@article{7478,
abstract = {Two-terminal conductance spectroscopy of superconducting devices is a common tool for probing Andreev and Majorana bound states. Here, we study theoretically a three-terminal setup, with two normal leads coupled to a grounded superconducting terminal. Using a single-electron scattering matrix, we derive the subgap conductance matrix for the normal leads and discuss its symmetries. In particular, we show that the local and the nonlocal elements of the conductance matrix have pairwise identical antisymmetric components. Moreover, we find that the nonlocal elements are directly related to the local BCS charges of the bound states close to the normal probes and we show how the BCS charge of overlapping Majorana bound states can be extracted from experiments.},
author = {Danon, Jeroen and Hellenes, Anna Birk and Hansen, Esben Bork and Casparis, Lucas and Higginbotham, Andrew P and Flensberg, Karsten},
issn = {0031-9007},
journal = {Physical Review Letters},
number = {3},
publisher = {APS},
title = {{Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges}},
doi = {10.1103/physrevlett.124.036801},
volume = {124},
year = {2020},
}
@article{105,
abstract = {Clinical Utility Gene Card. 1. Name of Disease (Synonyms): Pontocerebellar hypoplasia type 9 (PCH9) and spastic paraplegia-63 (SPG63). 2. OMIM# of the Disease: 615809 and 615686. 3. Name of the Analysed Genes or DNA/Chromosome Segments: AMPD2 at 1p13.3. 4. OMIM# of the Gene(s): 102771.},
author = {Marsh, Ashley and Novarino, Gaia and Lockhart, Paul and Leventer, Richard},
journal = {European Journal of Human Genetics},
pages = {161--166},
publisher = {Nature Publishing Group},
title = {{CUGC for pontocerebellar hypoplasia type 9 and spastic paraplegia-63}},
doi = {10.1038/s41431-018-0231-2},
volume = {27},
year = {2019},
}
@article{319,
abstract = {We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition.},
author = {Gerencser, Mate and Hairer, Martin},
issn = {14322064},
journal = {Probability Theory and Related Fields},
number = {3-4},
pages = {697–758},
publisher = {Springer},
title = {{Singular SPDEs in domains with boundaries}},
doi = {10.1007/s00440-018-0841-1},
volume = {173},
year = {2019},
}
@article{439,
abstract = {We count points over a finite field on wild character varieties,of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the
possibility of a P = W conjecture for a suitable wild Hitchin system.},
author = {Hausel, Tamas and Mereb, Martin and Wong, Michael},
issn = {1435-9855},
journal = {Journal of the European Mathematical Society},
number = {10},
pages = {2995--3052},
publisher = {European Mathematical Society},
title = {{Arithmetic and representation theory of wild character varieties}},
doi = {10.4171/JEMS/896},
volume = {21},
year = {2019},
}
@article{441,
author = {Kalinin, Nikita and Shkolnikov, Mikhail},
issn = {2199-6768},
journal = {European Journal of Mathematics},
number = {3},
pages = {909–928},
publisher = {Springer Nature},
title = {{Tropical formulae for summation over a part of SL(2,Z)}},
doi = {10.1007/s40879-018-0218-0},
volume = {5},
year = {2019},
}
@article{5790,
abstract = {The partial representation extension problem is a recently introduced generalization of the recognition problem. A circle graph is an intersection graph of chords of a circle. We study the partial representation extension problem for circle graphs, where the input consists of a graph G and a partial representation R′ giving some predrawn chords that represent an induced subgraph of G. The question is whether one can extend R′ to a representation R of the entire graph G, that is, whether one can draw the remaining chords into a partially predrawn representation to obtain a representation of G. Our main result is an O(n3) time algorithm for partial representation extension of circle graphs, where n is the number of vertices. To show this, we describe the structure of all representations of a circle graph using split decomposition. This can be of independent interest.},
author = {Chaplick, Steven and Fulek, Radoslav and Klavík, Pavel},
issn = {03649024},
journal = {Journal of Graph Theory},
number = {4},
pages = {365--394},
publisher = {Wiley},
title = {{Extending partial representations of circle graphs}},
doi = {10.1002/jgt.22436},
volume = {91},
year = {2019},
}
@article{5911,
