@article{15235, abstract = {Radiative corrections of quantum electrodynamics cause a vacuum threaded by a magnetic field to be birefringent. This means that radiation of different polarizations travels at different speeds. Even in the strong magnetic fields of astrophysical sources, the difference in speed is small. However, it has profound consequences for the extent of polarization expected from strongly magnetized sources. We demonstrate how the birefringence arises from first principles, show how birefringence affects the polarization state of radiation and present recent calculations for the expected polarization from magnetars and X-ray pulsars.}, author = {Heyl, Jeremy and Caiazzo, Ilaria}, issn = {2075-4434}, journal = {Galaxies}, keywords = {Astronomy and Astrophysics}, number = {3}, publisher = {MDPI}, title = {{Strongly magnetized sources: QED and X-ray polarization}}, doi = {10.3390/galaxies6030076}, volume = {6}, year = {2018}, } @article{15236, abstract = {Radio pulsars found in binary systems with short orbital periods are usually fast spinning as a consequence of recycling via mass transfer from their companion stars; this process is also thought to decrease the magnetic field of the neutron star being recycled. Here, we report on timing observations of the recently discovered binary PSR J1755−2550 and find that this pulsar is an exception: with a characteristic age of 2.1 Myr, it is relatively young; furthermore, with a spin period of 315 ms and a surface magnetic field strength at its poles of 0.88 × 1012 G, the pulsar shows no sign of having been recycled. Based on its timing and orbital characteristics, the pulsar either has a massive white dwarf (WD) or a neutron star (NS) companion. To distinguish between these two cases, we searched radio observations for a potential recycled pulsar companion and analysed archival optical data for a potential WD companion. Neither work returned conclusive detections. We apply population synthesis modelling and find that both solutions are roughly equally probable. Our population synthesis also predicts a minimum mass of 0.90 M⊙ for the companion star to PSR J1755−2550 and we simulate the systemic runaway velocities for the resulting WDNS systems which may merge and possibly produce Ca-rich supernovae. Whether PSR J1755−2550 hosts a WD or a NS companion star, it is certainly a member of a rare subpopulation of binary radio pulsars.}, author = {Ng, C and Kruckow, M U and Tauris, T M and Lyne, A G and Freire, P C C and Ridolfi, A and Caiazzo, Ilaria and Heyl, J and Kramer, M and Cameron, A D and Champion, D J and Stappers, B}, issn = {1365-2966}, journal = {Monthly Notices of the Royal Astronomical Society}, keywords = {Space and Planetary Science, Astronomy and Astrophysics}, number = {4}, pages = {4315--4326}, publisher = {Oxford University Press}, title = {{PSR J1755−2550: A young radio pulsar with a massive, compact companion}}, doi = {10.1093/mnras/sty482}, volume = {476}, year = {2018}, } @article{15237, abstract = {The effect of vacuum birefringence is one of the first predictions of quantum electrodynamics (QED): the presence of a charged Dirac field makes the vacuum birefringent when threaded by magnetic fields. This effect, extremely weak for terrestrial magnetic fields, becomes important for highly magnetized astrophysical objects, such as accreting black holes. In the X-ray regime, the polarization of photons traveling in the magnetosphere of a black hole is not frozen at emission but is changed by the local magnetic field. We show that, for photons traveling along the plane of the disk, where the field is expected to be partially organized, this results in a depolarization of the X-ray radiation. Because the amount of depolarization depends on the strength of the magnetic field, this effect can provide a way to probe the magnetic field in black-hole accretion disks and to study the role of magnetic fields in astrophysical accretion in general.}, author = {Caiazzo, Ilaria and Heyl, Jeremy}, issn = {2075-4434}, journal = {Galaxies}, keywords = {Astronomy and Astrophysics}, number = {2}, publisher = {MDPI}, title = {{Probing black hole magnetic fields with QED}}, doi = {10.3390/galaxies6020057}, volume = {6}, year = {2018}, } @article{15238, abstract = {In the next decade, x-ray polarimetry will open a new window on the high-energy Universe, as several missions that include an x-ray polarimeter are currently under development. Observations of the polarization of x rays coming from the accretion disks of stellar-mass and supermassive black holes are among the new polarimeters’ major objectives. In this paper, we show that these observations can be affected by the quantum electrodynamic (QED) effect of vacuum birefringence: after an x-ray