The average geometric and topological properties of open and closed equilateral polygonal chains
Seminar Room 2, Newton Institute Gatehouse
The average properties of open and closed equilateral polygonal chains depend upon geometrical and topological constraints. Several new rigorous results and numerical studies of lattice and off-lattice polygons will be presented. These include ergodic algorithms for thick 3D open chains and lattice random walks as well as the consideration of the presence and scale of entanglements such as knots and slipknots.