Functional Convergence of Linear Processes with Heavy-Tailed Innovations

We study convergence in law of partial sums of linear processes with heavy-tailed innovations. In the case of summable coefficients necessary and sufficient conditions for the finite dimensional convergence to an $\alpha$-stable L\'evy Motion are given. The conditions lead to new, tractable sufficient conditions in the case $\alpha \leq 1$. In the functional setting we complement the existing results on $M_1$-convergence, obtained for linear processes with nonnegative coefficients by Avram and Taqqu (1992) and improved by Louhichi and Rio (2011), by proving that in the general setting partial sums of linear processes are convergent on the Skorokhod space equipped with the $S$ topology, introduced by Jakubowski (1997).Comment: 39 pages; revised version of arxiv 1209.114

Implementing of learning centers in a resource room for primary learning disabled children

The purpose of this paper, therefore, was to evaluate the need (why) for a resource room, its advantages and disadvantages, what it does for the learning disabled child academically and socially what is its administrative structure and how this academic and social achievement is accomplished

Experiments as a Tool of Verifying Efficiency of Implicitly Agreed-Upon Market Organizations

We analyse the possibility of an experimental study of the efficiency of market institutional structures. In the paper “On the new institutionalism of markets: the market as an organization” by R. Richter, the implicitly agreed upon market organization is regarded as a Nash equilibrium of a game between potential market participants. The solution of such coordination problem is not necessarily Pareto-efficient but could be efficient given assumptions of New Institutional Economics (i. e. could be NIE-efficient). This framework can be very helpful as a descriptive tool used to explain the persistence or transition of market institutions, but in can be difficult to be verified empirically.Economic experiments have been successfully applied to analyse market institutions and to compare their efficiency. In the paper, we demonstrate how this methodology could be used to analyse the “spontaneous” market organizations reached as a tacit agreement in a coordination problem. We also advocate that economic experiments can be a very useful tool to verify the efficiency of such institutions

Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition

Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root of the viscosity. Unlike previous results on LDP for hydrodynamical models, the weak convergence is proven by tightness properties of the distribution of the solution in appropriate functional spaces

Software Protection

A computer system's security can be compromised in many ways a denial-of-service attack can make a server inoperable, a worm can destroy a user's private data, or an eavesdrop per can reap financial rewards by inserting himself in the communication link between a customer and her bank through a man-in-the-middle (MITM) attack. What all these scenarios have in common is that the adversary is an untrusted entity that attacks a system from the outside-we assume that the computers under attack are operated by benign and trusted users. But if we remove this assumption, if we allow anyone operating a computer system- from system administrators down to ordinary users-to compromise that system's security, we find ourselves in a scenario that has received comparatively little attention. Methods for protecting against MATE attacks are variously known as anti-tamper techniques, digital asset protection, or, more