@inproceedings{6340, abstract = {We present a secure approach for maintaining andreporting credit history records on the Blockchain. Our ap-proach removes third-parties such as credit reporting agen-cies from the lending process and replaces them with smartcontracts. This allows customers to interact directly with thelenders or banks while ensuring the integrity, unmalleabilityand privacy of their credit data. Additionally, each customerhas full control over complete or selective disclosure of hercredit records, eliminating the risk of privacy violations or databreaches. Moreover, our approach provides strong guaranteesfor the lenders as well. A lender can check both correctness andcompleteness of the credit data disclosed to her. This is the firstapproach that can perform all credit reporting tasks withouta central authority or changing the financial mechanisms*.}, author = {Goharshady, Amir Kafshdar and Behrouz, Ali and Chatterjee, Krishnendu}, booktitle = {Proceedings of the IEEE International Conference on Blockchain}, isbn = {978-1-5386-7975-3 }, location = {Halifax, Canada}, pages = {1343--1348}, publisher = {IEEE}, title = {{Secure Credit Reporting on the Blockchain}}, doi = {10.1109/Cybermatics_2018.2018.00231}, year = {2018}, } @article{6354, abstract = {Blood platelets are critical for hemostasis and thrombosis, but also play diverse roles during immune responses. We have recently reported that platelets migrate at sites of infection in vitro and in vivo. Importantly, platelets use their ability to migrate to collect and bundle fibrin (ogen)-bound bacteria accomplishing efficient intravascular bacterial trapping. Here, we describe a method that allows analyzing platelet migration in vitro, focusing on their ability to collect bacteria and trap bacteria under flow.}, author = {Fan, Shuxia and Lorenz, Michael and Massberg, Steffen and Gärtner, Florian R}, issn = {2331-8325}, journal = {Bio-Protocol}, keywords = {Platelets, Cell migration, Bacteria, Shear flow, Fibrinogen, E. coli}, number = {18}, publisher = {Bio-Protocol}, title = {{Platelet migration and bacterial trapping assay under flow}}, doi = {10.21769/bioprotoc.3018}, volume = {8}, year = {2018}, } @article{6355, abstract = {We prove that any cyclic quadrilateral can be inscribed in any closed convex C1-curve. The smoothness condition is not required if the quadrilateral is a rectangle.}, author = {Akopyan, Arseniy and Avvakumov, Sergey}, issn = {2050-5094}, journal = {Forum of Mathematics, Sigma}, publisher = {Cambridge University Press}, title = {{Any cyclic quadrilateral can be inscribed in any closed convex smooth curve}}, doi = {10.1017/fms.2018.7}, volume = {6}, year = {2018}, } @article{6368, abstract = {An optical network of superconducting quantum bits (qubits) is an appealing platform for quantum communication and distributed quantum computing, but developing a quantum-compatible link between the microwave and optical domains remains an outstanding challenge. Operating at T < 100 mK temperatures, as required for quantum electrical circuits, we demonstrate a mechanically mediated microwave–optical converter with 47% conversion efficiency, and use a classical feed-forward protocol to reduce added noise to 38 photons. The feed-forward protocol harnesses our discovery that noise emitted from the two converter output ports is strongly correlated because both outputs record thermal motion of the same mechanical mode. We also discuss a quantum feed-forward protocol that, given high system efficiencies, would allow quantum information to be transferred even when thermal phonons enter the mechanical element faster than the electro-optic conversion rate.}, author = {Higginbotham, Andrew P and Burns, P. S. and Urmey, M. D. and Peterson, R. W. and Kampel, N. S. and Brubaker, B. M. and Smith, G. and Lehnert, K. W. and Regal, C. A.