@article{1917,
  abstract     = {Auxin-binding protein 1 (ABP1) was discovered nearly 40 years ago and was shown to be essential for plant development and morphogenesis, but its mode of action remains unclear. Here, we report that the plasma membrane-localized transmembrane kinase (TMK) receptor-like kinases interact with ABP1 and transduce auxin signal to activate plasma membrane-associated ROPs [Rho-like guanosine triphosphatases (GTPase) from plants], leading to changes in the cytoskeleton and the shape of leaf pavement cells in Arabidopsis. The interaction between ABP1 and TMK at the cell surface is induced by auxin and requires ABP1 sensing of auxin. These findings show that TMK proteins and ABP1 form a cell surface auxin perception complex that activates ROP signaling pathways, regulating nontranscriptional cytoplasmic responses and associated fundamental processes.},
  author       = {Xu, Tongda and Dai, Ning and Chen, Jisheng and Nagawa, Shingo and Cao, Min and Li, Hongjiang and Zhou, Zimin and Chen, Xu and De Rycke, Riet and Rakusová, Hana and Wang, Wen and Jones, Alan and Friml, Jirí and Patterson, Sara and Bleecker, Anthony and Yang, Zhenbiao},
  journal      = {Science},
  number       = {6174},
  pages        = {1025 -- 1028},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Cell surface ABP1-TMK auxin sensing complex activates ROP GTPase signaling}},
  doi          = {10.1126/science.1245125},
  volume       = {343},
  year         = {2014},
}

@article{1918,
  abstract     = {As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition. We investigate whether the electrons remain bound and whether the radius of the system stays finite as the critical value Zc is approached. Existence of a ground state at Zc is shown under the condition Zc &lt; N-K, where K is the maximal number of electrons that can be removed at Zc without changing the energy.},
  author       = {Bellazzini, Jacopo and Frank, Rupert and Lieb, Élliott and Seiringer, Robert},
  journal      = {Reviews in Mathematical Physics},
  number       = {1},
  publisher    = {World Scientific Publishing},
  title        = {{Existence of ground states for negative ions at the binding threshold}},
  doi          = {10.1142/S0129055X13500219},
  volume       = {26},
  year         = {2014},
}

@article{1919,
  abstract     = {Long-lasting memories are formed when the stimulus is temporally distributed (spacing effect). However, the synaptic mechanisms underlying this robust phenomenon and the precise time course of the synaptic modifications that occur during learning remain unclear. Here we examined the adaptation of horizontal optokinetic response in mice that underwent 1 h of massed and spaced training at varying intervals. Despite similar acquisition by all training protocols, 1 h of spacing produced the highest memory retention at 24 h, which lasted for 1 mo. The distinct kinetics of memory are strongly correlated with the reduction of floccular parallel fiber-Purkinje cell synapses but not with AMPA receptor (AMPAR) number and synapse size. After the spaced training, we observed 25%, 23%, and 12% reduction in AMPAR density, synapse size, and synapse number, respectively. Four hours after the spaced training, half of the synapses and Purkinje cell spines had been eliminated, whereas AMPAR density and synapse size were recovered in remaining synapses. Surprisingly, massed training also produced long-term memory and halving of synapses; however, this occurred slowly over days, and the memory lasted for only 1 wk. This distinct kinetics of structural plasticity may serve as a basis for unique temporal profiles in the formation and decay of memory with or without intervals.},
  author       = {Aziz, Wajeeha and Wang, Wen and Kesaf, Sebnem and Mohamed, Alsayed and Fukazawa, Yugo and Shigemoto, Ryuichi},
  journal      = {PNAS},
  number       = {1},
  pages        = {E194 -- E202},
  publisher    = {National Academy of Sciences},
  title        = {{Distinct kinetics of synaptic structural plasticity, memory formation, and memory decay in massed and spaced learning}},
  doi          = {10.1073/pnas.1303317110},
  volume       = {111},
  year         = {2014},
}

