@article{1242, abstract = {A crucial step in the regulation of gene expression is binding of transcription factor (TF) proteins to regulatory sites along the DNA. But transcription factors act at nanomolar concentrations, and noise due to random arrival of these molecules at their binding sites can severely limit the precision of regulation. Recent work on the optimization of information flow through regulatory networks indicates that the lower end of the dynamic range of concentrations is simply inaccessible, overwhelmed by the impact of this noise. Motivated by the behavior of homeodomain proteins, such as the maternal morphogen Bicoid in the fruit fly embryo, we suggest a scheme in which transcription factors also act as indirect translational regulators, binding to the mRNA of other regulatory proteins. Intuitively, each mRNA molecule acts as an independent sensor of the input concentration, and averaging over these multiple sensors reduces the noise. We analyze information flow through this scheme and identify conditions under which it outperforms direct transcriptional regulation. Our results suggest that the dual role of homeodomain proteins is not just a historical accident, but a solution to a crucial physics problem in the regulation of gene expression.}, author = {Sokolowski, Thomas R and Walczak, Aleksandra and Bialek, William and Tkacik, Gasper}, journal = {Physical Review E Statistical Nonlinear and Soft Matter Physics}, number = {2}, publisher = {American Institute of Physics}, title = {{Extending the dynamic range of transcription factor action by translational regulation}}, doi = {10.1103/PhysRevE.93.022404}, volume = {93}, year = {2016}, } @article{1243, abstract = {Restriction-modification (RM) systems represent a minimal and ubiquitous biological system of self/non-self discrimination in prokaryotes [1], which protects hosts from exogenous DNA [2]. The mechanism is based on the balance between methyltransferase (M) and cognate restriction endonuclease (R). M tags endogenous DNA as self by methylating short specific DNA sequences called restriction sites, whereas R recognizes unmethylated restriction sites as non-self and introduces a double-stranded DNA break [3]. Restriction sites are significantly underrepresented in prokaryotic genomes [4-7], suggesting that the discrimination mechanism is imperfect and occasionally leads to autoimmunity due to self-DNA cleavage (self-restriction) [8]. Furthermore, RM systems can promote DNA recombination [9] and contribute to genetic variation in microbial populations, thus facilitating adaptive evolution [10]. However, cleavage of self-DNA by RM systems as elements shaping prokaryotic genomes has not been directly detected, and its cause, frequency, and outcome are unknown. We quantify self-restriction caused by two RM systems of Escherichia coli and find that, in agreement with levels of restriction site avoidance, EcoRI, but not EcoRV, cleaves self-DNA at a measurable rate. Self-restriction is a stochastic process, which temporarily induces the SOS response, and is followed by DNA repair, maintaining cell viability. We find that RM systems with higher restriction efficiency against bacteriophage infections exhibit a higher rate of self-restriction, and that this rate can be further increased by stochastic imbalance between R and M. Our results identify molecular noise in RM systems as a factor shaping prokaryotic genomes.}, author = {Pleska, Maros and Qian, Long and Okura, Reiko and Bergmiller, Tobias and Wakamoto, Yuichi and Kussell, Edo and Guet, Calin C}, journal = {Current Biology}, number = {3}, pages = {404 -- 409}, publisher = {Cell Press}, title = {{Bacterial autoimmunity due to a restriction-modification system}}, doi = {10.1016/j.cub.2015.12.041}, volume = {26}, year = {2016}, } @article{1244, abstract = {Cell polarity refers to a functional spatial organization of proteins that is crucial for the control of essential cellular processes such as growth and division. To establish polarity, cells rely on elaborate regulation networks that control the distribution of proteins at the cell membrane. In fission yeast cells, a microtubule-dependent network has been identified that polarizes the distribution of signaling proteins that restricts growth to cell ends and targets the cytokinetic machinery to the middle of the cell. Although many molecular components have been shown to play a role in this network, it remains unknown which molecular functionalities are minimally required to establish a polarized protein distribution