}, issn = {1745-2473}, journal = {Nature Physics}, number = {10}, pages = {1038--1042}, publisher = {Springer Nature}, title = {{Harnessing electro-optic correlations in an efficient mechanical converter}}, doi = {10.1038/s41567-018-0210-0}, volume = {14}, year = {2018}, } @article{6369, abstract = {We construct a metamaterial from radio-frequency harmonic oscillators, and find two topologically distinct phases resulting from dissipation engineered into the system. These phases are distinguished by a quantized value of bulk energy transport. The impulse response of our circuit is measured and used to reconstruct the band structure and winding number of circuit eigenfunctions around a dark mode. Our results demonstrate that dissipative topological transport can occur in a wider class of physical systems than considered before.}, author = {Rosenthal, Eric I. and Ehrlich, Nicole K. and Rudner, Mark S. and Higginbotham, Andrew P and Lehnert, K. W.}, issn = {2469-9950}, journal = {Physical Review B}, number = {22}, publisher = {American Physical Society (APS)}, title = {{Topological phase transition measured in a dissipative metamaterial}}, doi = {10.1103/physrevb.97.220301}, volume = {97}, year = {2018}, } @article{64, abstract = {Tropical geometry, an established field in pure mathematics, is a place where string theory, mirror symmetry, computational algebra, auction theory, and so forth meet and influence one another. In this paper, we report on our discovery of a tropical model with self-organized criticality (SOC) behavior. Our model is continuous, in contrast to all known models of SOC, and is a certain scaling limit of the sandpile model, the first and archetypical model of SOC. We describe how our model is related to pattern formation and proportional growth phenomena and discuss the dichotomy between continuous and discrete models in several contexts. Our aim in this context is to present an idealized tropical toy model (cf. Turing reaction-diffusion model), requiring further investigation.}, author = {Kalinin, Nikita and Guzmán Sáenz, Aldo and Prieto, Y and Shkolnikov, Mikhail and Kalinina, V and Lupercio, Ernesto}, issn = {00278424}, journal = {PNAS: Proceedings of the National Academy of Sciences of the United States of America}, number = {35}, pages = {E8135 -- E8142}, publisher = {National Academy of Sciences}, title = {{Self-organized criticality and pattern emergence through the lens of tropical geometry}}, doi = {10.1073/pnas.1805847115}, volume = {115}, year = {2018}, } @misc{6459, author = {Petritsch, Barbara}, keywords = {Open Access, Publication Analysis}, location = {Graz, Austria}, publisher = {IST Austria}, title = {{Open Access at IST Austria 2009-2017}}, doi = {10.5281/zenodo.1410279}, year = {2018}, } @article{6497, abstract = {T cells are actively scanning pMHC-presenting cells in lymphoid organs and nonlymphoid tissues (NLTs) with divergent topologies and confinement. How the T cell actomyosin cytoskeleton facilitates this task in distinct environments is incompletely understood. Here, we show that lack of Myosin IXb (Myo9b), a negative regulator of the small GTPase Rho, led to increased Rho-GTP levels and cell surface stiffness in primary T cells. Nonetheless, intravital imaging revealed robust motility of Myo9b−/− CD8+ T cells in lymphoid tissue and similar expansion and differentiation during immune responses. In contrast, accumulation of Myo9b−/− CD8+ T cells in NLTs was strongly impaired. Specifically, Myo9b was required for T cell crossing of basement membranes, such as those which are present between dermis and epidermis. As consequence, Myo9b−/− CD8+ T cells showed impaired control of skin infections. In sum, we show that Myo9b is critical for the CD8+ T cell adaptation from lymphoid to NLT surveillance and the establishment of protective tissue–resident T cell populations.}, author = {Moalli, Federica and Ficht, Xenia and Germann, Philipp and Vladymyrov, Mykhailo and Stolp, Bettina and de Vries, Ingrid and Lyck, Ruth and Balmer, Jasmin and Fiocchi, Amleto and Kreutzfeldt, Mario and Merkler, Doron and Iannacone, Matteo and Ariga, Akitaka and Stoffel, Michael H. and Sharpe, James and Bähler, Martin and Sixt, Michael K and Diz-Muñoz, Alba and Stein, Jens V.