53 citations · 134 across the 31 of their papers we have counts for
3 papers · 1 filter
Wiener-Hopf Factorization for Arithmetic Brownian Motion with Time-Dependent Drift and Volatility
Tomasz R. Bielecki, Ziteng Cheng, Ruoting Gong
In this paper we obtain a Wiener-Hopf type factorization for a real-valued arithmetic Brownian motion with time-dependent drift and volatility. To the best of our knowledge, this p…
Generalized Multivariate Hawkes Processes
Tomasz R. Bielecki, Jacek Jakubowski, Mariusz Nieweglowski
This work contributes to the theory and applications of Hawkes processes. We introduce and examine a new class of Hawkes processes that we call generalized Hawkes processes, and th…
Time-inconsistent Markovian control problems under model uncertainty with application to the mean-variance portfolio selection
Tomasz R. Bielecki, Tao Chen, Igor Cialenco
In this paper we study a class of time-inconsistent terminal Markovian control problems in discrete time subject to model uncertainty. We combine the concept of the sub-game perfec…