29 citations · 287 across the 41 of their papers we have counts for
3 papers · 2 filters
Calculating the algebraic entropy of mappings with unconfined singularities
Alfred Ramani, Basil Grammaticos, Ralph Willox +2
We present a method for calculating the dynamical degree of a mapping with unconfined singularities. It is based on a method introduced by Halburd for the computation of the growth…
A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E group
Ralph Willox, Alfred Ramani, Basil Grammaticos
We present a systematic and quite elementary method for constructing discrete Painlevé equations in the degeneration cascade for E. Starting from the invariant for the au…
Multiplicative equations related to the affine Weyl group E
Basil Grammaticos, Alfred Ramani, Ralph Willox +1
We derive integrable equations starting from autonomous mappings with a general form inspired by the multiplicative systems associated to the affine Weyl group E. Five su…