Institution
Technion – Israel Institute of Technology
Education•Haifa, Israel•
About: Technion – Israel Institute of Technology is a education organization based out in Haifa, Israel. It is known for research contribution in the topics: Population & Upper and lower bounds. The organization has 31714 authors who have published 79377 publications receiving 2603976 citations. The organization is also known as: Technion Israel Institute of Technology & Ṭekhniyon, Makhon ṭekhnologi le-Yiśraʼel.
Topics: Population, Upper and lower bounds, Nonlinear system, Decoding methods, Large Hadron Collider
Papers published on a yearly basis
Papers
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TL;DR: The eigenstate thermalization hypothesis (ETH) as mentioned in this paper is a natural extension of quantum chaos and random matrix theory (RMT) and it allows one to describe thermalization in isolated chaotic systems without invoking the notion of an external bath.
Abstract: This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first part, ETH is introduced as a natural extension of ideas from quantum chaos and random matrix theory (RMT). To this end, we present a brief overview of classical and quantum chaos, as well as RMT and some of its most important predictions. The latter include the statistics of energy levels, eigenstate components, and matrix elements of observables. Building on these, we introduce the ETH and show that it allows one to describe thermalization in isolated chaotic systems without invoking the notion of an external bath. We examine numerical evidence of eigenstate thermalization from studies of many-body lattice systems. We also introduce the concept of a quench as a means of taking isolated systems out of equilibrium, and discuss results of numerical experiments on quantum quenches. The second part of the review explores the implications of quantum chaos and ETH to thermodynamics. Basic thermodynamic relations are derived, including the second law of thermodynamics, the fundamental thermodynamic relation, fluctuation theorems, and the Einstein and Onsager relations. In particular, it is shown that quantum chaos allows one to prove these relations for individual Hamiltonian eigenstates and thus extend them to arbitrary stationary statistical ensembles. We then show how one can use these relations to obtain nontrivial universal energy distributions in continuously driven systems. At the end of the review, we briefly discuss the relaxation dynamics and description after relaxation of integrable quantum systems, for which ETH is violated. We introduce the concept of the generalized Gibbs ensemble, and discuss its connection with ideas of prethermalization in weakly interacting systems.
985 citations
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TL;DR: It is concluded that nature employs metastable states in the heterogeneous wetting regime as the key to superhydrophobicity on Lotus leaves.
Abstract: To learn how to mimic the Lotus effect, superhydrophobicity of a model system that resembles the Lotus leaf is theoretically discussed. Superhydrophobicity is defined by two criteria: a very high water contact angle and a very low roll-off angle. Since it is very difficult to calculate the latter for rough surfaces, it is proposed here to use the criterion of a very low wet (solid-liquid) contact area as a simple, approximate substitute for the roll-off angle criterion. It is concluded that nature employs metastable states in the heterogeneous wetting regime as the key to superhydrophobicity on Lotus leaves. This strategy results in two advantages: (a) it avoids the need for high steepness protrusions that may be sensitive to breakage and (b) it lowers the sensitivity of the superhydrophobic states to the protrusion distance.
981 citations
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TL;DR: A novel inpainting algorithm that is capable of filling in holes in overlapping texture and cartoon image layers using a direct extension of a recently developed sparse-representation-based image decomposition method called MCA (morphological component analysis).
974 citations
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TL;DR: In this article, the authors provide an overview of recent experimental and theoretical developments in the area of optical discrete solitons, which represent self-trapped wavepackets in nonlinear periodic structures and result from the interplay between lattice diffraction (or dispersion) and material nonlinearity.
973 citations
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17 Aug 2003TL;DR: This paper proposes several efficient techniques for building private circuits resisting side channel attacks, and provides a formal threat model and proofs of security for their constructions.
Abstract: Can you guarantee secrecy even if an adversary can eavesdrop on your brain? We consider the problem of protecting privacy in circuits, when faced with an adversary that can access a bounded number of wires in the circuit This question is motivated by side channel attacks, which allow an adversary to gain partial access to the inner workings of hardware Recent work has shown that side channel attacks pose a serious threat to cryptosystems implemented in embedded devices In this paper, we develop theoretical foundations for security against side channels In particular, we propose several efficient techniques for building private circuits resisting this type of attacks We initiate a systematic study of the complexity of such private circuits, and in contrast to most prior work in this area provide a formal threat model and give proofs of security for our constructions
968 citations
Authors
Showing all 31937 results
Name | H-index | Papers | Citations |
---|---|---|---|
Robert Langer | 281 | 2324 | 326306 |
Nicholas G. Martin | 192 | 1770 | 161952 |
Tobin J. Marks | 159 | 1621 | 111604 |
Grant W. Montgomery | 157 | 926 | 108118 |
David Eisenberg | 156 | 697 | 112460 |
David J. Mooney | 156 | 695 | 94172 |
Dirk Inzé | 149 | 647 | 74468 |
Jerrold M. Olefsky | 143 | 595 | 77356 |
Joseph J.Y. Sung | 142 | 1240 | 92035 |
Deborah Estrin | 135 | 562 | 106177 |
Bruce Yabsley | 133 | 1191 | 84889 |
Jerry W. Shay | 133 | 639 | 74774 |
Richard N. Bergman | 130 | 477 | 91718 |
Shlomit Tarem | 129 | 1306 | 86919 |
Allen Mincer | 129 | 1040 | 80059 |