photon is emitted from the accretion disk, its polarization changes as the photon travels through the accretion disk’s magnetosphere, as a result of the vacuum becoming birefringent in the presence of a magnetic field. We show that this effect can be important for black holes in the energy band of the upcoming polarimeters and has to be taken into account in a complete model of the x-ray polarization that we expect to detect from black-hole accretion disks, both for stellar mass and for supermassive black holes. We find that, for a chaotic magnetic field in the disk, QED can significantly decrease the linear polarization fraction of edge-on photons, depending on the spin of the hole and on the strength of the magnetic field. This effect can provide, for the first time, a direct way to probe the magnetic field strength close to the innermost stable orbit of black-hole accretion disks and to study the role of magnetic fields in astrophysical accretion in general.}, author = {Caiazzo, Ilaria and Heyl, Jeremy}, issn = {2470-0029}, journal = {Physical Review D}, number = {8}, publisher = {American Physical Society}, title = {{Vacuum birefringence and the x-ray polarization from black-hole accretion disks}}, doi = {10.1103/physrevd.97.083001}, volume = {97}, year = {2018}, } @inbook{153, abstract = {Cells migrating in multicellular organisms steadily traverse complex three-dimensional (3D) environments. To decipher the underlying cell biology, current experimental setups either use simplified 2D, tissue-mimetic 3D (e.g., collagen matrices) or in vivo environments. While only in vivo experiments are truly physiological, they do not allow for precise manipulation of environmental parameters. 2D in vitro experiments do allow mechanical and chemical manipulations, but increasing evidence demonstrates substantial differences of migratory mechanisms in 2D and 3D. Here, we describe simple, robust, and versatile “pillar forests” to investigate cell migration in complex but fully controllable 3D environments. Pillar forests are polydimethylsiloxane-based setups, in which two closely adjacent surfaces are interconnected by arrays of micrometer-sized pillars. Changing the pillar shape, size, height and the inter-pillar distance precisely manipulates microenvironmental parameters (e.g., pore sizes, micro-geometry, micro-topology), while being easily combined with chemotactic cues, surface coatings, diverse cell types and advanced imaging techniques. Thus, pillar forests combine the advantages of 2D cell migration assays with the precise definition of 3D environmental parameters.}, author = {Renkawitz, Jörg and Reversat, Anne and Leithner, Alexander F and Merrin, Jack and Sixt, Michael K}, booktitle = {Methods in Cell Biology}, issn = {0091-679X}, pages = {79 -- 91}, publisher = {Academic Press}, title = {{Micro-engineered “pillar forests” to study cell migration in complex but controlled 3D environments}}, doi = {10.1016/bs.mcb.2018.07.004}, volume = {147}, year = {2018}, } @inproceedings{155, abstract = {There is currently significant interest in operating devices in the quantum regime, where their behaviour cannot be explained through classical mechanics. Quantum states, including entangled states, are fragile and easily disturbed by excessive thermal noise. Here we address the question of whether it is possible to create non-reciprocal devices that encourage the flow of thermal noise towards or away from a particular quantum device in a network. Our work makes use of the cascaded systems formalism to answer this question in the affirmative, showing how a three-port device can be used as an effective thermal transistor, and illustrates how this formalism maps onto an experimentally-realisable optomechanical system. Our results pave the way to more resilient quantum devices and to the use of thermal noise as a resource.}, author = {Xuereb, André and Aquilina, Matteo and Barzanjeh, Shabir}, editor = {Andrews, D L and Ostendorf, A and Bain, A J and Nunzi, J M}, location = {Strasbourg, France}, publisher = {SPIE}, title = {{Routing thermal noise through quantum networks}}, doi = {10.1117/12.2309928}, volume = {10672}, year = {2018}, } @inproceedings{156, abstract = {Imprecision in timing can sometimes be beneficial: Metric interval temporal logic (MITL), disabling the expression of punctuality constraints, was shown to translate to timed automata, yielding an elementary decision procedure. We show how this principle extends to other forms of dense-time specification using regular expressions. By providing a clean, automaton-based formal framework for non-punctual languages, we are able to recover and extend several results in timed systems. Metric interval regular expressions (MIRE) are introduced, providing regular expressions with non-singular duration constraints. We obtain that MIRE are expressively complete relative to a class of one-clock timed automata, which can be determinized using additional clocks. Metric interval dynamic logic (MIDL) is then defined using MIRE as temporal modalities. We show that MIDL generalizes known extensions of MITL, while translating to timed automata at comparable cost.