@article{12190, abstract = {Meiotic crossover frequency varies within genomes, which influences genetic diversity and adaptation. In turn, genetic variation within populations can act to modify crossover frequency in cis and trans. To identify genetic variation that controls meiotic crossover frequency, we screened Arabidopsis accessions using fluorescent recombination reporters. We mapped a genetic modifier of crossover frequency in Col × Bur populations of Arabidopsis to a premature stop codon within TBP-ASSOCIATED FACTOR 4b (TAF4b), which encodes a subunit of the RNA polymerase II general transcription factor TFIID. The Arabidopsis taf4b mutation is a rare variant found in the British Isles, originating in South-West Ireland. Using genetics, genomics, and immunocytology, we demonstrate a genome-wide decrease in taf4b crossovers, with strongest reduction in the sub-telomeric regions. Using RNA sequencing (RNA-seq) from purified meiocytes, we show that TAF4b expression is meiocyte enriched, whereas its paralog TAF4 is broadly expressed. Consistent with the role of TFIID in promoting gene expression, RNA-seq of wild-type and taf4b meiocytes identified widespread transcriptional changes, including in genes that regulate the meiotic cell cycle and recombination. Therefore, TAF4b duplication is associated with acquisition of meiocyte-specific expression and promotion of germline transcription, which act directly or indirectly to elevate crossovers. This identifies a novel mode of meiotic recombination control via a general transcription factor.}, author = {Lawrence, Emma J. and Gao, Hongbo and Tock, Andrew J. and Lambing, Christophe and Blackwell, Alexander R. and Feng, Xiaoqi and Henderson, Ian R.}, issn = {0960-9822}, journal = {Current Biology}, keywords = {General Agricultural and Biological Sciences, General Biochemistry, Genetics and Molecular Biology}, number = {16}, pages = {2676--2686.e3}, publisher = {Elsevier BV}, title = {{Natural variation in TBP-ASSOCIATED FACTOR 4b controls meiotic crossover and germline transcription in Arabidopsis}}, doi = {10.1016/j.cub.2019.06.084}, volume = {29}, year = {2019}, } @article{12192, abstract = {Transposable elements (TEs), the movement of which can damage the genome, are epigenetically silenced in eukaryotes. Intriguingly, TEs are activated in the sperm companion cell – vegetative cell (VC) – of the flowering plant Arabidopsis thaliana. However, the extent and mechanism of this activation are unknown. Here we show that about 100 heterochromatic TEs are activated in VCs, mostly by DEMETER-catalyzed DNA demethylation. We further demonstrate that DEMETER access to some of these TEs is permitted by the natural depletion of linker histone H1 in VCs. Ectopically expressed H1 suppresses TEs in VCs by reducing DNA demethylation and via a methylation-independent mechanism. We demonstrate that H1 is required for heterochromatin condensation in plant cells and show that H1 overexpression creates heterochromatic foci in the VC progenitor cell. Taken together, our results demonstrate that the natural depletion of H1 during male gametogenesis facilitates DEMETER-directed DNA demethylation, heterochromatin relaxation, and TE activation.}, author = {He, Shengbo and Vickers, Martin and Zhang, Jingyi and Feng, Xiaoqi}, issn = {2050-084X}, journal = {eLife}, keywords = {General Immunology and Microbiology, General Biochemistry, Genetics and Molecular Biology, General Medicine, General Neuroscience}, publisher = {eLife Sciences Publications, Ltd}, title = {{Natural depletion of histone H1 in sex cells causes DNA demethylation, heterochromatin decondensation and transposon activation}}, doi = {10.7554/elife.42530}, volume = {8}, year = {2019}, } @inproceedings{12901, author = {Schlögl, Alois and Kiss, Janos and Elefante, Stefano}, booktitle = {AHPC19 - Austrian HPC Meeting 2019 }, location = {Grundlsee, Austria}, pages = {25}, publisher = {Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz}, title = {{Is Debian suitable for running an HPC Cluster?