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## Strict measure rigidity for unipotent subgroups of solvable groups

### Inventiones mathematicae (1990-12-01) 101: 449-482 , December 01, 1990

## Edge-Colouring Graphs and Embedding Partial Triple Systems of Even Index

### Cycles and Rays (1990-01-01) 301: 101-112 , January 01, 1990

We show that a conjecture about edge-colouring certain graphs implies a conjecture about embedding partial triple systems of even index. We give some evidence to support each of these conjectures.

## A modern approach to the theory of topological characteristics of non-linear operators. II

### Global Analysis - Studies and Applications IV (1990-01-01) 1453: 21-49 , January 01, 1990

## Limiting theorems for sojourn measures in domains of vector-valued Gaussian random fields

### Ukrainian Mathematical Journal (1990-05-01) 42: 554-561 , May 01, 1990

Sojourn measures of vector-valued Gaussian random fields are studied under the condition of strong dependence. It is proved that the presence of strong dependence among components of a random field leads to a change of normalization and a change of the limiting distribution of the sojourn measures in domains with moving boundaries.

## Twisted crossed products ofC *-algebras. II

### Mathematische Annalen (1990-03-01) 287: 595-612 , March 01, 1990

## Convergence of Bellman-Harris branching processes

### Ukrainian Mathematical Journal (1990-06-01) 42: 730-734 , June 01, 1990

A limit theorem regarding the convergence of a sequence of normalized Bellman-Harris processes to an Jirina process (a branching process with a continuous phase space) is obtained.

## The Relevance of Stochastic Effects to the Notion of Acanthaster Planci as a Near-Optimal Predator

### Acanthaster and the Coral Reef: A Theoretical Perspective (1990-01-01) 88: 298-313 , January 01, 1990

A stochastic extension of the (deterministic) model of the starfish-coral predator-prey population dynamics introduced by Seymour (1989) is defined and analysed. In particular, it is shown to admit a stationary probability density which is a function of a basic “efficiency of predation” parameter. Properties of this density are used as a basis for discussion of the potential role of (small scale) stochastic effects both in the ecology of interactions of starfish and coral, and with respect to possible selection pressures pertinent to the evolution of A. *planci* into a predator prone to outbreak (i.e. a *near-optimal predator* in the terminology of Seymour, 1989).

## 21a

### Probability for Applications (1990-01-01): 568-581 , January 01, 1990

The condition of independent increments is a reasonable assumption in a wide variety of systems modeled by random processes. As sketched in Section 21a.l, the notion is a simple one. Consider a random process *X*_{T} = *{X*_{t}: *t* ∊ *T}*. If t, *u**∊ T* and *t < u*, then the random variable *X*_{u}*‒**X*_{t} is an increment for the process. For simplicity of exposition, we suppose *T* is an interval on the real line. The notion of independent increments is the notion that for nonoverlapping subintervals of the parameter set the increments form an independent class.

## Arturo Rosenblueth and Wiener’s Work in Physiology

### Norbert Wiener 1894–1964 (1990-01-01) 5: 197-217 , January 01, 1990

The year 1933, that witnessed the untimely death of R. E. A. C. Paley, also saw Wiener’s introduction to Dr. Arturo Rosenblueth, a Mexican physiologist, of Hungarian descent, trained at the Sorbonne and working with Dr. Walter Cannon of the Harvard Medical School. Wiener became a regular participant in an interdisciplinary seminar on scientific method which Rosenblueth was conducting at the school, the “Philosophy of Science Club”. The role of this seminar in the genesis of cybernetics and in Wiener’s life can hardly be exaggerated. The seminar ended in 1944 when Rosenblueth left for Mexico to become the Head of the Department of Physiology of the new National Institute of Cardiology. But Rosenblueth’s contacts with Wiener lasted much longer, and he was to become one of Wiener’s closest collaborators, and also one with whom Wiener had the warmest relationship. Wiener’s description of Rosenblueth reads:

He had not started as a scientist but as a musician, and had earned his living for some time by playing classical piano music in a Mexico City restaurant. Arturo is also a first-rate chess player and a superb bridge player, so good that in neither of these games does he allow me to play with him He is a great enthusiast for the climate and arts of his native land… He is a hard worker, and he makes the greatest demands on the sincerity and industry of those about him, demands which are only exceeded by those he makes upon himself. [56g, p. 278]