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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 catastrophic model for vibrational buckling of elastic arches

### Applied Mathematics and Mechanics (1990-12-01) 11: 1171-1174 , December 01, 1990

*This paper represents an attempt at the application of catastrophe theory to the dynamic stability of engineering structures. The authors not only obtain a catastrophic model of vibrational buckling of elastic arches, but also give the critical condition of losing stability*.

## 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.

## Buckling and postbuckling behavior of antisymmetrically angle-ply laminated composite plates

### Applied Mathematics and Mechanics (1990-12-01) 11: 1155-1165 , December 01, 1990

*The buckling and postbuckling behaviors of perfect and imperfect antisymmetrically angle-ply laminated composite plates under uniaxial compression have been studied by perturbation technique which takes deflection as its perturbation parameter*.

*In this paper, the effects of in-plane boundary conditions, angles, total number of layers and initial geometric imperfection on the postbuckling behavior of laminated plates have been discussed*.

## 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).