Week of Events
A renormalization approach to existence of the blow-up solutions of the Navier-Stokes equations (Denis Gaidashev, Uppsala University, Sweden)
A renormalization approach to existence of the blow-up solutions of the Navier-Stokes equations (Denis Gaidashev, Uppsala University, Sweden)
The Navier-Stokes existence and smoothness problem is one of the most important open problems in modern mathematics. Ya. Sinai and D. Li have proposed a renormalization approach to constructing a counter-example to existence. In this approach, existence of a blow-up solution (a solution whose energy becomes infinite in finite time) is equivalent to existence of fixed […]
Weil sums of binomials: properties and applications (Daniel Katz, CSUN)
Weil sums of binomials: properties and applications (Daniel Katz, CSUN)
We consider sums in which an additive character of a finite field F is applied to a binomial whose individual terms (monomials) become permutations of F when regarded as functions. These Weil sums characterize the nonlinearity of power permutations of interest in cryptography. They also tell us about the correlation of linear recursive sequences over finite fields that are used […]
Convolutional Dictionary Learning for Tomographic Reconstruction (Cristina Garcia-Cardona, LANL)
Convolutional Dictionary Learning for Tomographic Reconstruction (Cristina Garcia-Cardona, LANL)
Convolutional sparse representation is an efficient tool for computing sparse representations for entire signals in terms of sums of a set of convolutions with dictionary filters. Unlike representations that are based on overlapping image patches, the convolutional representation optimizes over the entire image, yielding representations that are very sparse both spatially and across the filters. […]