}, author = {Ferrere, Thomas}, location = {Oxford, UK}, pages = {147 -- 164}, publisher = {Springer}, title = {{The compound interest in relaxing punctuality}}, doi = {10.1007/978-3-319-95582-7_9}, volume = {10951}, year = {2018}, } @article{157, abstract = {Social dilemmas occur when incentives for individuals are misaligned with group interests 1-7 . According to the 'tragedy of the commons', these misalignments can lead to overexploitation and collapse of public resources. The resulting behaviours can be analysed with the tools of game theory 8 . The theory of direct reciprocity 9-15 suggests that repeated interactions can alleviate such dilemmas, but previous work has assumed that the public resource remains constant over time. Here we introduce the idea that the public resource is instead changeable and depends on the strategic choices of individuals. An intuitive scenario is that cooperation increases the public resource, whereas defection decreases it. Thus, cooperation allows the possibility of playing a more valuable game with higher payoffs, whereas defection leads to a less valuable game. We analyse this idea using the theory of stochastic games 16-19 and evolutionary game theory. We find that the dependence of the public resource on previous interactions can greatly enhance the propensity for cooperation. For these results, the interaction between reciprocity and payoff feedback is crucial: neither repeated interactions in a constant environment nor single interactions in a changing environment yield similar cooperation rates. Our framework shows which feedbacks between exploitation and environment - either naturally occurring or designed - help to overcome social dilemmas.}, author = {Hilbe, Christian and Šimsa, Štepán and Chatterjee, Krishnendu and Nowak, Martin}, journal = {Nature}, number = {7713}, pages = {246 -- 249}, publisher = {Nature Publishing Group}, title = {{Evolution of cooperation in stochastic games}}, doi = {10.1038/s41586-018-0277-x}, volume = {559}, year = {2018}, } @article{158, abstract = {The angiosperm seed is composed of three genetically distinct tissues: the diploid embryo that originates from the fertilized egg cell, the triploid endosperm that is produced from the fertilized central cell, and the maternal sporophytic integuments that develop into the seed coat1. At the onset of embryo development in Arabidopsis thaliana, the zygote divides asymmetrically, producing a small apical embryonic cell and a larger basal cell that connects the embryo to the maternal tissue2. The coordinated and synchronous development of the embryo and the surrounding integuments, and the alignment of their growth axes, suggest communication between maternal tissues and the embryo. In contrast to animals, however, where a network of maternal factors that direct embryo patterning have been identified3,4, only a few maternal mutations have been described to affect embryo development in plants5–7. Early embryo patterning in Arabidopsis requires accumulation of the phytohormone auxin in the apical cell by directed transport from the suspensor8–10. However, the origin of this auxin has remained obscure. Here we investigate the source of auxin for early embryogenesis and provide evidence that the mother plant coordinates seed development by supplying auxin to the early embryo from the integuments of the ovule. We show that auxin response increases in ovules after fertilization, due to upregulated auxin biosynthesis in the integuments, and this maternally produced auxin is required for correct embryo development.}, author = {Robert, Hélène and Park, Chulmin and Gutièrrez, Carla and Wójcikowska, Barbara and Pěnčík, Aleš and Novák, Ondřej and Chen, Junyi and Grunewald, Wim and Dresselhaus, Thomas and Friml, Jirí and Laux, Thomas}, journal = {Nature Plants}, number = {8}, pages = {548 -- 553}, publisher = {Nature Publishing Group}, title = {{Maternal auxin supply contributes to early embryo patterning in Arabidopsis}}, doi = {10.1038/s41477-018-0204-z}, volume = {4}, year = {2018}, } @article{159, abstract = {L-type Ca2+ channels (LTCCs) play a crucial role in excitation-contraction coupling and release of hormones from secretory cells. They are targets of antihypertensive and antiarrhythmic drugs such as diltiazem. Here, we present a photoswitchable diltiazem, FHU-779, which can be used to reversibly block endogenous LTCCs by light. FHU-779 is as potent as diltiazem and can be used to place pancreatic β-cell function and cardiac activity under optical control.