CONTENTS
1. Introduction 1
2. Definitions, Preliminaries and Generalities 12
2.1 The General Setting 12
2.2 The Markov Case 25
3. The Probabilistic Structure of H. 34
4. Palm Measures and a 0-1 Law 62
4.1 A Representation for the Historical Palm Measure 62
4.2 A 0-1 Law 73
5. Hausdorff Measure and the Support of
Super-Levy Processes 81
6. The Structure of Equilibrium Measures 95
7. Weak Convergence of Branching Particle Systems 121
8. A Modulus of Continuity for the Supports of
Super-diffusions 145
Appendix 161
References 175
iii
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