@article{1920,
  abstract     = {Cerebellar motor learning is suggested to be caused by long-term plasticity of excitatory parallel fiber-Purkinje cell (PF-PC) synapses associated with changes in the number of synaptic AMPA-type glutamate receptors (AMPARs). However, whether the AMPARs decrease or increase in individual PF-PC synapses occurs in physiological motor learning and accounts for memory that lasts over days remains elusive. We combined quantitative SDS-digested freeze-fracture replica labeling for AMPAR and physical dissector electron microscopy with a simple model of cerebellar motor learning, adaptation of horizontal optokinetic response (HOKR) in mouse. After 1-h training of HOKR, short-term adaptation (STA) was accompanied with transient decrease in AMPARs by 28% in target PF-PC synapses. STA was well correlated with AMPAR decrease in individual animals and both STA and AMPAR decrease recovered to basal levels within 24 h. Surprisingly, long-termadaptation (LTA) after five consecutive daily trainings of 1-h HOKR did not alter the number of AMPARs in PF-PC synapses but caused gradual and persistent synapse elimination by 45%, with corresponding PC spine loss by the fifth training day. Furthermore, recovery of LTA after 2 wk was well correlated with increase of PF-PC synapses to the control level. Our findings indicate that the AMPARs decrease in PF-PC synapses and the elimination of these synapses are in vivo engrams in short- and long-term motor learning, respectively, showing a unique type of synaptic plasticity that may contribute to memory consolidation.},
  author       = {Wang, Wen and Nakadate, Kazuhiko and Masugi Tokita, Miwako and Shutoh, Fumihiro and Aziz, Wajeeha and Tarusawa, Etsuko and Lörincz, Andrea and Molnár, Elek and Kesaf, Sebnem and Li, Yunqing and Fukazawa, Yugo and Nagao, Soichi and Shigemoto, Ryuichi},
  journal      = {PNAS},
  number       = {1},
  pages        = {E188 -- E193},
  publisher    = {National Academy of Sciences},
  title        = {{Distinct cerebellar engrams in short-term and long-term motor learning}},
  doi          = {10.1073/pnas.1315541111},
  volume       = {111},
  year         = {2014},
}

@article{1921,
  abstract     = {Cell polarity manifested by asymmetric distribution of cargoes, such as receptors and transporters, within the plasma membrane (PM) is crucial for essential functions in multicellular organisms. In plants, cell polarity (re)establishment is intimately linked to patterning processes. Despite the importance of cell polarity, its underlying mechanisms are still largely unknown, including the definition and distinctiveness of the polar domains within the PM. Here, we show in Arabidopsis thaliana that the signaling membrane components, the phosphoinositides phosphatidylinositol 4-phosphate (PtdIns4P) and phosphatidylinositol 4, 5-bisphosphate [PtdIns(4, 5)P2] as well as PtdIns4P 5-kinases mediating their interconversion, are specifically enriched at apical and basal polar plasma membrane domains. The PtdIns4P 5-kinases PIP5K1 and PIP5K2 are redundantly required for polar localization of specifically apical and basal cargoes, such as PIN-FORMED transporters for the plant hormone auxin. As a consequence of the polarity defects, instructive auxin gradients as well as embryonic and postembryonic patterning are severely compromised. Furthermore, auxin itself regulates PIP5K transcription and PtdIns4P and PtdIns(4, 5)P2 levels, in particular their association with polar PM domains. Our results provide insight into the polar domain-delineating mechanisms in plant cells that depend on apical and basal distribution of membrane lipids and are essential for embryonic and postembryonic patterning.},
  author       = {Tejos, Ricardo and Sauer, Michael and Vanneste, Steffen and Palacios-Gomez, MiriamPalacios  and Li, Hongjiang and Heilmann, Mareike and Van Wijk, Ringo and Vermeer, Joop and Heilmann, Ingo and Munnik, Teun and Friml, Jirí},
  journal      = {Plant Cell},
  number       = {5},
  pages        = {2114 -- 2128},
  publisher    = {American Society of Plant Biologists},
  title        = {{Bipolar plasma membrane distribution of phosphoinositides and their requirement for auxin-mediated cell polarity and patterning in Arabidopsis}},
  doi          = {10.1105/tpc.114.126185},
  volume       = {26},
  year         = {2014},
}

