@inbook{1596, abstract = {Let C={C1,...,Cn} denote a collection of translates of a regular convex k-gon in the plane with the stacking order. The collection C forms a visibility clique if for everyi < j the intersection Ci and (Ci ∩ Cj)\⋃i<l<jCl =∅.elements that are stacked between them, i.e., We show that if C forms a visibility clique its size is bounded from above by O(k4) thereby improving the upper bound of 22k from the aforementioned paper. We also obtain an upper bound of 22(k/2)+2 on the size of a visibility clique for homothetes of a convex (not necessarily regular) k-gon.}, author = {Fulek, Radoslav and Radoičić, Radoš}, booktitle = {Graph Drawing and Network Visualization}, isbn = {978-3-319-27260-3}, location = {Los Angeles, CA, United States}, pages = {373 -- 379}, publisher = {Springer Nature}, title = {{Vertical visibility among parallel polygons in three dimensions}}, doi = {10.1007/978-3-319-27261-0_31}, volume = {9411}, year = {2015}, } @article{1598, abstract = {We consider Markov decision processes (MDPs) with specifications given as Büchi (liveness) objectives, and examine the problem of computing the set of almost-sure winning vertices such that the objective can be ensured with probability 1 from these vertices. We study for the first time the average-case complexity of the classical algorithm for computing the set of almost-sure winning vertices for MDPs with Büchi objectives. Our contributions are as follows: First, we show that for MDPs with constant out-degree the expected number of iterations is at most logarithmic and the average-case running time is linear (as compared to the worst-case linear number of iterations and quadratic time complexity). Second, for the average-case analysis over all MDPs we show that the expected number of iterations is constant and the average-case running time is linear (again as compared to the worst-case linear number of iterations and quadratic time complexity). Finally we also show that when all MDPs are equally likely, the probability that the classical algorithm requires more than a constant number of iterations is exponentially small.}, author = {Chatterjee, Krishnendu and Joglekar, Manas and Shah, Nisarg}, journal = {Theoretical Computer Science}, number = {3}, pages = {71 -- 89}, publisher = {Elsevier}, title = {{Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives}}, doi = {10.1016/j.tcs.2015.01.050}, volume = {573}, year = {2015}, } @inproceedings{1601, abstract = {We propose a flexible exchange format for ω-automata, as typically used in formal verification, and implement support for it in a range of established tools. Our aim is to simplify the interaction of tools, helping the research community to build upon other people’s work. A key feature of the format is the use of very generic acceptance conditions, specified by Boolean combinations of acceptance primitives, rather than being limited to common cases such as Büchi, Streett, or Rabin. Such flexibility in the choice of acceptance conditions can be exploited in applications, for example in probabilistic model checking, and furthermore encourages the development of acceptance-agnostic tools for automata manipulations. The format allows acceptance conditions that are either state-based or transition-based, and also supports alternating automata.}, author = {Babiak, Tomáš and Blahoudek, František and Duret Lutz, Alexandre and Klein, Joachim and Kretinsky, Jan and Mueller, Daniel and Parker, David and Strejček, Jan}, location = {San Francisco, CA, United States}, pages = {479 -- 486}, publisher = {Springer}, title = {{The Hanoi omega-automata format}}, doi = {10.1007/978-3-319-21690-4_31}, volume = {9206}, year = {2015}, } @inproceedings{1603, abstract = {For deterministic systems, a counterexample to a property can simply be an error trace, whereas counterexamples in probabilistic systems are necessarily more complex. For instance, a set of erroneous traces with a sufficient cumulative probability mass can be used. Since these are too large objects to understand and manipulate, compact representations such as subchains have been considered. In the case of probabilistic systems with non-determinism, the situation is even more complex. While a subchain for a given strategy (or scheduler, resolving non-determinism) is a straightforward choice, we take a different approach. Instead, we focus on the strategy itself, and extract the most important decisions it makes, and present its succinct representation. The key tools we employ to achieve this are (1) introducing a concept of importance of a state w.r.t. the strategy, and (2) learning using decision trees. There are three main consequent advantages of our approach. Firstly, it exploits the quantitative information on states, stressing the more important decisions. Secondly, it leads to a greater variability and degree of freedom in representing the strategies. Thirdly, the representation uses a self-explanatory data structure. In summary, our approach produces more succinct and more explainable strategies, as opposed to e.g. binary decision diagrams. Finally, our experimental results show that we can extract several rules describing the strategy even for very large systems that do not fit in memory, and based on the rules explain the erroneous behaviour.