作者: Takeyuki Hida

Encompassing both introductory and more advanced research material, these notes deal with the author’s contributions to stochastic processes and focus on Brownian motion processes and its derivative …

A random field is a mathematical model of evolutional fluctuating complex systems parametrized by a multi-dimensional manifold like a curve or a surface. As the parameter varies, the random field car …

This volume includes papers by leading mathematicians in the fields of stochastic analysis, white noise theory and quantum information, together with their applications. The papers selected were pres …

Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap …

Contents:

• Recognition and Teleportation (M Ohya et al.)
• Quantum Information and Spacetime Structure (I V Volovich)
• On Gaussian and Poisson White Noises (N Asai)
• Re …

Contents:

• A Quarter Century of White Noise Theory (H-H Kuo)
• Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials (N Asai)
• Notions of In …

Contents:

• The Quantum Filtering Problem as a Dynamical Covariance Condition (L Accardi)
• CKS-Space in Terms of Growth Functions (N Asai et al.)
• Large Deviation Principle for …

Over the last decade the theory of quantum information has developed into an important and active research area in mathematics, physics and other fields of science. It has established a link among th …

White noise analysis is an advanced stochastic calculus that has developed extensively since three decades ago. It has two main characteristics. One is the notion of generalized white noise functiona …

This volume consists of three papers, the first paper by T Ray aims to create an instantiation of evolution by natural selection in the computational medium. This creates a conceptual problem that re …

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The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis- cipline with its own repertoire of tec …

Many areas of applied mathematics call for an efficient calculus in infinite dimensions. This is most apparent in quantum physics and in all disciplines of science which describe natural phenomena by …

Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent co …

This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and …