Quantified asymptotic behaviour of Banach space operators and applications to iterative projection methods

We present an extension of our earlier work [Ritt operators and convergence in the method of alternating projections, J. Approx. Theory, 205:133-148, 2016] by proving a general asymptotic result for orbits of an operator acting on a reflexive Banach space. This result is obtained under a condition involving the growth of the resolvent, and we also discuss conditions involving the location and the geometry of the numerical range of the operator. We then apply the general results to some classes of iterative projection methods in approximation theory, such as the Douglas-Rachford splitting method and, under suitable geometric conditions either on the ambient Banach space or on the projection operators, the method of alternating projections

THE TRUE AND FAIR VIEW CONCEPT IN ROMANIA: A CASE STUDY OF CONCEPT TRANSFERABILITY

There is an enormous literature relating to the true and fair view (hereafter TFV). We are concerned with how the concept is actually perceived by various actors in an emerging economy which has only recently joined the European Union, i.e. Romania. Romania has a code law system with an obvious preference for the legal form. Two main steps have been taken for the purpose of our study. First, textual analysis of all accounting regulations has been performed with respect to the provisions regarding the TFV concept. Second, nine in-depth semi-structured interviews have been conducted with top representatives of the Romanian regulator, preparers, auditors and professional bodies. The perception on TFV depends firstly on the category: for auditors, this is a guide or a vital concept, closely related to substance over form, relevance and usefulness for users, while for regulators and preparers, TFV is primarily compliance with the rules.true and fair view ; true and fair view override ; Romania

Robust Hyperproperty Preservation for Secure Compilation (Extended Abstract)

We map the space of soundness criteria for secure compilation based on the preservation of hyperproperties in arbitrary adversarial contexts, which we call robust hyperproperty preservation. For this, we study the preservation of several classes of hyperproperties and for each class we propose an equivalent "property-free" characterization of secure compilation that is generally better tailored for proofs. Even the strongest of our soundness criteria, the robust preservation of all hyperproperties, seems achievable for simple transformations and provable using context back-translation techniques previously developed for showing fully abstract compilation. While proving the robust preservation of hyperproperties that are not safety requires such powerful context back-translation techniques, for preserving safety hyperproperties robustly, translating each finite trace prefix back to a source context seems to suffice.Comment: PriSC'18 final versio

Growth, Structure and Properties of Epitaxial Thin Films of First Principles Predicted Multiferroic Bi2FeCrO6

We report the structural and physical properties of epitaxial Bi2FeCrO6 thin films on epitaxial SrRuO3 grown on (100)-oriented SrTiO3 substrates by pulsed laser ablation. The 300 nm thick films exhibit both ferroelectricity and magnetism at room temperature with a maximum dielectric polarization of 2.8 microC/cm2 at Emax = 82 kV/cm and a saturated magnetization of 20 emu/cc (corresponding to ~ 0.26 Bohr magneton per rhombohedral unit cell), with coercive fields below 100 Oe. Our results confirm the predictions made using ab-initio calculations about the existence of multiferroic properties in Bi2FeCrO6.Comment: Manuscript accepted for publication in Applied Physics Letters (in press). The paper consists of 1619 words, 13 references and 3 figure