals a constant k between 0 and 1, surfaces which are called ksurfaces.
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We classify the measures on SL(k, R)/ SL(k, Z) which are invariant and ergodic under the action of the group A of positive diagonal matrices with positive entropy. We apply this to prove that the set of exceptions to Littlewood’s conjecture has Hausdorﬀ dimension zero. 1. Introduction 1.1. Number theory and dynamics. There is a long and rich tradition of applying dynamical methods to number theory.
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Annals of Mathematics By Curtis T. McMullen* .Annals of Mathematics, 165 (2007), 397–456 Dynamics of SL2(R) over moduli space in genus two By Curtis T. McMullen* Abstract This paper classiﬁes orbit closures and invariant measures for the natural action of SL2 (R) on ΩM2 , the bundle of holomorphic 1forms over the moduli space of Riemann surfaces of genus two. Contents 1. Introduction 2. Dynamics and Lie groups 3. Riemann surfaces and holomorphic 1forms 4. Abelian varieties with real multiplication 5. Recognizing eigenforms 6. Algebraic sums of 1forms 7.
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Having a vision, a mission, and a passion are invariably seen as conditions for success. The 1995 U.S. Department of Health and Human Services (DHHS) concept of a Metropolitan Medical Response System (MMRS) demonstrated that the leaders of DHHS had a vision for an effective response to a masscasualty terrorism incident with a weapon of mass destruction. The mission was to expand the experimental model of the Metropolitan Medical Strike Team (MMST) established in Washington, D.C., and neighboring counties into a national program.
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OF INVARIANT FIBER BUNDLES FOR DYNAMIC EQUATIONS ON MEASURE CHAINS ¨ CHRISTIAN POTZSCHE AND STEFAN SIEGMUND Received 8 August 2003 m SMOOTHNESS We present a new selfcontained and rigorous proof of the smoothness of invariant ﬁber bundles for dynamic equations on measure chains or time scales. Here, an invariant ﬁber bundle is the generalization of an invariant manifold to the nonautonomous case.
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A measurement of the underlying event (UE) activity in proton–proton collisions at a centerofmass energy of 7 TeV is performed using Drell–Yan events in a data sample corresponding to an integrated luminosity of 2.2 fb−1, collected by the CMS experiment at the LHC. The activity measured in the muonic final state (qq → μ + μ −) is corrected to the particle level and compared with the predictions of various Monte Carlo generators and hadronization models.
24p giamdocamnhac 06042013 20 3 Download

Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học Critical Care giúp cho các bạn có thêm kiến thức về ngành y học đề tài: Measuring Enjoyment of Physical Activity in Older Adults: Invariance of the Physical Activity Enjoyment Scale (PACES) Across Groups and Time...
34p coxanh_8 05112011 25 2 Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành y học dành cho các bạn tham khảo đề tài: Measurement invariance of the kidney disease and quality of life instrument (KDQOLSF) across Veterans and nonVeterans
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Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa học đề tài : Measurement invariance of the kidney disease and quality of life instrument (KDQOLSF) across Veterans and nonVeterans
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Lars Ahlfors often spoke of his excitement as a young student listening to Rolf Nevanlinna's lectures on the new theory of meromorphic functions. It was, as he writes in his collected papers, his "first exposure to live mathematics." In his enormously influential research papers and in his equally influential books, Ahlfors shared with the reader, both professional and student, that excitement. The present volume derives from lectures given at Harvard over many years, and the topics would now be considered quite classical.
172p hotmoingay 04012013 21 1 Download

Magnitude of the shiftinvariant transmit and receive spatial correlation coefﬁcients compared with Jakes’ model. measured data, the expectation is replaced by an average over all time samples. The transmit and receive correlation coefﬁcients are then constructed using ρT ,q = RT ,q /RT ,0 and ρR,p = RR,p /RR,0 , respectively. Figure 1.5 shows the shiftinvariant spatial transmit and receive correlation coefﬁcient computed from the 10 × 10 data versus antenna separation p z and q z.
20p khinhkha 20072010 64 23 Download

