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80 papers · 1 filter
Continuity of the SLE trace in simply connected domains
Christophe Garban, Steffen Rohde, Oded Schramm
We prove that the trace in any simply connected domain is continuous (except possibly near its endpoints) if . We also prove an SLE analog of Makarov's Theorem abo…
Extended obstruction tensors and renormalized volume coefficients
C. Robin Graham
The behavior under conformal change of the renormalized volume coefficients associated to a pseudo-Riemannian metric is investigated. It is shown that they define second order full…
The transmission sense of information
C. T. Bergstrom, M. Rosvall
Biologists rely heavily on the language of information, coding, and transmission that is commonplace in the field of information theory as developed by Claude Shannon, but there is…
Generating varieties for affine Grassmannians
Peter J. Littig, Stephen A. Mitchell
We study the topological group structure (coming from loop multiplication) on an affine Grassmannian. In particular, we study finite-dimensional subvarieties that generate the homo…
Stimulus-dependent correlations and population codes
Kresimir Josic, Eric Shea-Brown, Brent Doiron +1
The magnitude of correlations between stimulus-driven responses of pairs of neurons can itself be stimulus-dependent. We examine how this dependence impacts the information carried…
Invisibility and Inverse Problems
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
This survey of recent developments in cloaking and transformation optics is an expanded version of the lecture by Gunther Uhlmann at the 2008 Annual Meeting of the American Mathema…