}}, year = {2019}, } @misc{13067, abstract = {Genetic incompatibilities contribute to reproductive isolation between many diverging populations, but it is still unclear to what extent they play a role if divergence happens with gene flow. In contact zones between the "Crab" and "Wave" ecotypes of the snail Littorina saxatilis divergent selection forms strong barriers to gene flow, while the role of postzygotic barriers due to selection against hybrids remains unclear. High embryo abortion rates in this species could indicate the presence of such barriers. Postzygotic barriers might include genetic incompatibilities (e.g. Dobzhansky-Muller incompatibilities) but also maladaptation, both expected to be most pronounced in contact zones. In addition, embryo abortion might reflect physiological stress on females and embryos independent of any genetic stress. We examined all embryos of >500 females sampled outside and inside contact zones of three populations in Sweden. Females' clutch size ranged from 0 to 1011 embryos (mean 130±123) and abortion rates varied between 0 and100% (mean 12%). We described female genotypes by using a hybrid index based on hundreds of SNPs differentiated between ecotypes with which we characterised female genotypes. We also calculated female SNP heterozygosity and inversion karyotype. Clutch size did not vary with female hybrid index and abortion rates were only weakly related to hybrid index in two sites but not at all in a third site. No additional variation in abortion rate was explained by female SNP heterozygosity, but increased female inversion heterozygosity added slightly to increased abortion. Our results show only weak and probably biologically insignificant postzygotic barriers contributing to ecotype divergence and the high and variable abortion rates were marginally, if at all, explained by hybrid index of females.}, author = {Johannesson, Kerstin and Zagrodzka, Zuzanna and Faria, Rui and Westram, Anja M and Butlin, Roger}, publisher = {Dryad}, title = {{Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes?}}, doi = {10.5061/DRYAD.TB2RBNZWK}, year = {2019}, } @inbook{8281, abstract = {We review the history of population genetics, starting with its origins a century ago from the synthesis between Mendel and Darwin's ideas, through to the recent development of sophisticated schemes of inference from sequence data, based on the coalescent. We explain the close relation between the coalescent and a diffusion process, which we illustrate by their application to understand spatial structure. We summarise the powerful methods available for analysis of multiple loci, when linkage equilibrium can be assumed, and then discuss approaches to the more challenging case, where associations between alleles require that we follow genotype, rather than allele, frequencies. Though we can hardly cover the whole of population genetics, we give an overview of the current state of the subject, and future challenges to it.}, author = {Barton, Nicholas H and Etheridge, Alison}, booktitle = {Handbook of statistical genomics}, editor = {Balding, David and Moltke, Ida and Marioni, John}, isbn = {9781119429142}, pages = {115--144}, publisher = {Wiley}, title = {{Mathematical models in population genetics}}, doi = {10.1002/9781119487845.ch4}, year = {2019}, } @inproceedings{8570, abstract = {This report presents the results of a friendly competition for formal verification of continuous and hybrid systems with linear continuous dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2019. In its third edition, seven tools have been applied to solve six different benchmark problems in the category for linear continuous dynamics (in alphabetical order): CORA, CORA/SX, HyDRA, Hylaa, JuliaReach, SpaceEx, and XSpeed. This report is a snapshot of the current landscape of tools and the types of benchmarks they are particularly suited for. Due to the diversity of problems, we are not ranking tools, yet the presented results provide one of the most complete assessments of tools for the safety verification of continuous and hybrid systems with linear continuous dynamics up to this date.}, author = {Althoff, Matthias and Bak, Stanley and Forets, Marcelo and Frehse, Goran and Kochdumper, Niklas and Ray, Rajarshi and Schilling, Christian and Schupp, Stefan}, booktitle = {EPiC Series in Computing}, issn = {23987340}, location = {Montreal, Canada}, pages = {14--40}, publisher = {EasyChair}, title = {{ARCH-COMP19 Category Report: Continuous and hybrid systems with linear continuous dynamics}}, doi = {10.29007/bj1w}, volume = {61}, year = {2019}, } @inproceedings{9261, abstract = {Bending-active structures are able to efficiently produce complex curved shapes starting from flat panels. The desired deformation of the panels derives from the proper selection of their elastic properties. Optimized panels, called FlexMaps, are designed such that, once they are bent and assembled, the resulting static equilibrium configuration matches a desired input 3D shape. The FlexMaps elastic properties are controlled by locally varying spiraling geometric mesostructures, which are optimized in size and shape to match the