}, author = {Fehrentz, Timm and Huber, Florian and Hartrampf, Nina and Bruegmann, Tobias and Frank, James and Fine, Nicholas and Malan, Daniela and Danzl, Johann G and Tikhonov, Denis and Sumser, Maritn and Sasse, Philipp and Hodson, David and Zhorov, Boris and Klocker, Nikolaj and Trauner, Dirk}, journal = {Nature Chemical Biology}, number = {8}, pages = {764 -- 767}, publisher = {Nature Publishing Group}, title = {{Optical control of L-type Ca2+ channels using a diltiazem photoswitch}}, doi = {10.1038/s41589-018-0090-8}, volume = {14}, year = {2018}, } @article{16, abstract = {We report quantitative evidence of mixing-layer elastic instability in a viscoelastic fluid flow between two widely spaced obstacles hindering a channel flow at Re 1 and Wi 1. Two mixing layers with nonuniform shear velocity profiles are formed in the region between the obstacles. The mixing-layer instability arises in the vicinity of an inflection point on the shear velocity profile with a steep variation in the elastic stress. The instability results in an intermittent appearance of small vortices in the mixing layers and an amplification of spatiotemporal averaged vorticity in the elastic turbulence regime. The latter is characterized through scaling of friction factor with Wi and both pressure and velocity spectra. Furthermore, the observations reported provide improved understanding of the stability of the mixing layer in a viscoelastic fluid at large elasticity, i.e., Wi 1 and Re 1 and oppose the current view of suppression of vorticity solely by polymer additives.}, author = {Varshney, Atul and Steinberg, Victor}, journal = {Physical Review Fluids}, number = {10}, publisher = {American Physical Society}, title = {{Mixing layer instability and vorticity amplification in a creeping viscoelastic flow}}, doi = {10.1103/PhysRevFluids.3.103303}, volume = {3}, year = {2018}, } @inproceedings{160, abstract = {We present layered concurrent programs, a compact and expressive notation for specifying refinement proofs of concurrent programs. A layered concurrent program specifies a sequence of connected concurrent programs, from most concrete to most abstract, such that common parts of different programs are written exactly once. These programs are expressed in the ordinary syntax of imperative concurrent programs using gated atomic actions, sequencing, choice, and (recursive) procedure calls. Each concurrent program is automatically extracted from the layered program. We reduce refinement to the safety of a sequence of concurrent checker programs, one each to justify the connection between every two consecutive concurrent programs. These checker programs are also automatically extracted from the layered program. Layered concurrent programs have been implemented in the CIVL verifier which has been successfully used for the verification of several complex concurrent programs.}, author = {Kragl, Bernhard and Qadeer, Shaz}, location = {Oxford, UK}, pages = {79 -- 102}, publisher = {Springer}, title = {{Layered Concurrent Programs}}, doi = {10.1007/978-3-319-96145-3_5}, volume = {10981}, year = {2018}, } @article{161, abstract = {Which properties of metabolic networks can be derived solely from stoichiometry? Predictive results have been obtained by flux balance analysis (FBA), by postulating that cells set metabolic fluxes to maximize growth rate. Here we consider a generalization of FBA to single-cell level using maximum entropy modeling, which we extend and test experimentally. Specifically, we define for Escherichia coli metabolism a flux distribution that yields the experimental growth rate: the model, containing FBA as a limit, provides a better match to measured fluxes and it makes a wide range of predictions: on flux variability, regulation, and correlations; on the relative importance of stoichiometry vs. optimization; on scaling relations for growth rate distributions. We validate the latter here with single-cell data at different sub-inhibitory antibiotic concentrations. The model quantifies growth optimization as emerging from the interplay of competitive dynamics in the population and regulation of metabolism at the level of single cells.