@article{1313,
  abstract     = {We present an algorithm for the derivation of lower bounds on support propagation for a certain class of nonlinear parabolic equations. We proceed by combining the ideas in some recent papers by the author with the algorithmic construction of entropies due to Jüngel and Matthes, reducing the problem to a quantifier elimination problem. Due to its complexity, the quantifier elimination problem cannot be solved by present exact algorithms. However, by tackling the quantifier elimination problem numerically, in the case of the thin-film equation we are able to improve recent results by the author in the regime of strong slippage n ∈ (1, 2). For certain second-order doubly nonlinear parabolic equations, we are able to extend the known lower bounds on free boundary propagation to the case of irregular oscillatory initial data. Finally, we apply our method to a sixth-order quantum drift-diffusion equation, resulting in an upper bound on the time which it takes for the support to reach every point in the domain.},
  author       = {Julian Fischer},
  journal      = {Interfaces and Free Boundaries},
  number       = {1},
  pages        = {1 -- 20},
  publisher    = {European Mathematical Society Publishing House},
  title        = {{Estimates on front propagation for nonlinear higher-order parabolic equations: An algorithmic approach}},
  doi          = {10.4171/IFB/331},
  volume       = {17},
  year         = {2015},
}

@article{1314,
  abstract     = {We derive a posteriori estimates for the modeling error caused by the assumption of perfect incompressibility in the incompressible Navier-Stokes equation: Real fluids are never perfectly incompressible but always feature at least some low amount of compressibility. Thus, their behavior is described by the compressible Navier-Stokes equation, the pressure being a steep function of the density. We rigorously estimate the difference between an approximate solution to the incompressible Navier-Stokes equation and any weak solution to the compressible Navier-Stokes equation in the sense of Lions (without assuming any additional regularity of solutions). Heuristics and numerical results suggest that our error estimates are of optimal order in the case of "well-behaved" flows and divergence-free approximations of the velocity field. Thus, we expect our estimates to justify the idealization of fluids as perfectly incompressible also in practical situations.},
  author       = {Fischer, Julian L},
  journal      = {SIAM Journal on Numerical Analysis},
  number       = {5},
  pages        = {2178 -- 2205},
  publisher    = {Society for Industrial and Applied Mathematics },
  title        = {{A posteriori modeling error estimates for the assumption of perfect incompressibility in the Navier-Stokes equation}},
  doi          = {10.1137/140966654},
  volume       = {53},
  year         = {2015},
}

@article{19805,
  abstract     = {Understanding the role of electron correlations in strong spin-orbit transition-metal oxides is key to the realization of numerous exotic phases including spin-orbit–assisted Mott insulators, correlated topological solids, and prospective new high-temperature superconductors. To date, most attention has been focused on the 5d iridium-based oxides. We instead consider the Pt-based delafossite oxide PtCoO2. Our transport measurements, performed on single-crystal samples etched to well-defined geometries using focused ion beam techniques, yield a room temperature resistivity of only 2.1 microhm·cm (μΩ-cm), establishing PtCoO2 as the most conductive oxide known. From angle-resolved photoemission and density functional theory, we show that the underlying Fermi surface is a single cylinder of nearly hexagonal cross-section, with very weak dispersion along kz. Despite being predominantly composed of d-orbital character, the conduction band is remarkably steep, with an average effective mass of only 1.14me. Moreover, the sharp spectral features observed in photoemission remain well defined with little additional broadening for more than 500 meV below EF, pointing to suppressed electron-electron scattering. Together, our findings establish PtCoO2 as a model nearly-free–electron system in a 5d delafossite transition-metal oxide.},
  author       = {Kushwaha, Pallavi and Sunko, Veronika and Moll, Philip J. W. and Bawden, Lewis and Riley, Jonathon M. and Nandi, Nabhanila and Rosner, Helge and Schmidt, Marcus P. and Arnold, Frank and Hassinger, Elena and Kim, Timur K. and Hoesch, Moritz and Mackenzie, Andrew P. and King, Phil D. C.},
  issn         = {2375-2548},
  journal      = {Science Advances},
  number       = {9},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Nearly free electrons in a 5d delafossite oxide metal}},
  doi          = {10.1126/sciadv.1500692},
  volume       = {1},
  year         = {2015},
}

