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#1Horocycle - Wikipedia
In hyperbolic geometry, a horocycle sometimes called an oricycle, oricircle, or limit circle, is a curve whose normal or perpendicular geodesics all ...
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#2horocycle - 維基詞典，自由的多語言詞典 - Wiktionary
horocycle. 極限圓 · Cewbot最後編輯於1年前. 維基詞典. 此頁面最後編輯於2021年11月26日(星期五) 17:32。 除非另有註明，否則頁面內容均以CC BY-SA 3.0 條款授權。
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#3Hyperbolic Horocycle
In the Half-Plane model of the Hyperbolic Geometry, a horocycle is either an Euclidean line parallel to the boundary line or a circumference tangent to the ...
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#4horocycle, a curve whose normals all converge asymptotically
A horocycle in P is a circle contained in P which touches ∂P at one point (see Fig. 1). Then the horocycle flow T 1 P → T 1 P is the flow moving an unit ...
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#5Asymptotics and limit theorems for horocycle ergodic integrals ...
We derive an explicit asymptotic expansion for horocycle averages, recovering a celebrated result by Flaminio and Forni (Duke Math. J., 2003), ...
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#6On the differentiability of horocycles and horocycle foliations
1987 On the differentiability of horocycles and horocycle foliations. W. Ballmann, M. Brin, K. Burns · DOWNLOAD PDF + SAVE TO MY LIBRARY.
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#7Rigidity of Horocycle Flows - JSTOR
The horocycle flow ht is ergodic and mixing on (M, pj), in fact mixing of all degrees [2]. Let Tr (D, Mi =T'\G, i= 1,2. We say that A: M1 -> M2 ...
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#8Horocycle - Wikiwand
In hyperbolic geometry, a horocycle 'border', and κύκλος 'circle'), sometimes called an oricycle, oricircle, or limit circle, is a curve whose normal or ...
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#9Horocycle flows are loosely Bernoulli | SpringerLink
It is proved that horocycle flows associated with transitiveC 2-Anosov flows are loosely Bernoulli with respect to their unique ergodic measures.
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#10J. Smillie - Horocycle dynamics (Part 2) - Canal U
A major challenge in dynamics on moduli spaces is to understand the behavior of the horocycle flow. We will motivate this problem and discuss what is known ...
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#11What does Horocycle mean? - Definitions.net
In hyperbolic geometry, a horocycle is a curve whose normal geodesics all converge asymptotically. It is the two-dimensional example of a horosphere. A ...
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#12The Horocycle flow from a Hamiltonian viewpoint
In chapter 4 we recall the basic properties of the hyperbolic plane and of its geodesic and horocycle flows; we also sketch the proof of the classic theorem ( ...
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#13The horocycle flow on the moduli space of translation surfaces
Barak Weiss, Jon Chaika: The horocycle flow on the moduli space of translation surfaces. 388 views 8 months ago.
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#14Horocycle -- from Wolfram MathWorld
The locus of a point which is derived from a fixed point Q by continuous parallel displacement.
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#15Asymptotic behavior of periodic orbits of the horocycle flow ...
Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series. Peter Sarnak,. Peter Sarnak. To Rufus Bowen in Memoriam.
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#16Hypercycles and Horocycles
There is a curve peculiar to hyperbolic geometry, called the horocycle. Consider two limiting parallel lines, l and m, with a common direction, ...
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#17Spectral properties of horocycle flows for compact surfaces of ...
Keywords : Horocycle flow, Anosov flow, strong mixing, continuous spectrum, commutator methods. REFERENCES. [1] W. O. Amrein, A. Boutet de Monvel, and V.
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#18Geodesics and horocycles on a surface of constant negative ...
The horocycle flow is minimal and uniquely ergodic. It has entropy zero (so not especially chaotic), yet is strongly mixing and even has Lebesgue spectrum. The ...