@article{1922,
  abstract     = {Germination of Arabidopsis seeds in darkness induces apical hook development, based on a tightly regulated differential growth coordinated by a multiple hormone cross-talk. Here, we endeavoured to clarify the function of brassinosteroids (BRs) and cross-talk with ethylene in hook development. An automated infrared imaging system was developed to study the kinetics of hook development in etiolated Arabidopsis seedlings. To ascertain the photomorphogenic control of hook opening, the system was equipped with an automatic light dimmer. We demonstrate that ethylene and BRs are indispensable for hook formation and maintenance. Ethylene regulation of hook formation functions partly through BRs, with BR feedback inhibition of ethylene action. Conversely, BR-mediated extension of hook maintenance functions partly through ethylene. Furthermore, we revealed that a short light pulse is sufficient to induce rapid hook opening. Our dynamic infrared imaging system allows high-resolution, kinetic imaging of up to 112 seedlings in a single experimental run. At this high throughput, it is ideally suited to rapidly gain insight in pathway networks. We demonstrate that BRs and ethylene cooperatively regulate apical hook development in a phase-dependent manner. Furthermore, we show that light is a predominant regulator of hook opening, inhibiting ethylene- and BR-mediated postponement of hook opening.},
  author       = {Smet, Dajo and Žádníková, Petra and Vandenbussche, Filip and Benková, Eva and Van Der Straeten, Dominique},
  journal      = {New Phytologist},
  number       = {4},
  pages        = {1398 -- 1411},
  publisher    = {Wiley-Blackwell},
  title        = {{Dynamic infrared imaging analysis of apical hook development in Arabidopsis: The case of brassinosteroids}},
  doi          = {10.1111/nph.12751},
  volume       = {202},
  year         = {2014},
}

@article{1923,
  abstract     = {We derive the equations for a thin, axisymmetric elastic shell subjected to an internal active stress giving rise to active tension and moments within the shell. We discuss the stability of a cylindrical elastic shell and its response to a localized change in internal active stress. This description is relevant to describe the cellular actomyosin cortex, a thin shell at the cell surface behaving elastically at a short timescale and subjected to active internal forces arising from myosin molecular motor activity. We show that the recent observations of cell deformation following detachment of adherent cells (Maître J-L et al 2012 Science 338 253-6) are well accounted for by this mechanical description. The actin cortex elastic and bending moduli can be obtained from a quantitative analysis of cell shapes observed in these experiments. Our approach thus provides a non-invasive, imaging-based method for the extraction of cellular physical parameters.},
  author       = {Berthoumieux, Hélène and Maître, Jean-Léon and Heisenberg, Carl-Philipp J and Paluch, Ewa and Julicher, Frank and Salbreux, Guillaume},
  journal      = {New Journal of Physics},
  publisher    = {IOP Publishing Ltd.},
  title        = {{Active elastic thin shell theory for cellular deformations}},
  doi          = {10.1088/1367-2630/16/6/065005},
  volume       = {16},
  year         = {2014},
}

@article{1924,
  abstract     = {Stomata are two-celled valves that control epidermal pores whose spacing optimizes shoot-atmosphere gas exchange. They develop from protodermal cells after unequal divisions followed by an equal division and differentiation. The concentration of the hormone auxin, a master plant developmental regulator, is tightly controlled in time and space, but its role, if any, in stomatal formation is obscure. Here dynamic changes of auxin activity during stomatal development are monitored using auxin input (DII-VENUS) and output (DR5:VENUS) markers by time-lapse imaging. A decrease in auxin levels in the smaller daughter cell after unequal division presages the acquisition of a guard mother cell fate whose equal division produces the two guard cells. Thus, stomatal patterning requires auxin pathway control of stem cell compartment size, as well as auxin depletion that triggers a developmental switch from unequal to equal division.},
  author       = {Le, Jie and Liu, Xuguang and Yang, Kezhen and Chen, Xiaolan and Zhu, Lingling and Wang, Hongzhe and Wang, Ming and Vanneste, Steffen and Morita, Miyo and Tasaka, Masao and Ding, Zhaojun and Friml, Jirí and Beeckman, Tom and Sack, Fred},
  journal      = {Nature Communications},
  publisher    = {Nature Publishing Group},
  title        = {{Auxin transport and activity regulate stomatal patterning and development}},
  doi          = {10.1038/ncomms4090},
  volume       = {5},
  year         = {2014},
}

