@article{610,
  abstract     = {The fact that the complete graph K5 does not embed in the plane has been generalized in two independent directions. On the one hand, the solution of the classical Heawood problem for graphs on surfaces established that the complete graph Kn embeds in a closed surface M (other than the Klein bottle) if and only if (n−3)(n−4) ≤ 6b1(M), where b1(M) is the first Z2-Betti number of M. On the other hand, van Kampen and Flores proved that the k-skeleton of the n-dimensional simplex (the higher-dimensional analogue of Kn+1) embeds in R2k if and only if n ≤ 2k + 1. Two decades ago, Kühnel conjectured that the k-skeleton of the n-simplex embeds in a compact, (k − 1)-connected 2k-manifold with kth Z2-Betti number bk only if the following generalized Heawood inequality holds: (k+1 n−k−1) ≤ (k+1 2k+1)bk. This is a common generalization of the case of graphs on surfaces as well as the van Kampen–Flores theorem. In the spirit of Kühnel’s conjecture, we prove that if the k-skeleton of the n-simplex embeds in a compact 2k-manifold with kth Z2-Betti number bk, then n ≤ 2bk(k 2k+2)+2k+4. This bound is weaker than the generalized Heawood inequality, but does not require the assumption that M is (k−1)-connected. Our results generalize to maps without q-covered points, in the spirit of Tverberg’s theorem, for q a prime power. Our proof uses a result of Volovikov about maps that satisfy a certain homological triviality condition.},
  author       = {Goaoc, Xavier and Mabillard, Isaac and Paták, Pavel and Patakova, Zuzana and Tancer, Martin and Wagner, Uli},
  journal      = {Israel Journal of Mathematics},
  number       = {2},
  pages        = {841 -- 866},
  publisher    = {Springer},
  title        = {{On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result}},
  doi          = {10.1007/s11856-017-1607-7},
  volume       = {222},
  year         = {2017},
}

@article{611,
  abstract     = {Small RNAs (sRNAs) regulate genes in plants and animals. Here, we show that population-wide differences in color patterns in snapdragon flowers are caused by an inverted duplication that generates sRNAs. The complexity and size of the transcripts indicate that the duplication represents an intermediate on the pathway to microRNA evolution. The sRNAs repress a pigment biosynthesis gene, creating a yellow highlight at the site of pollinator entry. The inverted duplication exhibits steep clines in allele frequency in a natural hybrid zone, showing that the allele is under selection. Thus, regulatory interactions of evolutionarily recent sRNAs can be acted upon by selection and contribute to the evolution of phenotypic diversity.},
  author       = {Bradley, Desmond and Xu, Ping and Mohorianu, Irina and Whibley, Annabel and Field, David and Tavares, Hugo and Couchman, Matthew and Copsey, Lucy and Carpenter, Rosemary and Li, Miaomiao and Li, Qun and Xue, Yongbiao and Dalmay, Tamas and Coen, Enrico},
  issn         = {00368075},
  journal      = {Science},
  number       = {6365},
  pages        = {925 -- 928},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Evolution of flower color pattern through selection on regulatory small RNAs}},
  doi          = {10.1126/science.aao3526},
  volume       = {358},
  year         = {2017},
}

@article{613,
  abstract     = {Bacteria in groups vary individually, and interact with other bacteria and the environment to produce population-level patterns of gene expression. Investigating such behavior in detail requires measuring and controlling populations at the single-cell level alongside precisely specified interactions and environmental characteristics. Here we present an automated, programmable platform that combines image-based gene expression and growth measurements with on-line optogenetic expression control for hundreds of individual Escherichia coli cells over days, in a dynamically adjustable environment. This integrated platform broadly enables experiments that bridge individual and population behaviors. We demonstrate: (i) population structuring by independent closed-loop control of gene expression in many individual cells, (ii) cell-cell variation control during antibiotic perturbation, (iii) hybrid bio-digital circuits in single cells, and freely specifiable digital communication between individual bacteria. These examples showcase the potential for real-time integration of theoretical models with measurement and control of many individual cells to investigate and engineer microbial population behavior.},
  author       = {Chait, Remy P and Ruess, Jakob and Bergmiller, Tobias and Tkacik, Gasper and Guet, Calin C},
  issn         = {20411723},
  journal      = {Nature Communications},
  number       = {1},
  publisher    = {Nature Publishing Group},
  title        = {{Shaping bacterial population behavior through computer interfaced control of individual cells}},
  doi          = {10.1038/s41467-017-01683-1},
  volume       = {8},
  year         = {2017},
}