}, issn = {1540-9538}, journal = {The Journal of Experimental Medicine}, number = {7}, pages = {1869–1890}, publisher = {Rockefeller University Press}, title = {{The Rho regulator Myosin IXb enables nonlymphoid tissue seeding of protective CD8+T cells}}, doi = {10.1084/jem.20170896}, volume = {2015}, year = {2018}, } @article{6499, abstract = {Expansion microscopy is a recently introduced imaging technique that achieves super‐resolution through physically expanding the specimen by ~4×, after embedding into a swellable gel. The resolution attained is, correspondingly, approximately fourfold better than the diffraction limit, or ~70 nm. This is a major improvement over conventional microscopy, but still lags behind modern STED or STORM setups, whose resolution can reach 20–30 nm. We addressed this issue here by introducing an improved gel recipe that enables an expansion factor of ~10× in each dimension, which corresponds to an expansion of the sample volume by more than 1,000‐fold. Our protocol, which we termed X10 microscopy, achieves a resolution of 25–30 nm on conventional epifluorescence microscopes. X10 provides multi‐color images similar or even superior to those produced with more challenging methods, such as STED, STORM, and iterative expansion microscopy (iExM). X10 is therefore the cheapest and easiest option for high‐quality super‐resolution imaging currently available. X10 should be usable in any laboratory, irrespective of the machinery owned or of the technical knowledge.}, author = {Truckenbrodt, Sven M and Maidorn, Manuel and Crzan, Dagmar and Wildhagen, Hanna and Kabatas, Selda and Rizzoli, Silvio O}, issn = {1469-3178}, journal = {EMBO reports}, number = {9}, publisher = {EMBO}, title = {{X10 expansion microscopy enables 25‐nm resolution on conventional microscopes}}, doi = {10.15252/embr.201845836}, volume = {19}, year = {2018}, } @inbook{6525, abstract = {This chapter finds an agreement of equivariant indices of semi-classical homomorphisms between pairwise mirror branes in the GL2 Higgs moduli space on a Riemann surface. On one side of the agreement, components of the Lagrangian brane of U(1,1) Higgs bundles, whose mirror was proposed by Hitchin to be certain even exterior powers of the hyperholomorphic Dirac bundle on the SL2 Higgs moduli space, are present. The agreement arises from a mysterious functional equation. This gives strong computational evidence for Hitchin’s proposal.}, author = {Hausel, Tamás and Mellit, Anton and Pei, Du}, booktitle = {Geometry and Physics: Volume I}, isbn = {9780198802013}, pages = {189--218}, publisher = {Oxford University Press}, title = {{Mirror symmetry with branes by equivariant verlinde formulas}}, doi = {10.1093/oso/9780198802013.003.0009}, year = {2018}, } @inproceedings{6558, abstract = {This paper studies the problem of distributed stochastic optimization in an adversarial setting where, out of m machines which allegedly compute stochastic gradients every iteration, an α-fraction are Byzantine, and may behave adversarially. Our main result is a variant of stochastic gradient descent (SGD) which finds ε-approximate minimizers of convex functions in T=O~(1/ε²m+α²/ε²) iterations. In contrast, traditional mini-batch SGD needs T=O(1/ε²m) iterations, but cannot tolerate Byzantine failures. Further, we provide a lower bound showing that, up to logarithmic factors, our algorithm is information-theoretically optimal both in terms of sample complexity and time complexity.}, author = {Alistarh, Dan-Adrian and Allen-Zhu, Zeyuan and Li, Jerry}, booktitle = {Advances in Neural Information Processing Systems}, location = {Montreal, Canada}, pages = {4613--4623}, publisher = {Neural Information Processing Systems Foundation}, title = {{Byzantine stochastic gradient descent}}, volume = {2018}, year = {2018}, } @inproceedings{6589, abstract = {Distributed training of massive machine learning models, in particular deep neural networks, via Stochastic Gradient Descent (SGD) is becoming commonplace. Several families of communication-reduction methods, such as quantization, large-batch methods, and gradient sparsification, have been proposed. To date, gradient sparsification