Banff International Research Station for Mathematical Innovation and Discovery
Abstract
Motivated in part by experimental and molecular dynamics studies of the entanglement characteristics of DNA in nanonchannels, we have been studying the statistics of knotting and linking for equilibrium lattice models of polymers confined to lattice tubes. In this talk I will present our theorems and transfer-matrix-based numerical results for the link statistics for self-avoiding polygon models in small tubes. The main focus will be on the special case of pairs of polygons which span a lattice tube. In this case, it is known that all but exponentially few of the configurations will be linked as the span of the polygons goes to infinity. However there are many interesting open questions about configurational statistics for pairs of polygons with fixed link type and I will introduce some of those.Non UBCUnreviewedAuthor affiliation: University of SaskatchewanFacult
