42,146 research outputs found
Bowen Measure From Heteroclinic Points
We present a new construction of the entropy-maximizing, invariant
probability measure on a Smale space (the Bowen measure). Our construction is
based on points that are unstably equivalent to one given point, and stably
equivalent to another: heteroclinic points. The spirit of the construction is
similar to Bowen's construction from periodic points, though the techniques are
very different. We also prove results about the growth rate of certain sets of
heteroclinic points, and about the stable and unstable components of the Bowen
measure. The approach we take is to prove results through direct computation
for the case of a Shift of Finite type, and then use resolving factor maps to
extend the results to more general Smale spaces
Library 2.015 Conference: An Open Dialog About the Future of Libraries
The Library 2.0 Virtual Worldwide Conference series aims to create an open dialog about the future of libraries in the digital age. At Library 2.015, the fifth conference in the series, thousands of participants gathered online to share their knowledge, experience, and ideas on the evolution of libraries and the information profession. This article reports on some highlights of the October 20, 2015, conference. Archived conference presentations remain free, online, and open to all at http://tinyurl.com/Libr2015presentations
New horizons: for New England agriculture
In 2005, the national Farm Credit System undertook a comprehensive research project to examine agriculture and rural America and analyze trends. The author tackles the implications for New England and suggests appropriate policy goals.Agriculture - New England
K-theoretic duality for shifts of finite type
C*-algebras generalizing Cuntz-Krieger algebras can be associated to
hyperbolic homeomorphisms of compact metric spaces. They satisfy a
non-commutative form of Spanier-Whitehead duality with respect to K-theory. We
prove this for the case of subshifts of finite type. The special feature of the
present situation is that the constructions are all done on the full Fock space
and are very explicit, while the general theorem requires much more abstract
machinery.Comment: 23 pages, Latex fil
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