63,402 research outputs found
Remarks on spectral gaps on the Riemannian path space
In this paper, we will give some remarks on links between the spectral gap of
the Ornstein-Uhlenbeck operator on the Riemannian path space with lower and
upper bounds of the Ricci curvature on the base manifold; this work was
motivated by a recent work of A. Naber on the characterization of the bound of
the Ricci curvature by analysis of path spaces
Bootstrapping the Long Tail in Peer to Peer Systems
We describe an efficient incentive mechanism for P2P systems that generates a
wide diversity of content offerings while responding adaptively to customer
demand. Files are served and paid for through a parimutuel market similar to
that commonly used for betting in horse races. An analysis of the performance
of such a system shows that there exists an equilibrium with a long tail in the
distribution of content offerings, which guarantees the real time provision of
any content regardless of its popularity
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