}, author = {Brázdil, Tomáš and Chatterjee, Krishnendu and Chmelik, Martin and Fellner, Andreas and Kretinsky, Jan}, location = {San Francisco, CA, United States}, pages = {158 -- 177}, publisher = {Springer}, title = {{Counterexample explanation by learning small strategies in Markov decision processes}}, doi = {10.1007/978-3-319-21690-4_10}, volume = {9206}, year = {2015}, } @inproceedings{1605, abstract = {Multiaffine hybrid automata (MHA) represent a powerful formalism to model complex dynamical systems. This formalism is particularly suited for the representation of biological systems which often exhibit highly non-linear behavior. In this paper, we consider the problem of parameter identification for MHA. We present an abstraction of MHA based on linear hybrid automata, which can be analyzed by the SpaceEx model checker. This abstraction enables a precise handling of time-dependent properties. We demonstrate the potential of our approach on a model of a genetic regulatory network and a myocyte model.}, author = {Bogomolov, Sergiy and Schilling, Christian and Bartocci, Ezio and Batt, Grégory and Kong, Hui and Grosu, Radu}, location = {Haifa, Israel}, pages = {19 -- 35}, publisher = {Springer}, title = {{Abstraction-based parameter synthesis for multiaffine systems}}, doi = {10.1007/978-3-319-26287-1_2}, volume = {9434}, year = {2015}, } @inproceedings{1606, abstract = {In this paper, we present the first steps toward a runtime verification framework for monitoring hybrid and cyber-physical systems (CPS) development tools based on randomized differential testing. The development tools include hybrid systems reachability analysis tools, model-based development environments like Simulink/Stateflow (SLSF), etc. First, hybrid automaton models are randomly generated. Next, these hybrid automaton models are translated to a number of different tools (currently, SpaceEx, dReach, Flow*, HyCreate, and the MathWorks’ Simulink/Stateflow) using the HyST source transformation and translation tool. Then, the hybrid automaton models are executed in the different tools and their outputs are parsed. The final step is the differential comparison: the outputs of the different tools are compared. If the results do not agree (in the sense that an analysis or verification result from one tool does not match that of another tool, ignoring timeouts, etc.), a candidate bug is flagged and the model is saved for future analysis by the user. The process then repeats and the monitoring continues until the user terminates the process. We present preliminary results that have been useful in identifying a few bugs in the analysis methods of different development tools, and in an earlier version of HyST.}, author = {Nguyen, Luan and Schilling, Christian and Bogomolov, Sergiy and Johnson, Taylor}, booktitle = {6th International Conference}, isbn = {978-3-319-23819-7}, location = {Vienna, Austria}, pages = {281 -- 286}, publisher = {Springer Nature}, title = {{Runtime verification for hybrid analysis tools}}, doi = {10.1007/978-3-319-23820-3_19}, volume = {9333}, year = {2015}, } @inproceedings{1609, abstract = {The synthesis problem asks for the automatic construction of a system from its specification. In the traditional setting, the system is “constructed from scratch” rather than composed from reusable components. However, this is rare in practice, and almost every non-trivial software system relies heavily on the use of libraries of reusable components. Recently, Lustig and Vardi introduced dataflow and controlflow synthesis from libraries of reusable components. They proved that dataflow synthesis is undecidable, while controlflow synthesis is decidable. The problem of controlflow synthesis from libraries of probabilistic components was considered by Nain, Lustig and Vardi, and was shown to be decidable for qualitative analysis (that asks that the specification be satisfied with probability 1). Our main contribution for controlflow synthesis from probabilistic components is to establish better complexity bounds for the qualitative analysis problem, and to show that the more general quantitative problem is undecidable. For the qualitative analysis, we show that the problem (i) is EXPTIME-complete when the specification is given as a deterministic parity word automaton, improving the previously known 2EXPTIME upper bound; and (ii) belongs to UP ∩ coUP and is parity-games hard, when the specification is given directly as a parity condition on the components, improving the previously known EXPTIME upper bound.