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But negative resilience also has a natural interpretation, as it models self-exciting behaviour of the price impact, where trading activities of the large investor stimulate other market participants to trade in the same direction. In the paper we discuss several new qualitative effects on optimal trade execution that arise when we allow resilience to take negative values. We do this in a framework where both market depth and resilience are stochastic processes.<\/jats:p>","DOI":"10.1007\/s10479-022-04973-0","type":"journal-article","created":{"date-parts":[[2022,9,20]],"date-time":"2022-09-20T03:33:47Z","timestamp":1663644827000},"page":"637-659","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Self-exciting price impact via negative resilience in stochastic order books"],"prefix":"10.1007","volume":"336","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5428-8906","authenticated-orcid":false,"given":"Julia","family":"Ackermann","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2388-3929","authenticated-orcid":false,"given":"Thomas","family":"Kruse","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mikhail","family":"Urusov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,9,20]]},"reference":[{"issue":"4","key":"4973_CR1","doi-asserted-by":"publisher","first-page":"757","DOI":"10.1007\/s00780-021-00464-5","volume":"25","author":"J Ackermann","year":"2021","unstructured":"Ackermann, J., Kruse, T., & Urusov, M. 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