The growth exponent for planar loop-erased random walk

We give a new proof of a result of Kenyon that the growth exponent for loop-erased random walks in two dimensions is 5/4. The proof uses the convergence of LERW to Schramm-Loewner evolution with parameter 2, and is valid for irreducible bounded symmetric random walks on any two-dimensional discrete lattice.Comment: 62 pages, 7 figures; fixed typos, added reference

Rahner\u27s Primordial Words and Bernstein\u27s Metaphorical Leaps: The Affinity of Art with Religion and Theology

Karl Rahner\u27s notion of primordial words and Leonard Bernstein\u27s conception of music as intrinsically metaphorical are engaged to suggest that there is a fundamental affinity between artistic and religious imagination. The affinity is grounded, in part at least, in metaphoric process—an elemental cognitive act in which the human spirit is stretched so that its expressions can address what lies beyond them

Vacant and Abandoned Housing in Buffalo

Buffalo has the oldest housing stock in the nation, with the largest percentage (67%) of homes built before 1940. In Erie County in 2013 there were 275 cases of elevated lead levels in children. The City of Buffalo has three of five zip codes in state with worst lead poisoning levels and accounts for roughly 95% of county lead cases. As of 2008, 13%-22% of children in the City suffered from asthma. In 2006, the City received 7,460 calls regarding housing violations and 1,612 regarding violations at vacant houses

Fiscal policy and growth in the context of European integration

The paper considers the issue of whether a supranational fiscal policy in Europe is needed, and, if so what responsibilities it should undertake. The literature on endogenous growth and the principle of subsidiarity suggest that such a policy should be limited to externalities or economies of scale not captured at the national level. These may include spending on research and development and transportation or knowledge networks, and harmonization of social security designed to enhance labor mobility. EU-wide stabilization policy or enhanced EU redistribution does not seem justified, however.