243,792 research outputs found
Intertwining and commutation relations for birth-death processes
Given a birth-death process on with semigroup
and a discrete gradient depending on a positive weight , we
establish intertwining relations of the form
, where is the Feynman-Kac
semigroup with potential of another birth-death process. We provide
applications when is nonnegative and uniformly bounded from below,
including Lipschitz contraction and Wasserstein curvature, various functional
inequalities, and stochastic orderings. Our analysis is naturally connected to
the previous works of Caputo-Dai Pra-Posta and of Chen on birth-death
processes. The proofs are remarkably simple and rely on interpolation,
commutation, and convexity.Comment: Published in at http://dx.doi.org/10.3150/12-BEJ433 the Bernoulli
(http://isi.cbs.nl/bernoulli/) by the International Statistical
Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm
Large deviations for self-intersection local times of stable random walks
Let be a random walk on . Let the local time at the state and the q-fold self-intersection local
time (SILT). In \cite{Castell} Castell proves a large deviations principle for
the SILT of the simple random walk in the critical case . In the
supercritical case , Chen and M\"orters obtain in \cite{ChenMorters}
a large deviations principle for the intersection of independent random
walks, and Asselah obtains in \cite{Asselah5} a large deviations principle for
the SILT with . We extend these results to an -stable process
(i.e. ) in the case where .Comment: 22 page
Foreign Direct Investment in the United States: Interest Rate and Exchange Rate
David Y. Chen, Ph.D., is an associate professor, Department of Economics and Transportation/ Logistics. North Carolina A&T State University, Greensboro, NC 27411
- …