@article{614,
  abstract     = {Moths and butterflies (Lepidoptera) usually have a pair of differentiated WZ sex chromosomes. However, in most lineages outside of the division Ditrysia, as well as in the sister order Trichoptera, females lack a W chromosome. The W is therefore thought to have been acquired secondarily. Here we compare the genomes of three Lepidoptera species (one Dytrisia and two non-Dytrisia) to test three models accounting for the origin of the W: (1) a Z-autosome fusion; (2) a sex chromosome turnover; and (3) a non-canonical mechanism (e.g., through the recruitment of a B chromosome). We show that the gene content of the Z is highly conserved across Lepidoptera (rejecting a sex chromosome turnover) and that very few genes moved onto the Z in the common ancestor of the Ditrysia (arguing against a Z-autosome fusion). Our comparative genomics analysis therefore supports the secondary acquisition of the Lepidoptera W by a non-canonical mechanism, and it confirms the extreme stability of well-differentiated sex chromosomes.},
  author       = {Fraisse, Christelle and Picard, Marion A and Vicoso, Beatriz},
  issn         = {20411723},
  journal      = {Nature Communications},
  number       = {1},
  publisher    = {Nature Publishing Group},
  title        = {{The deep conservation of the Lepidoptera Z chromosome suggests a non canonical origin of the W}},
  doi          = {10.1038/s41467-017-01663-5},
  volume       = {8},
  year         = {2017},
}

@article{615,
  abstract     = {We show that the Dyson Brownian Motion exhibits local universality after a very short time assuming that local rigidity and level repulsion of the eigenvalues hold. These conditions are verified, hence bulk spectral universality is proven, for a large class of Wigner-like matrices, including deformed Wigner ensembles and ensembles with non-stochastic variance matrices whose limiting densities differ from Wigner's semicircle law.},
  author       = {Erdös, László and Schnelli, Kevin},
  issn         = {02460203},
  journal      = {Annales de l'institut Henri Poincare (B) Probability and Statistics},
  number       = {4},
  pages        = {1606 -- 1656},
  publisher    = {Institute of Mathematical Statistics},
  title        = {{Universality for random matrix flows with time dependent density}},
  doi          = {10.1214/16-AIHP765},
  volume       = {53},
  year         = {2017},
}

@article{6196,
  abstract     = {PMAC is a simple and parallel block-cipher mode of operation, which was introduced by Black and Rogaway at Eurocrypt 2002. If instantiated with a (pseudo)random permutation over n-bit strings, PMAC constitutes a provably secure variable input-length (pseudo)random function. For adversaries making q queries, each of length at most l (in n-bit blocks), and of total length σ ≤ ql, the original paper proves an upper bound on the distinguishing advantage of  Ο(σ2/2n), while the currently best bound is  Ο (qσ/2n).In this work we show that this bound is tight by giving an attack with advantage Ω (q2l/2n). In the PMAC construction one initially XORs a mask to every message block, where the mask for the ith block is computed as τi := γi·L, where L is a (secret) random value, and γi is the i-th codeword of the Gray code. Our attack applies more generally to any sequence of γi’s which contains a large coset of a subgroup of GF(2n). We then investigate if the security of PMAC can be further improved by using τi’s that are k-wise independent, for k > 1 (the original distribution is only 1-wise independent). We observe that the security of PMAC will not increase in general, even if the masks are chosen from a 2-wise independent distribution, and then prove that the security increases to O(q<2/2n), if the τi are 4-wise independent. Due to simple extension attacks, this is the best bound one can hope for, using any distribution on the masks. Whether 3-wise independence is already sufficient to get this level of security is left as an open problem.},
  author       = {Gazi, Peter and Pietrzak, Krzysztof Z and Rybar, Michal},
  issn         = {2519-173X},
  journal      = {IACR Transactions on Symmetric Cryptology},
  number       = {2},
  pages        = {145--161},
  publisher    = {Ruhr University Bochum},
  title        = {{The exact security of PMAC}},
  doi          = {10.13154/TOSC.V2016.I2.145-161},
  volume       = {2016},
  year         = {2017},
}