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#19Horocycle flows on surfaces with infinite genus
We discuss the ergodic theory of horocycle flows on hyperbolic surfaces ... ergodic invariant Radon measure for the horocycle flow on a tame surface arises.
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#20The horocycle flow at prime times - ScienceDirect
We prove that the orbit of a non-periodic point at prime values of the horocycle flow in the modular surface is dense in a set of positive measure.
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#21Ergodic properties of horocycle flows for surfaces of negative ...
Ergodic properties of horocycle flows for surfaces of negative curvature. Pages 81-105 from Volume 105 (1977), Issue 1 by Brian Marcus ...
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#22HYPERBOLIC GEOMETRY
a horocycle, then A,B divide into a finite and two infinite arcs. These behave like the minor and major arcs of a circle. We prove the relevant results.
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#23Adic Flows, Transversal Flows, and Horocycle Flows
Adic Flows, Transversal Flows, and Horocycle Flows was published in Ergodic Theory and Dynamical Systems on page 241.
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#24The Horocycle Flow is Mixing of all Degrees. - EUDML
Marcus, Brian. "The Horocycle Flow is Mixing of all Degrees.." Inventiones mathematicae 46 (1978): 201-210. <http://eudml.org/doc/142560>.
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#25B. M. Gurevich, “The entropy of horocycle flows”, Dokl. Akad ...
\paper The entropy of horocycle flows \jour Dokl. Akad. Nauk SSSR \yr 1961 \vol 136 \issue 4 \pages 768--770 \mathnet{http://mi.mathnet.ru/dan24575}
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#26On the deviation of ergodic averages for horocycle flows
In this case the dynamics of the horocycle flow is more complicated than for cocompact Γ, due to the presence of closed horocycles. Since the closed horocycles ...
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#27The horocycle flow without minimal sets - Numdam
The horocycle flow without minimal sets. ✩. M. Kulikov. Theory of Dynamical Systems, Mathematics Department, Moscow State University, Moscow, 119992, ...
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#28Horocycle integral and transfer operators
This horocycle flow is uniquely ergodic. What is the speed of convergence to the Birkhoff average? In a paper of Livio Flaminio and Giovanni Forni (2003) they ...
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#29horocycle 中文- 英文词典 - wordow.com
在中文里面，我们如何解释horocycle这个英文词呢？ horocycle这个英文词，中文意思如下：A curve in hyperbolic geometry whose normals all converge asymptotically.
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#30Horocycle | 4463 Citations | Top Authors | Related Topics
Horocycle is a(n) research topic. ... symbolic dynamics, and hyperbolic spaces, Invariant distributions and time averages for horocycle flows and more.
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#31Dynamics of Geodesic and Horocyclic Flows - HAL
prove results on the topological dynamics of the horocycle flow, and then discuss invariant measures and ergodic properties.
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#32horocycle: meaning - WordSense Dictionary
Dictionary entries. Entries where "horocycle" occurs: horocycles: horocycles (English) Noun horocycles Plural of horocycle.
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#33Factors of horocycle flows | Ergodic Theory and Dynamical ...
We classify up to an isomorphism all factors of the classical horocycle flow on the unit tangent bundle of a surface of constant negative curvature with ...
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#35Quantitative equidistribution of horocycle push-forwards of ...
In the case of the horocycle flow (both in constant and in variable negative curvature, as well as for its smooth time-changes), this has been ...
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#36The horocycle flow on the moduli space of translation surfaces
This implies that there are dense orbits for the horocycle flow and the geodesic flow, and that these flows are both mixing. • Veech [37] gave examples of Z/2Z ...
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#37Quantitative equidistribution of horocycle push ... - EMS Press
As a corollary, we provide an alternative proof of Ratner's theorem on quantitative mixing for the horocycle flow.
