منابع مشابه
dedekind modules and dimension of modules
در این پایان نامه، در ابتدا برای مدول ها روی دامنه های پروفر شرایط معادل به دست آورده ایم و خواصی از ددکیند مدول ها روی دامنه های پروفر مشخص کرده ایم. در ادامه برای ددکیند مدول های با تولید متناهی روی حلقه های به طور صحیح بسته شرایط معادل به دست آورده ایم و ددکیند مدول های ضربی را مشخص کرده ایم. گزاره هایی در مورد بعد ددکیند مدول ها بیان کرده ایم. در پایان، قضایای lying over و going down را برا...
15 صفحه اولOrbits of Certain Endomorphisms of Nilmanifolds and Hausdorff Dimension
Let R be an element of GL(n, R) having integer entries and let ρ : T n −→T n denote the induced map on the torus T n = R n /Z n. It is well known that ρ is ergodic with respect to the Haar measure on T n if and only if none of the eigenvalues of R is a root of unity. Dani has shown that there 2000 A.M. exists a subset S of T n such that for any x ∈ S and any semisimple surjective endomorphism ρ...
متن کاملDimension Reduction Near Periodic Orbits of Hybrid Systems: Appendix
When the Poincaré map associated with a periodic orbit of a hybrid dynamical system has constant-rank iterates, we demonstrate the existence of a constant-dimensional invariant subsystem near the orbit which attracts all nearby trajectories in finite time. This result shows that the longterm behavior of a hybrid model with a large number of degrees-of-freedom may be governed by a low-dimensiona...
متن کاملEstimating dimension of inertial manifold from unstable periodic orbits
X. Ding, H. Chaté, 3 P. Cvitanović, E. Siminos, and K. A. Takeuchi Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430, USA Service de Physique de l’Etat Condensé, CEA, CNRS, Université Paris-Saclay, 91191 Gif-sur-Yvette, France Beijing Computational Science Research Center, Beijing 100094, China Department of Physics, Chalmers University of ...
متن کاملOn the fractal dimension of orbits compatible with Tsallis statistics
In a previous paper (1) it was shown how, for a dynamical system, the probability distribution function of the sojourn–times in phase–space, defined in terms of the dynamical orbits (up to a given observation time), induces unambiguously a statistical ensemble in phase–space. In the present paper it is shown which is the p.d.f. of the sojourn–times corresponding to a Tsallis ensemble (this, by ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1958
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1958-0100272-7