Limit Distributions of Polynomial Trajectories on Homogeneous Spaces
نویسنده
چکیده
منابع مشابه
Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations
We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and are homogeneous polynomials of degree i. Inside this class of polynomial differential equation we consider a subclass of Darboux integrable systems. Moreover, under additional conditions we proved such Darboux integrable systems can have at most 1 limit cycle.
متن کاملOn Weight Distributions of Homogeneous Metric Spaces Over GF (p) and MacWilliams Identity
We introduce in this paper the notion homogeneous metric space on the Galois field GF (p) , where p is a prime natural number. We show that homogeneous weight enumerators of some linear codes over GF (p) are Hamming weight enumerators of some of their p-ary images. It is also proved that in some cases, the MacWilliams Identity holds for homogeneous metric spaces.
متن کاملHeat Kernel Generated Frames in the Setting of Dirichlet Spaces
Wavelet bases and frames consisting of band limited functions of nearly exponential localization on R are a powerful tool in harmonic analysis by making various spaces of functions and distributions more accessible for study and utilization, and providing sparse representation of natural function spaces (e.g. Besov spaces) on R . Such frames are also available on the sphere and in more general ...
متن کاملBounded 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 کاملHereditarily Homogeneous Generalized Topological Spaces
In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.
متن کامل