global curvature (i.e., bending requests) of the target shape. The design pipeline starts from a quad mesh representing the input 3D shape, which defines the edge size and the total amount of spirals: every quad will embed one spiral. Then, an optimization algorithm tunes the geometry of the spirals by using a simplified pre-computed rod model. This rod model is derived from a non-linear regression algorithm which approximates the non-linear behavior of solid FEM spiral models subject to hundreds of load combinations. This innovative pipeline has been applied to the project of a lightweight plywood pavilion named FlexMaps Pavilion, which is a single-layer piecewise twisted arc that fits a bounding box of 3.90x3.96x3.25 meters.}, author = {Laccone, Francesco and Malomo, Luigi and Perez Rodriguez, Jesus and Pietroni, Nico and Ponchio, Federico and Bickel, Bernd and Cignoni, Paolo}, booktitle = {IASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE}, isbn = {9788412110104}, issn = {2518-6582}, location = {Barcelona, Spain}, pages = {509--515}, publisher = {International Center for Numerical Methods in Engineering}, title = {{FlexMaps Pavilion: A twisted arc made of mesostructured flat flexible panels}}, year = {2019}, } @article{6919, author = {Qi, Chao and Minin, Giulio Di and Vercellino, Irene and Wutz, Anton and Korkhov, Volodymyr M.}, issn = {23752548}, journal = {Science Advances}, number = {9}, publisher = {American Association for the Advancement of Science}, title = {{Structural basis of sterol recognition by human hedgehog receptor PTCH1}}, doi = {10.1126/sciadv.aaw6490}, volume = {5}, year = {2019}, } @article{6920, author = {Artner, Christina and Benková, Eva}, issn = {1674-2052}, journal = {Molecular Plant}, number = {10}, pages = {1312--1314}, publisher = {Cell Press}, title = {{Ethylene and cytokinin - partners in root growth regulation}}, doi = {10.1016/j.molp.2019.09.003}, volume = {12}, year = {2019}, } @inproceedings{6931, abstract = {Consider a distributed system with n processors out of which f can be Byzantine faulty. In the approximate agreement task, each processor i receives an input value xi and has to decide on an output value yi such that 1. the output values are in the convex hull of the non-faulty processors’ input values, 2. the output values are within distance d of each other. Classically, the values are assumed to be from an m-dimensional Euclidean space, where m ≥ 1. In this work, we study the task in a discrete setting, where input values with some structure expressible as a graph. Namely, the input values are vertices of a finite graph G and the goal is to output vertices that are within distance d of each other in G, but still remain in the graph-induced convex hull of the input values. For d = 0, the task reduces to consensus and cannot be solved with a deterministic algorithm in an asynchronous system even with a single crash fault. For any d ≥ 1, we show that the task is solvable in asynchronous systems when G is chordal and n > (ω + 1)f, where ω is the clique number of G. In addition, we give the first Byzantine-tolerant algorithm for a variant of lattice agreement. For synchronous systems, we show tight resilience bounds for the exact variants of these and related tasks over a large class of combinatorial structures.}, author = {Nowak, Thomas and Rybicki, Joel}, booktitle = {33rd International Symposium on Distributed Computing}, keywords = {consensus, approximate agreement, Byzantine faults, chordal graphs, lattice agreement}, location = {Budapest, Hungary}, pages = {29:1----29:17}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Byzantine approximate agreement on graphs}}, doi = {10.4230/LIPICS.DISC.2019.29}, volume = {146}, year = {2019}, } @inproceedings{6933, abstract = {We design fast deterministic algorithms for distance computation in the CONGESTED CLIQUE model. Our key contributions include: - A (2+ε)-approximation for all-pairs shortest paths problem in O(log²n / ε) rounds on unweighted undirected graphs. With a small additional additive factor, this also applies for weighted graphs. This is the first sub-polynomial constant-factor approximation for APSP in this model. - A (1+ε)-approximation for multi-source shortest paths problem from O(√n) sources in O(log² n / ε) rounds on weighted undirected graphs. This is the first sub-polynomial algorithm obtaining this approximation for a set of sources of polynomial size. Our main techniques are new distance tools that are obtained via improved algorithms for sparse matrix multiplication, which we leverage to construct efficient hopsets and shortest paths. Furthermore, our techniques extend to additional distance problems for which we improve upon the state-of-the-art, including diameter approximation, and an exact single-source shortest paths algorithm for weighted undirected graphs in Õ(n^{1/6}) rounds.