}, author = {Chatterjee, Krishnendu and Doyen, Laurent and Vardi, Moshe}, booktitle = {42nd International Colloquium}, isbn = {978-3-662-47665-9}, location = {Kyoto, Japan}, pages = {108 -- 120}, publisher = {Springer Nature}, title = {{The complexity of synthesis from probabilistic components}}, doi = {10.1007/978-3-662-47666-6_9}, volume = {9135}, year = {2015}, } @article{1611, abstract = {Biosensors for signaling molecules allow the study of physiological processes by bringing together the fields of protein engineering, fluorescence imaging, and cell biology. Construction of genetically encoded biosensors generally relies on the availability of a binding "core" that is both specific and stable, which can then be combined with fluorescent molecules to create a sensor. However, binding proteins with the desired properties are often not available in nature and substantial improvement to sensors can be required, particularly with regard to their durability. Ancestral protein reconstruction is a powerful protein-engineering tool able to generate highly stable and functional proteins. In this work, we sought to establish the utility of ancestral protein reconstruction to biosensor development, beginning with the construction of an l-arginine biosensor. l-arginine, as the immediate precursor to nitric oxide, is an important molecule in many physiological contexts including brain function. Using a combination of ancestral reconstruction and circular permutation, we constructed a Förster resonance energy transfer (FRET) biosensor for l-arginine (cpFLIPR). cpFLIPR displays high sensitivity and specificity, with a Kd of ∼14 μM and a maximal dynamic range of 35%. Importantly, cpFLIPR was highly robust, enabling accurate l-arginine measurement at physiological temperatures. We established that cpFLIPR is compatible with two-photon excitation fluorescence microscopy and report l-arginine concentrations in brain tissue.}, author = {Whitfield, Jason and Zhang, William and Herde, Michel and Clifton, Ben and Radziejewski, Johanna and Janovjak, Harald L and Henneberger, Christian and Jackson, Colin}, journal = {Protein Science}, number = {9}, pages = {1412 -- 1422}, publisher = {Wiley}, title = {{Construction of a robust and sensitive arginine biosensor through ancestral protein reconstruction}}, doi = {10.1002/pro.2721}, volume = {24}, year = {2015}, } @article{1614, abstract = {GABAergic perisoma-inhibiting fast-spiking interneurons (PIIs) effectively control the activity of large neuron populations by their wide axonal arborizations. It is generally assumed that the output of one PII to its target cells is strong and rapid. Here, we show that, unexpectedly, both strength and time course of PII-mediated perisomatic inhibition change with distance between synaptically connected partners in the rodent hippocampus. Synaptic signals become weaker due to lower contact numbers and decay more slowly with distance, very likely resulting from changes in GABAA receptor subunit composition. When distance-dependent synaptic inhibition is introduced to a rhythmically active neuronal network model, randomly driven principal cell assemblies are strongly synchronized by the PIIs, leading to higher precision in principal cell spike times than in a network with uniform synaptic inhibition. }, author = {Strüber, Michael and Jonas, Peter M and Bartos, Marlene}, journal = {PNAS}, number = {4}, pages = {1220 -- 1225}, publisher = {National Academy of Sciences}, title = {{Strength and duration of perisomatic GABAergic inhibition depend on distance between synaptically connected cells}}, doi = {10.1073/pnas.1412996112}, volume = {112}, year = {2015}, } @article{1615, abstract = {Loss-of-function mutations in the synaptic adhesion protein Neuroligin-4 are among the most common genetic abnormalities associated with autism spectrum disorders, but little is known about the function of Neuroligin-4 and the consequences of its loss. We assessed synaptic and network characteristics in Neuroligin-4 knockout mice, focusing on the hippocampus as a model brain region with a critical role in cognition and memory, and found that Neuroligin-4 deletion causes subtle defects of the protein composition and function of GABAergic synapses in the hippocampal CA3 region. Interestingly, these subtle synaptic changes are accompanied by pronounced perturbations of γ-oscillatory network activity, which has been implicated in cognitive function and is altered in multiple psychiatric and neurodevelopmental disorders. Our data provide important insights into the mechanisms by which Neuroligin-4-dependent GABAergic synapses may contribute to autism phenotypes and indicate new strategies for therapeutic approaches.