@article{1925,
  abstract     = {In the past decade carbon nanotubes (CNTs) have been widely studied as a potential drug-delivery system, especially with functionality for cellular targeting. Yet, little is known about the actual process of docking to cell receptors and transport dynamics after internalization. Here we performed single-particle studies of folic acid (FA) mediated CNT binding to human carcinoma cells and their transport inside the cytosol. In particular, we employed molecular recognition force spectroscopy, an atomic force microscopy based method, to visualize and quantify docking of FA functionalized CNTs to FA binding receptors in terms of binding probability and binding force. We then traced individual fluorescently labeled, FA functionalized CNTs after specific uptake, and created a dynamic 'roadmap' that clearly showed trajectories of directed diffusion and areas of nanotube confinement in the cytosol. Our results demonstrate the potential of a single-molecule approach for investigation of drug-delivery vehicles and their targeting capacity.},
  author       = {Lamprecht, Constanze and Plochberger, Birgit and Ruprecht, Verena and Wieser, Stefan and Rankl, Christian and Heister, Elena and Unterauer, Barbara and Brameshuber, Mario and Danzberger, Jürgen and Lukanov, Petar and Flahaut, Emmanuel and Schütz, Gerhard and Hinterdorfer, Peter and Ebner, Andreas},
  journal      = {Nanotechnology},
  number       = {12},
  publisher    = {IOP Publishing},
  title        = {{A single-molecule approach to explore binding uptake and transport of cancer cell targeting nanotubes}},
  doi          = {10.1088/0957-4484/25/12/125704},
  volume       = {25},
  year         = {2014},
}

@article{1926,
  abstract     = {We consider cross products of finite graphs with a class of trees that have arbitrarily but finitely long line segments, such as the Fibonacci tree. Such cross products are called tree-strips. We prove that for small disorder random Schrödinger operators on such tree-strips have purely absolutely continuous spectrum in a certain set.},
  author       = {Sadel, Christian},
  journal      = {Mathematical Physics, Analysis and Geometry},
  number       = {3-4},
  pages        = {409 -- 440},
  publisher    = {Springer},
  title        = {{Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips}},
  doi          = {10.1007/s11040-014-9163-4},
  volume       = {17},
  year         = {2014},
}

@article{1928,
  abstract     = {In infectious disease epidemiology the basic reproductive ratio, R0, is defined as the average number of new infections caused by a single infected individual in a fully susceptible population. Many models describing competition for hosts between non-interacting pathogen strains in an infinite population lead to the conclusion that selection favors invasion of new strains if and only if they have higher R0 values than the resident. Here we demonstrate that this picture fails in finite populations. Using a simple stochastic SIS model, we show that in general there is no analogous optimization principle. We find that successive invasions may in some cases lead to strains that infect a smaller fraction of the host population, and that mutually invasible pathogen strains exist. In the limit of weak selection we demonstrate that an optimization principle does exist, although it differs from R0 maximization. For strains with very large R0, we derive an expression for this local fitness function and use it to establish a lower bound for the error caused by neglecting stochastic effects. Furthermore, we apply this weak selection limit to investigate the selection dynamics in the presence of a trade-off between the virulence and the transmission rate of a pathogen.},
  author       = {Humplik, Jan and Hill, Alison and Nowak, Martin},
  journal      = {Journal of Theoretical Biology},
  pages        = {149 -- 162},
  publisher    = {Elsevier},
  title        = {{Evolutionary dynamics of infectious diseases in finite populations}},
  doi          = {10.1016/j.jtbi.2014.06.039},
  volume       = {360},
  year         = {2014},
}