methods--where each node sorts gradients by magnitude, and only communicates a subset of the components, accumulating the rest locally--are known to yield some of the largest practical gains. Such methods can reduce the amount of communication per step by up to \emph{three orders of magnitude}, while preserving model accuracy. Yet, this family of methods currently has no theoretical justification. This is the question we address in this paper. We prove that, under analytic assumptions, sparsifying gradients by magnitude with local error correction provides convergence guarantees, for both convex and non-convex smooth objectives, for data-parallel SGD. The main insight is that sparsification methods implicitly maintain bounds on the maximum impact of stale updates, thanks to selection by magnitude. Our analysis and empirical validation also reveal that these methods do require analytical conditions to converge well, justifying existing heuristics.}, author = {Alistarh, Dan-Adrian and Hoefler, Torsten and Johansson, Mikael and Konstantinov, Nikola H and Khirirat, Sarit and Renggli, Cedric}, booktitle = {Advances in Neural Information Processing Systems 31}, location = {Montreal, Canada}, pages = {5973--5983}, publisher = {Neural Information Processing Systems Foundation}, title = {{The convergence of sparsified gradient methods}}, volume = {Volume 2018}, year = {2018}, } @inproceedings{66, abstract = {Crypto-currencies are digital assets designed to work as a medium of exchange, e.g., Bitcoin, but they are susceptible to attacks (dishonest behavior of participants). A framework for the analysis of attacks in crypto-currencies requires (a) modeling of game-theoretic aspects to analyze incentives for deviation from honest behavior; (b) concurrent interactions between participants; and (c) analysis of long-term monetary gains. Traditional game-theoretic approaches for the analysis of security protocols consider either qualitative temporal properties such as safety and termination, or the very special class of one-shot (stateless) games. However, to analyze general attacks on protocols for crypto-currencies, both stateful analysis and quantitative objectives are necessary. In this work our main contributions are as follows: (a) we show how a class of concurrent mean-payo games, namely ergodic games, can model various attacks that arise naturally in crypto-currencies; (b) we present the first practical implementation of algorithms for ergodic games that scales to model realistic problems for crypto-currencies; and (c) we present experimental results showing that our framework can handle games with thousands of states and millions of transitions.}, author = {Chatterjee, Krishnendu and Goharshady, Amir and Ibsen-Jensen, Rasmus and Velner, Yaron}, isbn = {978-3-95977-087-3}, location = {Beijing, China}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Ergodic mean-payoff games for the analysis of attacks in crypto-currencies}}, doi = {10.4230/LIPIcs.CONCUR.2018.11}, volume = {118}, year = {2018}, } @unpublished{14327, abstract = {A common assumption in causal modeling posits that the data is generated by a set of independent mechanisms, and algorithms should aim to recover this structure. Standard unsupervised learning, however, is often concerned with training a single model to capture the overall distribution or aspects thereof. Inspired by clustering approaches, we consider mixtures of implicit generative models that ``disentangle'' the independent generative mechanisms underlying the data. Relying on an additional set of discriminators, we propose a competitive training procedure in which the models only need to capture the portion of the data distribution from which they can produce realistic samples. As a by-product, each model is simpler and faster to train. We empirically show that our approach splits the training distribution in a sensible way and increases the quality of the generated samples.