New(ish) Books

Book In Progress

R.J. Adler, J.E. Taylor and K.J. Worsley, (20??) Applications of random fields and geometry: Foundations and Case Studies .

This book is being written with a statistical audience in mind. It will contain a brief review of the theory of Random Fields and Geometry with some additions that are of more practical importance. More significantly, it will go into detail as to how to apply the theory in practice, along with a slew of examples.

As the book progresses we shall post early versions here , on the understanding that since it is a work in progress you should expect errors and oversights.

Progress on this book basically stopped a decade ago, mainly due to the tragic loss of one of the authors, our good friend Keith Worsley, whom we lost to cancer in early 2009. Nevertheless, while we still hope to finish it some time, the hope has been fading over time.

In the meantime, we shall be very grateful for all comments, questions, suggestions and lists of typos that will help improve the final version. One click, here as well as above, will download what we have so far. The first four chapters, which are basically background theory, are in pretty good shape. Chapters 5 and 6 are (obviously) first drafts. Use them at your own risk!

Old Books

Some Recent Preprints

Actually, “recent” is not necessarily all that recent, but refers to when I started making hyperlinked lists. For a full (modulo the papers that are so new even Google has not caught them yet) list, you can go to my Google Scholar page (but you already knew that anyway).

Movie and Computer Package

  • Superprocesses: The Movie. (should be uploaded to youtube) A 15-minute video of superprocess visualisations. The movie was produced at the Technion Visualization Centre . Drop me a line at and I will mail you a CD with all the mpeg files, or download some now, for simulations of simple superprocesses in one, two, or three dimensions. (In each one of these simulations you will first see a simulation of many particles following a simple random walk, with total mass spreading out according to the discrete heat equation with small random perturbation, followed by branching random walks meant to simulate superprocesses.)
  • SUPER, an interactive C/GL graphics package for the visualisation of superprocesses in dimensions one through five.Documentation, including information on how to obtain, run, and, if necessary, compile the programs, is here.