The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On some issues concerning polynomial cycles”

On the dynamics of ϕ : x → x p + a in a local field

David Adam, Youssef Fares (2010)

Actes des rencontres du CIRM

Similarity:

Let K be a local field, a ∈ K and ϕ : x → x p + a where p denotes the characteristic of the residue field. We prove that the minimal subsets of the dynamical system ( K , ϕ ) are cycles and describe the cycles of this system.

Envelopes of holomorphy for solutions of the Laplace and Dirac equations

Martin Kolář (1991)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in 𝐂 n are studied. First, geometric description of envelopes of holomorphy over domains in 𝐄 n is given. In more general case, solutions can be continued by integral formulas using values on a real n - 1 dimensional cycle in 𝐂 n . Sufficient conditions for this being possible are formulated.

On automorphisms of digraphs without symmetric cycles

Piotr Wójcik (1996)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

A digraph is a symmetric cycle if it is symmetric and its underlying graph is a cycle. It is proved that if D is an asymmetric digraph not containing a symmetric cycle, then D remains asymmetric after removing some vertex. It is also showed that each digraph D without a symmetric cycle, whose underlying graph is connected, contains a vertex which is a common fixed point of all automorphisms of D .