443 research outputs found

    Letter from the Visual Editors

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    Diffusion basis spectrum imaging for identifying pathologies in MS subtypes

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    Diffusion basis spectrum imaging (DBSI) combines discrete anisotropic diffusion tensors and the spectrum of isotropic diffusion tensors to model the underlying multiple sclerosis (MS) pathologies. We used clinical MS subtypes as a surrogate of underlying pathologies to assess DBSI as a biomarker of pathology in 55 individuals with MS. Restricted isotropic fraction (reflecting cellularity) and fiber fraction (representing apparent axonal density) were the most important DBSI metrics to classify MS using brain white matter lesions. These DBSI metrics outperformed lesion volume. When analyzing the normal-appearing corpus callosum, the most significant DBSI metrics were fiber fraction, radial diffusivity (reflecting myelination), and nonrestricted isotropic fraction (representing edema). This study provides preliminary evidence supporting the ability of DBSI as a potential noninvasive biomarker of MS neuropathology

    Fredholm Indices and the Phase Diagram of Quantum Hall Systems

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    The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic ``phase diagram'' of Fredholm indices associated with bounded and Toeplitz operators. We discuss the possible relevance of our results to the phase diagram of disordered integer quantum Hall systems.Comment: 25 pages, including 7 embedded figures. The mathematical content of this paper is similar to our previous paper math-ph/0003003, but the physical analysis is ne

    Visibility diagrams and experimental stripe structure in the quantum Hall effect

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    We analyze various properties of the visibility diagrams that can be used in the context of modular symmetries and confront them to some recent experimental developments in the Quantum Hall Effect. We show that a suitable physical interpretation of the visibility diagrams which permits one to describe successfully the observed architecture of the Quantum Hall states gives rise naturally to a stripe structure reproducing some of the experimental features that have been observed in the study of the quantum fluctuations of the Hall conductance. Furthermore, we exhibit new properties of the visibility diagrams stemming from the structure of subgroups of the full modular group.Comment: 8 pages in plain TeX, 7 figures in a single postscript fil

    Locally Decodable and Updatable Non-Malleable Codes and Their Applications

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    Non-malleable codes, introduced as a relaxation of error-correcting codes by Dziembowski, Pietrzak and Wichs (ICS \u2710), provide the security guarantee that the message contained in a tampered codeword is either the same as the original message or is set to an unrelated value. Various applications of non-malleable codes have been discovered, and one of the most significant applications among these is the connection with tamper-resilient cryptography. There is a large body of work considering security against various classes of tampering functions, as well as non-malleable codes with enhanced features such as leakage resilience. In this work, we propose combining the concepts of non-malleability, leakage resilience, and locality in a coding scheme. The contribution of this work is three-fold: 1. As a conceptual contribution, we define a new notion of locally decodable and updatable non-malleable code that combines the above properties. 2. We present two simple and efficient constructions achieving our new notion with different levels of security. 3. We present an important application of our new tool--securing RAM computation against memory tampering and leakage attacks. This is analogous to the usage of traditional non-malleable codes to secure implementations in the circuit model against memory tampering and leakage attacks

    Herschel observations of EXtraordinary Sources: Analysis of the full Herschel/HIFI molecular line survey of Sagittarius B2(N)

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    A sensitive broadband molecular line survey of the Sagittarius B2(N) star-forming region has been obtained with the HIFI instrument on the Herschel Space Observatory, offering the first high-spectral resolution look at this well-studied source in a wavelength region largely inaccessible from the ground (625-157 um). From the roughly 8,000 spectral features in the survey, a total of 72 isotopologues arising from 44 different molecules have been identified, ranging from light hydrides to complex organics, and arising from a variety of environments from cold and diffuse to hot and dense gas. We present an LTE model to the spectral signatures of each molecule, constraining the source sizes for hot core species with complementary SMA interferometric observations, and assuming that molecules with related functional group composition are cospatial. For each molecule, a single model is given to fit all of the emission and absorption features of that species across the entire 480-1910 GHz spectral range, accounting for multiple temperature and velocity components when needed to describe the spectrum. As with other HIFI surveys toward massive star forming regions, methanol is found to contribute more integrated line intensity to the spectrum than any other species. We discuss the molecular abundances derived for the hot core, where the local thermodynamic equilibrium approximation is generally found to describe the spectrum well, in comparison to abundances derived for the same molecules in the Orion KL region from a similar HIFI survey.Comment: Accepted to ApJ. 64 pages, 14 figures. Truncated abstrac

    Leakage-Resilient Public-Key Encryption from Obfuscation

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    The literature on leakage-resilient cryptography contains various leakage models that provide different levels of security. In this work, we consider the \emph{bounded leakage} and the \emph{continual leakage} models. In the bounded leakage model (Akavia et al. -- TCC 2009), it is assumed that there is a fixed upper bound LL on the number of bits the attacker may leak on the secret key in the entire lifetime of the scheme. Alternatively, in the continual leakage model (Brakerski et al. -- FOCS 2010, Dodis et al. -- FOCS 2010), the lifetime of a cryptographic scheme is divided into ``time periods\u27\u27 between which the scheme\u27s secret key is updated. Furthermore, in its attack the adversary is allowed to obtain some bounded amount of leakage on the current secret key during each time period. In the continual leakage model, a challenging problem has been to provide security against \emph{leakage on key updates}, that is, leakage that is a function not only of the current secret key but also the \emph{randomness used to update it}. We propose a new, modular approach to overcome this problem. Namely, we present a compiler that transforms any public-key encryption or signature scheme that achieves a slight strengthening of continual leakage resilience, which we call \emph{consecutive} continual leakage resilience, to one that is continual leakage resilient with leakage on key updates, assuming \emph{indistinguishability obfuscation} (Barak et al. --- CRYPTO 2001, Garg et al. -- FOCS 2013). Under the stronger assumption of \emph{public-coin differing-inputs obfuscation} (Ishai et al. -- TCC 2015) the leakage rate tolerated by our compiled scheme is essentially as good as that of the starting scheme. Our compiler is obtained by making a new connection between the problems of leakage on key updates and so-called ``sender-deniable\u27\u27 encryption (Canetti et al. -- CRYPTO 1997), which was recently realized for the first time by Sahai and Waters (STOC 2014). In the bounded leakage model, we develop a new approach to constructing leakage-resilient encryption from obfuscation, based upon the public-key encryption scheme from \iO and punctured pseudorandom functions due to Sahai and Waters (STOC 2014). In particular, we achieve leakage-resilient public key encryption tolerating LL bits of leakage for any LL from \iO and one-way functions. We build on this to achieve leakage-resilient public key encryption with optimal leakage rate of 1−o(1)1-o(1) based on public-coin differing-inputs obfuscation and collision-resistant hash functions. Such a leakage rate is not known to be achievable in a generic way based on public-key encryption alone. We then develop entirely new techniques to construct a new public key encryption scheme that is secure under (consecutive) continual leakage resilience (under appropriate assumptions), which we believe is of independent interest
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