In this paper, we show that an $L_1$-2-type surface in the three-dimensional hyperbolic space $H^3subset R^4_1$ either is an open piece of a standard Riemannian product $ H^1(-sqrt{1+r^2})times S^{1}(r)$, or it has non constant mean curvature, non constant Gaussian curvature, and non constant principal curvatures.

The relations between the resource theoretic measures of quantum coherence are rigorously investigated for various Markovian and non-Markovian channels two-qubit $X$ states with specific attention to maximum minimum attainable usefulness these in performing teleportation noisy environment. investigation has revealed that under both dephasing dissipative type noises maximally entangled mixed Wer...

We exploit recent results on the stability and performance analysis of positive Markov jump linear systems (MJLS) for the design of interval observers for MJLS with and without delays. While the conditions for the L1 performance are necessary and sufficient, those for the L∞ performance are only sufficient. All the conditions are stated as linear programs that can be solved very efficiently. Tw...