abstract = {Empirical data suggest that inversions in many species contain genes important for intraspecific divergence and speciation, yet mechanisms of evolution remain unclear. While genes inside an inversion are tightly linked, inversions are not static but evolve separately from the rest of the genome by new mutations, recombination within arrangements, and gene flux between arrangements. Inversion polymorphisms are maintained by different processes, for example, divergent or balancing selection, or a mix of multiple processes. Moreover, the relative roles of selection, drift, mutation, and recombination will change over the lifetime of an inversion and within its area of distribution. We believe inversions are central to the evolution of many species, but we need many more data and new models to understand the complex mechanisms involved.},
author = {Faria, Rui and Johannesson, Kerstin and Butlin, Roger K. and Westram, Anja M},
issn = {01695347},
journal = {Trends in Ecology and Evolution},
number = {3},
pages = {239--248},
publisher = {Elsevier},
title = {{Evolving inversions}},
doi = {10.1016/j.tree.2018.12.005},
volume = {34},
year = {2019},
}
@inproceedings{5947,
abstract = {Graph algorithms applied in many applications, including social networks, communication networks, VLSI design, graphics, and several others, require dynamic modifications - addition and removal of vertices and/or edges - in the graph. This paper presents a novel concurrent non-blocking algorithm to implement a dynamic unbounded directed graph in a shared-memory machine. The addition and removal operations of vertices and edges are lock-free. For a finite sized graph, the lookup operations are wait-free. Most significant component of the presented algorithm is the reachability query in a concurrent graph. The reachability queries in our algorithm are obstruction-free and thus impose minimal additional synchronization cost over other operations. We prove that each of the data structure operations are linearizable. We extensively evaluate a sample C/C++ implementation of the algorithm through a number of micro-benchmarks. The experimental results show that the proposed algorithm scales well with the number of threads and on an average provides 5 to 7x performance improvement over a concurrent graph implementation using coarse-grained locking.},
author = {Chatterjee, Bapi and Peri, Sathya and Sa, Muktikanta and Singhal, Nandini},
booktitle = {ACM International Conference Proceeding Series},
isbn = {978-1-4503-6094-4 },
location = {Bangalore, India},
pages = {168--177},
publisher = {ACM},
title = {{A simple and practical concurrent non-blocking unbounded graph with linearizable reachability queries}},
doi = {10.1145/3288599.3288617},
year = {2019},
}
@article{6104,
abstract = {Abiotic stress poses constant challenges for plant survival and is a serious problem for global agricultural productivity. On a molecular level, stress conditions result in elevation of reactive oxygen species (ROS) production causing oxidative stress associated with oxidation of proteins and nucleic acids as well as impairment of membrane functions. Adaptation of root growth to ROS accumulation is facilitated through modification of auxin and cytokinin hormone homeostasis. Here, we report that in Arabidopsis root meristem, ROS-induced changes of auxin levels correspond to decreased abundance of PIN auxin efflux carriers at the plasma membrane (PM). Specifically, increase in H2O2 levels affects PIN2 endocytic recycling. We show that the PIN2 intracellular trafficking during adaptation to oxidative stress requires the function of the ADP-ribosylation factor (ARF)-guanine-nucleotide exchange factor (GEF) BEN1, an actin-associated regulator of the trafficking from the PM to early endosomes and, presumably, indirectly, trafficking to the vacuoles. We propose that H2O2 levels affect the actin dynamics thus modulating ARF-GEF-dependent trafficking of PIN2. This mechanism provides a way how root growth acclimates to stress and adapts to a changing environment.},
author = {Zwiewka, Marta and Bielach, Agnieszka and Tamizhselvan, Prashanth and Madhavan, Sharmila and Ryad, Eman Elrefaay and Tan, Shutang and Hrtyan, Mónika and Dobrev, Petre and Vanková, Radomira and Friml, Jiří and Tognetti, Vanesa B.},
issn = {14719053},
journal = {Plant and Cell Physiology},
number = {2},
pages = {255--273},
publisher = {Oxford University Press},
title = {{Root adaptation to H2O2-induced oxidative stress by ARF-GEF BEN1- and cytoskeleton-mediated PIN2 trafficking}},
doi = {10.1093/pcp/pcz001},
volume = {60},
year = {2019},
}
@article{6022,
