An Algorithm for Solving Arbitrary Linear Rational Expectations Model

We consider solutions to general linear dynamic systems, possibly singular and non square with general stability conditions. Besides constructing a general algorytm for finding solutions we provide necessary and sufficient conditions for existence of a solution.Computational Methods, Schur Decomposition, GUPTRI Decomposition, Sunspots.

On nesting nonhomothetic preferences

We consider nested utility function with nonhomothetic subutility functions. We express demand functions for aggregate goods in terms of marshalian and hicksian demands associated with the standard consumer problem of maximization of aggregate utility function. We also presents a simple method of calibrating such a demand system.demand systems; nonhomothetic preferences

Solving Models with Imperfect and Asymmetric Information

We consider linear dynamic models with rational expectations in case of incomplete and asymmetric information as well as agents heterogeneity. This problem requires solving infinite dimensional matrix equations. We propose asymptotic expansion method to reduce this problem to the finite dimensional problem.Computational Methods, Imperfect Information, Asymmetric Information, Linear Rational Expectations Model, Asymptotic Expansion.

Higher order approximations of stochastic rational expectations models

We describe algorithm to find higher order approximations of stochastic rational expectations models near the deterministic steady state. Using matrix representation of function derivatives instead of tensor representation we obtain simple expressions of matrix equations determining higher order terms.perturbation method; DSGE models

Incremental Consistency Checking in Delta-oriented UML-Models for Automation Systems

Automation systems exist in many variants and may evolve over time in order to deal with different environment contexts or to fulfill changing customer requirements. This induces an increased complexity during design-time as well as tedious maintenance efforts. We already proposed a multi-perspective modeling approach to improve the development of such systems. It operates on different levels of abstraction by using well-known UML-models with activity, composite structure and state chart models. Each perspective was enriched with delta modeling to manage variability and evolution. As an extension, we now focus on the development of an efficient consistency checking method at several levels to ensure valid variants of the automation system. Consistency checking must be provided for each perspective in isolation, in-between the perspectives as well as after the application of a delta.Comment: In Proceedings FMSPLE 2016, arXiv:1603.0857

Preparing for Growth: Human Capital Innovations in Charter Public Schools

Examines charter management organizations' strategies for boosting the supply of effective leaders and teachers, including recruiting and retaining talent, growing in-house talent; extending their reach; and importing and fostering management talent

Aspects of Density Fluctuations in Compressible MHD Turbulence

We study scaling relations of compressible isothermal strongly magnetized turbulence using numerical simulations with resolution 512$^3$. We find a good correspondence of our results with the Fleck (1996) model of compressible hydrodynamic turbulence. In particular, we find that the density-weighted velocity, i.e. $\boldsymbol{u} \equiv \rho^{1/3} \boldsymbol{v}$, proposed in Kritsuk et al. (2007) obeys the Kolmogorov scaling, i.e. ${\cal E}_{u}(k)\sim k^{-5/3}$ for the high Mach number turbulence. Similarly, we find that the exponents of the third order structure functions for $\boldsymbol{u}$ stay equal to unity for all Mach numbers studied. The scaling of higher order correlations obeys the She-L\'{e}v\^{e}que (1994) scalings corresponding to the two-dimensional dissipative structures, and this result does not change with the Mach number either. In contrast to velocity $\boldsymbol{v}$ which exhibits different scaling parallel and perpendicular to the local magnetic field, the scaling of $\boldsymbol{u}$ is similar in both directions. In addition, we find that the peaks of density create a hierarchy in which both physical and column densities decrease with the scale in accordance to the Fleck (1996) predictions. This hierarchy can be related ubiquitous small ionized and neutral structures (SINS) in the interstellar gas. We believe that studies of statistics of the column density peaks can provide both consistency check for the turbulence velocity studies and insight into supersonic turbulence, when the velocity information is not available.Comment: 10 pages, 7 figures, Proceeings for 6th Annual International Astrophysics Conference, Honolulu, 200