In recent work, Alladi, Andrews and Gordon discovered a key identity which captures several fundamental theorems in partition theory. In this paper we construct a combinatorial bijection which explains this key identity. This immediately leads to a better understanding of a deep theorem of Göllnitz, as well as Jacobi’s triple product identity and Schur’s partition theorem.

In 2005, British Chancellor Gordon Brown asked Sir Nicholas Stern to conduct a major review of the economics of climate change, as a guide to developing government policy. Stern is a well-respected, established economist: he has been the chief economist at the World Bank, the second permanent secretary of HM Treasury, and the head of the (UK) Government Economic Service. It is not a background ...

We construct an action for the N = 2 supersymmetric sine-Gordon model on the half-line, which we argue is both supersymmetric and integrable. The boundary interaction depends on three continuous boundary parameters, as well as the bulk mass parameter.

I am grateful to the Kauffman Foundation for funding the field study from which the ideas for this paper have emerged, to Elizabeth Gordon, the Research Associate on the study, and to Massimo Cordella who provided outstanding assistance for this paper.

Zhan Hu, Sima Singha, Daniel H. Rich, and Robert J. Gordon Department of Chemistry, University of Illinois at Chicago, Chicago, Illinois 60607, USA Institute of Atomic and Molecular Physics, Jilin University, Changchun 130021, People’s Republic of China Department of Physics and The Ilse Katz Institute for Nanoscale Science and Technology, Ben-Gurion University of the Negev, P.O.B 653, Beer-She...

Generalizing the concept of Gordon potentials to measures we prove a version of Gordon’s theorem for measures as potentials and show absence of eigenvalues for these one-dimensional Schrödinger operators.

We show, for each q-continued fraction G(q) in a certain class of continued fractions, that there is an uncountable set of points on the unit circle at which G(q) diverges in the general sense. This class includes the Rogers-Ramanujan continued fraction and the three Ramanujan-Selberg continued fraction. We discuss the implications of our theorems for the general convergence of other q-continue...

There is an urgent need for the Chinese market to conduct analytical research on actual value of stocks rationally, and issue determining whether a store has investment become hot topic. The dividend discounting model proposed by Williams method calculate study intrinsic common using tip method. With help this model, investors can make more accurate, objective, rational judgments with support l...

We explore various aspects of General Gauge Mediation (GGM). We present a reformulation of the correlation functions used in GGM, and further elucidate their IR and UV properties. Additionally we clarify the issue of UV sensitivity in the calculation of the soft masses in the MSSM, highlighting the role of the supertrace over the messenger spectrum. Finally, we present weakly coupled messenger ...