8 citations · 8 across the 2 of their papers we have counts for
4 papers
Parametrized vector fields and the zero-curvature condition
Mitchell Rothstein
We apply the notion of parametrized vector field on a manifold M, where the parameters are also in M, to the study of the zero-curvature condition that arises in the context of int…
The geometry of quantum learning
Markus Hunziker, David A. Meyer, Jihun Park +2
Concept learning provides a natural framework in which to place the problems solved by the quantum algorithms of Bernstein-Vazirani and Grover. By combining the tools used in these…
Dynamics of the Krichever construction in several variables
Mitchell Rothstein
The Krichever construction in one variable, that is, for spectral curves, linearizes the KdV-hierarchy on the jacobian of the curve. We carry out an appropriate generalization of t…
Fourier transform for D-algebras
Alexander Polishchuk, Mitchell Rothstein
We construct a version of Fourier transform for a class of non-commutative algebras over abelian varieties which include algebras of twisted differential operators generalizing the…