in this system. Here we show that a membrane-binding protein fragment, which distributes homogeneously in wild-type fission yeast cells, can be made to concentrate at cell ends by attaching it to a cytoplasmic microtubule end-binding protein. This concentration results in a polarized pattern of chimera proteins with a spatial extension that is very reminiscent of natural polarity patterns in fission yeast. However, chimera levels fluctuate in response to microtubule dynamics, and disruption of microtubules leads to disappearance of the pattern. Numerical simulations confirm that the combined functionality of membrane anchoring and microtubule tip affinity is in principle sufficient to create polarized patterns. Our chimera protein may thus represent a simple molecular functionality that is able to polarize the membrane, onto which additional layers of molecular complexity may be built to provide the temporal robustness that is typical of natural polarity patterns.}, author = {Recouvreux, Pierre and Sokolowski, Thomas R and Grammoustianou, Aristea and Tenwolde, Pieter and Dogterom, Marileen}, journal = {PNAS}, number = {7}, pages = {1811 -- 1816}, publisher = {National Academy of Sciences}, title = {{Chimera proteins with affinity for membranes and microtubule tips polarize in the membrane of fission yeast cells}}, doi = {10.1073/pnas.1419248113}, volume = {113}, year = {2016}, } @inproceedings{1245, abstract = {To facilitate collaboration in massive online classrooms, instructors must make many decisions. For instance, the following parameters need to be decided when designing a peer-feedback system where students review each others' essays: the number of students each student must provide feedback to, an algorithm to map feedback providers to receivers, constraints that ensure students do not become free-riders (receiving feedback but not providing it), the best times to receive feedback to improve learning etc. While instructors can answer these questions by running experiments or invoking past experience, game-theoretic models with data from online learning platforms can identify better initial designs for further improvements. As an example, we explore the design space of a peer feedback system by modeling it using game theory. Our simulations show that incentivizing students to provide feedback requires the value obtained from receiving a feedback to exceed the cost of providing it by a large factor (greater than 7). Furthermore, hiding feedback from low-effort students incentivizes them to provide more feedback.}, author = {Pandey, Vineet and Chatterjee, Krishnendu}, booktitle = {Proceedings of the ACM Conference on Computer Supported Cooperative Work}, location = {San Francisco, CA, USA}, number = {Februar-2016}, pages = {365 -- 368}, publisher = {ACM}, title = {{Game-theoretic models identify useful principles for peer collaboration in online learning platforms}}, doi = {10.1145/2818052.2869122}, volume = {26}, year = {2016}, } @article{1246, abstract = {Near-field imaging is a powerful tool to investigate the complex structure of light at the nanoscale. Recent advances in near-field imaging have indicated the possibility for the complete reconstruction of both electric and magnetic components of the evanescent field. Here we study the electro-magnetic field structure of surface plasmon polariton waves propagating along subwavelength gold nanowires by performing phase- and polarization-resolved near-field microscopy in collection mode. By applying the optical reciprocity theorem, we describe the signal collected by the probe as an overlap integral of the nanowire's evanescent field and the probe's response function. As a result, we find that the probe's sensitivity to the magnetic field is approximately equal to its sensitivity to the electric field. Through rigorous modeling of the nanowire mode as well as the aperture probe response function, we obtain a good agreement between experimentally measured signals and a numerical model. Our findings provide a better understanding of aperture-based near-field imaging of the nanoscopic plasmonic and photonic structures and are helpful for the interpretation of future near-field experiments.