TY - CONF AB - We introduce the monitoring of trace properties under assumptions. An assumption limits the space of possible traces that the monitor may encounter. An assumption may result from knowledge about the system that is being monitored, about the environment, or about another, connected monitor. We define monitorability under assumptions and study its theoretical properties. In particular, we show that for every assumption A, the boolean combinations of properties that are safe or co-safe relative to A are monitorable under A. We give several examples and constructions on how an assumption can make a non-monitorable property monitorable, and how an assumption can make a monitorable property monitorable with fewer resources, such as integer registers. AU - Henzinger, Thomas A AU - Sarac, Naci E ID - 8623 SN - 0302-9743 T2 - Runtime Verification TI - Monitorability under assumptions VL - 12399 ER - TY - CONF AB - A simple drawing D(G) of a graph G is one where each pair of edges share at most one point: either a common endpoint or a proper crossing. An edge e in the complement of G can be inserted into D(G) if there exists a simple drawing of G+e extending D(G). As a result of Levi’s Enlargement Lemma, if a drawing is rectilinear (pseudolinear), that is, the edges can be extended into an arrangement of lines (pseudolines), then any edge in the complement of G can be inserted. In contrast, we show that it is NP -complete to decide whether one edge can be inserted into a simple drawing. This remains true even if we assume that the drawing is pseudocircular, that is, the edges can be extended to an arrangement of pseudocircles. On the positive side, we show that, given an arrangement of pseudocircles A and a pseudosegment σ , it can be decided in polynomial time whether there exists a pseudocircle Φσ extending σ for which A∪{Φσ} is again an arrangement of pseudocircles. AU - Arroyo Guevara, Alan M AU - Klute, Fabian AU - Parada, Irene AU - Seidel, Raimund AU - Vogtenhuber, Birgit AU - Wiedera, Tilo ID - 8732 SN - 0302-9743 T2 - Graph-Theoretic Concepts in Computer Science TI - Inserting one edge into a simple drawing is hard VL - 12301 ER - TY - CHAP AB - We introduce the notion of Witness Maps as a cryptographic notion of a proof system. A Unique Witness Map (UWM) deterministically maps all witnesses for an NP statement to a single representative witness, resulting in a computationally sound, deterministic-prover, non-interactive witness independent proof system. A relaxation of UWM, called Compact Witness Map (CWM), maps all the witnesses to a small number of witnesses, resulting in a “lossy” deterministic-prover, non-interactive proof-system. We also define a Dual Mode Witness Map (DMWM) which adds an “extractable” mode to a CWM. Our main construction is a DMWM for all NP relations, assuming sub-exponentially secure indistinguishability obfuscation ( iO ), along with standard cryptographic assumptions. The DMWM construction relies on a CWM and a new primitive called Cumulative All-Lossy-But-One Trapdoor Functions (C-ALBO-TDF), both of which are in turn instantiated based on iO and other primitives. Our instantiation of a CWM is in fact a UWM; in turn, we show that a UWM implies Witness Encryption. Along the way to constructing UWM and C-ALBO-TDF, we also construct, from standard assumptions, Puncturable Digital Signatures and a new primitive called Cumulative Lossy Trapdoor Functions (C-LTDF). The former improves up on a construction of Bellare et al. (Eurocrypt 2016), who relied on sub-exponentially secure iO and sub-exponentially secure OWF. As an application of our constructions, we show how to use a DMWM to construct the first leakage and tamper-resilient signatures with a deterministic signer, thereby solving a decade old open problem posed by Katz and Vaikunthanathan (Asiacrypt 2009), by Boyle, Segev and Wichs (Eurocrypt 2011), as well as by Faonio and Venturi (Asiacrypt 2016). Our construction achieves the optimal leakage rate of 1−o(1) . AU - Chakraborty, Suvradip AU - Prabhakaran, Manoj AU - Wichs, Daniel ED - Kiayias, A ID - 10865 SN - 0302-9743 T2 - Public-Key Cryptography TI - Witness maps and applications VL - 12110 ER - TY - JOUR AB - We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem. AU - Rademacher, Simone Anna Elvira ID - 7611 JF - Letters in Mathematical Physics SN - 0377-9017 TI - Central limit theorem for Bose gases interacting through singular potentials VL - 110 ER - TY - JOUR AB - The biotic interactions hypothesis posits that biotic interactions are more important drivers of adaptation closer to the equator, evidenced by “stronger” contemporary interactions (e.g. greater interaction rates) and/or patterns of trait evolution consistent with a history of stronger interactions. Support for the hypothesis is mixed, but few studies span tropical and temperate regions while experimentally controlling for evolutionary history. Here, we integrate field observations and common garden experiments to quantify the relative importance of pollination and herbivory in a pair of tropical‐temperate congeneric perennial herbs. Phytolacca rivinoides and P. americana are pioneer species native to the Neotropics and the eastern USA, respectively. We compared plant‐pollinator and plant‐herbivore interactions between three tropical populations of P. rivinoides from Costa Rica and three temperate populations of P. americana from its northern range edge in Michigan and Ohio. For some metrics of interaction importance, we also included three subtropical populations of P. americana from its southern range edge in Florida. This approach confounds species and region but allows us, uniquely, to measure complementary proxies of interaction importance across a tropical‐temperate range in one system. To test the prediction that lower‐latitude plants are more reliant on insect pollinators, we quantified floral display and reward, insect visitation rates, and self‐pollination ability (autogamy). To test the prediction that lower‐latitude plants experience more herbivore pressure, we quantified herbivory rates, herbivore abundance, and leaf palatability. We found evidence supporting the biotic interactions hypothesis for most comparisons between P. rivinoides and north‐temperate P. americana (floral display, insect visitation, autogamy, herbivory, herbivore abundance, and young‐leaf palatability). Results for subtropical P. americana populations, however, were typically not intermediate between P. rivinoides and north‐temperate P. americana, as would be predicted by a linear latitudinal gradient in interaction importance. Subtropical young‐leaf palatability was intermediate, but subtropical mature leaves were the least palatable, and pollination‐related traits did not differ between temperate and subtropical regions. These nonlinear patterns of interaction importance suggest future work to relate interaction importance to climatic or biotic thresholds. In sum, we found that the biotic interactions hypothesis was more consistently supported at the larger spatial scale of our study. AU - Baskett, Carina AU - Schroeder, Lucy AU - Weber, Marjorie G. AU - Schemske, Douglas W. ID - 7236 IS - 1 JF - Ecological Monographs SN - 0012-9615 TI - Multiple metrics of latitudinal patterns in insect pollination and herbivory for a tropical‐temperate congener pair VL - 90 ER - TY - JOUR AB - * Morphogenesis and adaptive tropic growth in plants depend on gradients of the phytohormone auxin, mediated by the membrane‐based PIN‐FORMED (PIN) auxin transporters. PINs localize to a particular side of the plasma membrane (PM) or to the endoplasmic reticulum (ER) to directionally transport auxin and maintain intercellular and intracellular auxin homeostasis, respectively. However, the molecular cues that confer their diverse cellular localizations remain largely unknown. * In this study, we systematically swapped the domains between ER‐ and PM‐localized PIN proteins, as well as between apical and basal PM‐localized PINs from Arabidopsis thaliana , to shed light on why PIN family members with similar topological structures reside at different membrane compartments within cells. * Our results show that not only do the N‐ and C‐terminal transmembrane domains (TMDs) and central hydrophilic loop contribute to their differential subcellular localizations and cellular polarity, but that the pairwise‐matched N‐ and C‐terminal TMDs resulting from intramolecular domain–domain coevolution are also crucial for their divergent patterns of localization. * These findings illustrate the complexity of the evolutionary path of PIN proteins in acquiring their plethora of developmental functions and adaptive growth in plants. AU - Zhang, Yuzhou AU - Hartinger, Corinna AU - Wang, Xiaojuan AU - Friml, Jiří ID - 7697 IS - 5 JF - New Phytologist SN - 0028-646X TI - Directional auxin fluxes in plants by intramolecular domain‐domain co‐evolution of PIN auxin transporters VL - 227 ER - TY - JOUR AB - This paper introduces a simple method for simulating highly anisotropic elastoplastic material behaviors like the dissolution of fibrous phenomena (splintering wood, shredding bales of hay) and materials composed of large numbers of irregularly‐shaped bodies (piles of twigs, pencils, or