}, author = {Hammer, Matthieu and Krueger Burg, Dilja and Tuffy, Liam and Cooper, Benjamin and Taschenberger, Holger and Goswami, Sarit and Ehrenreich, Hannelore and Jonas, Peter M and Varoqueaux, Frederique and Rhee, Jeong and Brose, Nils}, journal = {Cell Reports}, number = {3}, pages = {516 -- 523}, publisher = {Cell Press}, title = {{Perturbed hippocampal synaptic inhibition and γ-oscillations in a neuroligin-4 knockout mouse model of autism}}, doi = {10.1016/j.celrep.2015.09.011}, volume = {13}, year = {2015}, } @article{1618, abstract = {CCL19 and CCL21 are chemokines involved in the trafficking of immune cells, particularly within the lymphatic system, through activation of CCR7. Concurrent expression of PSGL-1 and CCR7 in naive T-cells enhances recruitment of these cells to secondary lymphoid organs by CCL19 and CCL21. Here the solution structure of CCL19 is reported. It contains a canonical chemokine domain. Chemical shift mapping shows the N-termini of PSGL-1 and CCR7 have overlapping binding sites for CCL19 and binding is competitive. Implications for the mechanism of PSGL-1's enhancement of resting T-cell recruitment are discussed.}, author = {Veldkamp, Christopher and Kiermaier, Eva and Gabel Eissens, Skylar and Gillitzer, Miranda and Lippner, David and Disilvio, Frank and Mueller, Casey and Wantuch, Paeton and Chaffee, Gary and Famiglietti, Michael and Zgoba, Danielle and Bailey, Asha and Bah, Yaya and Engebretson, Samantha and Graupner, David and Lackner, Emily and Larosa, Vincent and Medeiros, Tysha and Olson, Michael and Phillips, Andrew and Pyles, Harley and Richard, Amanda and Schoeller, Scott and Touzeau, Boris and Williams, Larry and Sixt, Michael K and Peterson, Francis}, journal = {Biochemistry}, number = {27}, pages = {4163 -- 4166}, publisher = {American Chemical Society}, title = {{Solution structure of CCL19 and identification of overlapping CCR7 and PSGL-1 binding sites}}, doi = {10.1021/acs.biochem.5b00560}, volume = {54}, year = {2015}, } @article{1623, abstract = {Background Photosynthetic cyanobacteria are attractive for a range of biotechnological applications including biofuel production. However, due to slow growth, screening of mutant libraries using microtiter plates is not feasible. Results We present a method for high-throughput, single-cell analysis and sorting of genetically engineered l-lactate-producing strains of Synechocystis sp. PCC6803. A microfluidic device is used to encapsulate single cells in picoliter droplets, assay the droplets for l-lactate production, and sort strains with high productivity. We demonstrate the separation of low- and high-producing reference strains, as well as enrichment of a more productive l-lactate-synthesizing population after UV-induced mutagenesis. The droplet platform also revealed population heterogeneity in photosynthetic growth and lactate production, as well as the presence of metabolically stalled cells. Conclusions The workflow will facilitate metabolic engineering and directed evolution studies and will be useful in studies of cyanobacteria biochemistry and physiology. }, author = {Hammar, Petter and Angermayr, Andreas and Sjostrom, Staffan and Van Der Meer, Josefin and Hellingwerf, Klaas and Hudson, Elton and Joensson, Hakaan}, journal = {Biotechnology for Biofuels}, number = {1}, publisher = {BioMed Central}, title = {{Single-cell screening of photosynthetic growth and lactate production by cyanobacteria}}, doi = {10.1186/s13068-015-0380-2}, volume = {8}, year = {2015}, } @article{1624, abstract = {Population structure can facilitate evolution of cooperation. In a structured population, cooperators can form clusters which resist exploitation by defectors. Recently, it was observed that a shift update rule is an extremely strong amplifier of cooperation in a one dimensional spatial model. For the shift update rule, an individual is chosen for reproduction proportional to fecundity; the offspring is placed next to the parent; a random individual dies. Subsequently, the population is rearranged (shifted) until all individual cells are again evenly spaced out. For large population size and a one dimensional population structure, the shift update rule favors cooperation for any benefit-to-cost ratio greater than one. But every attempt to generalize shift updating to higher dimensions while maintaining its strong effect has failed. The reason is that in two dimensions the clusters are fragmented by the movements caused by rearranging the cells. Here we introduce the natural phenomenon of a repulsive force between cells of different types. After a birth and death event, the cells are being rearranged minimizing the overall energy expenditure. If the repulsive force is sufficiently high, shift becomes a strong promoter of cooperation in two dimensions.