Rui-Jun Wang

activity

20242026

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Showing 2026 · math.LOShow all

4 papers · 2 filters

math.LO2026

Continuous graph homomorphisms of higher dimensional abelian group actions

Ruijun Wang

For every fixed integer $d \geq 2$ , we prove that the finite graphs receiving a continuous homomorphism from the standard Schreier graph $F (2^{Z^{d}})$ form a $Σ_{1}^{0}$ -complete…

math.LO2026

Finite Borel asymptotic dimension of bounded-to-one commutative monoid actions

Ruijun Wang

We prove that every bounded-to-one action of a finitely generated commutative monoid has finite asymptotic dimension, without a freeness assumption. If the group completion has tor…

math.LO2026

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations

Ruijun Wang

We show that a Borel graph generated by finitely many bounded-to-1 commuting functions is hyperfinite. This recovers a theorem in the forthcoming paper by Naryshkin, Shinko, Weilac…

math.LO2026

The continuous oriented chromatic number of directed Schreier graphs of $Z^{2}$ -shift actions

Ruijun Wang

Let $F (2^{Z^{2}})$ be the directed Schreier graph on the free part of the Bernoulli shift $Z^{2} ↷ 2^{Z^{2}}$ , with arcs in the two coordinate…

Continuous graph homomorphisms of higher dimensional abelian group actions

Finite Borel asymptotic dimension of bounded-to-one commutative monoid actions

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations

The continuous oriented chromatic number of directed Schreier graphs of Z2-shift actions

The continuous oriented chromatic number of directed Schreier graphs of $Z^{2}$ -shift actions