Symmetry plays fundamental role in physics and the nature of symmetry changes non-Hermitian physics. Here symmetry-protected scattering linear systems is investigated by employing discrete symmetries that classify random matrices. The even-parity impose strict constraints on coefficients: time-reversal (C K) protect symmetric transmission or reflection; pseudo-Hermiticity (Q symmetry) inversion...

The nature of the ocean is random and, as a result, marine structures face extreme, non-linear load effects. Estimating extreme responses said often reduces to purely probabilistic approaches involve considerable amount conjecture. A method developed in this paper conserve original system information without need for high fidelity Monte Carlo Simulations. Here, an iterative linearization estima...