}, author = {Kabakova, Irina and De Hoogh, Anouk and Van Der Wel, Ruben and Wulf, Matthias and Le Feber, Boris and Kuipers, Laurens}, journal = {Scientific Reports}, publisher = {Nature Publishing Group}, title = {{Imaging of electric and magnetic fields near plasmonic nanowires}}, doi = {10.1038/srep22665}, volume = {6}, year = {2016}, } @article{1247, abstract = {The shaping of organs in plants depends on the intercellular flow of the phytohormone auxin, of which the directional signaling is determined by the polar subcellular localization of PIN-FORMED (PIN) auxin transport proteins. Phosphorylation dynamics of PIN proteins are affected by the protein phosphatase 2A (PP2A) and the PINOID kinase, which act antagonistically to mediate their apical-basal polar delivery. Here, we identified the ROTUNDA3 (RON3) protein as a regulator of the PP2A phosphatase activity in Arabidopsis thaliana. The RON3 gene was map-based cloned starting from the ron3-1 leaf mutant and found to be a unique, plant-specific gene coding for a protein with high and dispersed proline content. The ron3-1 and ron3-2 mutant phenotypes [i.e., reduced apical dominance, primary root length, lateral root emergence, and growth; increased ectopic stages II, IV, and V lateral root primordia; decreased auxin maxima in indole-3-acetic acid (IAA)-treated root apical meristems; hypergravitropic root growth and response; increased IAA levels in shoot apices; and reduced auxin accumulation in root meristems] support a role for RON3 in auxin biology. The affinity-purified PP2A complex with RON3 as bait suggested that RON3 might act in PIN transporter trafficking. Indeed, pharmacological interference with vesicle trafficking processes revealed that single ron3-2 and double ron3-2 rcn1 mutants have altered PIN polarity and endocytosis in specific cells. Our data indicate that RON3 contributes to auxin-mediated development by playing a role in PIN recycling and polarity establishment through regulation of the PP2A complex activity.}, author = {Karampelias, Michael and Neyt, Pia and De Groeve, Steven and Aesaert, Stijn and Coussens, Griet and Rolčík, Jakub and Bruno, Leonardo and De Winne, Nancy and Van Minnebruggen, Annemie and Van Montagu, Marc and Ponce, Maria and Micol, José and Friml, Jirí and De Jaeger, Geert and Van Lijsebettens, Mieke}, journal = {PNAS}, number = {10}, pages = {2768 -- 2773}, publisher = {National Academy of Sciences}, title = {{ROTUNDA3 function in plant development by phosphatase 2A-mediated regulation of auxin transporter recycling}}, doi = {10.1073/pnas.1501343112}, volume = {113}, year = {2016}, } @article{1248, abstract = {Life depends as much on the flow of information as on the flow of energy. Here we review the many efforts to make this intuition precise. Starting with the building blocks of information theory, we explore examples where it has been possible to measure, directly, the flow of information in biological networks, or more generally where information-theoretic ideas have been used to guide the analysis of experiments. Systems of interest range from single molecules (the sequence diversity in families of proteins) to groups of organisms (the distribution of velocities in flocks of birds), and all scales in between. Many of these analyses are motivated by the idea that biological systems may have evolved to optimize the gathering and representation of information, and we review the experimental evidence for this optimization, again across a wide range of scales.}, author = {Tkacik, Gasper and Bialek, William}, journal = {Annual Review of Condensed Matter Physics}, pages = {89 -- 117}, publisher = {Annual Reviews}, title = {{Information processing in living systems}}, doi = {10.1146/annurev-conmatphys-031214-014803}, volume = {7}, year = {2016}, } @article{1249, abstract = {Actin and myosin assemble into a thin layer of a highly dynamic network underneath the membrane of eukaryotic cells. This network generates the forces that drive cell- and tissue-scale morphogenetic processes. The effective material properties of this active network determine large-scale deformations and other morphogenetic events. For example, the characteristic time of stress relaxation (the Maxwell time τM) in the actomyosin sets the timescale of large-scale deformation of the cortex. Similarly, the characteristic length of stress propagation (the hydrodynamic length λ) sets the length scale of slow deformations, and a large hydrodynamic length is a prerequisite for long-ranged cortical flows. Here we introduce a method to determine physical parameters of the actomyosin cortical layer in vivo directly from laser ablation experiments. For this we investigate the cortical response to laser ablation in the one-cell-stage Caenorhabditis elegans embryo and in the gastrulating zebrafish embryo. These responses can be interpreted using a coarse-grained physical description