abstract = {The evolution of new species is made easier when traits under divergent ecological selection are also mating cues. Such ecological mating cues are now considered more common than previously thought, but we still know little about the genetic changes underlying their evolution or more generally about the genetic basis for assortative mating behaviors. Both tight physical linkage and the existence of large-effect preference loci will strengthen genetic associations between behavioral and ecological barriers, promoting the evolution of assortative mating. The warning patterns of Heliconius melpomene and H. cydno are under disruptive selection due to increased predation of nonmimetic hybrids and are used during mate recognition. We carried out a genome-wide quantitative trait locus (QTL) analysis of preference behaviors between these species and showed that divergent male preference has a simple genetic basis. We identify three QTLs that together explain a large proportion (approximately 60%) of the difference in preference behavior observed between the parental species. One of these QTLs is just 1.2 (0-4.8) centiMorgans (cM) from the major color pattern gene optix, and, individually, all three have a large effect on the preference phenotype. Genomic divergence between H. cydno and H. melpomene is high but broadly heterogenous, and admixture is reduced at the preference-optix color pattern locus but not the other preference QTLs. The simple genetic architecture we reveal will facilitate the evolution and maintenance of new species despite ongoing gene flow by coupling behavioral and ecological aspects of reproductive isolation.},
author = {Merrill, Richard M. and Rastas, Pasi and Martin, Simon H. and Melo Hurtado, Maria C and Barker, Sarah and Davey, John and Mcmillan, W. Owen and Jiggins, Chris D.},
journal = {PLoS Biology},
number = {2},
publisher = {Public Library of Science},
title = {{Genetic dissection of assortative mating behavior}},
doi = {10.1371/journal.pbio.2005902},
volume = {17},
year = {2019},
}
@article{6053,
abstract = {Recent technical developments in the fields of quantum electromechanics and optomechanics have spawned nanoscale mechanical transducers with the sensitivity to measure mechanical displacements at the femtometre scale and the ability to convert electromagnetic signals at the single photon level. A key challenge in this field is obtaining strong coupling between motion and electromagnetic fields without adding additional decoherence. Here we present an electromechanical transducer that integrates a high-frequency (0.42 GHz) hypersonic phononic crystal with a superconducting microwave circuit. The use of a phononic bandgap crystal enables quantum-level transduction of hypersonic mechanical motion and concurrently eliminates decoherence caused by acoustic radiation. Devices with hypersonic mechanical frequencies provide a natural pathway for integration with Josephson junction quantum circuits, a leading quantum computing technology, and nanophotonic systems capable of optical networking and distributing quantum information.},
author = {Kalaee, Mahmoud and Mirhosseini, Mohammad and Dieterle, Paul B. and Peruzzo, Matilda and Fink, Johannes M and Painter, Oskar},
issn = {1748-3395},
journal = {Nature Nanotechnology},
number = {4},
pages = {334–339},
publisher = {Springer Nature},
title = {{Quantum electromechanics of a hypersonic crystal}},
doi = {10.1038/s41565-019-0377-2},
volume = {14},
year = {2019},
}
@article{6091,
abstract = {Cortical networks are characterized by sparse connectivity, with synapses found at only a subset of axo-dendritic contacts. Yet within these networks, neurons can exhibit high connection probabilities, suggesting that cell-intrinsic factors, not proximity, determine connectivity. Here, we identify ephrin-B3 (eB3) as a factor that determines synapse density by mediating a cell-cell competition that requires ephrin-B-EphB signaling. In a microisland culture system designed to isolate cell-cell competition, we find that eB3 determines winning and losing neurons in a contest for synapses. In a Mosaic Analysis with Double Markers (MADM) genetic mouse model system in vivo the relative levels of eB3 control spine density in layer 5 and 6 neurons. MADM cortical neurons in vitro reveal that eB3 controls synapse density independently of action potential-driven activity. Our findings illustrate a new class of competitive mechanism mediated by trans-synaptic organizing proteins which control the number of synapses neurons receive relative to neighboring neurons.},
author = {Henderson, Nathan T. and Le Marchand, Sylvain J. and Hruska, Martin and Hippenmeyer, Simon and Luo, Liqun and Dalva, Matthew B.},
journal = {eLife},
publisher = {eLife Sciences Publications},
title = {{Ephrin-B3 controls excitatory synapse density through cell-cell competition for EphBs}},
doi = {10.7554/eLife.41563},
volume = {8},
year = {2019},
}
@article{6351,
abstract = {A process of restorative patterning in plant roots correctly replaces eliminated cells to heal local injuries despite the absence of cell migration, which underpins wound healing in animals.
