Entire functions with prescribed asymptotic behavior

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

asymptotic behavior of multivariate reward processes with nonlinear reward functions

Asymptotic Behavior of Multiperiodic Functions

Let 0 < g be a dyadic H61der continuous function with period 1 and g(O) = i, and let G(x) = I-IT=0 g (x/2n). In this article we investigate the asymptotic behavior of fo T [G(x)lqdx and 1 n ~ k = 0 log g(2k x ) using the dynamical system techniques: the pressure function and the variational principle. An algorithm to calculate the pressure is presented. The results are applied to study the regu...

The Asymptotic Developments of a Class of Entire Functions

Functions with prescribed singularities

The distributional k-dimensional Jacobian of a map u in the Sobolev space W 1,k−1 which takes values in the the sphere S can be viewed as the boundary of a rectifiable current of codimension k carried by (part of) the singularity of u which is topologically relevant. The main purpose of this paper is to investigate the range of the Jacobian operator; in particular, we show that any boundary M o...