4 citations · 4 across the 3 of their papers we have counts for
6 papers
An analysis of indeterminate points in discrete integrable system
Yuki Wakimoto
We investigate indeterminate points in discrete integrable system. They appear in singularity confinement phenomenon naturally. We develop a method to analyse indeterminate points…
No inflation in type IIA strings on rigid CY spaces
Yuki Wakimoto, Sergei V. Ketov
We investigate whether cosmological inflation is possible in a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, when all perturbative string corre…
Non-perturbative scalar potential inspired by type IIA strings on rigid CY
Sergei Alexandrov, Sergei V. Ketov, Yuki Wakimoto
Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbativ…
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…
Degeneration of the Julia set to singular loci of algebraic curves
Satoru Saito, Noriko Saitoh, Hiromitsu Harada +2
We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map…
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…