Patterning in plants relies on oriented cell divisions and acquisition of specific cell identities. Plants regularly endure wounds caused by abiotic or biotic environmental stimuli and have developed extraordinary abilities to restore their tissues after injuries. Here, we provide insight into a mechanism of restorative patterning that repairs tissues after wounding. Laser-assisted elimination of different cells in Arabidopsis root combined with live-imaging tracking during vertical growth allowed analysis of the regeneration processes in vivo. Specifically, the cells adjacent to the inner side of the injury re-activated their stem cell transcriptional programs. They accelerated their progression through cell cycle, coordinately changed the cell division orientation, and ultimately acquired de novo the correct cell fates to replace missing cells. These observations highlight existence of unknown intercellular positional signaling and demonstrate the capability of specified cells to re-acquire stem cell programs as a crucial part of the plant-specific mechanism of wound healing.},
author = {Marhavá, Petra and Hörmayer, Lukas and Yoshida, Saiko and Marhavy, Peter and Benková, Eva and Friml, Jiří},
issn = {10974172},
journal = {Cell},
number = {4},
pages = {957--969.e13},
publisher = {Elsevier},
title = {{Re-activation of stem cell pathways for pattern restoration in plant wound healing}},
doi = {10.1016/j.cell.2019.04.015},
volume = {177},
year = {2019},
}
@article{6262,
abstract = {Gravitropism is an adaptive response that orients plant growth parallel to the gravity vector. Asymmetric
distribution of the phytohormone auxin is a necessary prerequisite to the tropic bending both in roots and
shoots. During hypocotyl gravitropic response, the PIN3 auxin transporter polarizes within gravity-sensing
cells to redirect intercellular auxin fluxes. First gravity-induced PIN3 polarization to the bottom cell mem-
branes leads to the auxin accumulation at the lower side of the organ, initiating bending and, later, auxin
feedback-mediated repolarization restores symmetric auxin distribution to terminate bending. Here, we per-
formed a forward genetic screen to identify regulators of both PIN3 polarization events during gravitropic
response. We searched for mutants with defective PIN3 polarizations based on easy-to-score morphological
outputs of decreased or increased gravity-induced hypocotyl bending. We identified the number of
hypocotyl reduced bending (hrb) and hypocotyl hyperbending (hhb) mutants, revealing that reduced bending corre-
lated typically with defective gravity-induced PIN3 relocation whereas all analyzed hhb mutants showed
defects in the second, auxin-mediated PIN3 relocation. Next-generation sequencing-aided mutation map-
ping identified several candidate genes, including SCARECROW and ACTIN2, revealing roles of endodermis
specification and actin cytoskeleton in the respective gravity- and auxin-induced PIN polarization events.
The hypocotyl gravitropism screen thus promises to provide novel insights into mechanisms underlying cell
polarity and plant adaptive development.},
author = {Rakusová, Hana and Han, Huibin and Valošek, Petr and Friml, Jiří},
issn = {1365-313x},
journal = {The Plant Journal},
number = {6},
pages = {1048--1059},
publisher = {Wiley},
title = {{Genetic screen for factors mediating PIN polarization in gravistimulated Arabidopsis thaliana hypocotyls}},
doi = {10.1111/tpj.14301},
volume = {98},
year = {2019},
}
@article{6488,
abstract = {We prove a central limit theorem for the difference of linear eigenvalue statistics of a sample covariance matrix W˜ and its minor W. We find that the fluctuation of this difference is much smaller than those of the individual linear statistics, as a consequence of the strong correlation between the eigenvalues of W˜ and W. Our result identifies the fluctuation of the spatial derivative of the approximate Gaussian field in the recent paper by Dumitru and Paquette. Unlike in a similar result for Wigner matrices, for sample covariance matrices, the fluctuation may entirely vanish.},
author = {Cipolloni, Giorgio and Erdös, László},
issn = {20103271},
journal = {Random Matrices: Theory and Application},
publisher = {World Scientific Publishing},
title = {{Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices}},
doi = {10.1142/S2010326320500069},
year = {2019},
}
@inproceedings{6490,
abstract = {Smart contracts are programs that are stored and executed on the Blockchain and can receive, manage and transfer money (cryptocurrency units). Two important problems regarding smart contracts are formal analysis and compiler optimization. Formal analysis is extremely important, because smart contracts hold funds worth billions of dollars and their code is immutable after deployment. Hence, an undetected bug can cause significant financial losses. Compiler optimization is also crucial, because every action of a smart contract has to be executed by every node in the Blockchain network. Therefore, optimizations in compiling smart contracts can lead to significant savings in computation, time and energy.
