Various time-series decomposition techniques, including wavelet transform, singular spectrum analysis, empirical mode decomposition and independent component analysis, have been developed for ...

Twenty-seven years ago, a group of physicists made an accidental discovery that flipped mathematics on its head. The physicists were trying to work out the details of string theory when they observed ...

In the field of symplectic geometry, a central issue involves how to count the intersection points of two complicated geometric spaces. This counting question is at the heart of one of the most famous ...

Russian-American mathematician and Wolf Prize laureate Yakov Eliashberg delivered a public talk at IIT Madras on Thursday, as part of the inaugural annual TNQ Distinguished Lecture in Mathematics. The ...

In this paper we present rotational symplectic geometry for use in modern biomechanics of human motion. Generalized Hamiltonian formalism has been formulated on the configuration manifold consisting ...

Dusa McDuff and Dietmar Salamon will receive the 2017 AMS Leroy P. Steele Prize for Exposition. They are honored for their book J-holomorphic Curves and Symplectic Topology (AMS Colloquium ...