@article{621,
  abstract     = {The mammalian cerebral cortex is responsible for higher cognitive functions such as perception, consciousness, and acquiring and processing information. The neocortex is organized into six distinct laminae, each composed of a rich diversity of cell types which assemble into highly complex cortical circuits. Radial glia progenitors (RGPs) are responsible for producing all neocortical neurons and certain glia lineages. Here, we discuss recent discoveries emerging from clonal lineage analysis at the single RGP cell level that provide us with an inaugural quantitative framework of RGP lineage progression. We further discuss the importance of the relative contribution of intrinsic gene functions and non-cell-autonomous or community effects in regulating RGP proliferation behavior and lineage progression.},
  author       = {Beattie, Robert J and Hippenmeyer, Simon},
  issn         = {00145793},
  journal      = {FEBS letters},
  number       = {24},
  pages        = {3993  -- 4008},
  publisher    = {Wiley-Blackwell},
  title        = {{Mechanisms of radial glia progenitor cell lineage progression}},
  doi          = {10.1002/1873-3468.12906},
  volume       = {591},
  year         = {2017},
}

@inbook{623,
  abstract     = {Genetic factors might be largely responsible for the development of autism spectrum disorder (ASD) that alone or in combination with specific environmental risk factors trigger the pathology. Multiple mutations identified in ASD patients that impair synaptic function in the central nervous system are well studied in animal models. How these mutations might interact with other risk factors is not fully understood though. Additionally, how systems outside of the brain are altered in the context of ASD is an emerging area of research. Extracerebral influences on the physiology could begin in utero and contribute to changes in the brain and in the development of other body systems and further lead to epigenetic changes. Therefore, multiple recent studies have aimed at elucidating the role of gene-environment interactions in ASD. Here we provide an overview on the extracerebral systems that might play an important associative role in ASD and review evidence regarding the potential roles of inflammation, trace metals, metabolism, genetic susceptibility, enteric nervous system function and the microbiota of the gastrointestinal (GI) tract on the development of endophenotypes in animal models of ASD. By influencing environmental conditions, it might be possible to reduce or limit the severity of ASD pathology.},
  author       = {Hill Yardin, Elisa and Mckeown, Sonja and Novarino, Gaia and Grabrucker, Andreas},
  booktitle    = {Translational Anatomy and Cell Biology of Autism Spectrum Disorder},
  editor       = {Schmeisser, Michael and Boekers, Tobias},
  isbn         = {978-3-319-52496-2},
  issn         = {03015556},
  pages        = {159 -- 187},
  publisher    = {Springer},
  title        = {{Extracerebral dysfunction in animal models of autism spectrum disorder}},
  doi          = {10.1007/978-3-319-52498-6_9},
  volume       = {224},
  year         = {2017},
}

@article{624,
  abstract     = {Bacteria adapt to adverse environmental conditions by altering gene expression patterns. Recently, a novel stress adaptation mechanism has been described that allows Escherichia coli to alter gene expression at the post-transcriptional level. The key player in this regulatory pathway is the endoribonuclease MazF, the toxin component of the toxin-antitoxin module mazEF that is triggered by various stressful conditions. In general, MazF degrades the majority of transcripts by cleaving at ACA sites, which results in the retardation of bacterial growth. Furthermore, MazF can process a small subset of mRNAs and render them leaderless by removing their ribosome binding site. MazF concomitantly modifies ribosomes, making them selective for the translation of leaderless mRNAs. In this study, we employed fluorescent reporter-systems to investigate mazEF expression during stressful conditions, and to infer consequences of the mRNA processing mediated by MazF on gene expression at the single-cell level. Our results suggest that mazEF transcription is maintained at low levels in single cells encountering adverse conditions, such as antibiotic stress or amino acid starvation. Moreover, using the grcA mRNA as a model for MazF-mediated mRNA processing, we found that MazF activation promotes heterogeneity in the grcA reporter expression, resulting in a subpopulation of cells with increased levels of GrcA reporter protein.},
  author       = {Nikolic, Nela and Didara, Zrinka and Moll, Isabella},
  issn         = {21678359},
  journal      = {PeerJ},
  number       = {9},
  publisher    = {PeerJ},
  title        = {{MazF activation promotes translational heterogeneity of the grcA mRNA in Escherichia coli populations}},
  doi          = {10.7717/peerj.3830},
  volume       = {2017},
  year         = {2017},
}

