Stochastic recursive inclusion in two timescales with an application to the Lagrangian dual problem

In this paper we present a framework to analyze the asymptotic behavior of two timescale stochastic approximation algorithms including those with set-valued mean fields. This paper builds on the works of Borkar and Perkins & Leslie. The framework presented herein is more general as compared to the synchronous two timescale framework of Perkins \& Leslie, however the assumptions involved are easily verifiable. As an application, we use this framework to analyze the two timescale stochastic approximation algorithm corresponding to the Lagrangian dual problem in optimization theory

How to conduct research in an independent hospice: practical tips and advice

Independent hospices can – and should aim to – participate in palliative care research, say Paul Perkins, Rebecca Day, Julie Hapeshi, Lorraine Dixon and Rudo Nyakuhwa, who give tips and advice based on their experience at Sue Ryder

How to conduct research in an independent hospice: practical tips and advice

Independent hospices can – and should aim to – participate in palliative care research, say Paul Perkins, Rebecca Day, Julie Hapeshi, Lorraine Dixon and Rudo Nyakuhwa, who give tips and advice based on their experience at Sue Ryder

Macrophage-sensory neuronal interaction in HIV-1 gp120-induced neurotoxicity

Acknowledgements We thank Dr Jim Perkins of University College London for his help with the statistical analysis of our gene array data. We thank Prof. Maria Papathanasopoulos from the University of the Witwatersrand, Johannesburg, for the gift of gp120Bal.Peer reviewedPublisher PD

Perkins, Nicholas, 1779-1848 (SC 187)

Finding aid and typescript (Click on Additional Files below) for Manuscripts Small Collection 187. Photostat of letter written by Nicholas Perkins from Richmond, Virginia, 19 August 1807 to relative Nicholas Tate Perkins, Williamson County, Tennessee, while he was attending Aaron Burr’s treason trial. Perkins was chiefly responsible for Burr’s capture. Also includes biographical information about Perkins