Abstract This paper studies the mixing behavior of Asymmetric Simple Exclusion Process (ASEP) on a segment length N . Our main result is that for particle densities in (0, 1), total-variation cutoff window ASEP $$N^{1/3}$$ N 1 / 3 </mml:...

We prove a Tracy-Widom type formula for the generating function of occupancy numbers on several disjoint intervals higher order Airy point processes. The is related to new vector-valued Painlevé II hierarchy we define, together with its Lax pair.

The first Szegő limit theorem has been extended by Bump-Diaconis and Tracy-Widom to limits of other minors of Toeplitz matrices. We extend their results still further to allow more general measures and more general determinants. We also give a new extension to higher dimensions, which extends a theorem of Helson and Lowdenslager. §

Title: Exploring the factors affecting the implementation of tobacco and substance use interventions within a secondary school setting: a systematic review Authors: Gillian Waller ([email protected]) Tracy Finch ([email protected]) Emma Giles ([email protected]) Dorothy Newbury-Birch ([email protected]) Version: 1 Date: 01 Jul 2017 Author’s response to reviews: Authors (GW, TF, ...

Lucy Campbell ([email protected]) Tracy Dew ([email protected]) Rashim Salota ([email protected]) Emily Cheserem ([email protected]) Lisa Hamzah ([email protected]) Fowzia Ibrahim ([email protected]) Pantelis Sarafidis ([email protected]) Caje Monij ([email protected]) Bruce Hendry ([email protected]) Mary Poulton ([email protected]) Roy Sherwood (Roy.Sh...

Tracy D. Wilson-Gerwing,1 Myles V. Dmyterko,1 Douglas W. Zochodne,2 Jayne M. Johnston,1 and Valerie M. K. Verge1 1Department of Anatomy and Cell Biology, Cameco Multiple Sclerosis Neuroscience Research Center, University of Saskatchewan, Saskatoon, Saskatchewan, Canada S7N 5E5, and 2Department of Clinical Neurosciences and the Neuroscience Research Group, University of Calgary, Calgary, Alberta...