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I study the limit of a large random economy, where a set of consumers invests in financial instruments engineered by banks, in order to optimize their future consumption. This exercise shows that, even in the ideal case of perfect competition, where full information is available to all market participants, the equilibrium develops a marked vulnerability (or susceptibility) to market imperfectio...

Errors and error sources occurring in rotating-analyzer ellipsometry are discussed. From general considerations it is shown that a rotating-analyzer ellipsometer is inaccurate if applied at P = 00 and in cases when 0 = 0' or where A is near 00 or 1800. Window errors, component imperfections, azimuth errors and all other errors may, to first order, be treated independently and can subsequently b...

The field of device-independent quantum cryptography has seen enormous success in the past several years, including security proofs for key distribution and random number generation that account for arbitrary imperfections in the devices used. Full security proofs in the field so far are long and technically deep. In this paper we show that the concept of the mirror adversary can be used to sim...

Elastic boundary conditions play an important role in the buckling analysis of cylinders under compressive loading. These structures are used widely aerospace applications and highly sensitive to geometrical, material, loading, imperfections. In fact, presence these imperfections can lead catastrophic failure. 1968, NASA reported relations for obtaining Knockdown Factor (KDF) based on empirical...

We study transfer of a quantum state through XX spin chains with static imperfections. We combine the two standard approaches for state transfer based on (i) modulated couplings between neighboring spins throughout the spin chain and (ii) weak coupling of the outermost spins to an unmodulated spin chain. The combined approach allows us to design spin chains with modulated couplings and localize...

Light scattering is usually regarded detrimental to optical confinement in conventional lasers. In contrast, in random lasers, the confinement is caused by disorder-induced scattering. In strongly scattering media, the lasing is defined by the high-quality modes of the passive system. Thus, by incorporating and optimizing a degree of order, one can dramatically reduce the threshold of a random ...

The tolerances of a storage ring to its magnet imperfections largely depend upon the magnitude of the resulting tune shifts. A large tune shift would imply the potential danger of resonances and. hence. poor tolerances. When the errors are in field gradients or in random sextupole displacement. the cal cul ati ons of the RMS tune shi fts are strai ght forward. On the contra ry. when we cons i d...