@article{1929,
  abstract     = {We propose an algorithm for the generalization of cartographic objects that can be used to represent maps on different scales.},
  author       = {Alexeev, V V and Bogaevskaya, V G and Preobrazhenskaya, M M and Ukhalov, A Y and Edelsbrunner, Herbert and Yakimova, Olga},
  issn         = {1573-8795},
  journal      = {Journal of Mathematical Sciences},
  number       = {6},
  pages        = {754 -- 760},
  publisher    = {Springer},
  title        = {{An algorithm for cartographic generalization that preserves global topology}},
  doi          = {10.1007/s10958-014-2165-8},
  volume       = {203},
  year         = {2014},
}

@article{1930,
  abstract     = {(Figure Presented) Data acquisition, numerical inaccuracies, and sampling often introduce noise in measurements and simulations. Removing this noise is often necessary for efficient analysis and visualization of this data, yet many denoising techniques change the minima and maxima of a scalar field. For example, the extrema can appear or disappear, spatially move, and change their value. This can lead to wrong interpretations of the data, e.g., when the maximum temperature over an area is falsely reported being a few degrees cooler because the denoising method is unaware of these features. Recently, a topological denoising technique based on a global energy optimization was proposed, which allows the topology-controlled denoising of 2D scalar fields. While this method preserves the minima and maxima, it is constrained by the size of the data. We extend this work to large 2D data and medium-sized 3D data by introducing a novel domain decomposition approach. It allows processing small patches of the domain independently while still avoiding the introduction of new critical points. Furthermore, we propose an iterative refinement of the solution, which decreases the optimization energy compared to the previous approach and therefore gives smoother results that are closer to the input. We illustrate our technique on synthetic and real-world 2D and 3D data sets that highlight potential applications.},
  author       = {Günther, David and Jacobson, Alec and Reininghaus, Jan and Seidel, Hans and Sorkine Hornung, Olga and Weinkauf, Tino},
  journal      = {IEEE Transactions on Visualization and Computer Graphics},
  number       = {12},
  pages        = {2585 -- 2594},
  publisher    = {IEEE},
  title        = {{Fast and memory-efficient topological denoising of 2D and 3D scalar fields}},
  doi          = {10.1109/TVCG.2014.2346432},
  volume       = {20},
  year         = {2014},
}

@article{1931,
  abstract     = {A wealth of experimental evidence suggests that working memory circuits preferentially represent information that is behaviorally relevant. Still, we are missing a mechanistic account of how these representations come about. Here we provide a simple explanation for a range of experimental findings, in light of prefrontal circuits adapting to task constraints by reward-dependent learning. In particular, we model a neural network shaped by reward-modulated spike-timing dependent plasticity (r-STDP) and homeostatic plasticity (intrinsic excitability and synaptic scaling). We show that the experimentally-observed neural representations naturally emerge in an initially unstructured circuit as it learns to solve several working memory tasks. These results point to a critical, and previously unappreciated, role for reward-dependent learning in shaping prefrontal cortex activity.},
  author       = {Savin, Cristina and Triesch, Jochen},
  journal      = {Frontiers in Computational Neuroscience},
  number       = {MAY},
  publisher    = {Frontiers Research Foundation},
  title        = {{Emergence of task-dependent representations in working memory circuits}},
  doi          = {10.3389/fncom.2014.00057},
  volume       = {8},
  year         = {2014},
}

