the convergence hypothesis maintains that an economy whose productivity lags behind other economies has a potential to grow faster. in other words, this economy can experience faster economic growth through absorbing, accepting, and using available technology experience. in this study, we have examined the relationship between tfp of industry sectors and regional convergence in iran's prov...

We introduce new diffuse approximations of the Willmore functional and flow. They are based on a corresponding approximation perimeter that has been studied by Amstutz-van Goethem [Interfaces Free Bound. 14 (2012)]. identify candidate for Γ-convergence, prove Γ-limsup statement justify convergence to flow an asymptotic expansion. Furthermore, we present numerical simulations approximation.

We present a novel free-energy calculation method that constructively integrates two distinct classes of nonequilibrium sampling techniques, namely, driven (e.g., steered molecular dynamics) and adaptive-bias (e.g., metadynamics) methods. By employing nonequilibrium work relations, we design a biasing protocol with an explicitly time- and history-dependent bias that uses on-the-fly work measure...

A wide range of free boundary problems occurring in engineering and industry can be rewritten as a minimization problem for a strictly convex, piecewise smooth but non{diierentiable energy functional. The fast solution of related discretized problems is a very delicate question, because usual Newton techniques cannot be applied. We propose a new approach based on convex minimization and constra...

We investigate the convergence of McKean-Vlasov diffusions in a non-convex landscape. These processes are linked to nonlinear partial differential equation. According to our previous results, there are at least three stationary measures under simple assumptions. Hence, the convergence problem is not classical like in the convex case. By using the method in [Benedetto, Caglioti, Carrillo, Pulvir...

Convergence is an issue being widely concerned about. Thus, in this paper, we mainly put forward two types of concepts of convergence in mean and convergence in distribution for the sequence of uncertain random variables. Then some of theorems are proved to show the relations among the three convergence concepts that are convergence in mean, convergence in measure and convergence in distributio...

Applications such as object digitizing, object recognition and object inspection need efficient surface matching algorithms. Several variants of an iterative closest point (ICP) matching algorithm have been proposed for such tasks. This paper proposes and analyzes a multi-feature ICP matching algorithm that includes the surface color and the surface orientation information. The matching error m...

A wide range of free boundary problems occurring in engineering and industry can be rewritten as a minimization problem for a strictly convex, piecewise smooth but non–differentiable energy functional. The fast solution of related discretized problems is a very delicate question, because usual Newton techniques cannot be applied. We propose a new approach based on convex minimization and constr...

In the continuation of [DF], we study reversible reaction-diffusion equations via entropy methods (based on the free energy functional) for a 1D system of four species. We improve the existing theory by getting 1) almost exponential convergence in L1 to the steady state via a precise entropy-entropy dissipation estimate, 2) an explicit global L ∞ bound via interpolation of a polynomially growin...

We consider orthonormal expansions where the basis functions are governed by some free parameters. If the basis functions adhere to a certain differential or difference equation, then an expression can be given for a specific enforced convergence rate criterion as well as an upper bound for the quadratic truncation error. This expression is a function of the free parameters and some simple sign...