33 citations · 192 across the 30 of their papers we have counts for
30 papers
Commuting integrable maps from a deformed D cluster algebra
A. N. W. Hone, W. Kim, T. Mase
In this paper we revisit an integrable map of the plane which we obtained recently as a two-parameter family of deformed mutations in the cluster algebra of type D. The rationa…
A study on the domain independence of the Laurent property, the irreducibility and the coprimeness in lattice equations
Takafumi Mase
We study the Laurent property, the irreducibility and the coprimeness for lattice equations (partial difference equations), mainly focusing on how the choice of initial value probl…
Singularities and growth of higher order discrete equations
Ralph Willox, Takafumi Mase, Alfred Ramani +1
We study the link between the degree growth of integrable birational mappings of order higher than two and their singularity structures. The higher order mappings we use in this st…
New cluster algebras from old: integrability beyond Zamolodchikov periodicity
Andrew N. W. Hone, Wookyung Kim, Takafumi Mase
We consider discrete dynamical systems obtained as deformations of mutations in cluster algebras associated with finite-dimensional simple Lie algebras. The original (undeformed) d…
Exact calculation of degrees for lattice equations: a singularity approach
Takafumi Mase
The theory of degree growth and algebraic entropy plays a crucial role in the field of discrete integrable systems. However, a general method for calculating degree growth for latt…
Deautonomisation by singularity confinement and degree growth
Alexander Stokes, Takafumi Mase, Ralph Willox +1
In this paper we give an explanation of a number of observations relating to degree growth of birational mappings of the plane and their deautonomisation by singularity confinement…