The notion of Schmidt rank/strength for a collection of m
polynomials plays an important role in additive combinatorics,
number theory and commutative algebra; high rank collections of
polynomials are “psuedorandom”. An arbitrary collection
of...
First-passage percolation studies the geometry obtained from a
random perturbation of Euclidean geometry. In the discrete planar
setting, one assigns random, independent and identically
distributed, lengths to the edges of the lattice Z^2 and...
One of the strongest predictions of the standard cold dark
matter paradigm is the hierarchy of structure down to Earth-mass
scales. However, individual self-bound clumps of dark
matter--"halos"--are difficult to detect directly. Instead,
we use...