}, author = {Censor-Hillel, Keren and Dory, Michal and Korhonen, Janne and Leitersdorf, Dean}, booktitle = {Proceedings of the 2019 ACM Symposium on Principles of Distributed Computin}, isbn = {9781450362177}, location = {Toronto, ON, Canada}, pages = {74--83}, publisher = {ACM}, title = {{Fast approximate shortest paths in the congested clique}}, doi = {10.1145/3293611.3331633}, year = {2019}, } @inproceedings{6935, abstract = {This paper investigates the power of preprocessing in the CONGEST model. Schmid and Suomela (ACM HotSDN 2013) introduced the SUPPORTED CONGEST model to study the application of distributed algorithms in Software-Defined Networks (SDNs). In this paper, we show that a large class of lower bounds in the CONGEST model still hold in the SUPPORTED model, highlighting the robustness of these bounds. This also raises the question how much does preprocessing help in the CONGEST model.}, author = {Foerster, Klaus-Tycho and Korhonen, Janne and Rybicki, Joel and Schmid, Stefan}, booktitle = {Proceedings of the 2019 ACM Symposium on Principles of Distributed Computing}, isbn = {9781450362177}, location = {Toronto, ON, Canada}, pages = {259--261}, publisher = {ACM}, title = {{Does preprocessing help under congestion?}}, doi = {10.1145/3293611.3331581}, year = {2019}, } @article{6936, abstract = {A key challenge for community ecology is to understand to what extent observational data can be used to infer the underlying community assembly processes. As different processes can lead to similar or even identical patterns, statistical analyses of non‐manipulative observational data never yield undisputable causal inference on the underlying processes. Still, most empirical studies in community ecology are based on observational data, and hence understanding under which circumstances such data can shed light on assembly processes is a central concern for community ecologists. We simulated a spatial agent‐based model that generates variation in metacommunity dynamics across multiple axes, including the four classic metacommunity paradigms as special cases. We further simulated a virtual ecologist who analysed snapshot data sampled from the simulations using eighteen output metrics derived from beta‐diversity and habitat variation indices, variation partitioning and joint species distribution modelling. Our results indicated two main axes of variation in the output metrics. The first axis of variation described whether the landscape has patchy or continuous variation, and thus was essentially independent of the properties of the species community. The second axis of variation related to the level of predictability of the metacommunity. The most predictable communities were niche‐based metacommunities inhabiting static landscapes with marked environmental heterogeneity, such as metacommunities following the species sorting paradigm or the mass effects paradigm. The most unpredictable communities were neutral‐based metacommunities inhabiting dynamics landscapes with little spatial heterogeneity, such as metacommunities following the neutral or patch sorting paradigms. The output metrics from joint species distribution modelling yielded generally the highest resolution to disentangle among the simulated scenarios. Yet, the different types of statistical approaches utilized in this study carried complementary information, and thus our results suggest that the most comprehensive evaluation of metacommunity structure can be obtained by combining them. }, author = {Ovaskainen, Otso and Rybicki, Joel and Abrego, Nerea}, issn = {1600-0587}, journal = {Ecography}, number = {11}, pages = {1877--1886}, publisher = {Wiley}, title = {{What can observational data reveal about metacommunity processes?}}, doi = {10.1111/ecog.04444}, volume = {42}, year = {2019}, } @article{6940, abstract = {We study the effect of a linear tunneling coupling between two-dimensional systems, each separately exhibiting the topological Berezinskii-Kosterlitz-Thouless (BKT) transition. In the uncoupled limit, there are two phases: one where the one-body correlation functions are algebraically decaying and the other with exponential decay. When the linear coupling is turned on, a third BKT-paired phase emerges, in which one-body correlations are exponentially decaying, while two-body correlation functions exhibit power-law decay. We perform numerical simulations in the paradigmatic case of two coupled XY models at finite temperature, finding evidences that for any finite value of the interlayer coupling, the BKT-paired phase is present. We provide a picture of the phase diagram using a renormalization group approach.