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math.PR2018
Mean field systems on networks, with singular interaction through hitting times
Sergey Nadtochiy, Mykhaylo Shkolnikov
Building on the line of work [DIRT15a], [DIRT15b], [NS17a], [DT17], [HLS18], [HS18] we continue the study of particle systems with singular interaction through hitting times. In co…
math.PR2018
Dynamics of observables in rank-based models and performance of functionally generated portfolios
Sergio A. Almada Monter, Mykhaylo Shkolnikov, Jiacheng Zhang
In the seminal work [9], several macroscopic market observables have been introduced, in an attempt to find characteristics capturing the diversity of a financial market. Despite t…