Georges Matheron passed away on 7 August 2000. He did pioneering work in many branches of applied mathematics, being at the origin of geostatistics and mathematical morphology; he made also fundamental contributions to the theory of random models. Scientists have been invited to write chapters on specific topics. In order to obtain a well-balanced volume, the topics to be included in each chapter will be agreed upon beforehand. Contributions should highlight Georges Matheron's approach to solving problems, or illustrate the dynamic way that theories or methods that were initially developed by him have continued to be productive. In some cases it would also be interesting to show how the specific characteristics of certain domains of application led to the emergence of new theories or methods. The proposed volume will be split into three main sections of approximately equal importance: random sets, geostatistics and mathematical morphology.