@article{1981,
  abstract     = {Variation in mitochondrial DNA is often assumed to be neutral and is used to construct the genealogical relationships among populations and species. However, if extant variation is the result of episodes of positive selection, these genealogies may be incorrect, although this information itself may pro-vide biologically and evolutionary meaningful information. In fact, positive Darwinian selection has been detected in the mitochondrial-encoded subunits that comprise complex I from diverse taxa with seemingly dissimilar bioenergetic life histories, but the functional implications of the selected sites are unknown. Complex I produces roughly 40% of the proton flux that is used to synthesize ATP from ADP, and a functional model based on the high-resolution structure of complex I described a unique biomechanical apparatus for proton translocation. We reported positive selection at sites in this apparatus during the evolution of Pacific salmon, and it appeared this was also the case in published reports from other taxa, but a comparison among studies was difficult because different statistical tests were used to detect selection and oftentimes, specific sites were not reported. Here we review the literature of positive selection in mitochondrial genomes, the statistical tests used to detect selection, and the structural and functional models that are currently available to study the physiological implications of selection. We then search for signatures of positive selection among the coding mitochondrial genomes of 237 species with a common set of tests and verify that the ND5 subunit of complex I is a repeated target of positive Darwinian selection in diverse taxa. We propose a novel hypothesis to explain the results based on their bioenergetic life histories and provide a guide for laboratory and field studies to test this hypothesis.},
  author       = {Garvin, Michael and Bielawski, Joseph and Sazanov, Leonid A and Gharrett, Anthony},
  journal      = {Journal of Zoological Systematics and Evolutionary Research},
  number       = {1},
  pages        = {1 -- 17},
  publisher    = {Wiley},
  title        = {{Review and meta-analysis of natural selection in mitochondrial complex I in metazoans}},
  doi          = {10.1111/jzs.12079},
  volume       = {53},
  year         = {2015},
}

@inproceedings{1992,
  abstract     = {We present a method and a tool for generating succinct representations of sets of concurrent traces. We focus on trace sets that contain all correct or all incorrect permutations of events from a given trace. We represent trace sets as HB-Formulas that are Boolean combinations of happens-before constraints between events. To generate a representation of incorrect interleavings, our method iteratively explores interleavings that violate the specification and gathers generalizations of the discovered interleavings into an HB-Formula; its complement yields a representation of correct interleavings.

We claim that our trace set representations can drive diverse verification, fault localization, repair, and synthesis techniques for concurrent programs. We demonstrate this by using our tool in three case studies involving synchronization synthesis, bug summarization, and abstraction refinement based verification. In each case study, our initial experimental results have been promising.

In the first case study, we present an algorithm for inferring missing synchronization from an HB-Formula representing correct interleavings of a given trace. The algorithm applies rules to rewrite specific patterns in the HB-Formula into locks, barriers, and wait-notify constructs. In the second case study, we use an HB-Formula representing incorrect interleavings for bug summarization. While the HB-Formula itself is a concise counterexample summary, we present additional inference rules to help identify specific concurrency bugs such as data races, define-use order violations, and two-stage access bugs. In the final case study, we present a novel predicate learning procedure that uses HB-Formulas representing abstract counterexamples to accelerate counterexample-guided abstraction refinement (CEGAR). In each iteration of the CEGAR loop, the procedure refines the abstraction to eliminate multiple spurious abstract counterexamples drawn from the HB-Formula.},
  author       = {Gupta, Ashutosh and Henzinger, Thomas A and Radhakrishna, Arjun and Samanta, Roopsha and Tarrach, Thorsten},
  isbn         = {978-1-4503-3300-9},
  location     = {Mumbai, India},
  pages        = {433 -- 444},
  publisher    = {ACM},
  title        = {{Succinct representation of concurrent trace sets}},
  doi          = {10.1145/2676726.2677008},
  year         = {2015},
}