}, author = {Locatello, Francesco and Vincent, Damien and Tolstikhin, Ilya and Rätsch, Gunnar and Gelly, Sylvain and Schölkopf, Bernhard}, booktitle = {arXiv}, title = {{Competitive training of mixtures of independent deep generative models}}, doi = {10.48550/arXiv.1804.11130}, year = {2018}, } @inproceedings{144, abstract = {The task of a monitor is to watch, at run-time, the execution of a reactive system, and signal the occurrence of a safety violation in the observed sequence of events. While finite-state monitors have been studied extensively, in practice, monitoring software also makes use of unbounded memory. We define a model of automata equipped with integer-valued registers which can execute only a bounded number of instructions between consecutive events, and thus can form the theoretical basis for the study of infinite-state monitors. We classify these register monitors according to the number k of available registers, and the type of register instructions. In stark contrast to the theory of computability for register machines, we prove that for every k 1, monitors with k + 1 counters (with instruction set 〈+1, =〉) are strictly more expressive than monitors with k counters. We also show that adder monitors (with instruction set 〈1, +, =〉) are strictly more expressive than counter monitors, but are complete for monitoring all computable safety -languages for k = 6. Real-time monitors are further required to signal the occurrence of a safety violation as soon as it occurs. The expressiveness hierarchy for counter monitors carries over to real-time monitors. We then show that 2 adders cannot simulate 3 counters in real-time. Finally, we show that real-time adder monitors with inequalities are as expressive as real-time Turing machines.}, author = {Ferrere, Thomas and Henzinger, Thomas A and Saraç, Ege}, location = {Oxford, UK}, pages = {394 -- 403}, publisher = {IEEE}, title = {{A theory of register monitors}}, doi = {10.1145/3209108.3209194}, volume = {Part F138033}, year = {2018}, } @article{145, abstract = {Aged proteins can become hazardous to cellular function, by accumulating molecular damage. This implies that cells should preferentially rely on newly produced ones. We tested this hypothesis in cultured hippocampal neurons, focusing on synaptic transmission. We found that newly synthesized vesicle proteins were incorporated in the actively recycling pool of vesicles responsible for all neurotransmitter release during physiological activity. We observed this for the calcium sensor Synaptotagmin 1, for the neurotransmitter transporter VGAT, and for the fusion protein VAMP2 (Synaptobrevin 2). Metabolic labeling of proteins and visualization by secondary ion mass spectrometry enabled us to query the entire protein makeup of the actively recycling vesicles, which we found to be younger than that of non-recycling vesicles. The young vesicle proteins remained in use for up to ~ 24 h, during which they participated in recycling a few hundred times. They were afterward reluctant to release and were degraded after an additional ~ 24–48 h. We suggest that the recycling pool of synaptic vesicles relies on newly synthesized proteins, while the inactive reserve pool contains older proteins.}, author = {Truckenbrodt, Sven M and Viplav, Abhiyan and Jähne, Sebsatian and Vogts, Angela and Denker, Annette and Wildhagen, Hanna and Fornasiero, Eugenio and Rizzoli, Silvio}, issn = {0261-4189}, journal = {The EMBO Journal}, number = {15}, publisher = {Wiley}, title = {{Newly produced synaptic vesicle proteins are preferentially used in synaptic transmission}}, doi = {10.15252/embj.201798044}, volume = {37}, year = {2018}, } @article{146, abstract = {The root cap protects the stem cell niche of angiosperm roots from damage. In Arabidopsis, lateral root cap (LRC) cells covering the meristematic zone are regularly lost through programmed cell death, while the outermost layer of the root cap covering the tip is repeatedly sloughed. Efficient coordination with stem cells producing new layers is needed to maintain a constant size of the cap. We present a signalling pair, the peptide IDA-LIKE1 (IDL1) and its receptor HAESA-LIKE2 (HSL2), mediating such communication. Live imaging