Adaptive Uniformization: Technical Details

Yang-mills Flow and Uniformization Theorems

We consider a parabolic-like systems of differential equations involving geometrical quantities to examine uniformization theorems for twoand three-dimensional closed orientable manifolds. We find that in the two-dimensional case there is a simple gauge theoretic flow for a connection built from a Riemannian structure, and that the convergence of the flow to the fixed points is consistent with ...

Modeling and Control of Gas Turbine Combustor with Dynamic and Adaptive Neural Networks (TECHNICAL NOTE)

Combining Adaptive and Standard Uniformization

1 Abstract Adaptive uniformization (AU) has recently been proposed as a method to compute transient measures in continuous-time Markov chains and has been shown to be especially attractive for solving large and sti dependability models. The major advantage of AU is that it requires at most as many iterations as standard uniformization (SU), and often far fewer, thus resulting in substantial com...

Adaptive model predictive control with exploring property for constrained linear systems that uses basis function model parametrization

This manuscript contains technical details of recent results developed by the authors on adaptive model predictive control for constrained linear systems that exhibits exploring property and uses basis function model parametrization.

Introduction to Affine Grassmannians

3 Uniformization 9 3.1 Uniformization of P1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Affine Loop Group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 Uniformization of general curves . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Applications of uniformization . . . . . . . . . . . . . . . . . . . . . . . . 12 3.5 The Beilinson-Drinfeld Grassmann...