@article{1993,
  abstract     = {The fitness effects of symbionts on their hosts can be context-dependent, with usually benign symbionts causing detrimental effects when their hosts are stressed, or typically parasitic symbionts providing protection towards their hosts (e.g. against pathogen infection). Here, we studied the novel association between the invasive garden ant Lasius neglectus and its fungal ectosymbiont Laboulbenia formicarum for potential costs and benefits. We tested ants with different Laboulbenia levels for their survival and immunity under resource limitation and exposure to the obligate killing entomopathogen Metarhizium brunneum. While survival of L. neglectus workers under starvation was significantly decreased with increasing Laboulbenia levels, host survival under Metarhizium exposure increased with higher levels of the ectosymbiont, suggesting a symbiont-mediated anti-pathogen protection, which seems to be driven mechanistically by both improved sanitary behaviours and an upregulated immune system. Ants with high Laboulbenia levels showed significantly longer self-grooming and elevated expression of immune genes relevant for wound repair and antifungal responses (β-1,3-glucan binding protein, Prophenoloxidase), compared with ants carrying low Laboulbenia levels. This suggests that the ectosymbiont Laboulbenia formicarum weakens its ant host by either direct resource exploitation or the costs of an upregulated behavioural and immunological response, which, however, provides a prophylactic protection upon later exposure to pathogens. },
  author       = {Konrad, Matthias and Grasse, Anna V and Tragust, Simon and Cremer, Sylvia},
  issn         = {1471-2954},
  journal      = {Proceedings of the Royal Society of London Series B Biological Sciences},
  number       = {1799},
  publisher    = {The Royal Society},
  title        = {{Anti-pathogen protection versus survival costs mediated by an ectosymbiont in an ant host}},
  doi          = {10.1098/rspb.2014.1976},
  volume       = {282},
  year         = {2015},
}

@article{1997,
  abstract     = {We prove that the three-state toric homogeneous Markov chain model has Markov degree two. In algebraic terminology this means, that a certain class of toric ideals is generated by quadratic binomials. This was conjectured by Haws, Martin del Campo, Takemura and Yoshida, who proved that they are generated by degree six binomials.},
  author       = {Noren, Patrik},
  journal      = {Journal of Symbolic Computation},
  number       = {May-June},
  pages        = {285 -- 296},
  publisher    = {Elsevier},
  title        = {{The three-state toric homogeneous Markov chain model has Markov degree two}},
  doi          = {10.1016/j.jsc.2014.09.014},
  volume       = {68/Part 2},
  year         = {2015},
}

@article{2006,
  abstract     = {The monotone secant conjecture posits a rich class of polynomial systems, all of whose solutions are real. These systems come from the Schubert calculus on flag manifolds, and the monotone secant conjecture is a compelling generalization of the Shapiro conjecture for Grassmannians (Theorem of Mukhin, Tarasov, and Varchenko). We present some theoretical evidence for this conjecture, as well as computational evidence obtained by 1.9 teraHertz-years of computing, and we discuss some of the phenomena we observed in our data. },
  author       = {Hein, Nicolas and Hillar, Christopher and Martin Del Campo Sanchez, Abraham and Sottile, Frank and Teitler, Zach},
  journal      = {Experimental Mathematics},
  number       = {3},
  pages        = {261 -- 269},
  publisher    = {Taylor & Francis},
  title        = {{The monotone secant conjecture in the real Schubert calculus}},
  doi          = {10.1080/10586458.2014.980044},
  volume       = {24},
  year         = {2015},
}

