Speaker:

Thomas Prellberg (QMUL)

Date/Time:

Mon, 08/11/2010 - 16:30

Room:

M103

Seminar series:

A large class of area-perimeter generating functions of vesicle models

satisfy q-deformed algebraic functional equations. In several instances

these functional equations can be solved in terms of quotients of basic

hypergeometric functions. The singular limit as q approaches 1 is of

fundamental importance in the phase diagram of the model. A rigorous

derivation of the scaling function at the critical point is based on

a particular contour integral representation of the associated basic

hypergeometric series.