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Coupling limit order books and branching random walks

Simatos, Florian Coupling limit order books and branching random walks. (2014) Journal of Applied Probability, 51 (3). 625-639. ISSN 0021-9002

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Official URL: https://doi.org/10.1239/jap/1409932663


We consider a model for a one-sided limit order book proposed by Lakner et al.~\cite{Lakner:0}. We show that it can be coupled with a branching random walk and use this coupling to answer a non-trivial question about the long-term behavior of the price. The coupling relies on a classical idea of enriching the state-space by artificially creating a filiation, in this context between orders of the book, that we believe has the potential of being useful for a broader class of models.

Item Type:Article
HAL Id:hal-01888123
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Eindhoven University of Technology - TU/e (NETHERLANDS)
Deposited On:04 Oct 2018 15:16

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