@article{2852,
abstract = {A robust combiner for hash functions takes two candidate implementations and constructs a hash function which is secure as long as at least one of the candidates is secure. So far, hash function combiners only aim at preserving a single property such as collision-resistance or pseudorandomness. However, when hash functions are used in protocols like TLS they are often required to provide several properties simultaneously. We therefore put forward the notion of robust multi-property combiners and elaborate on different definitions for such combiners. We then propose a combiner that provably preserves (target) collision-resistance, pseudorandomness, and being a secure message authentication code. This combiner satisfies the strongest notion we propose, which requires that the combined function satisfies every security property which is satisfied by at least one of the underlying hash function. If the underlying hash functions have output length n, the combiner has output length 2 n. This basically matches a known lower bound for black-box combiners for collision-resistance only, thus the other properties can be achieved without penalizing the length of the hash values. We then propose a combiner which also preserves the property of being indifferentiable from a random oracle, slightly increasing the output length to 2 n+ω(log n). Moreover, we show how to augment our constructions in order to make them also robust for the one-wayness property, but in this case require an a priory upper bound on the input length.},
author = {Fischlin, Marc and Lehmann, Anja and Pietrzak, Krzysztof Z},
journal = {Journal of Cryptology},
number = {3},
pages = {397 -- 428},
publisher = {Springer},
title = {{Robust multi-property combiners for hash functions}},
doi = {10.1007/s00145-013-9148-7},
volume = {27},
year = {2014},
}
@inproceedings{2905,
abstract = {Persistent homology is a recent grandchild of homology that has found use in
science and engineering as well as in mathematics. This paper surveys the method as well
as the applications, neglecting completeness in favor of highlighting ideas and directions.},
author = {Edelsbrunner, Herbert and Morozovy, Dmitriy},
location = {Kraków, Poland},
pages = {31 -- 50},
publisher = {European Mathematical Society Publishing House},
title = {{Persistent homology: Theory and practice}},
doi = {10.4171/120-1/3},
year = {2014},
}
@inproceedings{8044,
abstract = {Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature properties of a system is the structure of the excitation spectrum, which is the part of the spectrum close to the spectral bottom. We present recent progress on this question for bosonic many-body quantum systems with weak two-body interactions. Such system are currently of great interest, due to their experimental realization in ultra-cold atomic gases. We investigate the accuracy of the Bogoliubov approximations, which predicts that the low-energy spectrum is made up of sums of elementary excitations, with linear dispersion law at low momentum. The latter property is crucial for the superfluid behavior the system.},
author = {Seiringer, Robert},
booktitle = {Proceeding of the International Congress of Mathematicans},
isbn = {9788961058063},
location = {Seoul, South Korea},
pages = {1175--1194},
publisher = {Kyung Moon SA},
title = {{Structure of the excitation spectrum for many-body quantum systems}},
volume = {3},
year = {2014},
}
@article{8500,
abstract = {The main model studied in this paper is a lattice of pendula with a nearest‐neighbor coupling. If the coupling is weak, then the system is near‐integrable and KAM tori fill most of the phase space. For all KAM trajectories the energy of each pendulum stays within a narrow band for all time. Still, we show that for an arbitrarily weak coupling of a certain localized type, the neighboring pendula can exchange energy. In fact, the energy can be transferred between the pendula in any prescribed way.},
author = {Kaloshin, Vadim and Levi, Mark and Saprykina, Maria},
issn = {0010-3640},
journal = {Communications on Pure and Applied Mathematics},
keywords = {Applied Mathematics, General Mathematics},
number = {5},
pages = {748--775},
publisher = {Wiley},
title = {{Arnol′d diffusion in a pendulum lattice}},
doi = {10.1002/cpa.21509},
volume = {67},
year = {2014},
}
@inproceedings{1702,
abstract = {In this paper we present INTERHORN, a solver for recursion-free Horn clauses. The main application domain of INTERHORN lies in solving interpolation problems arising in software verification. We show how a range of interpolation problems, including path, transition, nested, state/transition and well-founded interpolation can be handled directly by INTERHORN. By detailing these interpolation problems and their Horn clause representations, we hope to encourage the emergence of a common back-end interpolation interface useful for diverse verification tools.},
author = {Gupta, Ashutosh and Popeea, Corneliu and Rybalchenko, Andrey},
booktitle = {Electronic Proceedings in Theoretical Computer Science, EPTCS},
location = {Vienna, Austria},
pages = {31 -- 38},
publisher = {Open Publishing},
title = {{Generalised interpolation by solving recursion free-horn clauses}},
doi = {10.4204/EPTCS.169.5},
volume = {169},
year = {2014},
}