@article{2008,
  abstract     = {The paper describes a generalized iterative proportional fitting procedure that can be used for maximum likelihood estimation in a special class of the general log-linear model. The models in this class, called relational, apply to multivariate discrete sample spaces that do not necessarily have a Cartesian product structure and may not contain an overall effect. When applied to the cell probabilities, the models without the overall effect are curved exponential families and the values of the sufficient statistics are reproduced by the MLE only up to a constant of proportionality. The paper shows that Iterative Proportional Fitting, Generalized Iterative Scaling, and Improved Iterative Scaling fail to work for such models. The algorithm proposed here is based on iterated Bregman projections. As a by-product, estimates of the multiplicative parameters are also obtained. An implementation of the algorithm is available as an R-package.},
  author       = {Klimova, Anna and Rudas, Tamás},
  journal      = {Scandinavian Journal of Statistics},
  number       = {3},
  pages        = {832 -- 847},
  publisher    = {Wiley},
  title        = {{Iterative scaling in curved exponential families}},
  doi          = {10.1111/sjos.12139},
  volume       = {42},
  year         = {2015},
}

@article{2014,
  abstract     = {The concepts of faithfulness and strong-faithfulness are important for statistical learning of graphical models. Graphs are not sufficient for describing the association structure of a discrete distribution. Hypergraphs representing hierarchical log-linear models are considered instead, and the concept of parametric (strong-) faithfulness with respect to a hypergraph is introduced. Strong-faithfulness ensures the existence of uniformly consistent parameter estimators and enables building uniformly consistent procedures for a hypergraph search. The strength of association in a discrete distribution can be quantified with various measures, leading to different concepts of strong-faithfulness. Lower and upper bounds for the proportions of distributions that do not satisfy strong-faithfulness are computed for different parameterizations and measures of association.},
  author       = {Klimova, Anna and Uhler, Caroline and Rudas, Tamás},
  journal      = {Computational Statistics & Data Analysis},
  number       = {7},
  pages        = {57 -- 72},
  publisher    = {Elsevier},
  title        = {{Faithfulness and learning hypergraphs from discrete distributions}},
  doi          = {10.1016/j.csda.2015.01.017},
  volume       = {87},
  year         = {2015},
}

@article{2025,
  abstract     = {Small GTP-binding proteins of the Ras superfamily play diverse roles in intracellular trafficking. Among them, the Rab, Arf, and Rho families function in successive steps of vesicle transport, in forming vesicles from donor membranes, directing vesicle trafficking toward target membranes and docking vesicles onto target membranes. These proteins act as molecular switches that are controlled by a cycle of GTP binding and hydrolysis regulated by guanine nucleotide exchange factors (GEFs) and GTPase-activating proteins (GAPs). In this study we explored the role of GAPs in the regulation of the endocytic pathway using fluorescently labeled yeast mating pheromone α-factor. Among 25 non-essential GAP mutants, we found that deletion of the GLO3 gene, encoding Arf-GAP protein, caused defective internalization of fluorescently labeled α-factor. Quantitative analysis revealed that glo3Δ cells show defective α-factor binding to the cell surface. Interestingly, Ste2p, the α-factor receptor, was mis-localized from the plasma membrane to the vacuole in glo3Δ cells. Domain deletion mutants of Glo3p revealed that a GAP-independent function, as well as the GAP activity, of Glo3p is important for both α-factor binding and Ste2p localization at the cell surface. Additionally, we found that deletion of the GLO3 gene affects the size and number of Arf1p-residing Golgi compartments and causes a defect in transport from the TGN to the plasma membrane. Furthermore, we demonstrated that glo3Δ cells were defective in the late endosome-to-TGN transport pathway, but not in the early endosome-to-TGN transport pathway. These findings suggest novel roles for Arf-GAP Glo3p in endocytic recycling of cell surface proteins.},
  author       = {Kawada, Daiki and Kobayashi, Hiromu and Tomita, Tsuyoshi and Nakata, Eisuke and Nagano, Makoto and Siekhaus, Daria E and Toshima, Junko and Toshimaa, Jiro},
  journal      = {Biochimica et Biophysica Acta - Molecular Cell Research},
  number       = {1},
  pages        = {144 -- 156},
  publisher    = {Elsevier},
  title        = {{The yeast Arf-GAP Glo3p is required for the endocytic recycling of cell surface proteins}},
  doi          = {10.1016/j.bbamcr.2014.10.009},
  volume       = {1853},
  year         = {2015},
}