Two classical approaches in program analysis and compiler optimization are intraprocedural and interprocedural analysis. In intraprocedural analysis, each function is analyzed separately, while interprocedural analysis considers the entire program. In both cases, the analyses are usually reduced to graph problems over the control flow graph (CFG) of the program. These graph problems are often computationally expensive. Hence, there has been ample research on exploiting structural properties of CFGs for efficient algorithms. One such well-studied property is the treewidth, which is a measure of tree-likeness of graphs. It is known that intraprocedural CFGs of structured programs have treewidth at most 6, whereas the interprocedural treewidth cannot be bounded. This result has been used as a basis for many efficient intraprocedural analyses.
In this paper, we explore the idea of exploiting the treewidth of smart contracts for formal analysis and compiler optimization. First, similar to classical programs, we show that the intraprocedural treewidth of structured Solidity and Vyper smart contracts is at most 9. Second, for global analysis, we prove that the interprocedural treewidth of structured smart contracts is bounded by 10 and, in sharp contrast with classical programs, treewidth-based algorithms can be easily applied for interprocedural analysis. Finally, we supplement our theoretical results with experiments using a tool we implemented for computing treewidth of smart contracts and show that the treewidth is much lower in practice. We use 36,764 real-world Ethereum smart contracts as benchmarks and find that they have an average treewidth of at most 3.35 for the intraprocedural case and 3.65 for the interprocedural case.
},
author = {Chatterjee, Krishnendu and Goharshady, Amir Kafshdar and Goharshady, Ehsan Kafshdar},
booktitle = {Proceedings of the 34th ACM Symposium on Applied Computing},
isbn = {9781450359337},
location = {Limassol, Cyprus},
pages = {400--408},
publisher = {ACM},
title = {{The treewidth of smart contracts}},
doi = {10.1145/3297280.3297322},
volume = {Part F147772},
year = {2019},
}
@article{6419,
abstract = {Characterizing the fitness landscape, a representation of fitness for a large set of genotypes, is key to understanding how genetic information is interpreted to create functional organisms. Here we determined the evolutionarily-relevant segment of the fitness landscape of His3, a gene coding for an enzyme in the histidine synthesis pathway, focusing on combinations of amino acid states found at orthologous sites of extant species. Just 15% of amino acids found in yeast His3 orthologues were always neutral while the impact on fitness of the remaining 85% depended on the genetic background. Furthermore, at 67% of sites, amino acid replacements were under sign epistasis, having both strongly positive and negative effect in different genetic backgrounds. 46% of sites were under reciprocal sign epistasis. The fitness impact of amino acid replacements was influenced by only a few genetic backgrounds but involved interaction of multiple sites, shaping a rugged fitness landscape in which many of the shortest paths between highly fit genotypes are inaccessible.},
author = {Pokusaeva, Victoria and Usmanova, Dinara R. and Putintseva, Ekaterina V. and Espinar, Lorena and Sarkisyan, Karen and Mishin, Alexander S. and Bogatyreva, Natalya S. and Ivankov, Dmitry and Akopyan, Arseniy and Avvakumov, Sergey and Povolotskaya, Inna S. and Filion, Guillaume J. and Carey, Lucas B. and Kondrashov, Fyodor},
issn = {15537404},
journal = {PLoS Genetics},
number = {4},
publisher = {Public Library of Science},
title = {{An experimental assay of the interactions of amino acids from orthologous sequences shaping a complex fitness landscape}},
doi = {10.1371/journal.pgen.1008079},
volume = {15},
year = {2019},
}
@article{6596,