of the cortex in terms of a two-dimensional thin film of an active viscoelastic gel. To determine the Maxwell time τM, the hydrodynamic length λ, the ratio of active stress ζΔμ, and per-area friction γ, we evaluated the response to laser ablation in two different ways: by quantifying flow and density fields as a function of space and time, and by determining the time evolution of the shape of the ablated region. Importantly, both methods provide best-fit physical parameters that are in close agreement with each other and that are similar to previous estimates in the two systems. Our method provides an accurate and robust means for measuring physical parameters of the actomyosin cortical layer. It can be useful for investigations of actomyosin mechanics at the cellular-scale, but also for providing insights into the active mechanics processes that govern tissue-scale morphogenesis.}, author = {Saha, Arnab and Nishikawa, Masatoshi and Behrndt, Martin and Heisenberg, Carl-Philipp J and Julicher, Frank and Grill, Stephan}, journal = {Biophysical Journal}, number = {6}, pages = {1421 -- 1429}, publisher = {Biophysical Society}, title = {{Determining physical properties of the cell cortex}}, doi = {10.1016/j.bpj.2016.02.013}, volume = {110}, year = {2016}, } @article{1250, abstract = {In bacteria, replicative aging manifests as a difference in growth or survival between the two cells emerging from division. One cell can be regarded as an aging mother with a decreased potential for future survival and division, the other as a rejuvenated daughter. Here, we aimed at investigating some of the processes involved in aging in the bacterium Escherichia coli, where the two types of cells can be distinguished by the age of their cell poles. We found that certain changes in the regulation of the carbohydrate metabolism can affect aging. A mutation in the carbon storage regulator gene, csrA, leads to a dramatically shorter replicative lifespan; csrA mutants stop dividing once their pole exceeds an age of about five divisions. These old-pole cells accumulate glycogen at their old cell poles; after their last division, they do not contain a chromosome, presumably because of spatial exclusion by the glycogen aggregates. The new-pole daughters produced by these aging mothers are born young; they only express the deleterious phenotype once their pole is old. These results demonstrate how manipulations of nutrient allocation can lead to the exclusion of the chromosome and limit replicative lifespan in E. coli, and illustrate how mutations can have phenotypic effects that are specific for cells with old poles. This raises the question how bacteria can avoid the accumulation of such mutations in their genomes over evolutionary times, and how they can achieve the long replicative lifespans that have recently been reported.}, author = {Boehm, Alex and Arnoldini, Markus and Bergmiller, Tobias and Röösli, Thomas and Bigosch, Colette and Ackermann, Martin}, journal = {PLoS Genetics}, number = {4}, publisher = {Public Library of Science}, title = {{Genetic manipulation of glycogen allocation affects replicative lifespan in E coli}}, doi = {10.1371/journal.pgen.1005974}, volume = {12}, year = {2016}, } @article{1251, abstract = {Plant growth and architecture is regulated by the polar distribution of the hormone auxin. Polarity and flexibility of this process is provided by constant cycling of auxin transporter vesicles along actin filaments, coordinated by a positive auxinactin feedback loop. Both polar auxin transport and vesicle cycling are inhibited by synthetic auxin transport inhibitors, such as 1-Nnaphthylphthalamic acid (NPA), counteracting the effect of auxin; however, underlying targets and mechanisms are unclear. Using NMR, we map the NPA binding surface on the Arabidopsis thaliana ABCB chaperone TWISTED DWARF1 (TWD1).We identify ACTIN7 as a relevant, although likely indirect, TWD1 interactor, and show TWD1-dependent regulation of actin filament organization and dynamics and that TWD1 is required for NPA-mediated actin cytoskeleton remodeling. The TWD1-ACTIN7 axis controls plasma membrane presence of efflux transporters, and as a consequence act7 and twd1 share developmental and physiological phenotypes indicative of defects in auxin transport. These can be phenocopied by NPA treatment or by chemical actin (de)stabilization. We provide evidence that TWD1 determines downstreamlocations of auxin efflux transporters by adjusting actin filament debundling and dynamizing processes and mediating NPA action on the latter. This function appears to be evolutionary conserved since TWD1 expression in budding yeast alters actin polarization and cell polarity and provides NPA sensitivity.