@article{2030,
  abstract     = {A hybrid-parallel direct-numerical-simulation method with application to turbulent Taylor-Couette flow is presented. The Navier-Stokes equations are discretized in cylindrical coordinates with the spectral Fourier-Galerkin method in the axial and azimuthal directions, and high-order finite differences in the radial direction. Time is advanced by a second-order, semi-implicit projection scheme, which requires the solution of five Helmholtz/Poisson equations, avoids staggered grids and renders very small slip velocities. Nonlinear terms are evaluated with the pseudospectral method. The code is parallelized using a hybrid MPI-OpenMP strategy, which, compared with a flat MPI parallelization, is simpler to implement, allows to reduce inter-node communications and MPI overhead that become relevant at high processor-core counts, and helps to contain the memory footprint. A strong scaling study shows that the hybrid code maintains scalability up to more than 20,000 processor cores and thus allows to perform simulations at higher resolutions than previously feasible. In particular, it opens up the possibility to simulate turbulent Taylor-Couette flows at Reynolds numbers up to O(105). This enables to probe hydrodynamic turbulence in Keplerian flows in experimentally relevant regimes.},
  author       = {Shi, Liang and Rampp, Markus and Hof, Björn and Avila, Marc},
  journal      = {Computers and Fluids},
  number       = {1},
  pages        = {1 -- 11},
  publisher    = {Elsevier},
  title        = {{A hybrid MPI-OpenMP parallel implementation for pseudospectral simulations with application to Taylor-Couette flow}},
  doi          = {10.1016/j.compfluid.2014.09.021},
  volume       = {106},
  year         = {2015},
}

@article{2034,
  abstract     = {Opacity is a generic security property, that has been defined on (non-probabilistic) transition systems and later on Markov chains with labels. For a secret predicate, given as a subset of runs, and a function describing the view of an external observer, the value of interest for opacity is a measure of the set of runs disclosing the secret. We extend this definition to the richer framework of Markov decision processes, where non-deterministicchoice is combined with probabilistic transitions, and we study related decidability problems with partial or complete observation hypotheses for the schedulers. We prove that all questions are decidable with complete observation and ω-regular secrets. With partial observation, we prove that all quantitative questions are undecidable but the question whether a system is almost surely non-opaquebecomes decidable for a restricted class of ω-regular secrets, as well as for all ω-regular secrets under finite-memory schedulers.},
  author       = {Bérard, Béatrice and Chatterjee, Krishnendu and Sznajder, Nathalie},
  journal      = { Information Processing Letters},
  number       = {1},
  pages        = {52 -- 59},
  publisher    = {Elsevier},
  title        = {{Probabilistic opacity for Markov decision processes}},
  doi          = {10.1016/j.ipl.2014.09.001},
  volume       = {115},
  year         = {2015},
}

@article{2035,
  abstract     = {Considering a continuous self-map and the induced endomorphism on homology, we study the eigenvalues and eigenspaces of the latter. Taking a filtration of representations, we define the persistence of the eigenspaces, effectively introducing a hierarchical organization of the map. The algorithm that computes this information for a finite sample is proved to be stable, and to give the correct answer for a sufficiently dense sample. Results computed with an implementation of the algorithm provide evidence of its practical utility.
},
  author       = {Edelsbrunner, Herbert and Jablonski, Grzegorz and Mrozek, Marian},
  journal      = {Foundations of Computational Mathematics},
  number       = {5},
  pages        = {1213 -- 1244},
  publisher    = {Springer},
  title        = {{The persistent homology of a self-map}},
  doi          = {10.1007/s10208-014-9223-y},
  volume       = {15},
  year         = {2015},
}