}, author = {De Martino, Daniele and Mc, Andersson Anna and Bergmiller, Tobias and Guet, Calin C and Tkacik, Gasper}, journal = {Nature Communications}, number = {1}, publisher = {Springer Nature}, title = {{Statistical mechanics for metabolic networks during steady state growth}}, doi = {10.1038/s41467-018-05417-9}, volume = {9}, year = {2018}, } @article{162, abstract = {Facial shape is the basis for facial recognition and categorization. Facial features reflect the underlying geometry of the skeletal structures. Here, we reveal that cartilaginous nasal capsule (corresponding to upper jaw and face) is shaped by signals generated by neural structures: brain and olfactory epithelium. Brain-derived Sonic Hedgehog (SHH) enables the induction of nasal septum and posterior nasal capsule, whereas the formation of a capsule roof is controlled by signals from the olfactory epithelium. Unexpectedly, the cartilage of the nasal capsule turned out to be important for shaping membranous facial bones during development. This suggests that conserved neurosensory structures could benefit from protection and have evolved signals inducing cranial cartilages encasing them. Experiments with mutant mice revealed that the genomic regulatory regions controlling production of SHH in the nervous system contribute to facial cartilage morphogenesis, which might be a mechanism responsible for the adaptive evolution of animal faces and snouts.}, author = {Kaucka, Marketa and Petersen, Julian and Tesarova, Marketa and Szarowska, Bara and Kastriti, Maria and Xie, Meng and Kicheva, Anna and Annusver, Karl and Kasper, Maria and Symmons, Orsolya and Pan, Leslie and Spitz, Francois and Kaiser, Jozef and Hovorakova, Maria and Zikmund, Tomas and Sunadome, Kazunori and Matise, Michael P and Wang, Hui and Marklund, Ulrika and Abdo, Hind and Ernfors, Patrik and Maire, Pascal and Wurmser, Maud and Chagin, Andrei S and Fried, Kaj and Adameyko, Igor}, journal = {eLife}, publisher = {eLife Sciences Publications}, title = {{Signals from the brain and olfactory epithelium control shaping of the mammalian nasal capsule cartilage}}, doi = {10.7554/eLife.34465}, volume = {7}, year = {2018}, } @article{163, abstract = {For ultrafast fixation of biological samples to avoid artifacts, high-pressure freezing (HPF) followed by freeze substitution (FS) is preferred over chemical fixation at room temperature. After HPF, samples are maintained at low temperature during dehydration and fixation, while avoiding damaging recrystallization. This is a notoriously slow process. McDonald and Webb demonstrated, in 2011, that sample agitation during FS dramatically reduces the necessary time. Then, in 2015, we (H.G. and S.R.) introduced an agitation module into the cryochamber of an automated FS unit and demonstrated that the preparation of algae could be shortened from days to a couple of hours. We argued that variability in the processing, reproducibility, and safety issues are better addressed using automated FS units. For dissemination, we started low-cost manufacturing of agitation modules for two of the most widely used FS units, the Automatic Freeze Substitution Systems, AFS(1) and AFS2, from Leica Microsystems, using three dimensional (3D)-printing of the major components. To test them, several labs independently used the modules on a wide variety of specimens that had previously been processed by manual agitation, or without agitation. We demonstrate that automated processing with sample agitation saves time, increases flexibility with respect to sample requirements and protocols, and produces data of at least as good quality as other approaches.}, author = {Reipert, Siegfried and Goldammer, Helmuth and Richardson, Christine and Goldberg, Martin and Hawkins, Timothy and Hollergschwandtner, Elena and Kaufmann, Walter and Antreich, Sebastian and Stierhof, York}, issn = {0022-1554}, journal = {Journal of Histochemistry and Cytochemistry}, number = {12}, pages = {903--921}, publisher = {SAGE Publications}, title = {{Agitation modules: Flexible means to accelerate automated freeze substitution}}, doi = {10.1369/0022155418786698}, volume = {66}, year = {2018}, } @article{17, abstract = {Creeping flow of polymeric fluid without inertia exhibits elastic instabilities and elastic turbulence accompanied by drag enhancement due to elastic stress produced by flow-stretched polymers. However, in inertia-dominated flow at high Re and low fluid elasticity El, a reduction in turbulent frictional drag is caused by an intricate competition between inertial and elastic stresses. Here we explore the effect of inertia on the stability of viscoelastic flow in a broad range of control parameters El and (Re,Wi). We present the stability diagram of observed flow regimes in Wi-Re coordinates and find that the instabilities' onsets show an unexpectedly nonmonotonic dependence on El. Further, three distinct regions in the diagram are identified based on El. Strikingly, for high-elasticity fluids we discover a complete relaminarization of flow at Reynolds number in the range of 1 to 10, different from a well-known turbulent drag reduction. These counterintuitive effects may be explained by a finite polymer extensibility and a suppression of vorticity at high Wi. Our results call for further theoretical and numerical development to uncover the role of inertial effect on elastic turbulence in a viscoelastic flow.