abstract = {It is well known that many problems in image recovery, signal processing, and machine learning can be modeled as finding zeros of the sum of maximal monotone and Lipschitz continuous monotone operators. Many papers have studied forward-backward splitting methods for finding zeros of the sum of two monotone operators in Hilbert spaces. Most of the proposed splitting methods in the literature have been proposed for the sum of maximal monotone and inverse-strongly monotone operators in Hilbert spaces. In this paper, we consider splitting methods for finding zeros of the sum of maximal monotone operators and Lipschitz continuous monotone operators in Banach spaces. We obtain weak and strong convergence results for the zeros of the sum of maximal monotone and Lipschitz continuous monotone operators in Banach spaces. Many already studied problems in the literature can be considered as special cases of this paper.},
author = {Shehu, Yekini},
issn = {1420-9012},
journal = {Results in Mathematics},
number = {4},
publisher = {Springer},
title = {{Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces}},
doi = {10.1007/s00025-019-1061-4},
volume = {74},
year = {2019},
}
@article{6609,
abstract = {Mechanical systems facilitate the development of a hybrid quantum technology comprising electrical, optical, atomic and acoustic degrees of freedom1, and entanglement is essential to realize quantum-enabled devices. Continuous-variable entangled fields—known as Einstein–Podolsky–Rosen (EPR) states—are spatially separated two-mode squeezed states that can be used for quantum teleportation and quantum communication2. In the optical domain, EPR states are typically generated using nondegenerate optical amplifiers3, and at microwave frequencies Josephson circuits can serve as a nonlinear medium4,5,6. An outstanding goal is to deterministically generate and distribute entangled states with a mechanical oscillator, which requires a carefully arranged balance between excitation, cooling and dissipation in an ultralow noise environment. Here we observe stationary emission of path-entangled microwave radiation from a parametrically driven 30-micrometre-long silicon nanostring oscillator, squeezing the joint field operators of two thermal modes by 3.40 decibels below the vacuum level. The motion of this micromechanical system correlates up to 50 photons per second per hertz, giving rise to a quantum discord that is robust with respect to microwave noise7. Such generalized quantum correlations of separable states are important for quantum-enhanced detection8 and provide direct evidence of the non-classical nature of the mechanical oscillator without directly measuring its state9. This noninvasive measurement scheme allows to infer information about otherwise inaccessible objects, with potential implications for sensing, open-system dynamics and fundamental tests of quantum gravity. In the future, similar on-chip devices could be used to entangle subsystems on very different energy scales, such as microwave and optical photons.},
author = {Barzanjeh, Shabir and Redchenko, Elena and Peruzzo, Matilda and Wulf, Matthias and Lewis, Dylan and Arnold, Georg M and Fink, Johannes M},
journal = {Nature},
pages = {480--483},
publisher = {Nature Publishing Group},
title = {{Stationary entangled radiation from micromechanical motion}},
doi = {10.1038/s41586-019-1320-2},
volume = {570},
year = {2019},
}
@article{6515,
abstract = {We give non-degeneracy criteria for Riemannian simplices based on simplices in spaces of constant sectional curvature. It extends previous work on Riemannian simplices, where we developed Riemannian simplices with respect to Euclidean reference simplices. The criteria we give in this article are in terms of quality measures for spaces of constant curvature that we develop here. We see that simplices in spaces that have nearly constant curvature, are already non-degenerate under very weak quality demands. This is of importance because it allows for sampling of Riemannian manifolds based on anisotropy of the manifold and not (absolute) curvature.},
author = {Dyer, Ramsay and Vegter, Gert and Wintraecken, Mathijs},
issn = {1920-180X},
journal = {Journal of Computational Geometry },
number = {1},
pages = {223–256},
publisher = {Carleton University},
title = {{Simplices modelled on spaces of constant curvature}},
doi = {10.20382/jocg.v10i1a9},
volume = {10},
year = {2019},
}