We study the problem of sparse recovery in context compressed sensing. This is to minimize sensing error linear measurements by vectors with at most s non-zero entries. develop so-called critical point theory for recovery. done introducing nondegenerate M-stationary points which adequately describe global structure this non-convex optimization problem. show that all are generically nondegenerat...

The evolution of a heavy ion collision passes close to the O(4) critical point QCD, where fluctuations order parameter are expected be enhanced. Using appropriate stochastic hydrodynamic equations in mean field near pseudo-critical point, we compute how these enhanced modify transport coefficients QCD. Finally, estimate enhancement soft pion yields, which provides plausible explanation for exce...

The study of liquid-liquid phase transitions has attracted considerable attention. One interesting example this phenomenon is phosphorus, for which the existence a first-order transition between low density insulating molecular and conducting polymeric been experimentally established. In Letter, we model by an ab initio quality dynamics simulation explore large portion liquid section diagram. W...

The deconfined quantum critical point (DQCP) between the N\'eel and valence bond solid order was originally proposed in spin systems with a local Hamiltonian. In last few years analogs of DQCPs nonlocal interactions have been explored, which can lead to rich possibilities. either arise from an instantaneous long-range interaction Hamiltonian, or gapless modes that reside one higher spatial dime...