Disputation: Michele Giordano

Doctoral candidate Michele Giordano at the Department of Mathematics will be defending the thesis On stochastic control for Volterra type dynamics for the degree of Philosophiae Doctor.

picture of the candidate

Doctoral candidate Michele Giordano

The PhD defence will be in room 1259, Abels Utsikt - Niels Henrik Abels hus. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.

Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence.

Trial lecture

29th of September, time: 10:15 am, room 1259.

"Randomization methods for stochastic optimal control problems"
 
Main research findings 

In this thesis we study stochastic optimal control problems for Volterra type dynamics. To this end, we consider two different approaches: maximum principle and dynamic programming. We use the maximum principle when working with time-changed Lévy noise drivers and obtain a sufficient and necessary optimal condition. We also discuss the two players game setting. We present the dynamic programming approach in the case of a simplified continuous Volterra forward equation, where the dependence from the past is obtained through a convolution kernel. In this case we also provide a numerical approach for the linear-quadratic case.

Adjudication committee

  • Professor Boualem Djehiche, KTH Stockholm
  • Associate Professor Federica Masiero, University of Milano Bicocca
  • Professor Tom Lindstrøm, University of Oslo

Supervisors

Chair of defence

Deputy Head of Department Nadia S. Larsen

Host of the session

Professor Tom Lindstrøm, University of Oslo

 

Organizer

Department of Mathematics
Published Sep. 15, 2023 10:04 AM - Last modified Sep. 26, 2023 7:16 PM