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math-ph2015
Components of Invariant Variety of Periodic Points and Fundamental Domains of Recurrence Equation
Tsukasa Yumibayashi
In this paper, we discuss duality about components of invariant variety of periodic points(IVPP) and fundamental domain of recurrence equation, and present an algorithm for the der…
math-ph2013★ 1 cited
Singularity Confinement and Projective Resolution of Triangulated Category
Satoru Saito, Tsukasa Yumibayashi, Yuki Wakimoto
We proposed, in our previous paper, to characterize the Hirota-Miwa equation by means of the theory of triangulated category. We extend our argument in this paper to support the id…
math-ph2011★ 4 cited
Derivation of Invariant Varieties of Periodic Points from Singularity Confinement in the case of Toda Map
Tsukasa Yumibayashi, Satoru Saito, Yuki Wakimoto
In our previous work we have shown that the invariant varieties of periodic points (IVPP) of all periods of the 3 dimensional Lotka-Volterra map can be derived, iteratively, from t…