LEASTSQUARES AND MINIMUM– VARIANCE ESTIMATES FOR LINEAR TIMEINVARIANT SYSTEMS 4.1 GENERAL LEASTSQUARES ESTIMATION RESULTS In Section 2.4 we developed (2.43), relating the 1 Â 1 measurement matrix Y n to the 2 Â 1 state vector X n through the 1 Â 2 observation matrix M as given by Y n ¼ MX n þ N n ð4:11Þ It was also pointed out in Sections 2.4 and 2.10 that this linear timeinvariant equation (i.e., M is independent of time or equivalently n) applies to more general cases that we generalize further here. Speciﬁcally we assume Y n is a 1 Â ðr...
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Recent measurements of localarea and widearea traf®c [8, 28, 42] have shown that network traf®c exhibits variability at a wide range of scales. What is striking is the ubiquitousness of the phenomenon, which has been observed in diverse networking contexts, from Ethernet to ATM, LAN and WAN, compressed video, and HTTPbased WWW traf®c [8, 15, 23, 42]. Such scaleinvariant variability is in strong contrast to traditional models of network traf®c, which show burstiness at short time scales but are essentially smooth at large time scales; that is, they lack longrange dependence. Since...
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Recent measurements of localarea and widearea traf®c [14, 22, 28] have shown that network traf®c exhibits variability at a wide range of scales. Such scaleinvariant variability is in strong contrast to traditional models of network traf®c, which show variability at short scales but are essentially smooth at large time scales; that is, they lack longrange dependence. Since selfsimilarity is believed to have a signi®cant impact on network performance [2, 15, 16], understanding the
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The recognition of gender equality as a crosscutting issue in the Paris Declaration and the OECDDAC’s gender marker system to assess the contribution of overseas development assistance (ODA) to gender equality goals have also been important contributions to greater effectiveness. With its emphasis on development effectiveness and the recognition of gender equality and the empowerment of women as critical to achieving development results, the Busan Partnership for Effective Development Cooperation also advances progress through a series of concrete commitments.
14p connicquy 20122012 29 6 Download

Under explicit diophantine conditions on (α, β) ∈ R2 , we prove that the local twopoint correlations of the sequence given by the values (m − α)2 + (n−β)2 , with (m, n) ∈ Z2 , are those of a Poisson process. This partly conﬁrms a conjecture of Berry and Tabor [2] on spectral statistics of quantized integrable systems, and also establishes a particular case of the quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms of signature (2,2). The proof uses theta sums and Ratner’s classiﬁcation of measures invariant under unipotent ﬂows. ...
54p tuanloccuoi 04012013 17 5 Download

We classify the measure theoretic attractors of general C 3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry. 1. Introduction 1.1. Statement of results. The study of measure theoretical attractors occupied a central position in the theory of smooth dynamical systems in the 1990s. Recall that a forward invariant compact set A is called a (minimal) metric attractor for some dynamics if the basin of attraction B(A) := {x : ω(x) ⊂ A} of A has positive Lebesgue measure and B(A ) has Lebesgue measure zero for every forward invariant compact set...
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For a transversal pair of closed Lagrangian submanifolds L, L of a symplectic manifold M such that π1 (L) = π1 (L ) = 0 = c1 π2 (M ) = ωπ2 (M ) and for a generic almost complex structure J, we construct an invariant with a high homotopical content which consists in the pages of order ≥ 2 of a spectral sequence whose diﬀerentials provide an algebraic measure of the highdimensional moduli spaces of pseudoholomorpic strips of ﬁnite energy that join L and L . When L and L are Hamiltonian isotopic, we show that the pages...
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In this Chapter we focus on the ﬁeldtheoretical description of the inﬂationary phase of the early universe and its postinﬂationary dynamics (reheating and particle production) in the context of supergravity, based on the original papers (1–10). To begin with, let us ﬁrst introduce some basics of inﬂation.
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