#### Filter Results:

- Full text PDF available (3)

#### Publication Year

1992

2012

- This year (0)
- Last 5 years (1)
- Last 10 years (3)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

In 1957, Kolmogorov and Arnold gave a solution to the 13th problem which had been formulated by Hilbert in 1900. Actually, it is known that there exist many open problems which can be derived from the original problem. From the function-theoretic point of view, Hilbert’s 13th problem can be exactly characterized as the superposition representability problem… (More)

- Shigeo Akashi
- IEEE Trans. Information Theory
- 1992

A computational method giving upper hounds of e-entropy of stochastic processes satisfying Kolmogorov-Prokhorov’s condition is studied, in terms of Shannon’s entropy of the probability measures on C[O, 11 induced by these processes. Moreover, this method and Ohya’s fractal dimensions are applied to investigating the asymptotic behavior of e-entropy of such… (More)

- Shigeo Akashi, Wataru Takahashi
- Applied Mathematics and Computation
- 2012

Almost all of the technical methods, which are used in the theory of nonlinear dynamical systems, originated in the theory of one dimensional dynamical systems. In this talk, a relation between nonlinear ergodic theorems, which are developed by Prof. Takahashi and other researchers, and the asymptotic behavior of one dimensional dynamical systems will be… (More)

Ohya and Volovich have been proposed a new quantum computation model with chaos amplification to solve the SAT problem, which went beyond usual quantum algorithm. In this paper we study the complexity of the SAT algorithm by counting the steps of computation algorithm rigorously, which was mentioned in the paper [1, 2, 3, 5, 7]. For this purpose, we refine… (More)

- ‹
- 1
- ›