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Exchangeability and continuum limits of discrete random structures. (English) Zbl 1229.60040

Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 141-153 (2011).
Summary: Exchangeable representations of complex random structures are useful in several ways, in particular providing a moderately general way to derive continuum limits of discrete random structures. I shall describe an old example (continuum random trees) and a more recent example (dense graph limits). Thinking this way about road routes suggests challenging new problems in the plane.
For the entire collection see [Zbl 1220.00031].

MSC:

60G09 Exchangeability for stochastic processes
60C05 Combinatorial probability
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