# SCS

## Seminar

### Bartlett spectra of point processes

Bremaud, P (Ecole Normale Superieure)
Tuesday 11 May 2010, 14:30-16:00

Seminar Room 1, Newton Institute

#### Abstract

This talk will consist of three parts. In the first part, I shall give a universal formula that summarizes the effect on the Bartlett spectrum of a stationary point process of various transformations of the latter (thinning, translation, filtering, clustering, jitter) and give the Bartlett spectrum of a Hawkes process with random fertility rate (joint work with Laurent Massouli\'e and Andrea Ridolfi). In the second part, I shall give an example of long range dependence that is intrinsic'' (not due to long dependence of the intensity process of a Cox process): the branching process without ancestor (joint work with Laurent Massouli\'e). Finally, I shall list a few open problems in the theory of Bartlett spectra.

#### Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.