@article{1874,
  abstract     = {The hippocampal region, comprising the hippocampal formation and the parahippocampal region, has been one of the most intensively studied parts of the brain for decades. Better understanding of its functional diversity and complexity has led to an increased demand for specificity in experimental procedures and manipulations. In view of the complex 3D structure of the hippocampal region, precisely positioned experimental approaches require a fine-grained architectural description that is available and readable to experimentalists lacking detailed anatomical experience. In this paper, we provide the first cyto- and chemoarchitectural description of the hippocampal formation and parahippocampal region in the rat at high resolution and in the three standard sectional planes: coronal, horizontal and sagittal. The atlas uses a series of adjacent sections stained for neurons and for a number of chemical marker substances, particularly parvalbumin and calbindin. All the borders defined in one plane have been cross-checked against their counterparts in the other two planes. The entire dataset will be made available as a web-based interactive application through the Rodent Brain WorkBench (http://www.rbwb.org) which, together with this paper, provides a unique atlas resource.},
  author       = {Boccara, Charlotte and Kjønigsen, Lisa and Hammer, Ingvild and Bjaalie, Jan and Leergaard, Trygve and Witter, Menno},
  journal      = {Hippocampus},
  number       = {7},
  pages        = {838 -- 857},
  publisher    = {Wiley},
  title        = {{A three-plane architectonic atlas of the rat hippocampal region}},
  doi          = {10.1002/hipo.22407},
  volume       = {25},
  year         = {2015},
}

@article{1878,
  abstract     = {Petrocoptis is a small genus of chasmophytic plants endemic to the Iberian Peninsula, with some localized populations in the French Pyrenees. Within the genus, a dozen species have been recognized based on morphological diversity, most of them with limited distribution area, in small populations and frequently with potential threats to their survival. To date, however, a molecular evaluation of the current systematic treatments has not been carried out. The aim of the present study is to infer phylogenetic relationships among its subordinate taxa by using plastidial rps16 intron and nuclear internal transcribed spacer (ITS) DNA sequences; and evaluate the phylogenetic placement of the genus Petrocoptis within the family Caryophyllaceae. The monophyly of Petrocoptis is supported by both ITS and rps16 intron sequence analyses. Furthermore, time estimates using BEAST analyses indicate a Middle to Late Miocene diversification (10.59 Myr, 6.44–15.26 Myr highest posterior densities [HPD], for ITS; 14.30 Myr, 8.61–21.00 Myr HPD, for rps16 intron).},
  author       = {Cires Rodriguez, Eduardo and Prieto, José},
  journal      = {Journal of Plant Research},
  number       = {2},
  pages        = {223 -- 238},
  publisher    = {Springer},
  title        = {{Phylogenetic relationships of Petrocoptis A. Braun ex Endl. (Caryophyllaceae), a discussed genus from the Iberian Peninsula}},
  doi          = {10.1007/s10265-014-0691-6},
  volume       = {128},
  year         = {2015},
}