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#38horocycle - 英语_读音_用法_例句_海词词典
海词词典,最权威的学习词典,为您提供horocycle的在线翻译,horocycle是什么意思,horocycle的真人发音,权威用法和精选例句等。
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#3913.3: Circles, Horocycles, and Equidistants
A horocycle might be considered as a limit of circles thru a fixed point with the centers running to infinity along a line. The same horocycle ...
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#40Horocycle flow - Encyclopedia of Mathematics
A flow in the space of bihedra of an n-dimensional Riemannian manifold Mn (usually closed) for which the concept of a horocycle is defined; the ...
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#41Smoothness of horocycle foliations - eScholarship
Author(s): Hirsch, MW; Pugh, CC | Abstract: The geodesic flow on the unit tangent bundle of a Riemannian manifold M is smooth.if the curvature of M is ...
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#42HOROCYCLE FLOWS ON CERTAIN SURFACES WITHOUT ...
horocycle flow {h,} in the unit tangent bundle SM of a complete two dimensional Riemannian manifold M without conjugate points that satisfies.
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#43Horocycle function is not an isometry - Math Stack Exchange
I presume, from the picture and the notation, that the distance along the horocycle that one moves when going from p to fa,ϵ(p) is equal to ...
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#44Magnetic rigidity of horocycle flows
Mañé-critical and uniquely ergodic it must be the horocycle flow. As a byproduct we show the existence of closed magnetic geodesics for.
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#45The Generic Points for the Horocycle Flow on a Class of ...
The generic points for horocycle flows on hyperbolic surfaces of finite genus are understood, but there are no results in infinite genus.
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#46ERGODICITY OF THE HOROCYCLE FLOW - World Scientific
We prove that ergodicity of the horocycle flow on a surface of constant negative curvature is equivalent to ergodicity of the associated boundary action.
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#47A divergent horocycle in the horofunction compactification of ...
This is deduced from a more general criterion for convergence along mapping class group. ANNALES DE L'INSTITUT FOURIER. Page 3. A DIVERGENT HOROCYCLE IN THE ...
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#48[PDF] Horocycle flow on geometrically finite surfaces
We classify the ergodic invariant Radon measures for the horocycle flow on geometrically infinite regular covers of compact hyperbolic ...
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#49Horocycle Flows without Minimal Sets
Kulikov [9] constructed an example of the horocycle flow of an open hyperbolic surface with this property. This is interesting since horocycle flows have long ...
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#50Horocycle png images | PNGWing
Circle, Horocycle, Horosphere, Hyperbolic Geometry, Euclidean Geometry, Normal, Point, Curvature, Horocycle, Horosphere, Hyperbolic Geometry png 1200x1200px ...
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#51Horocycle Flow at Prime Times
primes”. More generally to solve the linear equation ax1 + bx2 + cx3 = d, xj primes. Peter Sarnak. Mahler Lectures 2011. Horocycle Flow at Prime Times ...
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#52Horocycle - Wikipedia, the free encyclopedia - Pinterest
Horocycle - Wikipedia, the free encyclopedia Math Visuals, Geometric Art, Geometric Patterns,. Visit. Save. From. en.wikipedia.org ...
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#53horocycle - 用法_例句_英语短语 - 沪江网校
沪江词库精选horocycle是什么意思、英语单词推荐、中英文句子翻译、英语短语、英音发音音标、美音发音音标、horocycle的用法、horocycle是什么意思、翻译horocycle是 ...
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#54Horocyclic flow - Encycla
... the unit tangent bundle of the surface that moves tangent vectors sideways along the horocycle whose center is in the direction of the tangent vector.
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#55File:Horocycle-based coordinate system.svg
English: Illustrating the horocycle coordinate system, which uses the distance from the point to the horocycle through the origin centered ...
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#56Horocycle (1)
17 Horocycle (1). We got a circle when the hemisphere was sliced with the Hinge Axis was located outside the hemisphere, and we got an equidistant line when ...
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#57About: Horocycle - DBpedia
In hyperbolic geometry, a horocycle (from Greek ὅριον (hórion) 'border', and κύκλος (kúklos) 'circle'), sometimes called an oricycle, oricircle, ...
