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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)
and has been there ever since. During his 40 years (and counting) as a faculty member at Berkeley, he has supervised 40 doctoral theses. He has a record of academic and professional service and has received a number of honors and awards. in the Swiss Alps of Valais, during David's visit to give a doctoral course on " Modeling Random Trajectories " in the(More)
Single particle electron microscopy is a powerful method that biophysicists employ to learn about the structure of biological macromolecules. In contrast to the more traditional crystallographic methods, this method images " unconstrained " particles, thus posing a variety of statistical problems. We formulate and study such a problem, one that is(More)
Single-particle electron microscopy is a powerful method that biophysicists employ to learn about the structure of biological macromolecules. In contrast to the more traditional crystallographic methods, this method images " unconstrained " particles, thus posing a variety of statistical problems. We formulate and study such a problem, one that is(More)
PAR Mikael Johan KUUSELA " If everybody tells you it's possible, then you are not dreaming big enough. " — Bertrand Piccard and André Borschberg, while crossing the Pacific Ocean on a solar-powered aircraft To my parents Acknowledgements I would first and foremost like to sincerely thank my advisor Victor Panaretos for the opportunity of carrying out this(More)