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Recruitment Talk -- A potential-based construction of the increasing supermartingale coupling

The Golden Hourglass by Craig Schaffer
January 21, 2022
4:15PM - 5:15PM
Zoom

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Add to Calendar 2022-01-21 16:15:00 2022-01-21 17:15:00 Recruitment Talk -- A potential-based construction of the increasing supermartingale coupling Speaker:  Shuoqing Deng Abstract:  We provide an explicit construction of a triple of functions, on the graph of which the increasing supermartingale coupling concentrates. In particular, we show how the increasing supermartingale coupling can be identified with the left-curtain martingale coupling and the antitone coupling to the left and to the right of a uniquely determined regime-switching point. Our construction is based on the concept of the shadow measure and we show how to determine the potential of the shadow measure associated with a supermartingale. (Joint work with E. Bayraktar and D. Norgilas). Zoom:  https://osu.zoom.us/j/2904626940?pwd=WEZ3K2lPRlFybXI2OEdSSU5ROHlYdz09 Meeting ID: 290 462 6940 Password: Bucks Zoom Department of Mathematics math@osu.edu America/New_York public

Speaker:  Shuoqing Deng

Abstract:  We provide an explicit construction of a triple of functions, on the graph of which the increasing supermartingale coupling concentrates. In particular, we show how the increasing supermartingale coupling can be identified with the left-curtain martingale coupling and the antitone coupling to the left and to the right of a uniquely determined regime-switching point. Our construction is based on the concept of the shadow measure and we show how to determine the potential of the shadow measure associated with a supermartingale. (Joint work with E. Bayraktar and D. Norgilas).

Zoom:  https://osu.zoom.us/j/2904626940?pwd=WEZ3K2lPRlFybXI2OEdSSU5ROHlYdz09

Meeting ID: 290 462 6940

Password: Bucks

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