}, author = {Varshney, Atul and Steinberg, Victor}, journal = {Physical Review Fluids}, number = {10}, publisher = {American Physical Society}, title = {{Drag enhancement and drag reduction in viscoelastic flow}}, doi = {10.1103/PhysRevFluids.3.103302}, volume = {3}, year = {2018}, } @inproceedings{185, abstract = {We resolve in the affirmative conjectures of A. Skopenkov and Repovš (1998), and M. Skopenkov (2003) generalizing the classical Hanani-Tutte theorem to the setting of approximating maps of graphs on 2-dimensional surfaces by embeddings. Our proof of this result is constructive and almost immediately implies an efficient algorithm for testing whether a given piecewise linear map of a graph in a surface is approximable by an embedding. More precisely, an instance of this problem consists of (i) a graph G whose vertices are partitioned into clusters and whose inter-cluster edges are partitioned into bundles, and (ii) a region R of a 2-dimensional compact surface M given as the union of a set of pairwise disjoint discs corresponding to the clusters and a set of pairwise disjoint "pipes" corresponding to the bundles, connecting certain pairs of these discs. We are to decide whether G can be embedded inside M so that the vertices in every cluster are drawn in the corresponding disc, the edges in every bundle pass only through its corresponding pipe, and every edge crosses the boundary of each disc at most once.}, author = {Fulek, Radoslav and Kynčl, Jan}, isbn = {978-3-95977-066-8}, location = {Budapest, Hungary}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Hanani-Tutte for approximating maps of graphs}}, doi = {10.4230/LIPIcs.SoCG.2018.39}, volume = {99}, year = {2018}, } @inproceedings{186, abstract = {A drawing of a graph on a surface is independently even if every pair of nonadjacent edges in the drawing crosses an even number of times. The ℤ2-genus of a graph G is the minimum g such that G has an independently even drawing on the orientable surface of genus g. An unpublished result by Robertson and Seymour implies that for every t, every graph of sufficiently large genus contains as a minor a projective t × t grid or one of the following so-called t-Kuratowski graphs: K3, t, or t copies of K5 or K3,3 sharing at most 2 common vertices. We show that the ℤ2-genus of graphs in these families is unbounded in t; in fact, equal to their genus. Together, this implies that the genus of a graph is bounded from above by a function of its ℤ2-genus, solving a problem posed by Schaefer and Štefankovič, and giving an approximate version of the Hanani-Tutte theorem on orientable surfaces.}, author = {Fulek, Radoslav and Kynčl, Jan}, location = {Budapest, Hungary}, pages = {40.1 -- 40.14}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{The ℤ2-Genus of Kuratowski minors}}, doi = {10.4230/LIPIcs.SoCG.2018.40}, volume = {99}, year = {2018}, } @inproceedings{187, abstract = {Given a locally finite X ⊆ ℝd and a radius r ≥ 0, the k-fold cover of X and r consists of all points in ℝd that have k or more points of X within distance r. We consider two filtrations - one in scale obtained by fixing k and increasing r, and the other in depth obtained by fixing r and decreasing k - and we compute the persistence diagrams of both. While standard methods suffice for the filtration in scale, we need novel geometric and topological concepts for the filtration in depth. In particular, we introduce a rhomboid tiling in ℝd+1 whose horizontal integer slices are the order-k Delaunay mosaics of X, and construct a zigzag module from Delaunay mosaics that is isomorphic to the persistence module of the multi-covers. }, author = {Edelsbrunner, Herbert and Osang, Georg F}, location = {Budapest, Hungary}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{The multi-cover persistence of Euclidean balls}}, doi = {10.4230/LIPIcs.SoCG.2018.34}, volume = {99}, year = {2018}, } @inproceedings{188, abstract = {Smallest enclosing spheres of finite point sets are central to methods in topological data analysis. Focusing on Bregman divergences to measure dissimilarity, we prove bounds on the location of the center of a smallest enclosing sphere. These bounds depend on the range of radii for which Bregman balls are convex.}, author = {Edelsbrunner, Herbert and Virk, Ziga and Wagner, Hubert}, location = {Budapest, Hungary}, pages = {35:1 -- 35:13}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Smallest enclosing spheres and Chernoff points in Bregman geometry}}, doi = {10.4230/LIPIcs.SoCG.2018.35}, volume = {99}, year = {2018}, }