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- Olav Kallenberg
- SIAM Review
- 1993

Let ξ be a Dawson–Watanabe superprocess in R d such that ξt is a.s. locally finite for every t ≥ 0. Then for d ≥ 2 and fixed t > 0, the singular random measure ξt can be a.s. approximated by suitably normalized restrictions of Lebesgue measure to the ε-neighborhoods of supp ξt. When d ≥ 3, the local distributions of ξt near a hitting point can be… (More)

- Olav Kallenberg
- 1973

A random measure ~ defined on some measurable space (S,S) is said to be symmetrically distributed with respect to some fixed measure w on S, if the distribution of). The first purpose of the present paper is to extend to such random measures (and then even improve) the results on convergence in distribution and almost surely, previously given for random… (More)

- Peter Bickel, Olav Kallenberg, +13 authors Anton Flugge
- 2016

- OLAV KALLENBERG
- 2008

We explain how invariance in distribution under separate or joint contractions, permutations, or rotations can be defined in a natural way for d-dimensional arrays of random variables. In each case, the distribution is characterized by a general representation formula, often easy to state but surprisingly complicated to prove. Comparing the representations… (More)

- Olav Kallenberg
- 2008

PREFACE Random measure theory is a new and rapidly growing branch of probabi li ty of increasing interest both in theory and applications. Loosely speaking, it is concerned with random quantities which can only take non-negative values, such as e.g. the number of random variables in a given sequence possessing a certain property, the time spent by a random… (More)

- Olav Kallenberg
- 2008

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