@inbook{625,
  abstract     = {In the analysis of reactive systems a quantitative objective assigns a real value to every trace of the system. The value decision problem for a quantitative objective requires a trace whose value is at least a given threshold, and the exact value decision problem requires a trace whose value is exactly the threshold. We compare the computational complexity of the value and exact value decision problems for classical quantitative objectives, such as sum, discounted sum, energy, and mean-payoff for two standard models of reactive systems, namely, graphs and graph games.},
  author       = {Chatterjee, Krishnendu and Doyen, Laurent and Henzinger, Thomas A},
  booktitle    = {Models, Algorithms, Logics and Tools},
  editor       = {Aceto, Luca and Bacci, Giorgio and Ingólfsdóttir, Anna and Legay, Axel and Mardare, Radu},
  isbn         = {978-3-319-63120-2},
  issn         = {0302-9743},
  pages        = {367 -- 381},
  publisher    = {Springer},
  title        = {{The cost of exactness in quantitative reachability}},
  doi          = {10.1007/978-3-319-63121-9_18},
  volume       = {10460},
  year         = {2017},
}

@article{626,
  abstract     = {Our focus here is on the infinitesimal model. In this model, one or several quantitative traits are described as the sum of a genetic and a non-genetic component, the first being distributed within families as a normal random variable centred at the average of the parental genetic components, and with a variance independent of the parental traits. Thus, the variance that segregates within families is not perturbed by selection, and can be predicted from the variance components. This does not necessarily imply that the trait distribution across the whole population should be Gaussian, and indeed selection or population structure may have a substantial effect on the overall trait distribution. One of our main aims is to identify some general conditions on the allelic effects for the infinitesimal model to be accurate. We first review the long history of the infinitesimal model in quantitative genetics. Then we formulate the model at the phenotypic level in terms of individual trait values and relationships between individuals, but including different evolutionary processes: genetic drift, recombination, selection, mutation, population structure, …. We give a range of examples of its application to evolutionary questions related to stabilising selection, assortative mating, effective population size and response to selection, habitat preference and speciation. We provide a mathematical justification of the model as the limit as the number M of underlying loci tends to infinity of a model with Mendelian inheritance, mutation and environmental noise, when the genetic component of the trait is purely additive. We also show how the model generalises to include epistatic effects. We prove in particular that, within each family, the genetic components of the individual trait values in the current generation are indeed normally distributed with a variance independent of ancestral traits, up to an error of order 1∕M. Simulations suggest that in some cases the convergence may be as fast as 1∕M.},
  author       = {Barton, Nicholas H and Etheridge, Alison and Véber, Amandine},
  issn         = {00405809},
  journal      = {Theoretical Population Biology},
  pages        = {50 -- 73},
  publisher    = {Academic Press},
  title        = {{The infinitesimal model: Definition derivation and implications}},
  doi          = {10.1016/j.tpb.2017.06.001},
  volume       = {118},
  year         = {2017},
}

