Xuan Kien Phung

activity

20172026

most citedStable finiteness of twisted group rings and noisy linear cellular automata

6 citations · 16 across the 21 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.DS2020

Shadowing for families of endomorphisms of generalized group shifts

Xuan Kien Phung

Let $G$ be a countable monoid and let $A$ be an Artinian group (resp. an Artinian module). Let $Σ \subset A^{G}$ be a closed subshift which is also a subgroup (resp. a submodule) of $…

math.GR2020

On dynamical finiteness properties of algebraic group shifts

Xuan Kien Phung

Let $G$ be a group and let $V$ be an algebraic group over an algebraically closed field. We introduce algebraic group subshifts $Σ \subset V^{G}$ which generalize both the class of al…

math.DS2020

On linear shifts of finite type and their endomorphisms

Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung

Let $G$ be a group and let $A$ be a finite-dimensional vector space over an arbitrary field $K$ . We study finiteness properties of linear subshifts $Σ \subset A^{G}$ and the dynamical…

math.DS2020

Invariant sets and nilpotency of endomorphisms of algebraic sofic shifts

Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung

Let $G$ be a group and let $V$ be an algebraic variety over an algebraically closed field $K$ . Let $A$ denote the set of $K$ -points of $V$ . We introduce algebraic sofic subshifts $…