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math.AP2021
Static and Dynamical, Fractional Uncertainty Principles
Sandeep Kumar, Felipe Ponce-Vanegas, Luis Vega
We study the process of dispersion of low-regularity solutions to the Schrödinger equation using fractional weights (observables). We give another proof of the uncertainty principl…
math.AP2020
On the Schrödinger map for regular helical polygons in the hyperbolic space
Sandeep Kumar
The main purpose is to describe the evolution of $\Xt = \Xs \wedge_- \Xss,$ with $\X(s,0)$ a regular polygonal curve with a nonzero torsion in the 3-dimensional hyperbolic space. U…