@article{627,
  abstract     = {Beige adipocytes are a new type of recruitable brownish adipocytes, with highly mitochondrial membrane uncoupling protein 1 expression and thermogenesis. Beige adipocytes were found among white adipocytes, especially in subcutaneous white adipose tissue (sWAT). Therefore, beige adipocytes may be involved in the regulation of energy metabolism and fat deposition. Transient receptor potential melastatin 8 (TRPM8), a Ca2+-permeable non-selective cation channel, plays vital roles in the regulation of various cellular functions. It has been reported that TRPM8 activation enhanced the thermogenic function of brown adiposytes. However, the involvement of TRPM8 in the thermogenic function of WAT remains unexplored. Our data revealed that TRPM8 was expressed in mouse white adipocytes at mRNA, protein and functional levels. The mRNA expression of Trpm8 was significantly increased in the differentiated white adipocytes than pre-adipocytes. Moreover, activation of TRPM8 by menthol enhanced the expression of thermogenic genes in cultured white aidpocytes. And menthol-induced increases of the thermogenic genes in white adipocytes was inhibited by either KT5720 (a protein kinase A inhibitor) or BAPTA-AM. In addition, high fat diet (HFD)-induced obesity in mice was significantly recovered by co-treatment with menthol. Dietary menthol enhanced WAT &quot;browning&quot; and improved glucose metabolism in HFD-induced obesity mice as well. Therefore, we concluded that TRPM8 might be involved in WAT &quot;browning&quot; by increasing the expression levels of genes related to thermogenesis and energy metabolism. And dietary menthol could be a novel approach for combating human obesity and related metabolic diseases.},
  author       = {Jiang, Changyu and Zhai, Ming-Zhu and Yan, Dong and Li, Da and Li, Chen and Zhang, Yonghong and Xiao, Lizu and Xiong, Donglin and Deng, Qiwen and Sun, Wuping},
  issn         = {1949-2553},
  journal      = {Oncotarget},
  number       = {43},
  pages        = {75114 -- 75126},
  publisher    = {Impact Journals},
  title        = {{Dietary menthol-induced TRPM8 activation enhances WAT “browning” and ameliorates diet-induced obesity}},
  doi          = {10.18632/oncotarget.20540},
  volume       = {8},
  year         = {2017},
}

@inproceedings{628,
  abstract     = {We consider the problem of developing automated techniques for solving recurrence relations to aid the expected-runtime analysis of programs. The motivation is that several classical textbook algorithms have quite efficient expected-runtime complexity, whereas the corresponding worst-case bounds are either inefficient (e.g., Quick-Sort), or completely ineffective (e.g., Coupon-Collector). Since the main focus of expected-runtime analysis is to obtain efficient bounds, we consider bounds that are either logarithmic, linear or almost-linear (O(log n), O(n), O(n · log n), respectively, where n represents the input size). Our main contribution is an efficient (simple linear-time algorithm) sound approach for deriving such expected-runtime bounds for the analysis of recurrence relations induced by randomized algorithms. The experimental results show that our approach can efficiently derive asymptotically optimal expected-runtime bounds for recurrences of classical randomized algorithms, including Randomized-Search, Quick-Sort, Quick-Select, Coupon-Collector, where the worst-case bounds are either inefficient (such as linear as compared to logarithmic expected-runtime complexity, or quadratic as compared to linear or almost-linear expected-runtime complexity), or ineffective.},
  author       = {Chatterjee, Krishnendu and Fu, Hongfei and Murhekar, Aniket},
  editor       = {Majumdar, Rupak and Kunčak, Viktor},
  isbn         = {978-331963386-2},
  location     = {Heidelberg, Germany},
  pages        = {118 -- 139},
  publisher    = {Springer},
  title        = {{Automated recurrence analysis for almost linear expected runtime bounds}},
  doi          = {10.1007/978-3-319-63387-9_6},
  volume       = {10426},
  year         = {2017},
}