}, author = {Pavlogiannis, Andreas and Chatterjee, Krishnendu and Adlam, Ben and Nowak, Martin}, journal = {Scientific Reports}, publisher = {Nature Publishing Group}, title = {{Cellular cooperation with shift updating and repulsion}}, doi = {10.1038/srep17147}, volume = {5}, year = {2015}, } @inproceedings{1625, abstract = {In recent years we have seen numerous improvements on 3D scanning and tracking of human faces, greatly advancing the creation of digital doubles for film and video games. However, despite the high-resolution quality of the reconstruction approaches available, current methods are unable to capture one of the most important regions of the face - the eye region. In this work we present the first method for detailed spatio-temporal reconstruction of eyelids. Tracking and reconstructing eyelids is extremely challenging, as this region exhibits very complex and unique skin deformation where skin is folded under while opening the eye. Furthermore, eyelids are often only partially visible and obstructed due to selfocclusion and eyelashes. Our approach is to combine a geometric deformation model with image data, leveraging multi-view stereo, optical flow, contour tracking and wrinkle detection from local skin appearance. Our deformation model serves as a prior that enables reconstruction of eyelids even under strong self-occlusions caused by rolling and folding skin as the eye opens and closes. The output is a person-specific, time-varying eyelid reconstruction with anatomically plausible deformations. Our high-resolution detailed eyelids couple naturally with current facial performance capture approaches. As a result, our method can largely increase the fidelity of facial capture and the creation of digital doubles.}, author = {Bermano, Amit and Beeler, Thabo and Kozlov, Yeara and Bradley, Derek and Bickel, Bernd and Gross, Markus}, location = {Los Angeles, CA, United States}, number = {4}, publisher = {ACM}, title = {{Detailed spatio-temporal reconstruction of eyelids}}, doi = {10.1145/2766924}, volume = {34}, year = {2015}, } @inproceedings{1626, abstract = {This paper introduces "OmniAD," a novel data-driven pipeline to model and acquire the aerodynamics of three-dimensional rigid objects. Traditionally, aerodynamics are examined through elaborate wind tunnel experiments or expensive fluid dynamics computations, and are only measured for a small number of discrete wind directions. OmniAD allows the evaluation of aerodynamic forces, such as drag and lift, for any incoming wind direction using a novel representation based on spherical harmonics. Our datadriven technique acquires the aerodynamic properties of an object simply by capturing its falling motion using a single camera. Once model parameters are estimated, OmniAD enables realistic realtime simulation of rigid bodies, such as the tumbling and gliding of leaves, without simulating the surrounding air. In addition, we propose an intuitive user interface based on OmniAD to interactively design three-dimensional kites that actually fly. Various nontraditional kites were designed to demonstrate the physical validity of our model.}, author = {Martin, Tobias and Umetani, Nobuyuki and Bickel, Bernd}, location = {Los Angeles, CA, United States}, number = {4}, publisher = {ACM}, title = {{OmniAD: Data-driven omni-directional aerodynamics}}, doi = {10.1145/2766919}, volume = {34}, year = {2015}, } @inproceedings{1627, abstract = {We present a computational tool for fabrication-oriented design of flexible rod meshes. Given a deformable surface and a set of deformed poses as input, our method automatically computes a printable rod mesh that, once manufactured, closely matches the input poses under the same boundary conditions. The core of our method is formed by an optimization scheme that adjusts the cross-sectional profiles of the rods and their rest centerline in order to best approximate the target deformations. This approach allows us to locally control the bending and stretching resistance of the surface with a single material, yielding high design flexibility and low fabrication cost.