Subsets A of an abelian group with a small doubling |A+A|/|A|
have been extensively studied, and results of Freiman, Ruzsa and
Green give fundamental structural descriptions of such sets. These
have important applications across combinatorics and...
We consider an energy model for N ordered elastic membranes
subject to forcing and boundary conditions. The heights of the
membranes are described by real functions u_1, u_2,...,u_N, which
minimize an energy functional involving the Dirichlet...
We study multiply warped product geometries
MN:=Bn×Fn1×···×FnA
g = g_B + \sum_{a=1}^A v_a^2 g_{F^{n_a}} and show that for an
open set of initial data within multiply warped product geometries
the Ricci flow starting at any of those develops...
An old question of Poincaré concerns creating periodic orbits
via perturbations of a flow/diffeomorphism. While pseudoholomorphic
methods have successfully addressed this question in dimensions
2-3, the higher-dimensional case remains less...
We will describe emerging understanding of the structures
related to the arithmetic of Zeta and Multizeta values for function
fields through various results and conjectures.
I will discuss a new method for analyzing the morphology of
supernova remnants (SNRs) by using power specula analysis to
diagnose the drivers responsible for structure at different angular
scales. Using a suite of hydrodynamic models of the Rayleigh...
In a 3-𝖷𝖮𝖱 game , the verifier samples a challenge (x,y,z)∼μ
where μ is a probability distribution over Σ×Γ×Φ, and a map
t:Σ×Γ×Φ→ for a finite Abelian group defining a constraint.
The verifier sends the questions x, y and z to the
players...
I will describe constructions of lattice field theories that
assign a single bosonic variable to each site, rather a conjugate
pair x,p. The information to realize a non-trivial dynamics is
realized by non-trivial Poisson brackets between nearest...
A sparsification of a structure, with respect to a class of
queries, produces a compressed representation of the structure
while answering every query in the class approximately correctly.
The seminal example of sparsification is "graph...
