Speaker
Dmitriy Stolyarov
(Saint Petersburg State University and St. Petersburg Department of Steklov Institute of Mathematics)
Description
I will speak about a mysterious correspondence between inequalities for special discrete time martingales and solutions to certain PDEs. Usually these inequalities involve the~$L_1$ norms of functions and martingales and, thus, have applications to geometric measure theory. The said correspondence also works for questions in geometric measure theory (quantifying singularities of martingales and singularities of PDE solutions). It seems that there are much more questions than answers here.
Primary author
Dmitriy Stolyarov
(Saint Petersburg State University and St. Petersburg Department of Steklov Institute of Mathematics)