}, author = {Pérez, Jesús and Thomaszewski, Bernhard and Coros, Stelian and Bickel, Bernd and Canabal, José and Sumner, Robert and Otaduy, Miguel}, location = {Los Angeles, CA, United States}, number = {4}, publisher = {ACM}, title = {{Design and fabrication of flexible rod meshes}}, doi = {10.1145/2766998}, volume = {34}, year = {2015}, } @inproceedings{1630, abstract = {We present a method to learn and propagate shape placements in 2D polygonal scenes from a few examples provided by a user. The placement of a shape is modeled as an oriented bounding box. Simple geometric relationships between this bounding box and nearby scene polygons define a feature set for the placement. The feature sets of all example placements are then used to learn a probabilistic model over all possible placements and scenes. With this model, we can generate a new set of placements with similar geometric relationships in any given scene. We introduce extensions that enable propagation and generation of shapes in 3D scenes, as well as the application of a learned modeling session to large scenes without additional user interaction. These concepts allow us to generate complex scenes with thousands of objects with relatively little user interaction.}, author = {Guerrero, Paul and Jeschke, Stefan and Wimmer, Michael and Wonka, Peter}, location = {Los Angeles, CA, United States}, number = {4}, publisher = {ACM}, title = {{Learning shape placements by example}}, doi = {10.1145/2766933}, volume = {34}, year = {2015}, } @inproceedings{1632, abstract = {This paper presents a liquid simulation technique that enforces the incompressibility condition using a stream function solve instead of a pressure projection. Previous methods have used stream function techniques for the simulation of detailed single-phase flows, but a formulation for liquid simulation has proved elusive in part due to the free surface boundary conditions. In this paper, we introduce a stream function approach to liquid simulations with novel boundary conditions for free surfaces, solid obstacles, and solid-fluid coupling. Although our approach increases the dimension of the linear system necessary to enforce incompressibility, it provides interesting and surprising benefits. First, the resulting flow is guaranteed to be divergence-free regardless of the accuracy of the solve. Second, our free-surface boundary conditions guarantee divergence-free motion even in the un-simulated air phase, which enables two-phase flow simulation by only computing a single phase. We implemented this method using a variant of FLIP simulation which only samples particles within a narrow band of the liquid surface, and we illustrate the effectiveness of our method for detailed two-phase flow simulations with complex boundaries, detailed bubble interactions, and two-way solid-fluid coupling.}, author = {Ando, Ryoichi and Thuerey, Nils and Wojtan, Christopher J}, location = {Los Angeles, CA, USA}, number = {4}, publisher = {ACM}, title = {{A stream function solver for liquid simulations}}, doi = {10.1145/2766935}, volume = {34}, year = {2015}, } @inproceedings{1634, abstract = {Simulating the delightful dynamics of soap films, bubbles, and foams has traditionally required the use of a fully three-dimensional many-phase Navier-Stokes solver, even though their visual appearance is completely dominated by the thin liquid surface. We depart from earlier work on soap bubbles and foams by noting that their dynamics are naturally described by a Lagrangian vortex sheet model in which circulation is the primary variable. This leads us to derive a novel circulation-preserving surface-only discretization of foam dynamics driven by surface tension on a non-manifold triangle mesh. We represent the surface using a mesh-based multimaterial surface tracker which supports complex bubble topology changes, and evolve the surface according to the ambient air flow induced by a scalar circulation field stored on the mesh. Surface tension forces give rise to a simple update rule for circulation, even at non-manifold Plateau borders, based on a discrete measure of signed scalar mean curvature. We further incorporate vertex constraints to enable the interaction of soap films with wires. The result is a method that is at once simple, robust, and efficient, yet able to capture an array of soap films behaviors including foam rearrangement, catenoid collapse, blowing bubbles, and double bubbles being pulled apart.}, author = {Da, Fang and Batty, Christopher and Wojtan, Christopher J and Grinspun, Eitan}, location = {Los Angeles, CA, United States}, number = {4}, publisher = {ACM}, title = {{Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams}}, doi = {10.1145/2767003}, volume = {34}, year = {2015}, } @article{1635, abstract = {We calculate a Ricci curvature lower bound for some classical examples of random walks, namely, a chain on a slice of the n-dimensional discrete cube (the so-called Bernoulli-Laplace model) and the random transposition shuffle of the symmetric group of permutations on n letters.}, author = {Erbar, Matthias and Maas, Jan and Tetali, Prasad}, journal = {Annales de la faculté des sciences de Toulouse}, number = {4}, pages = {781 -- 800}, publisher = {Faculté des sciences de Toulouse}, title = {{Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models}}, doi = {10.5802/afst.1464}, volume = {24}, year = {2015}, }