@phdthesis{6287,
  abstract     = {The main objects considered in the present work are simplicial and CW-complexes with vertices forming a random point cloud. In particular, we consider a Poisson point process in R^n and study Delaunay and Voronoi complexes of the first and higher orders and weighted Delaunay complexes obtained as sections of Delaunay complexes, as well as the Čech complex. Further, we examine theDelaunay complex of a Poisson point process on the sphere S^n, as well as of a uniform point cloud, which is equivalent to the convex hull, providing a connection to the theory of random polytopes. Each of the complexes in question can be endowed with a radius function, which maps its cells to the radii of appropriately chosen circumspheres, called the radius of the cell. Applying and developing discrete Morse theory for these functions, joining it together with probabilistic and sometimes analytic machinery, and developing several integral geometric tools, we aim at getting the distributions of circumradii of typical cells. For all considered complexes, we are able to generalize and obtain up to constants the distribution of radii of typical intervals of all types. In low dimensions the constants can be computed explicitly, thus providing the explicit expressions for the expected numbers of cells. In particular, it allows to find the expected density of simplices of every dimension for a Poisson point process in R^4, whereas the result for R^3 was known already in 1970's.},
  author       = {Nikitenko, Anton},
  issn         = {2663-337X},
  pages        = {86},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Discrete Morse theory for random complexes }},
  doi          = {10.15479/AT:ISTA:th_873},
  year         = {2017},
}

@inbook{629,
  abstract     = {Even simple cells like bacteria have precisely regulated cellular anatomies, which allow them to grow, divide and to respond to internal or external cues with high fidelity. How spatial and temporal intracellular organization in prokaryotic cells is achieved and maintained on the basis of locally interacting proteins still remains largely a mystery. Bulk biochemical assays with purified components and in vivo experiments help us to approach key cellular processes from two opposite ends, in terms of minimal and maximal complexity. However, to understand how cellular phenomena emerge, that are more than the sum of their parts, we have to assemble cellular subsystems step by step from the bottom up. Here, we review recent in vitro reconstitution experiments with proteins of the bacterial cell division machinery and illustrate how they help to shed light on fundamental cellular mechanisms that constitute spatiotemporal order and regulate cell division.},
  author       = {Loose, Martin and Zieske, Katja and Schwille, Petra},
  booktitle    = {Prokaryotic Cytoskeletons},
  pages        = {419 -- 444},
  publisher    = {Springer},
  title        = {{Reconstitution of protein dynamics involved in bacterial cell division}},
  doi          = {10.1007/978-3-319-53047-5_15},
  volume       = {84},
  year         = {2017},
}

@phdthesis{6291,
  abstract     = {Bacteria and their pathogens – phages – are the most abundant living entities on Earth. Throughout their coevolution, bacteria have evolved multiple immune systems to overcome the ubiquitous threat from the phages. Although the molecu- lar details of these immune systems’ functions are relatively well understood, their epidemiological consequences for the phage-bacterial communities have been largely neglected. In this thesis we employed both experimental and theoretical methods to explore whether herd and social immunity may arise in bacterial popu- lations. Using our experimental system consisting of Escherichia coli strains with a CRISPR based immunity to the T7 phage we show that herd immunity arises in phage-bacterial communities and that it is accentuated when the populations are spatially structured. By fitting a mathematical model, we inferred expressions for the herd immunity threshold and the velocity of spread of a phage epidemic in partially resistant bacterial populations, which both depend on the bacterial growth rate, phage burst size and phage latent period. We also investigated the poten- tial for social immunity in Streptococcus thermophilus and its phage 2972 using a bioinformatic analysis of potentially coding short open reading frames with a signalling signature, encoded within the CRISPR associated genes. Subsequently, we tested one identified potentially signalling peptide and found that its addition to a phage-challenged culture increases probability of survival of bacteria two fold, although the results were only marginally significant. Together, these results demonstrate that the ubiquitous arms races between bacteria and phages have further consequences at the level of the population.},
  author       = {Payne, Pavel},
  issn         = {2663-337X},
  pages        = {83},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Bacterial herd and social immunity to phages}},
  year         = {2017},
}

