Scaling Limit of a Limit Order Book Model via the Regenerative Characterization of Lévy Trees

We consider the following Markovian dynamic on point processes: at constant rate and with equal probability, either the rightmost atom of the current configuration is removed, or a new atom is added at a random distance from the rightmost atom. Interpreting atoms as limit buy orders, this process wa...

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Veröffentlicht in:Stochastic systems 2017-12, Vol.7 (2), p.342-373
Hauptverfasser: Lakner, Peter, Reed, Josh, Simatos, Florian
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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