We study the problem of transforming a set pure bipartite states into another using deterministic LOCC (local operations and classical communication). Necessary conditions for existence such transformation are obtained constraints on state transformation, entanglement, distinguishability. These shown to be independent but not sufficient. discuss their satisfiability classify all possible input-...

We consider the Oberbeck–Boussinesq system with non-local boundary conditions arising as a singular limit of full Navier–Stokes–Fourier in regime low Mach and Froude numbers. The existence strong solutions is shown on maximal time interval <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-bracket 0 comma upper T Subscript normal m...

Abstract This study shows that the geographic network of public firms facilitates propagation local economic conditions across United States. We identify connections among U.S. states based on 10‐K listings and show returns liquidity headquartered in connected exhibit excess comovement. The also generate spillover effects where economy a state affects its amplifies impact economy. In particular...