over several days characterized this process from initial fractures in LRC cell files to full separation of a layer. Enhanced expression of IDL1 in the separating root cap layers resulted in increased frequency of sloughing, balanced with generation of new layers in a HSL2-dependent manner. Transcriptome analyses linked IDL1-HSL2 signalling to the transcription factors BEARSKIN1/2 and genes associated with programmed cell death. Mutations in either IDL1 or HSL2 slowed down cell division, maturation and separation. Thus, IDL1-HSL2 signalling potentiates dynamic regulation of the homeostatic balance between stem cell division and sloughing activity.}, author = {Shi, Chun Lin and Von Wangenheim, Daniel and Herrmann, Ullrich and Wildhagen, Mari and Kulik, Ivan and Kopf, Andreas and Ishida, Takashi and Olsson, Vilde and Anker, Mari Kristine and Albert, Markus and Butenko, Melinka A and Felix, Georg and Sawa, Shinichiro and Claassen, Manfred and Friml, Jirí and Aalen, Reidunn B}, journal = {Nature Plants}, number = {8}, pages = {596 -- 604}, publisher = {Nature Publishing Group}, title = {{The dynamics of root cap sloughing in Arabidopsis is regulated by peptide signalling}}, doi = {10.1038/s41477-018-0212-z}, volume = {4}, year = {2018}, } @article{147, abstract = {The trafficking of subcellular cargos in eukaryotic cells crucially depends on vesicle budding, a process mediated by ARF-GEFs (ADP-ribosylation factor guanine nucleotide exchange factors). In plants, ARF-GEFs play essential roles in endocytosis, vacuolar trafficking, recycling, secretion, and polar trafficking. Moreover, they are important for plant development, mainly through controlling the polar subcellular localization of PIN-FORMED (PIN) transporters of the plant hormone auxin. Here, using a chemical genetics screen in Arabidopsis thaliana, we identified Endosidin 4 (ES4), an inhibitor of eukaryotic ARF-GEFs. ES4 acts similarly to and synergistically with the established ARF-GEF inhibitor Brefeldin A and has broad effects on intracellular trafficking, including endocytosis, exocytosis, and vacuolar targeting. Additionally, Arabidopsis and yeast (Sacharomyces cerevisiae) mutants defective in ARF-GEF show altered sensitivity to ES4. ES4 interferes with the activation-based membrane association of the ARF1 GTPases, but not of their mutant variants that are activated independently of ARF-GEF activity. Biochemical approaches and docking simulations confirmed that ES4 specifically targets the SEC7 domain-containing ARF-GEFs. These observations collectively identify ES4 as a chemical tool enabling the study of ARF-GEF-mediated processes, including ARF-GEF-mediated plant development.}, author = {Kania, Urszula and Nodzyński, Tomasz and Lu, Qing and Hicks, Glenn R and Nerinckx, Wim and Mishev, Kiril and Peurois, Francois and Cherfils, Jacqueline and De, Rycke Riet Maria and Grones, Peter and Robert, Stéphanie and Russinova, Eugenia and Friml, Jirí}, issn = {1040-4651}, journal = {The Plant Cell}, number = {10}, pages = {2553 -- 2572}, publisher = {Oxford University Press}, title = {{The inhibitor Endosidin 4 targets SEC7 domain-type ARF GTPase exchange factors and interferes with sub cellular trafficking in eukaryotes}}, doi = {10.1105/tpc.18.00127}, volume = {30}, year = {2018}, } @article{148, abstract = {Land plants evolved from charophytic algae, among which Charophyceae possess the most complex body plans. We present the genome of Chara braunii; comparison of the genome to those of land plants identified evolutionary novelties for plant terrestrialization and land plant heritage genes. C. braunii employs unique xylan synthases for cell wall biosynthesis, a phragmoplast (cell separation) mechanism similar to that of land plants, and many phytohormones. C. braunii plastids are controlled via land-plant-like retrograde signaling, and transcriptional regulation is more elaborate than in other algae. The morphological complexity of this organism may result from expanded gene families, with three cases of particular note: genes effecting tolerance to reactive oxygen species (ROS), LysM receptor-like kinases, and transcription factors (TFs). Transcriptomic analysis of sexual reproductive structures reveals intricate control by TFs, activity of the ROS gene network, and the ancestral use of plant-like storage and stress protection proteins in the zygote.