2 papers
math.RA2026
Mutation-preserving generalized cluster algebras and Laurent mutation invariants
Zhichao Chen, Yimin Huang
We introduce mutation-preserving generalized cluster algebras, for which the generalized cluster mutation in each direction is independent of the seed in the mutation equivalence c…
math.NT2025
Tropicalization and cluster asymptotic phenomenon of generalized Markov equations
Zhichao Chen, Zelin Jia
The generalized Markov equations are deeply connected with the generalized cluster algebras of Markov type. We construct a deformed Fock-Goncharov tropicalization for the generaliz…