12 papers
On almost commuting matrices with respect to the normalized Hilbert--Schmidt norm
Mohit Bansil, Ilya Kachkovskiy
In this paper, we consider the Rosenthal -- Halmos problem of almost commuting matrices with respect to the normalized Hilbert -- Schmidt norm …
Hidden monotonicity and canonical transformations for mean field games and master equations
Mohit Bansil, Alpár R. Mészáros
In this paper we unveil novel monotonicity conditions applicable for Mean Field Games through the exploration of finite dimensional . Our findings contr…
On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations
Mohit Bansil, Alpár R. Mészáros
In this note we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of $C^{1,…
Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations
Mohit Bansil, Alpár R. Mészáros, Chenchen Mou
In this paper we construct global in time classical solutions to mean field games master equations in the lack of idiosyncratic noise in the individual agents' dynamics. These incl…
-transport with discrete target as a combinatorial matching problem
Mohit Bansil, Jun Kitagawa
In this short note, we show that given a cost function , any coupling of two probability measures where the second is a discrete measure can be associated to a certain bipar…
Computational Semi-Discrete Optimal Transport with General Storage Fees
Mohit Bansil
We propose and analyze a modified damped Newton algorithm to solve the semi-discrete optimal transport with storage fees. We prove global linear convergence for a wide range of sto…