It is shown there that an infinite connected planar graph with a uniform upper bound on vertex degree and rapidly decreasing Green's function (relative to the simple random walk) has infinitely many pairwise finitely-intersecting ...

Let G be a countable group and u a symmetric and aperiodic probability measure on G . We show that G is amenable if and only if every positive superharmonic function is nearly constant on certain arbitrarily large subsets ...

Given a simple random walk on an undirected connected graph, the commute time of the vertices x and y is defined as C(x,y) = ExTy+EyTx. We give a new proof, based on the optional sampling theorem for martingales, of the ...

Let p be a quadratic polynomial over a splitting field K, and S be the set of zeros of p. We define an associative and commutative binary relation on G ≡ K ∪ {∞ } -S so that every Moebius transformation with fixed point ...

The purpose of this article is to explore the connection between Indian nationalism and gender identity. I provide a critique of Radhakrishnan and Chatterjee's notion of the outer/inner dichotomy of Indian nationalism by ...

What are the library and information research requirements in a typical undergraduate nursing program? Do distance-learning library services provide undergraduate nursing students with the research materials they require ...

Ecological effects of natural disturbances depend on the disturbance type, frequency, intensity and spatial scale. Of the major natural disturbances in the Northeast, ice storms are more frequent than fires or wind storms. ...

This key was developed by undergraduate research students working on a project with NYDEC and the Lake Champlain Monitoring program to develop long-term data sets for Lake Champlain plankton. Funding for development of ...

This article describes a Plattsburgh State University Library and Information Ser­vices (LIS) faculty workshop on information and technology literacy. The workshop was developed in response to a call for the redraft­ ing ...

The curvatures of four mutually tangent circles with disjoint interior form what is called a Descartes quadruple. The four smallest curvatures of circles in an Apollonian circle packing form what is called a root Descartes ...