}, author = {Nishiyama, Tomoaki and Sakayama, Hidetoshi and De Vries, Jan and Buschmann, Henrik and Saint Marcoux, Denis and Ullrich, Kristian and Haas, Fabian and Vanderstraeten, Lisa and Becker, Dirk and Lang, Daniel and Vosolsobě, Stanislav and Rombauts, Stephane and Wilhelmsson, Per and Janitza, Philipp and Kern, Ramona and Heyl, Alexander and Rümpler, Florian and Calderón Villalobos, Luz and Clay, John and Skokan, Roman and Toyoda, Atsushi and Suzuki, Yutaka and Kagoshima, Hiroshi and Schijlen, Elio and Tajeshwar, Navindra and Catarino, Bruno and Hetherington, Alexander and Saltykova, Assia and Bonnot, Clemence and Breuninger, Holger and Symeonidi, Aikaterini and Radhakrishnan, Guru and Van Nieuwerburgh, Filip and Deforce, Dieter and Chang, Caren and Karol, Kenneth and Hedrich, Rainer and Ulvskov, Peter and Glöckner, Gernot and Delwiche, Charles and Petrášek, Jan and Van De Peer, Yves and Friml, Jirí and Beilby, Mary and Dolan, Liam and Kohara, Yuji and Sugano, Sumio and Fujiyama, Asao and Delaux, Pierre Marc and Quint, Marcel and Theissen, Gunter and Hagemann, Martin and Harholt, Jesper and Dunand, Christophe and Zachgo, Sabine and Langdale, Jane and Maumus, Florian and Van Der Straeten, Dominique and Gould, Sven B and Rensing, Stefan}, journal = {Cell}, number = {2}, pages = {448 -- 464.e24}, publisher = {Cell Press}, title = {{The Chara genome: Secondary complexity and implications for plant terrestrialization}}, doi = {10.1016/j.cell.2018.06.033}, volume = {174}, year = {2018}, } @phdthesis{149, abstract = {The eigenvalue density of many large random matrices is well approximated by a deterministic measure, the self-consistent density of states. In the present work, we show this behaviour for several classes of random matrices. In fact, we establish that, in each of these classes, the self-consistent density of states approximates the eigenvalue density of the random matrix on all scales slightly above the typical eigenvalue spacing. For large classes of random matrices, the self-consistent density of states exhibits several universal features. We prove that, under suitable assumptions, random Gram matrices and Hermitian random matrices with decaying correlations have a 1/3-Hölder continuous self-consistent density of states ρ on R, which is analytic, where it is positive, and has either a square root edge or a cubic root cusp, where it vanishes. We, thus, extend the validity of the corresponding result for Wigner-type matrices from [4, 5, 7]. We show that ρ is determined as the inverse Stieltjes transform of the normalized trace of the unique solution m(z) to the Dyson equation −m(z) −1 = z − a + S[m(z)] on C N×N with the constraint Im m(z) ≥ 0. Here, z lies in the complex upper half-plane, a is a self-adjoint element of C N×N and S is a positivity-preserving operator on C N×N encoding the first two moments of the random matrix. In order to analyze a possible limit of ρ for N → ∞ and address some applications in free probability theory, we also consider the Dyson equation on infinite dimensional von Neumann algebras. We present two applications to random matrices. We first establish that, under certain assumptions, large random matrices with independent entries have a rotationally symmetric self-consistent density of states which is supported on a centered disk in C. Moreover, it is infinitely often differentiable apart from a jump on the boundary of this disk. Second, we show edge universality at all regular (not necessarily extreme) spectral edges for Hermitian random matrices with decaying correlations.}, author = {Alt, Johannes}, issn = {2663-337X}, pages = {456}, publisher = {Institute of Science and Technology Austria}, title = {{Dyson equation and eigenvalue statistics of random matrices}}, doi = {10.15479/AT:ISTA:TH_1040}, year = {2018}, }