}, author = {Zhu, Jinsheng and Bailly, Aurélien and Zwiewka, Marta and Sovero, Valpuri and Di Donato, Martin and Ge, Pei and Oehri, Jacqueline and Aryal, Bibek and Hao, Pengchao and Linnert, Miriam and Burgardt, Noelia and Lücke, Christian and Weiwad, Matthias and Michel, Max and Weiergräber, Oliver and Pollmann, Stephan and Azzarello, Elisa and Mancuso, Stefano and Ferro, Noel and Fukao, Yoichiro and Hoffmann, Céline and Wedlich Söldner, Roland and Friml, Jirí and Thomas, Clément and Geisler, Markus}, journal = {Plant Cell}, number = {4}, pages = {930 -- 948}, publisher = {American Society of Plant Biologists}, title = {{TWISTED DWARF1 mediates the action of auxin transport inhibitors on actin cytoskeleton dynamics}}, doi = {10.1105/tpc.15.00726}, volume = {28}, year = {2016}, } @article{1252, abstract = {We study the homomorphism induced in homology by a closed correspondence between topological spaces, using projections from the graph of the correspondence to its domain and codomain. We provide assumptions under which the homomorphism induced by an outer approximation of a continuous map coincides with the homomorphism induced in homology by the map. In contrast to more classical results we do not require that the projection to the domain have acyclic preimages. Moreover, we show that it is possible to retrieve correct homological information from a correspondence even if some data is missing or perturbed. Finally, we describe an application to combinatorial maps that are either outer approximations of continuous maps or reconstructions of such maps from a finite set of data points.}, author = {Harker, Shaun and Kokubu, Hiroshi and Mischaikow, Konstantin and Pilarczyk, Pawel}, issn = {1088-6826}, journal = {Proceedings of the American Mathematical Society}, number = {4}, pages = {1787 -- 1801}, publisher = {American Mathematical Society}, title = {{Inducing a map on homology from a correspondence}}, doi = {10.1090/proc/12812}, volume = {144}, year = {2016}, } @article{1253, abstract = {This article provides an introduction to the role of microRNAs in the nervous system and outlines their potential involvement in the pathophysiology of schizophrenia, which is hypothesized to arise owing to environmental factors and genetic predisposition.}, author = {Tsai, Lihuei and Siegert, Sandra}, issn = {2168-622X}, journal = {JAMA Psychiatry}, number = {4}, pages = {409 -- 410}, publisher = {American Medical Association}, title = {{How MicroRNAs Are involved in splitting the mind}}, doi = {10.1001/jamapsychiatry.2015.3144}, volume = {73}, year = {2016}, } @article{1254, abstract = {We use rigorous numerical techniques to compute a lower bound for the exponent of expansivity outside a neighborhood of the critical point for thousands of intervals of parameter values in the quadratic family. We first compute a radius of the critical neighborhood outside which the map is uniformly expanding. This radius is taken as small as possible, yet large enough for our numerical procedure to succeed in proving that the expansivity exponent outside this neighborhood is positive. Then, for each of the intervals, we compute a lower bound for this expansivity exponent, valid for all the parameters in that interval. We illustrate and study the distribution of the radii and the expansivity exponents. The results of our computations are mathematically rigorous. The source code of the software and the results of the computations are made publicly available at http://www.pawelpilarczyk.com/quadratic/.}, author = {Golmakani, Ali and Luzzatto, Stefano and Pilarczyk, Pawel}, journal = {Experimental Mathematics}, number = {2}, pages = {116 -- 124}, publisher = {Taylor and Francis}, title = {{Uniform expansivity outside a critical neighborhood in the quadratic family}}, doi = {10.1080/10586458.2015.1048011}, volume = {25}, year = {2016}, } @article{1255, abstract = {Down syndrome cell adhesion molecule 1 (Dscam1) has widereaching and vital neuronal functions although the role it plays in insect and crustacean immunity is less well understood. In this study, we combine different approaches to understand the roles that Dscam1 plays in fitness-related contexts in two model insect species. Contrary to our expectations, we found no short-term modulation of Dscam1 gene expression after haemocoelic or oral bacterial exposure in Tribolium castaneum, or after haemocoelic bacterial exposure in Drosophila melanogaster. Furthermore, RNAi-mediated Dscam1 knockdown and subsequent bacterial exposure did not reduce T. castaneum survival. However, Dscam1 knockdown in larvae resulted in adult locomotion defects, as well as dramatically reduced fecundity in males and females. We suggest that Dscam1 does not always play a straightforward role in immunity, but strongly influences behaviour and fecundity. This study takes a step towards understanding more about the role of this intriguing gene from different phenotypic perspectives.