The multidisciplinary Journal of Complexity publishes original research papers that contain substantial mathematical results on complexity as broadly conceived. Outstanding review papers will also be published. In the area of computational complexity, the focus is on complexity over the reals, with the emphasis on lower bounds and optimal algorithms. The Journal of Complexity also publishes articles that provide major new algorithms or make important progress on upper bounds. Other models of computation, such as the Turing machine model, are also of interest. Computational complexity results in a wide variety of areas are solicited.Areas Include: Approximation theory Biomedical computing Compressed computing and sensing Computational finance Computational number theory Computational stochastics Control theory Cryptography Design of experiments Differential equations Discrete problems Distributed and parallel computation High and infinite-dimensional problems Information-based complexity Inverse and ill-posed problems Machine learning Markov chain Monte Carlo Monte Carlo and quasi-Monte Carlo Multivariate integration and approximation Noisy data Nonlinear and algebraic equations Numerical analysis Operator equations Optimization Quantum computing Scientific computation Tractability of multivariate problems Vision and image understanding.