50 citations · 168 across the 28 of their papers we have counts for
28 papers
Degree growth, orbit graphs, and functoriality for birational dynamical systems
Tomoyuki Takenawa
The purpose of this paper is to give a natural divisor-theoretic formulation of the counting method introduced by Halburd for computing degree growth, in a form applicable to birat…
Improvements to the post-processing of weather forecasts using machine learning and feature selection
Kazuma Iwase, Tomoyuki Takenawa
This study aims to develop and improve machine learning-based post-processing models for precipitation, temperature, and wind speed predictions using the Mesoscale Model (MSM) data…
On the geometry of a 4-dimensional extension of a -Painlevé I equation with symmetry type
Alexander Stokes, Tomoyuki Takenawa, Adrian Stefan Carstea
We present a geometric study of a four-dimensional integrable discrete dynamical system which extends the autonomous form of a -Painlevé I equation with symmetry of type $A_1^{(…
Space of initial conditions for the four-dimensional Garnier system revisited
Tomoyuki Takenawa
A geometric study is given for the 4-dimensional Garnier system. By the resolution of indeterminacy, the group of its Bäklund transformations is lifted to a group of pseudo-isomorp…
Interpolation of mountain weather forecasts by machine learning
Kazuma Iwase, Tomoyuki Takenawa
Recent advances in numerical simulation methods based on physical models and their combination with machine learning have improved the accuracy of weather forecasts. However, the a…
Solving the Quispel-Roberts-Thompson maps using Kajiwara-Noumi-Yamada's representation of elliptic curves
Xing Li, Tomoyuki Takenawa
It is well known that the dynamical system determined by a Quispel-Roberts-Thompson map (a QRT map) preserves a pencil of biquadratic polynomial curves on ${\mathbb{CP}}^1 \times {…