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Almost thirty years ago, D.G. Kendall [8] considered diffusions of shape induced by independent Brownian motions in Euclidean space. In this paper, we consider a different class of diffusions of shape, induced by the projections of a randomly rotating labelled ensemble. In particular, we study diffusions of shapes induced by projections of planar triangular(More)
Acknowledgments This present work, similar to a hike in the mountains of Switzerland, has taken time to achieve. This long-term project leaves some memories of people to whom I would like to express my gratitude. I would like to express my deepest gratitude to my supervisor, Professor Stephan Morgenthaler for his continuous encouragement, patience, guidance(More)
At the offset of a (stochastic) epidemic, it is of importance to have a mathematical model that will assist in the making of an informed judgement on whether the epidemic will explode, or will be minor and die out. In this paper, we consider probabilistic inferences related to the event of extinction of a discrete time branching process when this cannot be(More)