@inproceedings{630,
  abstract     = {Background: Standards have become available to share semantically encoded vital parameters from medical devices, as required for example by personal healthcare records. Standardised sharing of biosignal data largely remains open. Objectives: The goal of this work is to explore available biosignal file format and data exchange standards and profiles, and to conceptualise end-To-end solutions. Methods: The authors reviewed and discussed available biosignal file format standards with other members of international standards development organisations (SDOs). Results: A raw concept for standards based acquisition, storage, archiving and sharing of biosignals was developed. The GDF format may serve for storing biosignals. Signals can then be shared using FHIR resources and may be stored on FHIR servers or in DICOM archives, with DICOM waveforms as one possible format. Conclusion: Currently a group of international SDOs (e.g. HL7, IHE, DICOM, IEEE) is engaged in intensive discussions. This discussion extends existing work that already was adopted by large implementer communities. The concept presented here only reports the current status of the discussion in Austria. The discussion will continue internationally, with results to be expected over the coming years.},
  author       = {Sauermann, Stefan and David, Veronika and Schlögl, Alois and Egelkraut, Reinhard and Frohner, Matthias and Pohn, Birgit and Urbauer, Philipp and Mense, Alexander},
  isbn         = {978-161499758-0},
  location     = {Vienna, Austria},
  pages        = {356 -- 362},
  publisher    = {IOS Press},
  title        = {{Biosignals standards and FHIR: The way to go}},
  doi          = {10.3233/978-1-61499-759-7-356},
  volume       = {236},
  year         = {2017},
}

@inproceedings{631,
  abstract     = {Template polyhedra generalize intervals and octagons to polyhedra whose facets are orthogonal to a given set of arbitrary directions. They have been employed in the abstract interpretation of programs and, with particular success, in the reachability analysis of hybrid automata. While previously, the choice of directions has been left to the user or a heuristic, we present a method for the automatic discovery of directions that generalize and eliminate spurious counterexamples. We show that for the class of convex hybrid automata, i.e., hybrid automata with (possibly nonlinear) convex constraints on derivatives, such directions always exist and can be found using convex optimization. We embed our method inside a CEGAR loop, thus enabling the time-unbounded reachability analysis of an important and richer class of hybrid automata than was previously possible. We evaluate our method on several benchmarks, demonstrating also its superior efficiency for the special case of linear hybrid automata.},
  author       = {Bogomolov, Sergiy and Frehse, Goran and Giacobbe, Mirco and Henzinger, Thomas A},
  isbn         = {978-366254576-8},
  location     = {Uppsala, Sweden},
  pages        = {589 -- 606},
  publisher    = {Springer},
  title        = {{Counterexample guided refinement of template polyhedra}},
  doi          = {10.1007/978-3-662-54577-5_34},
  volume       = {10205},
  year         = {2017},
}

@article{632,
  abstract     = {We consider a 2D quantum system of N bosons in a trapping potential |x|s, interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all 0 &lt; β &lt; (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w &lt; 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 &lt; β &lt; 3/4. },
  author       = {Lewin, Mathieu and Nam, Phan and Rougerie, Nicolas},
  journal      = {Proceedings of the American Mathematical Society},
  number       = {6},
  pages        = {2441 -- 2454},
  publisher    = {American Mathematical Society},
  title        = {{A note on 2D focusing many boson systems}},
  doi          = {10.1090/proc/13468},
  volume       = {145},
  year         = {2017},
}

@inproceedings{633,
  abstract     = {A Rapidly-exploring Random Tree (RRT) is an algorithm which can search a non-convex region of space by incrementally building a space-filling tree. The tree is constructed from random points drawn from system’s state space and is biased to grow towards large unexplored areas in the system. RRT can provide better coverage of a system’s possible behaviors compared with random simulations, but is more lightweight than full reachability analysis. In this paper, we explore some of the design decisions encountered while implementing a hybrid extension of the RRT algorithm, which have not been elaborated on before. In particular, we focus on handling non-determinism, which arises due to discrete transitions. We introduce the notion of important points to account for this phenomena. We showcase our ideas using heater and navigation benchmarks.},
  author       = {Bak, Stanley and Bogomolov, Sergiy and Henzinger, Thomas A and Kumar, Aviral},
  editor       = {Abate, Alessandro and Bodo, Sylvie},
  isbn         = {978-331963500-2},
  location     = {Heidelberg, Germany},
  pages        = {83 -- 89},
  publisher    = {Springer},
  title        = {{Challenges and tool implementation of hybrid rapidly exploring random trees}},
  doi          = {10.1007/978-3-319-63501-9_6},
  volume       = {10381},
  year         = {2017},
}