}, author = {Peuß, Robert and Wensing, Kristina and Woestmann, Luisa and Eggert, Hendrik and Milutinovic, Barbara and Sroka, Marlene and Scharsack, Jörn and Kurtz, Joachim and Armitage, Sophie}, journal = {Royal Society Open Science}, number = {4}, publisher = {Royal Society, The}, title = {{Down syndrome cell adhesion molecule 1: Testing for a role in insect immunity, behaviour and reproduction}}, doi = {10.1098/rsos.160138}, volume = {3}, year = {2016}, } @inproceedings{1256, abstract = {Simulink is widely used for model driven development (MDD) of industrial software systems. Typically, the Simulink based development is initiated from Stateflow modeling, followed by simulation, validation and code generation mapped to physical execution platforms. However, recent industrial trends have raised the demands of rigorous verification on safety-critical applications, which is unfortunately challenging for Simulink. In this paper, we present an approach to bridge the Stateflow based model driven development and a well- defined rigorous verification. First, we develop a self- contained toolkit to translate Stateflow model into timed automata, where major advanced modeling features in Stateflow are supported. Taking advantage of the strong verification capability of Uppaal, we can not only find bugs in Stateflow models which are missed by Simulink Design Verifier, but also check more important temporal properties. Next, we customize a runtime verifier for the generated nonintrusive VHDL and C code of Stateflow model for monitoring. The major strength of the customization is the flexibility to collect and analyze runtime properties with a pure software monitor, which opens more opportunities for engineers to achieve high reliability of the target system compared with the traditional act that only relies on Simulink Polyspace. We incorporate these two parts into original Stateflow based MDD seamlessly. In this way, safety-critical properties are both verified at the model level, and at the consistent system implementation level with physical execution environment in consideration. We apply our approach on a train controller design, and the verified implementation is tested and deployed on a real hardware platform.}, author = {Jiang, Yu and Yang, Yixiao and Liu, Han and Kong, Hui and Gu, Ming and Sun, Jiaguang and Sha, Lui}, location = {Vienna, Austria}, publisher = {IEEE}, title = {{From stateflow simulation to verified implementation: A verification approach and a real-time train controller design}}, doi = {10.1109/RTAS.2016.7461337}, year = {2016}, } @article{1257, abstract = {We consider products of random matrices that are small, independent identically distributed perturbations of a fixed matrix (Formula presented.). Focusing on the eigenvalues of (Formula presented.) of a particular size we obtain a limit to a SDE in a critical scaling. Previous results required (Formula presented.) to be a (conjugated) unitary matrix so it could not have eigenvalues of different modulus. From the result we can also obtain a limit SDE for the Markov process given by the action of the random products on the flag manifold. Applying the result to random Schrödinger operators we can improve some results by Valko and Virag showing GOE statistics for the rescaled eigenvalue process of a sequence of Anderson models on long boxes. In particular, we solve a problem posed in their work.