In RMT the hard edge refers to the scaling limits of the minimal eigenvalues for matrices of sample covariance type. In the classical invariant ensembles, the limit distributions are characterized by a Bessel kernel and an associated Painleve III equation (as opposed to the better known Airy kernel and Painleve II descriptions at the 'soft' edge...
Creator:
Rider, Brian (University of Colorado)
Created:
2012-06-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Electromagnetic duality (also known as S-duality), discovered by physicists in the 1980s, is a conjectural equivalence between 4d supersymmetric quantum gauge theories associated to two compact Lie groups that are Langlands dual to each other. Starting with the pioneering work by Kapustin and Witten, a great effort has been made in the past doze...
Creator:
Frenkel, Edward (University of California, Berkeley)
Created:
2018-11-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Cosmic Web is the fundamental spatial organization of matter on scales of a few up to a hundred Megaparsec, scales at which the Universe still resides in a state of moderate dynamical evolution. galaxies, intergalactic gas and dark matter exist in a wispy weblike spatial arrangement consisting of dense compact clusters, elongated filaments, ...
Creator:
van de Weijgaert, Rien (Rijksuniversiteit te Groningen)
Created:
2013-10-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The phase retrieval problem is the problem of reconstructing an unknown signal from its Fourier intensity function. This problem has a long history in physics and engineering and occurs in contexts such as X-ray crystallography, speech processing and computational biology. As stated, the phase retrieval problem is ill-posed as there may be up to...
Creator:
Edidin, Dan (University of Missouri)
Created:
2019-09-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The molecular basis of life rests on the activity of biologicalmacro-molecules, mostly nucleic acids and proteins.A perhaps surprising finding that crystallized over the last handful ofdecades is that geometric reasoning plays a major role in our attemptto understand these activities.In my presentations, I will explore the connection between the...
Creator:
Koehl, Patrice (University of California, Davis)
Created:
2008-01-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The representation of color for perception differs from therepresentation for displays. We consider the map from (r,g,b)-space to (Intensity, hue, saturation)-space, and show how this non-linear space is useful for sensingdevices.
Creator:
Zucker, Steven W. (Yale University)
Created:
2005-12-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The theory of smectic liquid crystals is notoriously difficult to study. Thermal fluctuations render them disordered through the Landau-Peierls instability, lead to anomalous momentum dependent elasticity, and make the nematic to smectic-A transition enigmatic, at best. I will discuss recent progress in studying large deformations of smectics wh...
Created:
2008-07-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.