cards). We introduce a simple transformation of the anisotropic problem into an equivalent isotropic one, and we solve this new “fictitious” isotropic problem using an existing simulator based on the material point method. Our approach results in minimal changes to existing simulators, and it allows us to re‐use popular isotropic plasticity models like the Drucker‐Prager yield criterion instead of inventing new anisotropic plasticity models for every phenomenon we wish to simulate. AU - Schreck, Camille AU - Wojtan, Christopher J ID - 8765 IS - 2 JF - Computer Graphics Forum KW - Computer Networks and Communications SN - 0167-7055 TI - A practical method for animating anisotropic elastoplastic materials VL - 39 ER - TY - JOUR AB - Water-in-salt electrolytes based on highly concentrated bis(trifluoromethyl)sulfonimide (TFSI) promise aqueous electrolytes with stabilities approaching 3 V. However, especially with an electrode approaching the cathodic (reductive) stability, cycling stability is insufficient. While stability critically relies on a solid electrolyte interphase (SEI), the mechanism behind the cathodic stability limit remains unclear. Here, we reveal two distinct reduction potentials for the chemical environments of ‘free’ and ‘bound’ water and that both contribute to SEI formation. Free-water is reduced ~1V above bound water in a hydrogen evolution reaction (HER) and responsible for SEI formation via reactive intermediates of the HER; concurrent LiTFSI precipitation/dissolution establishes a dynamic interface. The free-water population emerges, therefore, as the handle to extend the cathodic limit of aqueous electrolytes and the battery cycling stability. AU - Bouchal, Roza AU - Li, Zhujie AU - Bongu, Chandra AU - Le Vot, Steven AU - Berthelot, Romain AU - Rotenberg, Benjamin AU - Favier, Frederic AU - Freunberger, Stefan Alexander AU - Salanne, Mathieu AU - Fontaine, Olivier ID - 8057 IS - 37 JF - Angewandte Chemie SN - 0044-8249 TI - Competitive salt precipitation/dissolution during free‐water reduction in water‐in‐salt electrolyte VL - 132 ER - TY - JOUR AB - Coinfections with multiple pathogens can result in complex within‐host dynamics affecting virulence and transmission. While multiple infections are intensively studied in solitary hosts, it is so far unresolved how social host interactions interfere with pathogen competition, and if this depends on coinfection diversity. We studied how the collective disease defences of ants – their social immunity – influence pathogen competition in coinfections of same or different fungal pathogen species. Social immunity reduced virulence for all pathogen combinations, but interfered with spore production only in different‐species coinfections. Here, it decreased overall pathogen sporulation success while increasing co‐sporulation on individual cadavers and maintaining a higher pathogen diversity at the community level. Mathematical modelling revealed that host sanitary care alone can modulate competitive outcomes between pathogens, giving advantage to fast‐germinating, thus less grooming‐sensitive ones. Host social interactions can hence modulate infection dynamics in coinfected group members, thereby altering pathogen communities at the host level and population level. AU - Milutinovic, Barbara AU - Stock, Miriam AU - Grasse, Anna V AU - Naderlinger, Elisabeth AU - Hilbe, Christian AU - Cremer, Sylvia ID - 7343 IS - 3 JF - Ecology Letters SN - 1461-023X TI - Social immunity modulates competition between coinfecting pathogens VL - 23 ER - TY - JOUR AB - Sewall Wright developed FST for describing population differentiation and it has since been extended to many novel applications, including the detection of homomorphic sex chromosomes. However, there has been confusion regarding the expected estimate of FST for a fixed difference between the X‐ and Y‐chromosome when comparing males and females. Here, we attempt to resolve this confusion by contrasting two common FST estimators and explain why they yield different estimates when applied to the case of sex chromosomes. We show that this difference is true for many allele frequencies, but the situation characterized by fixed differences between the X‐ and Y‐chromosome is among the most extreme. To avoid additional confusion, we recommend that all authors using FST clearly state which estimator of FST their work uses. AU - Gammerdinger, William J AU - Toups, Melissa A AU - Vicoso, Beatriz ID - 8099 IS - 6 JF - Molecular Ecology Resources SN - 1755-098X TI - Disagreement in FST estimators: A case study from sex chromosomes VL - 20 ER - TY - JOUR AB - Water-in-salt