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On optimal asymptotic bounds for spherical designs
spherical designs fixed point theorems Marcinkiewicz–Zygmund inequality area-regular partitions
2010/12/10
For each N ≥ cdtd we prove the existence of a spherical t-design on the sphere Sd consisting of N points, where cd is a constant depending only on d. This result proves the well-known conjecture of Ko...
Asymptotic Properties of Optimal Trajectories in Dynamic Programming
Asymptotic Properties of Optimal Trajectories Dynamic Programming
2011/2/25
We show in a dynamic programming framework that uniform convergence of the finite horizon values implies that asymptotically the average accumulated payoff is constant on optimal trajectories. We anal...