Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Takenawa, Tomoyuki"'
Autor:
Takenawa, Tomoyuki
Publikováno v:
Published in RIMS Kokyuroku Bessatsu B96 (2024), 117--130
A geometric study is given for the 4-dimensional Garnier system. By the resolution of indeterminacy, the group of its B\"aklund transformations is lifted to a group of pseudo-isomorphisms between rational varieties obtained from ${\mathbb P}^2 \times
Externí odkaz:
http://arxiv.org/abs/2404.00993
Autor:
Iwase, Kazuma, Takenawa, Tomoyuki
Publikováno v:
Will be published in Journal of Information Processing, 32 (2024)
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 accuracy decreases in complex terrains such as mountainous regions beca
Externí odkaz:
http://arxiv.org/abs/2308.13983
Autor:
Li, Xing, Takenawa, Tomoyuki
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 ${\mathbb{CP}}^1 \times {\mathbb{CP}}^1$. In most cases this pencil is elliptic, i.e. its gener
Externí odkaz:
http://arxiv.org/abs/2203.12319
Autor:
Takenawa, Tomoyuki
A geometric study for an integrable 4-dimensional dynamical system so called the Fuji-Suzuki-Tsuda system is given. By the resolution of indeterminacy, the group of its B\"aklund transformations is lifted to a group of pseudo-isomorphisms between rat
Externí odkaz:
http://arxiv.org/abs/2011.06271
In a prior paper the authors obtained a four-dimensional discrete integrable dynamical system by the traveling wave reduction from the lattice super-KdV equation in a case of finitely generated Grassmann algebra. The system is a coupling of a Quispel
Externí odkaz:
http://arxiv.org/abs/1909.00138
A geometric study of two 4-dimensional mappings is given. By the resolution of indeterminacy they are lifted to pseudo-automorphisms of rational varieties obtained from $({\mathbb P}^1)^4$ by blowing-up along sixteen 2-dimensional subvarieties. The s
Externí odkaz:
http://arxiv.org/abs/1810.01664
Autor:
Dzhamay, Anton, Takenawa, Tomoyuki
Publikováno v:
SIGMA 14 (2018), 075, 20 pages
Although the theory of discrete Painlev\'e (dP) equations is rather young, more and more examples of such equations appear in interesting and important applications. Thus, it is essential to be able to recognize these equations, to be able to identif
Externí odkaz:
http://arxiv.org/abs/1804.10341
It is well known that two-dimensional mappings preserving a rational elliptic fibration, like the Quispel-Roberts-Thompson mappings, can be deautonomized to discrete Painlev\'e equations. However, the dependence of this procedure on the choice of a p
Externí odkaz:
http://arxiv.org/abs/1702.04907
Geometric Analysis of Reductions from Schlesinger Transformations to Difference Painlev\'e Equations
Autor:
Dzhamay, Anton, Takenawa, Tomoyuki
We present two examples of reductions from the evolution equations describing discrete Schlesinger transformations of Fuchsian systems to difference Painlev\'e equations: difference Painlev\'e equation d-$P\left({A}_{2}^{(1)*}\right)$ with the symmet
Externí odkaz:
http://arxiv.org/abs/1408.3778
Schlesinger transformations are algebraic transformations of a Fuchsian system that preserve its monodromy representation and act on the characteristic indices of the system by integral shifts. One of the important reasons to study such transformatio
Externí odkaz:
http://arxiv.org/abs/1302.2972