Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions
β Scribed by Yoshimasa Nakamura; Yuji Kodama
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 414 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We introduce a renormalization procedure for the Ο -function of integrable systems. We illustrate the procedure using the supercritical Toda shock problem as a model problem. We start with a finite chain and take the limit of the solution as the number of particles N β β. This results in a new formu
Positive and negative hierarchies of nonlinear integrable lattice models are derived from a discrete spectral problem. The two lattice hierarchies are proved to have discrete zero curvature representations associated with a discrete spectral problem, which also shows that the positive and negative h
We present explicit formulae for the positive and negative moments of an exponential Wiener functional, which is deΓΏned as the integral with respect to time of geometric Brownian motion and plays an important role in several ΓΏelds.