All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 32 Next

Displaying 621 – 640 of 694

Showing per page

Properties of digraphs connected with some congruence relations

J. Skowronek-Kaziów (2009)

Czechoslovak Mathematical Journal

The paper extends the results given by M. Křížek and L. Somer, On a connection of number theory with graph theory, Czech. Math. J. 54 (129) (2004), 465–485 (see [5]). For each positive integer n define a digraph Γ ( n ) whose set of vertices is the set H = { 0 , 1 , ⋯ , n - 1 } and for which there is a directed edge from a ∈ H to b ∈ H if a 3 ≡ b ( mod n ) . The properties of such digraphs are considered. The necessary and the sufficient condition for the symmetry of a digraph Γ ( n ) is proved. The formula for the number of fixed points of Γ ( n ) is established....

Properties of Wiener-Wintner dynamical systems

I. Assani, K. Nicolaou (2001)

Bulletin de la Société Mathématique de France

In this paper we prove the following results. First, we show the existence of Wiener-Wintner dynamical system with continuous singular spectrum in the orthocomplement of their respective Kronecker factors. The second result states that if f ∈ L p , p large enough, is a Wiener-Wintner function then, for all γ ∈ ( 1 + 1 2 p - β 2 , 1 ] , there exists a set X f of full measure for which the series ∑ n = 1 ∞ f ( T n x ) e 2 π i n ϵ n γ converges uniformly with respect to ϵ .

Currently displaying 621 – 640 of 694