The physics potential of the next generation of Gamma Ray Telescopes in exploring the Gamma Ray Horizon is discussed. It is shown that the reduction in the Gamma Ray detection threshold might open the window to use precise determinations of the Gamma Ray Horizon as a function of the redshift to either put strong constraints on the Extragalactic Background Light modeling or to obtain relevant in...

In this paper, robust RHC (Receding Horizon Control) method with adaptive DA converter for robotic wheelchair using EEG (Electroencephalogram) based BMI (Brain Machine Interface) is discussed. The method is developed to apply to the obstacle avoidance system of the robotic wheelchair. Some numerical examples are also included to demonstrate the effectiveness of the proposed method. Key–Words: R...

We describe an approximation scheme for a class of Hamilton-Jacobi equations associated to H1 control problems. We deene a sequence of discrete time nonlinear systems and we prove the equivalence between the discrete H1 control problem and an ergodic control problem. Then we show that the sequence of discrete H1 norms converges to the norm of the corresponding continuous problem both in the nit...

In this paper, we obtain the finite-horizon and infinite-horizon ruin probability asymptotics for risk processes with claims of subexponential tails for non-stationary arrival processes that satisfy a large deviation principle. As a result, the arrival process can be dependent, non-stationary and nonrenewal. We give three examples of non-stationary and non-renewal point processes: Hawkes proces...

A derivation of the Hawking effect is given which avoids reference to field modes above some cutoff frequency ωc ≫ M−1 in the freefall frame of the black hole. To avoid reference to arbitrarily high frequencies, it is necessary to impose a boundary condition on the quantum field in a timelike region near the horizon, rather than on a (spacelike) Cauchy surface either outside the horizon or at e...

This paper further explores the horizon e®ect in the optimal static and dynamic demand for risky assets under return predictability as documented by Barberis (2000). Contrary to the case of stocks, the optimal demand for longterm Government bonds of a buy-and-hold investor is not necessarily increasing in the investment horizon, and may in fact be decreasing for some initial levels of the predi...

A typical discrete-time sequential decision problem involves a system whose state is assumed to evolve either deterministically or probabilistically over time-periods that are often called stages. This evolution is affected by the decisions a planner makes at the beginning of each stage after observing the system state. The decision maker’s goal then is to optimize some measure of system perfor...