}, author = {Bighin, Giacomo and Defenu, Nicolò and Nándori, István and Salasnich, Luca and Trombettoni, Andrea}, issn = {1079-7114}, journal = {Physical Review Letters}, number = {10}, publisher = {American Physical Society}, title = {{Berezinskii-Kosterlitz-Thouless paired phase in coupled XY models}}, doi = {10.1103/physrevlett.123.100601}, volume = {123}, year = {2019}, } @inproceedings{6942, abstract = {Graph games and Markov decision processes (MDPs) are standard models in reactive synthesis and verification of probabilistic systems with nondeterminism. The class of 𝜔 -regular winning conditions; e.g., safety, reachability, liveness, parity conditions; provides a robust and expressive specification formalism for properties that arise in analysis of reactive systems. The resolutions of nondeterminism in games and MDPs are represented as strategies, and we consider succinct representation of such strategies. The decision-tree data structure from machine learning retains the flavor of decisions of strategies and allows entropy-based minimization to obtain succinct trees. However, in contrast to traditional machine-learning problems where small errors are allowed, for winning strategies in graph games and MDPs no error is allowed, and the decision tree must represent the entire strategy. In this work we propose decision trees with linear classifiers for representation of strategies in graph games and MDPs. We have implemented strategy representation using this data structure and we present experimental results for problems on graph games and MDPs, which show that this new data structure presents a much more efficient strategy representation as compared to standard decision trees.}, author = {Ashok, Pranav and Brázdil, Tomáš and Chatterjee, Krishnendu and Křetínský, Jan and Lampert, Christoph and Toman, Viktor}, booktitle = {16th International Conference on Quantitative Evaluation of Systems}, isbn = {9783030302801}, issn = {0302-9743}, location = {Glasgow, United Kingdom}, pages = {109--128}, publisher = {Springer Nature}, title = {{Strategy representation by decision trees with linear classifiers}}, doi = {10.1007/978-3-030-30281-8_7}, volume = {11785}, year = {2019}, } @article{6943, abstract = {Plants as sessile organisms are constantly under attack by herbivores, rough environmental situations, or mechanical pressure. These challenges often lead to the induction of wounds or destruction of already specified and developed tissues. Additionally, wounding makes plants vulnerable to invasion by pathogens, which is why wound signalling often triggers specific defence responses. To stay competitive or, eventually, survive under these circumstances, plants need to regenerate efficiently, which in rigid, tissue migration-incompatible plant tissues requires post-embryonic patterning and organogenesis. Now, several studies used laser-assisted single cell ablation in the Arabidopsis root tip as a minimal wounding proxy. Here, we discuss their findings and put them into context of a broader spectrum of wound signalling, pathogen responses and tissue as well as organ regeneration.}, author = {Hörmayer, Lukas and Friml, Jiří}, issn = {1369-5266}, journal = {Current Opinion in Plant Biology}, pages = {124--130}, publisher = {Elsevier}, title = {{Targeted cell ablation-based insights into wound healing and restorative patterning}}, doi = {10.1016/j.pbi.2019.08.006}, volume = {52}, year = {2019}, } @phdthesis{6947, abstract = {Lymph nodes are es s ential organs of the immune s ys tem where adaptive immune responses originate, and consist of various leukocyte populations and a stromal backbone. Fibroblastic reticular cells (FRCs) are the main stromal cells and form a sponge-like extracellular matrix network, called conduits , which they thems elves enwrap and contract. Lymph, containing s oluble antigens , arrive in lymph nodes via afferent lymphatic vessels that connect to the s ubcaps ular s inus and conduit network. According to the current paradigm, the conduit network dis tributes afferent lymph through lymph nodes and thus provides acces s for immune cells to lymph-borne antigens. An elas tic caps ule s urrounds the organ and confines the immune cells and FRC network. Lymph nodes are completely packed with lymphocytes and lymphocyte