electrolytes based on highly concentrated bis(trifluoromethyl)sulfonimide (TFSI) promise aqueous electrolytes with stabilities nearing 3 V. However, especially with an electrode approaching the cathodic (reductive) stability, cycling stability is insufficient. While stability critically relies on a solid electrolyte interphase (SEI), the mechanism behind the cathodic stability limit remains unclear. Here, we reveal two distinct reduction potentials for the chemical environments of 'free' and 'bound' water and that both contribute to SEI formation. Free-water is reduced ~1V above bound water in a hydrogen evolution reaction (HER) and responsible for SEI formation via reactive intermediates of the HER; concurrent LiTFSI precipitation/dissolution establishes a dynamic interface. The free-water population emerges, therefore, as the handle to extend the cathodic limit of aqueous electrolytes and the battery cycling stability. AU - Bouchal, Roza AU - Li, Zhujie AU - Bongu, Chandra AU - Le Vot, Steven AU - Berthelot, Romain AU - Rotenberg, Benjamin AU - Favier, Fréderic AU - Freunberger, Stefan Alexander AU - Salanne, Mathieu AU - Fontaine, Olivier ID - 7847 IS - 37 JF - Angewandte Chemie International Edition SN - 1433-7851 TI - Competitive salt precipitation/dissolution during free‐water reduction in water‐in‐salt electrolyte VL - 59 ER - TY - JOUR AB - Habitat loss is one of the key drivers of the ongoing decline of biodiversity. However, ecologists still argue about how fragmentation of habitat (independent of habitat loss) affects species richness. The recently proposed habitat amount hypothesis posits that species richness only depends on the total amount of habitat in a local landscape. In contrast, empirical studies report contrasting patterns: some find positive and others negative effects of fragmentation per se on species richness. To explain this apparent disparity, we devise a stochastic, spatially explicit model of competitive species communities in heterogeneous habitats. The model shows that habitat loss and fragmentation have complex effects on species diversity in competitive communities. When the total amount of habitat is large, fragmentation per se tends to increase species diversity, but if the total amount of habitat is small, the situation is reversed: fragmentation per se decreases species diversity. AU - Rybicki, Joel AU - Abrego, Nerea AU - Ovaskainen, Otso ID - 7224 IS - 3 JF - Ecology Letters SN - 1461-023X TI - Habitat fragmentation and species diversity in competitive communities VL - 23 ER - TY - JOUR AB - We show the synthesis of a redox‐active quinone, 2‐methoxy‐1,4‐hydroquinone (MHQ), from a bio‐based feedstock and its suitability as electrolyte in aqueous redox flow batteries. We identified semiquinone intermediates at insufficiently low pH and quinoid radicals as responsible for decomposition of MHQ under electrochemical conditions. Both can be avoided and/or stabilized, respectively, using H 3 PO 4 electrolyte, allowing for reversible cycling in a redox flow battery for hundreds of cycles. AU - Schlemmer, Werner AU - Nothdurft, Philipp AU - Petzold, Alina AU - Frühwirt, Philipp AU - Schmallegger, Max AU - Gescheidt-Demner, Georg AU - Fischer, Roland AU - Freunberger, Stefan Alexander AU - Kern, Wolfgang AU - Spirk, Stefan ID - 8329 IS - 51 JF - Angewandte Chemie International Edition SN - 1433-7851 TI - 2‐methoxyhydroquinone from vanillin for aqueous redox‐flow batteries VL - 59 ER - TY - GEN AB - Coinfections with multiple pathogens can result in complex within-host dynamics affecting virulence and transmission. Whilst multiple infections are intensively studied in solitary hosts, it is so far unresolved how social host interactions interfere with pathogen competition, and if this depends on coinfection diversity. We studied how the collective disease defenses of ants – their social immunity ­– influence pathogen competition in coinfections of same or different fungal pathogen species. Social immunity reduced virulence for all pathogen combinations, but interfered with spore production only in different-species coinfections. Here, it decreased overall pathogen sporulation success, whilst simultaneously increasing co-sporulation on individual cadavers and maintaining a higher pathogen diversity at the community-level. Mathematical modeling revealed that host sanitary care alone can modulate competitive outcomes between pathogens, giving advantage to fast-germinating, thus less grooming-sensitive ones. Host social interactions can hence modulate infection dynamics in coinfected group members, thereby altering pathogen communities at the