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#58Growth and nodal current of complexified horocycle ...
We study horocycle eigenfunctions at Lobachevsky plane. These are functions u : H = C + = { z ∈ C : ℑ z > 0 } → C such that ( − y 2 ...
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#59Poincaré Section for the Horocycle Flow on the Space of Lattices
The main result (Theorem 1.1) of this paper displays the horocycle flow as a suspension flow over the BCZ map, which was constructed by Boca et al. [7] in their ...
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#60horocycle - definition and meaning - Wordnik
horocycle : A curve in hyperbolic geometry whose normals all converge asymptotically .
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#61horocycle是什么意思? horocycle翻译(中文英文) - 抓鸟
horocycle 的解释是：极限圆… 同时，该页为英语学习者提供：horocycle的中文翻译、英英详解、单词音标、在线发音、例句等。
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#62Horocycle flows for laminations by hyperbolic Riemann ...
Title · DOI · Publication date · Type · Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology · LIMIT THEOREMS FOR ...
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#63horocycle correspondence in nLab
1. Idea. In geometric representation theory the horocycle correspondence for G G a complex reductive group and ...
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#64On the deviation of ergodic averages for horocycle flows
Horocycle flow,; effective equidistribution,; small eigenvalues. Mathematics Subject Classification: Primary: 37D40; Secondary: 30F35.
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#65horocycle的中文解释和发音 - 欧路词典
『欧路词典』为您提供horocycle的用法讲解，告诉您准确全面的horocycle的中文意思，horocycle的读音，horocycle的同义词，horocycle的反义词，horocycle的例句。
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#66Magnetic rigidity of horocycle flows - DPMMS
This characterization of horocycle flows implies that if the magnetic flow of a pair (g, Ω) is C1-conjugate to the horocycle flow of a hyperbolic metric ¯g ...
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#67ERGODICITY OF THE HOROCYCLE FLOW - CiteSeerX
We prove that ergodicity of the horocycle ow on a surface of constant negative curvature is equivalent to ergodicity of the associated boundary action. As a.
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#68Dynamics of geodesic and horocyclic flows
A horocycle is a (euclidean) circle tangent to the boundary, or a horizontal line, in the model of the upper half-plane. We can lift it to the ...
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#69Horocycle flows on Abelian covers of hyperbolic surfaces
The horocycle flow on the unit tangent bundle of a surface of constant negative curvature is the unit speed translation along the stable leaves of the geodesic ...
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#70Handbook of Teichmüller Theory - 第 1 卷 - 第 665 頁 - Google 圖書結果
horocycle at A is an orbit of a subgroup of PSL ( 2 , R ) stabilising A. A horocycle at the point A € RC RP1 is a Euclidean circle belonging to the upper ...
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#71Laplacian Eigenspaces, Horocycles and Neuron Models on ...
We use hyperbolic Poisson kernel to construct the horocycle neuron model on hyperbolic spaces, which is a spectral generalization of the classical neuron ...
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#72Horocycle - Verse and Dimensions Wikia - Fandom
A horocycle is an curve infinite in length within a hyperbolic plane such that any two non-coincident lines that are perpendicular bisectors of the curve ...
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#73A note on Hölder regularity of invariant distributions for ...
Horocycle invariant distributions according to Flaminio and Forni. The horocycle flow on the unit tangent bundle of a compact hyperbolic surface is a very.
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#74invariant distributions and time averages for horocycle flows
Horocycle Flow, Cohomology of flows, Ergodic averages. † Alfred P. Sloan Research Fellow. G. Forni was supported by NSF grant # DMS-9704791. 1 ...
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#75Horocycle GIFs - Get the best GIF on GIPHY
Explore and share the best Horocycle GIFs and most popular animated GIFs here on GIPHY. Find Funny GIFs, Cute GIFs, Reaction GIFs and more.
