Polyelectrolyte Solutions with Multivalent Salts

We investigate the thermodynamic properties of a polyelectrolyte solution in a presence of {\it multivalent} salts. The polyions are modeled as rigid cylinders with the charge distributed uniformly along the major axis. The solution, besides the polyions, contain monovalent and divalent counterions as well as monovalent coions. The strong electrostatic attraction existing between the polyions and the counterions results in formation of clusters consisting of one polyion and a number of associated monovalent and divalent counterions. The theory presented in the paper allows us to explicitly construct the Helmholtz free energy of a polyelectrolyte solution. The characteristic cluster size, as well as any other thermodynamic property can then be determined by an appropriate operation on the free energy

G-valued crystalline representations with minuscule p-adic Hodge type

We study G-valued semi-stable Galois deformation rings where G is a reductive group. We develop a theory of Kisin modules with G-structure and use this to identify the connected components of crystalline deformation rings of minuscule p-adic Hodge type with the connected components of moduli of "finite flat models with G-structure." The main ingredients are a construction in integral p-adic Hodge theory using Liu's theory of $(\varphi, \widehat{G})$-modules and the local models constructed by Pappas and Zhu

Book review: breakout nations: in pursuit of the nextEconomic miracles

The argument of Breakout Nations is that the astonishingly rapid growth over the last decade of the world’s celebrated emerging markets is coming to an end. The era of easy money and easy growth is over. China, in particular, will soon slow, but its place will not necessarily be taken by Brazil, Russia or India, all of which Ruchir Sharma shows have weaknesses and difficulties often overlooked in the inflated expectations and emerging markets mania of the past decade. Scott Levin hopes that Sharma is putting his money where his mouth is, because many readers certainly will be

Cost of Survival for Large Rapidity Gaps

In this talk, given at "RunII QCD and weak boson WS", we report on calculations of the survival probability of the large rapidity gap (LRG) processes and its energy behaviour.Comment: 4 pages, 3 figure