host- and population-level. AU - Milutinovic, Barbara AU - Stock, Miriam AU - Grasse, Anna V AU - Naderlinger, Elisabeth AU - Hilbe, Christian AU - Cremer, Sylvia ID - 13060 TI - Social immunity modulates competition between coinfecting pathogens ER - TY - GEN AB - PADREV : 4,4'-dimethoxy[1,1'-biphenyl]-2,2',5,5'-tetrol Space Group: C 2 (5), Cell: a 24.488(16)Å b 5.981(4)Å c 3.911(3)Å, α 90° β 91.47(3)° γ 90° AU - Schlemmer, Werner AU - Nothdurft, Philipp AU - Petzold, Alina AU - Riess, Gisbert AU - Frühwirt, Philipp AU - Schmallegger, Max AU - Gescheidt-Demner, Georg AU - Fischer, Roland AU - Freunberger, Stefan Alexander AU - Kern, Wolfgang AU - Spirk, Stefan ID - 9780 TI - CCDC 1991959: Experimental Crystal Structure Determination ER - TY - JOUR AB - The hippocampus plays key roles in learning and memory and is a main target of Alzheimer's disease (AD), which causes progressive memory impairments. Despite numerous investigations about the processes required for the normal hippocampal functions, the neurotransmitter receptors involved in the synaptic deficits by which AD disables the hippocampus are not yet characterized. By combining histoblots, western blots, immunohistochemistry and high‐resolution immunoelectron microscopic methods for GABAB receptors, this study provides a quantitative description of the expression and the subcellular localization of GABAB1 in the hippocampus in a mouse model of AD at 1, 6 and 12 months of age. Western blots and histoblots showed that the total amount of protein and the laminar expression pattern of GABAB1 were similar in APP/PS1 mice and in age‐matched wild‐type mice. In contrast, immunoelectron microscopic techniques showed that the subcellular localization of GABAB1 subunit did not change significantly in APP/PS1 mice at 1 month of age, was significantly reduced in the stratum lacunosum‐moleculare of CA1 pyramidal cells at 6 months of age and significantly reduced at the membrane surface of CA1 pyramidal cells at 12 months of age. This reduction of plasma membrane GABAB1 was paralleled by a significant increase of the subunit at the intracellular sites. We further observed a decrease of membrane‐targeted GABAB receptors in axon terminals contacting CA1 pyramidal cells. Our data demonstrate compartment‐ and age‐dependent reduction of plasma membrane‐targeted GABAB receptors in the CA1 region of the hippocampus, suggesting that this decrease might be enough to alter the GABAB‐mediated synaptic transmission taking place in AD. AU - Martín-Belmonte, Alejandro AU - Aguado, Carolina AU - Alfaro-Ruíz, Rocío AU - Moreno-Martínez, Ana Esther AU - De La Ossa, Luis AU - Martínez-Hernández, José AU - Buisson, Alain AU - Früh, Simon AU - Bettler, Bernhard AU - Shigemoto, Ryuichi AU - Fukazawa, Yugo AU - Luján, Rafael ID - 7207 IS - 3 JF - Brain Pathology SN - 10156305 TI - Reduction in the neuronal surface of post and presynaptic GABA>B< receptors in the hippocampus in a mouse model of Alzheimer's disease VL - 30 ER - TY - JOUR AB - Genetic incompatibilities contribute to reproductive isolation between many diverging populations, but it is still unclear to what extent they play a role if divergence happens with gene flow. In contact zones between the "Crab" and "Wave" ecotypes of the snail Littorina saxatilis, divergent selection forms strong barriers to gene flow, while the role of post‐zygotic barriers due to selection against hybrids remains unclear. High embryo abortion rates in this species could indicate the presence of such barriers. Post‐zygotic barriers might include genetic incompatibilities (e.g. Dobzhansky–Muller incompatibilities) but also maladaptation, both expected to be most pronounced in contact zones. In addition, embryo abortion might reflect physiological stress on females and embryos independent of any genetic stress. We examined all embryos of >500 females sampled outside and inside contact zones of three populations in Sweden. Females' clutch size ranged from 0 to 1,011 embryos (mean 130 ± 123), and abortion rates varied between 0% and 100% (mean 12%). We described female genotypes by using a hybrid index based on hundreds of SNPs differentiated between ecotypes with which we characterized female genotypes. We also calculated female SNP heterozygosity and inversion karyotype. Clutch size did not vary with female hybrid index, and abortion rates were only weakly related to hybrid index in two sites but not at all in a third site. No additional variation in abortion rate was explained by female SNP heterozygosity, but increased female inversion heterozygosity added slightly to increased abortion. Our results show