Lectures in Applied Mathematics and InformaticsLuigi M. Ricciardi Manchester University Press, 1990 - 362 Seiten A collection of selected lectures in applied mathematics, delivered by visiting professors within the Research Doctorate Programme in Applied Mathematics and Informatics at the University of Naples. Each lecture is a self-contained chapter focusing on the latest issues in applied mathematics and informatics. Emphasis is placed on computational aspects but very recent findings are discussed without excessive technical jargon. |
Inhalt
Rational and recognizable languages Jean Enric | 62 |
On generalized entropies with applications | 107 |
On the spatial distributions of dispersing animals | 170 |
theory of environmental density | 171 |
Behavioural version of Morisitas equation | 173 |
Dispersal in a continuously varying environment | 175 |
dispersal in homogeneous environments | 177 |
Effect of interspecific population pressure on the spatial structure of a competitive community | 182 |
Stochastic differential equations | 222 |
The firstpassagetime problem | 239 |
The Laplace transform approach | 244 |
The moments of the firstpassagetime | 256 |
Algorithms for evaluation of firstpassagetime | 264 |
Asymptotic results | 276 |
References | 283 |
Functionals of Brownian motion Takeyuki Hida | 286 |
multiplescale method | 190 |
Population with general logistic growth | 193 |
Multispecies systems | 196 |
Summary | 200 |
References | 203 |
Diffusion processes and firstpassagetime problems | 206 |
Preliminaries | 207 |
Kinetic equations | 208 |
Diffusion equations | 212 |
Wiener and OrnsteinUhlenbeck processes | 218 |
White noise and Brownian functionals | 288 |
Applications of the integral representation | 295 |
Infinitedimensional rotation group OE | 302 |
Generalized Brownian functionals | 312 |
Causal calculus | 315 |
Multidimensional parameter case | 323 |
Random semicontinuous functions | 330 |
| 354 | |
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