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#76Asymptotic windings of horocycles - UMD Math
We study the winding of horocycle flows on hyperbolic surfaces of finite area, extending our earlier work [DS17] which treated the compact case. The winding of.
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#77Limit Theorems for Horocycle Flows
Une formule asymptotique pour les intégrales ergodiques des flots horocycliques est ensuite établie en termes des mesures additives, et les théorèmes limites en ...
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#78Horocycle Dynamics: New Invariants and Eigenform Loci in the ...
In this Memoir we will show that every result for the horocycle flow in SL2 pRq{Γ has an analog for eigenform loci. In Theorem 1.1 we prove a classification ...
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#79horocycle.png
The horocycle is a most unusual curve. It is a circle of radius infinity, the surface of it has Euclidean geometry. In the poincoire projection that Tyler ...
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#80几何有限双曲曲面上循环流的有效均衡分布 - X-MOL
Effective Equidistribution of the Horocycle Flow on Geometrically Finite Hyperbolic Surfaces · International Mathematics Research Notices ( IF 1.530 ) Pub ...
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#81Mixing of the SL2(R) action; Rigidity of the horocycle flow I.
Lecture 11: Mixing of the SL2(R) action;. Rigidity of the horocycle flow I. Boris Solomyak. Bar-Ilan University. January 3, 2021. Boris Solomyak (Bar-Ilan ...
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#82Asymptotics and limit theorems for horocycle ergodic integrals ...
Asymptotics and limit theorems for horocycle ergodic integrals à la Ratner (with an appendix by Emilio Corso) [Asymptotiques et théorèmes limites pour ...
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#83Dynamics of the horocycle flow for homogeneous and ... - ICMAT
Hedlund's Theorem on the minimality of the horocycle flow on the unitary tangent bundle X = Γ\PSL(2,R) of a compact hyperbolic surface S = Γ\H.
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#84A note on Hölder regularity of invariant distributions for ...
We show that the invariant distributions for the horocycle flow on ... distributions and time averages for horocycle flows Duke Math.
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#85Curves of HyperRogue
A horocycle is a limit curve that has no Euclidean equivalent. In Poincaré projection, horocycles show as circles that touch the horizon.
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#86On Cross Sections to the Horocycle and Geodesic Flows ... - IRIF
The classical Boca-Cobeli-Zaharescu map. 2. CFs for Hecke triangle groups Gq. 3. Cross-sections to the horocycle flow on SL(2,R)/Gq.
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#87Unique ergodicity of the horocycle flow on Riemannnian ...
The horocycle flow has been previously studied on minimal foliations by hyperbolic surfaces on closed manifolds, where it is known not to be minimal in general.
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#88Joining Measures for horocycle flows on abelian covers
A celebrated result of Ratner from the eighties says that two horocycle flows on hyperbolic surfaces of finite area are either the same up ...
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#89Möbius conjecture for smooth time changes of horocycle flows
Theorem (Bourgain-Sarnak-Ziegler, 2011). The time-1 map of the horocycle flow on the tangent unit bundle of a hyperbolic surface corroborates Sarnak's ...
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#90Horocycle flow on flat projective bundles - NASA/ADS
In this paper we study some topological and measurable aspects of the dynamics of the foliated horocycle flow on flat projective bundles over hyperbolic ...
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#91Asymptotics and limit theorems for horocycle ergodic integrals ...
In this talk I will present a simple method, inspired by the works of Ratner and Burger, to study ergodic integrals for the classical horocycle ...
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#92rate of equidistribution of the horocycle flow for SL(2,Z)
A standard reference for this kind of thing for congruence subgroups is Iwaniec's "Spectral Methods of Automorphic Forms". Let Γ=Γ0(q).
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#93The horocycle flow is mixing of all orders - Joel Moreira's
1. Introduction — The main purpose of this post is to present a proof, due to Brian Marcus, that the horocycle flow is mixing of all orders.
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