On discontinuous transitive maps and dense orbits

On topological transitive maps on operator algebras

We consider the transitive linear maps on the operator algebra $B(X)$for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitivelinear map without being hypercyclic in the strong operator topology.

on topological transitive maps on operator algebras

we consider the transitive linear maps on the operator algebra $b(x)$for a separable banach space $x$. we show if a bounded linear map is norm transitive on $b(x)$,then it must be hypercyclic with strong operator topology. also we provide a sot-transitivelinear map without being hypercyclic in the strong operator topology.

Transitive Signatures Based on Bilinear Maps

The notion of transitive signature, firstly introduced by Micali and Rivest, is a way to digitally sign the vertices and edges of a dynamically growing, transitively closed graph. All the previous proposed transitive signature schemes were constructed from discrete logarithm, factoring, or RSA assumption. In this paper, we introduce two alternative realizations of transitive signature based on ...

On Finite Point Transitive Affine Planes with Two Orbits

Covalence sequences of transitive plane tessellations and transitive maps on surfaces

A covalence sequence of a vertex-transitive map is a cyclic sequence of covalences around a vertex of the map. We explain the algebraic background for a study of the relationship between covalence sequences of maps on compact orientable surfaces and covalence sequences of (infinite) plane tessellations that both exhibit the same ‘level of transitivity’ of automorphism groups on vertices or edges.