numbers directly dictates the size of the organ. Although lymphocytes cons tantly enter and leave the lymph node, its s ize remains remarkedly s table under homeostatic conditions. It is only partly known how the cellularity and s ize of the lymph node is regulated and how the lymph node is able to swell in inflammation. The role of the FRC network in lymph node s welling and trans fer of fluids are inves tigated in this thes is. Furthermore, we s tudied what trafficking routes are us ed by cancer cells in lymph nodes to form distal metastases.We examined the role of a mechanical feedback in regulation of lymph node swelling. Using parallel plate compression and UV-las er cutting experiments we dis s ected the mechanical force dynamics of the whole lymph node, and individually for FRCs and the caps ule. Physical forces generated by packed lymphocytes directly affect the tens ion on the FRC network and capsule, which increases its resistance to swelling. This implies a feedback mechanism between tis s ue pres s ure and ability of lymphocytes to enter the organ. Following inflammation, the lymph node swells ∼10 fold in two weeks . Yet, what is the role for tens ion on the FRC network and caps ule, and how are lymphocytes able to enter in conditions that resist swelling remain open ques tions . We s how that tens ion on the FRC network is important to limit the swelling rate of the organ so that the FRC network can grow in a coordinated fashion. This is illustrated by interfering with FRC contractility, which leads to faster swelling rates and a dis organized FRC network in the inflamed lymph node. Growth of the FRC network in turn is expected to releas e tens ion on thes e s tructures and lowers the res is tance to swelling, thereby allowing more lymphocytes to enter the organ and drive more swelling. Halt of swelling coincides with a thickening of the caps ule, which forms a thick res is tant band around the organ and lowers tens ion on the FRC network to form a new force equilibrium.The FRC and conduit network are further believed to be a privileged s ite of s oluble information within the lymph node, although many details remain uns olved. We s how by 3D ultra-recons truction that FRCs and antigen pres enting cells cover the s urface of conduit s ys tem for more than 99% and we dis cus s the implications for s oluble information exchangeat the conduit level.Finally, there is an ongoing debate in the cancer field whether and how cancer cells in lymph nodes s eed dis tal metas tas es . We s how that cancer cells infus ed into the lymph node can utilize trafficking routes of immune cells and rapidly migrate to blood vessels. Once in the blood circulation, these cells are able to form metastases in distal tissues.}, author = {Assen, Frank P}, issn = {2663-337X}, pages = {142}, publisher = {Institute of Science and Technology Austria}, title = {{Lymph node mechanics: Deciphering the interplay between stroma contractility, morphology and lymphocyte trafficking}}, doi = {10.15479/AT:ISTA:6947}, year = {2019}, } @article{6955, abstract = {We study few-body bound states of charged particles subject to attractive zero-range/short-range plus repulsive Coulomb interparticle forces. The characteristic length scales of the system at zero energy are set by the Coulomb length scale D and the Coulomb-modified effective range r eff. We study shallow bound states of charged particles with D >> r eff and show that these systems obey universal scaling laws different from neutral particles. An accurate description of these states requires both the Coulomb-modified scattering length and the effective range unless the Coulomb interaction is very weak (D -> ). Our findings are relevant for bound states whose spatial extent is significantly larger than the range of the attractive potential. These states enjoy universality – their character is independent of the shape of the short-range potential.}, author = {Schmickler, C.H. and Hammer, H.