entropy of geodesic flows on subspaces of hecke surface with arithmetic code

Authors

sanaz lamei

department of mathematical sciences, guilan university

abstract

there are di erent ways to code the geodesic flows on surfaces with negative curvature. such code spaces give a useful tool to verify the dynamical properties of geodesic flows. here we consider special subspaces of geodesic flows on hecke surface whose arithmetic codings varies on a set with in nite alphabet. then we will compare the topological complexity of them by computing their topological entropies.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

ENTROPY OF GEODESIC FLOWS ON SUBSPACES OF HECKE SURFACE WITH ARITHMETIC CODE

There are dierent ways to code the geodesic flows on surfaces with negative curvature. Such code spaces give a useful tool to verify the dynamical properties of geodesic flows. Here we consider special subspaces of geodesic flows on Hecke surface whose arithmetic codings varies on a set with innite alphabet. Then we will compare the topological complexity of them by computing their topological ...

full text

Geodesic Flows with Positive Topological Entropy, Twist Maps and Hyperbolicity

We prove a perturbation lemma for the derivative of geodesic flows in high dimension. This implies that a C generic riemannian metric has a non-trivial hyperbolic basic set in its geodesic flow.

full text

Topological Entropy for Geodesic Flows under a Ricci Curvature Condition

It is known that the topological entropy for the geodesic flow on a Riemannian manifoldM is bounded if the absolute value of sectional curvature |KM | is bounded. We replace this condition by the condition of Ricci curvature and injectivity radius.

full text

Integrable Geodesic Flows on Surfaces

We propose a new condition א which enables to get new results on integrable geodesic flows on closed surfaces. This paper has two parts. In the first, we strengthen Kozlov’s theorem on non-integrability on surfaces of higher genus. In the second, we study integrable geodesic flows on 2-torus. Our main result for 2-torus describes the phase portraits of integrable flows. We prove that they are e...

full text

effect of oral presentation on development of l2 learners grammar

this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...

15 صفحه اول

azerbaijans political development after the collapse of soviet union and implication on relation with the islamic republic of iran

در فصل اول این پایاین نامه در خصوص تاریخ کشور اذربایجان قبل و بعد از جدایی این کشور از ایران مورد بررسی قرار گرفته است ودر فصل دوم تحولات سیاسی این کشور بعد از 1991 و در واقع بعد از فروپاشی شوروی و دولتهایی که روی کار امدند در از جمله دولت ابولفضل ایلچی بیگ،دولت حیدر علی اف وبعد از او پسرش الهام علی اف و نگرش هرکدام از این دولتها به سیاسیت خارجی اذربایجان مورد اشاره قرار گرفته است.در ودر فصل سو...

My Resources

Save resource for easier access later


Journal title:
journal of mahani mathematical research center

جلد ۵، شماره ۱، صفحات ۱-۷

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023