}, author = {Sadel, Christian and Virág, Bálint}, journal = {Communications in Mathematical Physics}, number = {3}, pages = {881 -- 919}, publisher = {Springer}, title = {{A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes}}, doi = {10.1007/s00220-016-2600-4}, volume = {343}, year = {2016}, } @article{1258, abstract = {When plants grow in close proximity basic resources such as light can become limiting. Under such conditions plants respond to anticipate and/or adapt to the light shortage, a process known as the shade avoidance syndrome (SAS). Following genetic screening using a shade-responsive luciferase reporter line (PHYB:LUC), we identified DRACULA2 (DRA2), which encodes an Arabidopsis homolog of mammalian nucleoporin 98, a component of the nuclear pore complex (NPC). DRA2, together with other nucleoporins, participates positively in the control of the hypocotyl elongation response to plant proximity, a role that can be considered dependent on the nucleocytoplasmic transport of macromolecules (i.e. is transport dependent). In addition, our results reveal a specific role for DRA2 in controlling shade-induced gene expression. We suggest that this novel regulatory role of DRA2 is transport independent and that it might rely on its dynamic localization within and outside of the NPC. These results provide mechanistic insights in to how SAS responses are rapidly established by light conditions. They also indicate that nucleoporins have an active role in plant signaling.}, author = {Gallemi Rovira, Marcal and Galstyan, Anahit and Paulišić, Sandi and Then, Christiane and Ferrández Ayela, Almudena and Lorenzo Orts, Laura and Roig Villanova, Irma and Wang, Xuewen and Micol, José and Ponce, Maria and Devlin, Paul and Martínez García, Jaime}, journal = {Development}, number = {9}, pages = {1623 -- 1631}, publisher = {Company of Biologists}, title = {{DRACULA2 is a dynamic nucleoporin with a role in regulating the shade avoidance syndrome in Arabidopsis}}, doi = {10.1242/dev.130211}, volume = {143}, year = {2016}, } @article{1259, abstract = {We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a strong enough attractive tail in order to allow for two-body bound states, but are otherwise sufficiently repulsive to guarantee stability of the system, we show that in the low-density limit the ground state of this model consists of a Bose–Einstein condensate of fermion pairs. The latter can be described by means of the Gross–Pitaevskii energy functional.}, author = {Bräunlich, Gerhard and Hainzl, Christian and Seiringer, Robert}, journal = {Mathematical Physics, Analysis and Geometry}, number = {2}, publisher = {Springer}, title = {{Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit}}, doi = {10.1007/s11040-016-9209-x}, volume = {19}, year = {2016}, } @article{1260, abstract = {In this work, the Gardner problem of inferring interactions and fields for an Ising neural network from given patterns under a local stability hypothesis is addressed under a dual perspective. By means of duality arguments, an integer linear system is defined whose solution space is the dual of the Gardner space and whose solutions represent mutually unstable patterns. We propose and discuss Monte Carlo methods in order to find and remove unstable patterns and uniformly sample the space of interactions thereafter. We illustrate the problem on a set of real data and perform ensemble calculation that shows how the emergence of phase dominated by unstable patterns can be triggered in a nonlinear discontinuous way.}, author = {De Martino, Daniele}, journal = {International Journal of Modern Physics C}, number = {6}, publisher = {World Scientific Publishing}, title = {{The dual of the space of interactions in neural network models}}, doi = {10.1142/S0129183116500674}, volume = {27}, year = {2016}, } @article{1261, abstract = {We consider a non-standard finite-volume discretization of a strongly non-linear fourth order diffusion equation on the d-dimensional cube, for arbitrary . The scheme preserves two important structural properties of the equation: the first is the interpretation as a gradient flow in a mass transportation metric, and the second is an intimate relation to a linear Fokker-Planck equation. Thanks to these structural properties, the scheme possesses two discrete Lyapunov functionals. These functionals approximate the entropy and the Fisher information, respectively, and their dissipation rates converge to the optimal ones in the discrete-to-continuous limit. Using the dissipation, we derive estimates on the long-time asymptotics of the discrete solutions. Finally, we present results from numerical experiments which indicate that our discretization is able to capture significant features of the complex original dynamics, even with a rather coarse spatial resolution.}, author = {Maas, Jan and Matthes, Daniel}, journal = {Nonlinearity}, number = {7}, pages = {1992 -- 2023}, publisher = {IOP Publishing Ltd.}, title = {{Long-time behavior of a finite volume discretization for a fourth order diffusion equation}}, doi = {10.1088/0951-7715/29/7/1992}, volume = {29}, year = {2016}, }