output
20132018
most citedFrom Euler's elastica to the mKdV hierarchy, through the Faber polynomials

6 citations

7 papers

math.AG2018

Jacobi inversion formulae for a curve in Weierstrass normal form

Jiyro Komeda, Shigeki Matsutani

We consider a pointed curve which is given by the Weierstrass normal form, where is an aff…

math.AG2017★ 5 cited

The sigma function for trigonal cyclic curves

Jiryo Komeda, Shigeki Matsutani, Emma Previato

A recent generalization of the "Kleinian sigma function" involves the choice of a point of a Riemann surface , namely a "pointed curve" . This paper concludes our ex…

cond-mat.dis-nn2017★ 2 cited

A novel conductivity mechanism of highly disordered carbon systems based on an investigation of graph zeta function

Shigeki Matsutani, Iwao Sato

In the previous report [Phys. Rev. B {\bf{62}} 13812 (2000)], by proposing the mechanism under which electric conductivity is caused by the activational hopping conduction with the…

quant-ph2016★ 4 cited

New theory of diffusive and coherent nature of optical wave via a quantum walk

Yusuke Ide, Norio Konno, Shigeki Matsutani +1

We propose a new theory on a relation between diffusive and coherent nature in one dimensional wave mechanics based on a quantum walk. It is known that the quantum walk in homogene…

math-ph2016

An algebraic description of screw dislocations in SC and BCC crystal lattices

Hiroyasu Hamada, Shigeki Matsutani, Junichi Nakagawa +2

We give an algebraic description of screw dislocations in a crystal, especially simple cubic (SC) and body centered cubic (BCC) crystals, using free abelian groups and fibering str…

math-ph2015★ 6 cited

From Euler's elastica to the mKdV hierarchy, through the Faber polynomials

Shigeki Matsutani, Emma Previato

The modified Korteweg-de Vries hierarchy (mKdV) is derived by imposing isometry and isoenergy conditions on a moduli space of plane loops. The conditions are compared to the constr…

math-ph2013

On homogenized conductivity and fractal structure in a high contrast continuum percolation model

Shigeki Matsutani, Yoshiyuki Shimosako

In the previous article (S. Matsutani and Y. Shimosako and Y. Wang, Physica A \bf{391} (2012) 5802-5809) we numerically investigated an electric potential problem with high contras…