منابع مشابه
Kneading Theory for Triangular Maps
Abstract. The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices corresponding to the one-dimensional basis map and fiber map. We also define a Markov partition by rectangles for the phase space of these maps. A direct consequence of these results is the rigorous computati...
متن کاملPeriods for Holomorphic Maps via Lefschetz Numbers
In this note we are concerned with fixed point theory for holomorphic self maps on complex manifolds. After the well-known Schwarz lemma on the unit disk, which assumes a fixed point, the Pick theorem was proved in [8]. This can be extended to a Pick-type theorem on hyperbolic Riemann surfaces as is shown in [5, 7]. For a more general type of space: open, connected and bounded subsets of a Bana...
متن کاملElementary Maps on Triangular Algebras
In this note we prove that elementary surjective maps on triangular algebras are automatically additive. The study of elementary maps was initiated by Brešar and Šerml. Following ([1]), elementary maps are defined as follows. Definition 1. Let R and R be two rings. Suppose that M : R → R and M : R → R are two maps. Call the ordered pair (M,M) an elementary map of R×R if
متن کاملPeriods for Transversal Maps via Lefschetz Numbers for Periodic Points
Let / : M —» M be a C1 map on a C1 differentiate manifold. The map f is called transversal if for all m £ N the graph of fm intersects transversally the diagonal of M x M at each point (x, x) such that x is a fixed point of fm . We study the set of periods of / by using the Lefschetz numbers for periodic points. We focus our study on transversal maps defined on compact manifolds such that their...
متن کاملPeriods of discretized linear Anosov maps
Integer m m-matrices A with determinant 1 de ne di eomorphisms of the m-dimensional torus Tm = (IR= Z)m into itself. Likewise, they de ne bijective self-maps of the discretized tori ( Z=n Z)m = ( Zn)m. We present estimates of the surprisingly low order (or period) PerA(n) of the iteration Ar; r = 1; 2; 3; . . ., on the discretized torus ( Zn)m. We obtain PerA(n) 3n for dimension m = 2. In the s...
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: Bulletin of the Australian Mathematical Society
سال: 1993
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700012247