@article{1879,
  abstract     = {When electron microscopy (EM) was introduced in the 1930s it gave scientists their first look into the nanoworld of cells. Over the last 80 years EM has vastly increased our understanding of the complex cellular structures that underlie the diverse functions that cells need to maintain life. One drawback that has been difficult to overcome was the inherent lack of volume information, mainly due to the limit on the thickness of sections that could be viewed in a transmission electron microscope (TEM). For many years scientists struggled to achieve three-dimensional (3D) EM using serial section reconstructions, TEM tomography, and scanning EM (SEM) techniques such as freeze-fracture. Although each technique yielded some special information, they required a significant amount of time and specialist expertise to obtain even a very small 3D EM dataset. Almost 20 years ago scientists began to exploit SEMs to image blocks of embedded tissues and perform serial sectioning of these tissues inside the SEM chamber. Using first focused ion beams (FIB) and subsequently robotic ultramicrotomes (serial block-face, SBF-SEM) microscopists were able to collect large volumes of 3D EM information at resolutions that could address many important biological questions, and do so in an efficient manner. We present here some examples of 3D EM taken from the many diverse specimens that have been imaged in our core facility. We propose that the next major step forward will be to efficiently correlate functional information obtained using light microscopy (LM) with 3D EM datasets to more completely investigate the important links between cell structures and their functions.},
  author       = {Kremer, A and Lippens, Stefaan and Bartunkova, Sonia and Asselbergh, Bob and Blanpain, Cendric and Fendrych, Matyas and Goossens, A and Holt, Matthew and Janssens, Sophie and Krols, Michiel and Larsimont, Jean and Mc Guire, Conor and Nowack, Moritz and Saelens, Xavier and Schertel, Andreas and Schepens, B and Slezak, M and Timmerman, Vincent and Theunis, Clara and Van Brempt, Ronald and Visser, Y and Guérin, Christophe},
  journal      = {Journal of Microscopy},
  number       = {2},
  pages        = {80 -- 96},
  publisher    = {Wiley-Blackwell},
  title        = {{Developing 3D SEM in a broad biological context}},
  doi          = {10.1111/jmi.12211},
  volume       = {259},
  year         = {2015},
}

@article{1880,
  abstract     = {We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting bosons in a strong random potential. We prove rigorously that in a certain parameter regime the superfluid fraction can be arbitrarily small while complete BEC prevails. In another regime there is both complete BEC and complete superfluidity, despite the strong disorder},
  author       = {Könenberg, Martin and Moser, Thomas and Seiringer, Robert and Yngvason, Jakob},
  journal      = {New Journal of Physics},
  publisher    = {IOP Publishing},
  title        = {{Superfluid behavior of a Bose-Einstein condensate in a random potential}},
  doi          = {10.1088/1367-2630/17/1/013022},
  volume       = {17},
  year         = {2015},
}

@inproceedings{1882,
  abstract     = {We provide a framework for compositional and iterative design and verification of systems with quantitative information, such as rewards, time or energy. It is based on disjunctive modal transition systems where we allow actions to bear various types of quantitative information. Throughout the design process the actions can be further refined and the information made more precise. We show how to compute the results of standard operations on the systems, including the quotient (residual), which has not been previously considered for quantitative non-deterministic systems. Our quantitative framework has close connections to the modal nu-calculus and is compositional with respect to general notions of distances between systems and the standard operations.},
  author       = {Fahrenberg, Uli and Kretinsky, Jan and Legay, Axel and Traonouez, Louis},
  location     = {Bertinoro, Italy},
  pages        = {306 -- 324},
  publisher    = {Springer},
  title        = {{Compositionality for quantitative specifications}},
  doi          = {10.1007/978-3-319-15317-9_19},
  volume       = {8997},
  year         = {2015},
}

@article{1883,
  abstract     = {We introduce a one-parametric family of tree growth models, in which branching probabilities decrease with branch age τ as τ-α. Depending on the exponent α, the scaling of tree depth with tree size n displays a transition between the logarithmic scaling of random trees and an algebraic growth. At the transition (α=1) tree depth grows as (logn)2. This anomalous scaling is in good agreement with the trend observed in evolution of biological species, thus providing a theoretical support for age-dependent speciation and associating it to the occurrence of a critical point.
},
  author       = {Keller-Schmidt, Stephanie and Tugrul, Murat and Eguíluz, Víctor and Hernandez Garcia, Emilio and Klemm, Konstantin},
  journal      = {Physical Review E Statistical Nonlinear and Soft Matter Physics},
  number       = {2},
  publisher    = {American Institute of Physics},
  title        = {{Anomalous scaling in an age-dependent branching model}},
  doi          = {10.1103/PhysRevE.91.022803},
  volume       = {91},
  year         = {2015},
}