only weak and probably biologically insignificant post‐zygotic barriers contributing to ecotype divergence, and the high and variable abortion rates were marginally, if at all, explained by hybrid index of females. AU - Johannesson, Kerstin AU - Zagrodzka, Zuzanna AU - Faria, Rui AU - Westram, Anja M AU - Butlin, Roger K. ID - 7205 IS - 3 JF - Journal of Evolutionary Biology SN - 1010061X TI - Is embryo abortion a post-zygotic barrier to gene flow between Littorina ecotypes? VL - 33 ER - TY - CHAP AB - Gastrulation entails specification and formation of three embryonic germ layers—ectoderm, mesoderm and endoderm—thereby establishing the basis for the future body plan. In zebrafish embryos, germ layer specification occurs during blastula and early gastrula stages (Ho & Kimmel, 1993), a period when the main morphogenetic movements underlying gastrulation are initiated. Hence, the signals driving progenitor cell fate specification, such as Nodal ligands from the TGF-β family, also play key roles in regulating germ layer progenitor cell segregation (Carmany-Rampey & Schier, 2001; David & Rosa, 2001; Feldman et al., 2000; Gritsman et al., 1999; Keller et al., 2008). In this review, we summarize and discuss the main signaling pathways involved in germ layer progenitor cell fate specification and segregation, specifically focusing on recent advances in understanding the interplay between mesoderm and endoderm specification and the internalization movements at the onset of zebrafish gastrulation. AU - Nunes Pinheiro, Diana C AU - Heisenberg, Carl-Philipp J ID - 7227 SN - 00702153 T2 - Gastrulation: From Embryonic Pattern to Form TI - Zebrafish gastrulation: Putting fate in motion VL - 136 ER - TY - JOUR AB - Previously, we reported that the allelic de-etiolated by zinc (dez) and trichome birefringence (tbr) mutants exhibit photomorphogenic development in the dark, which is enhanced by high Zn. TRICHOME BIREFRINGENCE-LIKE proteins had been implicated in transferring acetyl groups to various hemicelluloses. Pectin O-acetylation levels were lower in dark-grown dez seedlings than in the wild type. We observed Zn-enhanced photomorphogenesis in the dark also in the reduced wall acetylation 2 (rwa2-3) mutant, which exhibits lowered O-acetylation levels of cell wall macromolecules including pectins and xyloglucans, supporting a role for cell wall macromolecule O-acetylation in the photomorphogenic phenotypes of rwa2-3 and dez. Application of very short oligogalacturonides (vsOGs) restored skotomorphogenesis in dark-grown dez and rwa2-3. Here we demonstrate that in dez, O-acetylation of non-pectin cell wall components, notably of xyloglucan, is enhanced. Our results highlight the complexity of cell wall homeostasis and indicate against an influence of xyloglucan O-acetylation on light-dependent seedling development. AU - Sinclair, Scott A AU - Gille, S. AU - Pauly, M. AU - Krämer, U. ID - 7417 IS - 1 JF - Plant Signaling & Behavior SN - 1559-2324 TI - Regulation of acetylation of plant cell wall components is complex and responds to external stimuli VL - 15 ER - TY - JOUR AB - For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp singularity of the limiting eigenvalue distribution the local eigenvalue statistics are universal and form a Pearcey process. Since the density of states typically exhibits only square root or cubic root cusp singularities, our work complements previous results on the bulk and edge universality and it thus completes the resolution of the Wigner–Dyson–Mehta universality conjecture for the last remaining universality type in the complex Hermitian class. Our analysis holds not only for exact cusps, but approximate cusps as well, where an extended Pearcey process emerges. As a main technical ingredient we prove an optimal local law at the cusp for both symmetry classes. This result is also the key input in the companion paper (Cipolloni et al. in Pure Appl Anal, 2018. arXiv:1811.04055) where the cusp universality for real symmetric Wigner-type matrices is proven. The novel cusp fluctuation mechanism is also essential for the recent results on the spectral radius of non-Hermitian random matrices (Alt et al. in Spectral radius of random matrices with independent entries, 2019. arXiv:1907.13631), and the non-Hermitian edge universality (Cipolloni et al. in Edge universality for non-Hermitian random matrices, 2019. arXiv:1908.00969). AU - Erdös, László AU - Krüger, Torben H AU - Schröder, Dominik J ID - 6185 JF - Communications in Mathematical Physics SN - 0010-3616 TI - Cusp universality for random matrices I: Local law and the complex Hermitian case VL - 378 ER -