@article{1932,
  abstract     = {The existence of complex (multiple-step) genetic adaptations that are &quot;irreducible&quot; (i.e., all partial combinations are less fit than the original genotype) is one of the longest standing problems in evolutionary biology. In standard genetics parlance, these adaptations require the crossing of a wide adaptive valley of deleterious intermediate stages. Here, we demonstrate, using a simple model, that evolution can cross wide valleys to produce &quot;irreducibly complex&quot; adaptations by making use of previously cryptic mutations. When revealed by an evolutionary capacitor, previously cryptic mutants have higher initial frequencies than do new mutations, bringing them closer to a valley-crossing saddle in allele frequency space. Moreover, simple combinatorics implies an enormous number of candidate combinations exist within available cryptic genetic variation. We model the dynamics of crossing of a wide adaptive valley after a capacitance event using both numerical simulations and analytical approximations. Although individual valley crossing events become less likely as valleys widen, by taking the combinatorics of genotype space into account, we see that revealing cryptic variation can cause the frequent evolution of complex adaptations.},
  author       = {Trotter, Meredith and Weissman, Daniel and Peterson, Grant and Peck, Kayla and Masel, Joanna},
  journal      = {Evolution},
  number       = {12},
  pages        = {3357 -- 3367},
  publisher    = {Wiley-Blackwell},
  title        = {{Cryptic genetic variation can make &quot;irreducible complexity&quot; a common mode of adaptation in sexual populations}},
  doi          = {10.1111/evo.12517},
  volume       = {68},
  year         = {2014},
}

@article{1933,
  abstract     = {The development of the vertebrate brain requires an exquisite balance between proliferation and differentiation of neural progenitors. Notch signaling plays a pivotal role in regulating this balance, yet the interaction between signaling and receiving cells remains poorly understood. We have found that numerous nascent neurons and/or intermediate neurogenic progenitors expressing the ligand of Notch retain apical endfeet transiently at the ventricular lumen that form adherens junctions (AJs) with the endfeet of progenitors. Forced detachment of the apical endfeet of those differentiating cells by disrupting AJs resulted in precocious neurogenesis that was preceded by the downregulation of Notch signaling. Both Notch1 and its ligand Dll1 are distributed around AJs in the apical endfeet, and these proteins physically interact with ZO-1, a constituent of the AJ. Furthermore, live imaging of a fluorescently tagged Notch1 demonstrated its trafficking from the apical endfoot to the nucleus upon cleavage. Our results identified the apical endfoot as the central site of active Notch signaling to securely prohibit inappropriate differentiation of neural progenitors.},
  author       = {Hatakeyama, Jun and Wakamatsu, Yoshio and Nagafuchi, Akira and Kageyama, Ryoichiro and Shigemoto, Ryuichi and Shimamura, Kenji},
  journal      = {Development},
  number       = {8},
  pages        = {1671 -- 1682},
  publisher    = {Company of Biologists},
  title        = {{Cadherin-based adhesions in the apical endfoot are required for active Notch signaling to control neurogenesis in vertebrates}},
  doi          = {10.1242/dev.102988},
  volume       = {141},
  year         = {2014},
}

@article{1934,
  abstract     = {The plant hormones auxin and cytokinin mutually coordinate their activities to control various aspects of development [1-9], and their crosstalk occurs at multiple levels [10, 11]. Cytokinin-mediated modulation of auxin transport provides an efficient means to regulate auxin distribution in plant organs. Here, we demonstrate that cytokinin does not merely control the overall auxin flow capacity, but might also act as a polarizing cue and control the auxin stream directionality during plant organogenesis. Cytokinin enhances the PIN-FORMED1 (PIN1) auxin transporter depletion at specific polar domains, thus rearranging the cellular PIN polarities and directly regulating the auxin flow direction. This selective cytokinin sensitivity correlates with the PIN protein phosphorylation degree. PIN1 phosphomimicking mutations, as well as enhanced phosphorylation in plants with modulated activities of PIN-specific kinases and phosphatases, desensitize PIN1 to cytokinin. Our results reveal conceptually novel, cytokinin-driven polarization mechanism that operates in developmental processes involving rapid auxin stream redirection, such as lateral root organogenesis, in which a gradual PIN polarity switch defines the growth axis of the newly formed organ.},
  author       = {Marhavy, Peter and Duclercq, Jérôme and Weller, Benjamin and Feraru, Elena and Bielach, Agnieszka and Offringa, Remko and Friml, Jirí and Schwechheimer, Claus and Murphy, Angus and Benková, Eva},
  journal      = {Current Biology},
  number       = {9},
  pages        = {1031 -- 1037},
  publisher    = {Cell Press},
  title        = {{Cytokinin controls polarity of PIN1-dependent Auxin transport during lateral root organogenesis}},
  doi          = {10.1016/j.cub.2014.04.002},
  volume       = {24},
  year         = {2014},
}