-W. and Volosniev, Artem}, issn = {0370-2693}, journal = {Physics Letters B}, publisher = {Elsevier}, title = {{Universal physics of bound states of a few charged particles}}, doi = {10.1016/j.physletb.2019.135016}, volume = {798}, year = {2019}, } @phdthesis{6957, abstract = {In many shear flows like pipe flow, plane Couette flow, plane Poiseuille flow, etc. turbulence emerges subcritically. Here, when subjected to strong enough perturbations, the flow becomes turbulent in spite of the laminar base flow being linearly stable. The nature of this instability has puzzled the scientific community for decades. At onset, turbulence appears in localized patches and flows are spatio-temporally intermittent. In pipe flow the localized turbulent structures are referred to as puffs and in planar flows like plane Couette and channel flow, patches arise in the form of localized oblique bands. In this thesis, we study the onset of turbulence in channel flow in direct numerical simulations from a dynamical system theory perspective, as well as by performing experiments in a large aspect ratio channel. The aim of the experimental work is to determine the critical Reynolds number where turbulence first becomes sustained. Recently, the onset of turbulence has been described in analogy to absorbing state phase transition (i.e. directed percolation). In particular, it has been shown that the critical point can be estimated from the competition between spreading and decay processes. Here, by performing experiments, we identify the mechanisms underlying turbulence proliferation in channel flow and find the critical Reynolds number, above which turbulence becomes sustained. Above the critical point, the continuous growth at the tip of the stripes outweighs the stochastic shedding of turbulent patches at the tail and the stripes expand. For growing stripes, the probability to decay decreases while the probability of stripe splitting increases. Consequently, and unlike for the puffs in pipe flow, neither of these two processes is time-independent i.e. memoryless. Coupling between stripe expansion and creation of new stripes via splitting leads to a significantly lower critical point ($Re_c=670+/-10$) than most earlier studies suggest. While the above approach sheds light on how turbulence first becomes sustained, it provides no insight into the origin of the stripes themselves. In the numerical part of the thesis we investigate how turbulent stripes form from invariant solutions of the Navier-Stokes equations. The origin of these turbulent stripes can be identified by applying concepts from the dynamical system theory. In doing so, we identify the exact coherent structures underlying stripes and their bifurcations and how they give rise to the turbulent attractor in phase space. We first report a family of localized nonlinear traveling wave solutions of the Navier-Stokes equations in channel flow. These solutions show structural similarities with turbulent stripes in experiments like obliqueness, quasi-streamwise streaks and vortices, etc. A parametric study of these traveling wave solution is performed, with parameters like Reynolds number, stripe tilt angle and domain size, including the stability of the solutions. These solutions emerge through saddle-node bifurcations and form a phase space skeleton for the turbulent stripes observed in the experiments. The lower branches of these TW solutions at different tilt angles undergo Hopf bifurcation and new solutions branches of relative periodic orbits emerge. These RPO solutions do not belong to the same family and therefore the routes to chaos for different angles are different. In shear flows, turbulence at onset is transient in nature. Consequently,turbulence can not be tracked to lower Reynolds numbers, where the dynamics may simplify. Before this happens, turbulence becomes short-lived and laminarizes. In the last part of the thesis, we show that using numerical simulations we can continue turbulent stripes in channel flow past the 'relaminarization barrier' all the way to their origin. Here, turbulent stripe dynamics simplifies and the fluctuations are no longer stochastic and the stripe settles down to a relative periodic orbit. This relative periodic orbit originates from the aforementioned traveling wave solutions. Starting from the relative periodic orbit, a small increase in speed i.e. Reynolds number gives rise to chaos and the attractor dimension sharply increases in contrast to the classical transition scenario where the instabilities affect the flow globally and give rise to much more gradual route to turbulence.}, author = {Paranjape, Chaitanya S}, issn = {2663-337X}, keywords = {Instabilities, Turbulence, Nonlinear dynamics}, pages = {138}, publisher = {Institute of Science and Technology Austria}, title = {{Onset of turbulence in plane Poiseuille flow}}, doi = {10.15479/AT:ISTA:6957}, year = {2019}, } @article{6972, abstract = {We give fault-tolerant algorithms for establishing synchrony in distributed systems in which each of thennodes has its own clock. Our algorithms operate in a very strong fault model: we require self-stabilisation, i.e.,the initial state of the system may be arbitrary, and there can be up to f