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Workshop

Curvature of exponential families and ruled surfaces

  • Stephan Weis (Universität Erlangen)
A3 01 (Sophus-Lie room)

Abstract

The state space of two bits contains the exponential family of product states. This family forms a surface of second order and is also a ruled surface. For the latter, there exists a geometrically motivated parametrization that implies an easy curvature formula. Which of these structures may be extended to exponential families of a more general type?

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Nihat Ay

Max Planck Institute for Mathematics in the Sciences