@article{1935,
  abstract     = {We consider Ising models in d = 2 and d = 3 dimensions with nearest neighbor ferromagnetic and long-range antiferromagnetic interactions, the latter decaying as (distance)-p, p &gt; 2d, at large distances. If the strength J of the ferromagnetic interaction is larger than a critical value J c, then the ground state is homogeneous. It has been conjectured that when J is smaller than but close to J c, the ground state is periodic and striped, with stripes of constant width h = h(J), and h → ∞ as J → Jc -. (In d = 3 stripes mean slabs, not columns.) Here we rigorously prove that, if we normalize the energy in such a way that the energy of the homogeneous state is zero, then the ratio e 0(J)/e S(J) tends to 1 as J → Jc -, with e S(J) being the energy per site of the optimal periodic striped/slabbed state and e 0(J) the actual ground state energy per site of the system. Our proof comes with explicit bounds on the difference e 0(J)-e S(J) at small but positive J c-J, and also shows that in this parameter range the ground state is striped/slabbed in a certain sense: namely, if one looks at a randomly chosen window, of suitable size ℓ (very large compared to the optimal stripe size h(J)), one finds a striped/slabbed state with high probability.},
  author       = {Giuliani, Alessandro and Lieb, Élliott and Seiringer, Robert},
  issn         = {1432-0916},
  journal      = {Communications in Mathematical Physics},
  pages        = {333 -- 350},
  publisher    = {Springer},
  title        = {{Formation of stripes and slabs near the ferromagnetic transition}},
  doi          = {10.1007/s00220-014-1923-2},
  volume       = {331},
  year         = {2014},
}

@article{1936,
  abstract     = {The social intelligence hypothesis states that the need to cope with complexities of social life has driven the evolution of advanced cognitive abilities. It is usually invoked in the context of challenges arising from complex intragroup structures, hierarchies, and alliances. However, a fundamental aspect of group living remains largely unexplored as a driving force in cognitive evolution: the competition between individuals searching for resources (producers) and conspecifics that parasitize their findings (scroungers). In populations of social foragers, abilities that enable scroungers to steal by outsmarting producers, and those allowing producers to prevent theft by outsmarting scroungers, are likely to be beneficial and may fuel a cognitive arms race. Using analytical theory and agent-based simulations, we present a general model for such a race that is driven by the producer-scrounger game and show that the race's plausibility is dramatically affected by the nature of the evolving abilities. If scrounging and scrounging avoidance rely on separate, strategy-specific cognitive abilities, arms races are short-lived and have a limited effect on cognition. However, general cognitive abilities that facilitate both scrounging and scrounging avoidance undergo stable, long-lasting arms races. Thus, ubiquitous foraging interactions may lead to the evolution of general cognitive abilities in social animals, without the requirement of complex intragroup structures.},
  author       = {Arbilly, Michal and Weissman, Daniel and Feldman, Marcus and Grodzinski, Uri},
  journal      = {Behavioral Ecology},
  number       = {3},
  pages        = {487 -- 495},
  publisher    = {Oxford University Press},
  title        = {{An arms race between producers and scroungers can drive the evolution of social cognition}},
  doi          = {10.1093/beheco/aru002},
  volume       = {25},
  year         = {2014},
}

@article{1937,
  abstract     = {We prove the edge universality of the beta ensembles for any β ≥ 1, provided that the limiting spectrum is supported on a single interval, and the external potential is C4 and regular. We also prove that the edge universality holds for generalized Wigner matrices for all symmetry classes. Moreover, our results allow us to extend bulk universality for beta ensembles from analytic potentials to potentials in class C4.},
  author       = {Bourgade, Paul and Erdös, László and Yau, Horngtzer},
  journal      = {Communications in Mathematical Physics},
  number       = {1},
  pages        = {261 -- 353},
  publisher    = {Springer},
  title        = {{Edge universality of beta ensembles}},
  doi          = {10.1007/s00220-014-2120-z},
  volume       = {332},
  year         = {2014},
}

