The theory of orthogonal polynomials on the unit circle (OPUC) dates back to Szegö’s work of 1915-21, and has been given a great impetus by the recent work of Simon, in particular his survey paper and three recent books; we allude to the title of the third of these, Szegö’s theorem and its descendants, in ours. Simon’s motivation comes from spectral theory and analysis. Another major area of ap...

The incorporation of high–level prior information in Bayesian imaging has been proposed via the theoretical frameworks both of Grenander and Miller (1994) and Baddeley and Van Lieshout (1993). Recent developments in Markov chain Monte Carlo algorithms for varying dimension problems (Green, 1995) have made the application of these high–level models more widely accessible, although this remains m...

Although extensive research has been done on the distributed system parameter identification problem (see [l] for a recent survey), relatively little attention has been paid, in the stochastic framework, to the problem of estimating unknown parameters that are infinite dimensional. This is not surprising, as Rozanov pointed out in his classic paper [2] that directly estimating infinite-dimensio...

General deformable models have reduc edthe need for hand crafting new models for every new problem. But still most of the general models rely on manual inter action by an expert, when applied to a new problem, e.g., for selecting parameters and initialization. In this pap er we prop ose a full and uni ed scheme for applying the general deformable template model proposed by Grenander et al. [7, ...