Freeman, N. and Palau, S. (2020) A note on characterizing tightness of random sets of càdlàg paths. Lecture Notes Series - Institute for Mathematical Sciences National University of Singapore : Genealogies of Interacting Particle Systems, 38. pp. 295-313. ISSN 1793-0758
Abstract
We record two natural tightness criteria for random sets of càdlàg paths, within the state space introduced by Etheridge et al. in [4]. This state space is the equivalent, for càdlàg paths, of the (continuous path) state space introduced for the Brownian web by Fontes et al. in [6].
We discuss some implications of these criteria, in particular for cases of coalescing random walkers with heavy tailed jumps, in which tightness fails.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 World Scientific Publishing. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 May 2020 08:39 |
Last Modified: | 18 May 2020 08:39 |
Status: | Published |
Publisher: | Singapore University Press and World Scientific Publishing |
Refereed: | Yes |
Identification Number: | 10.1142/9789811206092_0008 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:160845 |