Recent advances in the study of automorphism groups within graph theory have yielded significant theoretical and applied insights. At its core, the interplay between the algebraic structure of groups ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...

It is not known whether or not the stable rational cohomology groups H̃* (Aut(F∞); ℚ) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it ...

We investigate some connections between the Fraïssé theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable ...