BOUNDED ORBITS OF POSITIVELY BOUNDED SYSTEMS

نویسندگان

چکیده

منابع مشابه

Bounded Orbits Conjecture and Diophantine Approximation

We describe and generalize S.G. Dani’s correspondence between bounded orbits in the space of lattices and systems of linear forms with certain Diophantine properties. The solution to Margulis’ Bounded Orbit Conjecture is used to generalize W. Schmidt’s theorem on abundance of badly approximable systems of linear forms.

متن کامل

p-Lambda-bounded variation

A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.

متن کامل

Transductionally Bounded Hierarchical Systems

Using a hierarchical-systems analysis, this paper supports the orthodox view of the mind. We claim that the orthodox mind – bounded by brains or bodies – is organized into various system levels, each of which is emergent from the dynamics of level below it. We see the extended mind hypothesis as borrowing terms from a high-level system of the orthodox mind and applying it to interactions betwee...

متن کامل

Bounded Orbits of Nonquasiunipotent Flows on Homogeneous Spaces

Let {gt} be a nonquasiunipotent one-parameter subgroup of a connected semisimple Lie group G without compact factors; we prove that the set of points in a homogeneous spaceG/Γ (Γ an irreducible lattice inG) with bounded {gt}-trajectories has full Hausdorff dimension. Using this we give necessary and sufficient conditions for this property to hold for any Lie group G and any lattice Γ in G.

متن کامل

Geometry of turbulence in wall-bounded shear flows: periodic orbits

The dynamical theory of moderate Reynolds number turbulence triangulates the infinite-dimensional Navier-Stokes state space by sets of exact solutions (equilibria, relative equilibria, periodic orbits, ...) which form a rigid backbone which enables us to describe and predict the sinuous motions of a turbulent fluid. We report determination of a set of unstable periodic orbits from close recurre...

متن کامل

ذخیره 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: Glasgow Mathematical Journal

سال: 2004

ISSN: 0017-0895,1469-509X

DOI: 10.1017/s0017089503001502