Lectures in Applied Mathematics and Informatics

Frontcover
Luigi M. Ricciardi
Manchester University Press, 1990 - 362 Seiten
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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.
  

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Inhalt

Rational and recognizable languages Jean Enric Pin
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
Name index
354
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