Pakin Methawisal

collaborators

3 papers

math.CO2026

Poisson laws and exterior stability for random alternating tensors

Pakin Methawisal

For fixed $k \geq 3$ , we determine the critical law of totally isotropic $r$ -spaces for a uniform random map $Θ_{N} : Λ^{k} F_{q}^{N} \to F_{q}^{m}$ . At the exact balance $m\binom…

math.CO2026

Unit Actions on Homometric Five-Point Subsets of Cyclic Groups: Orbit and fixed-point refinement of the seven-family classification

Pakin Methawisal

Erickson and Jones classified the nontrivial homometry classes of five-point binary bracelets into seven families, Types A-G, and conjectured that each family is invariant under mu…

math.CO2026

Pulse Graphs: Prime-Activated Boolean Dynamics on Directed Graphs

Pakin Methawisal

We study synchronous Boolean dynamics on finite loopless directed graphs in which a vertex is active at the next time step exactly when its number of active in-neighbors is prime.…