@inproceedings{4543,
  abstract     = {The synthesis of a reactive system with respect to all omega-regular specification requires the solution of a graph game. Such games have been extended in two natural ways. First, a game graph can be equipped with probabilistic choices between alternative transitions, thus allowing the, modeling of uncertain behaviour. These are called stochastic games. Second, a liveness specification can he strengthened to require satisfaction within all unknown but bounded amount of time. These are called finitary objectives. We study. for the first time, the, combination of Stochastic games and finitary objectives. We characterize the requirements on optimal strategies and provide algorithms for Computing the maximal achievable probability of winning stochastic games with finitary parity or Street, objectives. Most notably the set of state's from which a player can win with probability . for a finitary parity objective can he computed in polynomial time even though no polynomial-time algorithm is known in the nonfinitary case.},
  author       = {Chatterjee, Krishnendu and Henzinger, Thomas A and Horn, Florian},
  location     = {High Tatras, Slovakia},
  pages        = {34 -- 54},
  publisher    = {Springer},
  title        = {{Stochastic games with finitary objectives}},
  doi          = {10.1007/978-3-642-03816-7_4},
  volume       = {5734},
  year         = {2009},
}

@inproceedings{4544,
  abstract     = {We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety objective to stay forever in a given set of states, and its dual, the reachability objective to reach a given set of states. We present in this paper a strategy improvement algorithm for computing the value of a concurrent safety game, that is, the maximal probability with which player 1 can enforce the safety objective. The algorithm yields a sequence of player-1 strategies which ensure probabilities of winning that converge monotonically to the value of the safety game. Our result is significant because the strategy improvement algorithm provides, for the first time, a way to approximate the value of a concurrent safety game from below. Since a value iteration algorithm, or a strategy improvement algorithm for reachability games, can be used to approximate the same value from above, the combination of both algorithms yields a method for computing a converging sequence of upper and lower bounds for the values of concurrent reachability and safety games. Previous methods could approximate the values of these games only from one direction, and as no rates of convergence are known, they did not provide a practical way to solve these games.},
  author       = {Krishnendu Chatterjee and de Alfaro, Luca and Thomas Henzinger},
  pages        = {197 -- 206},
  publisher    = {SIAM},
  title        = {{Termination criteria for solving concurrent safety and reachability games}},
  doi          = {10.1137/1.9781611973068.23},
  year         = {2009},
}

@inproceedings{4545,
  abstract     = {A stochastic game is a two-player game played oil a graph, where in each state the successor is chosen either by One of the players, or according to a probability distribution. We Survey Stochastic games with limsup and liminf objectives. A real-valued re-ward is assigned to each state, and the value of all infinite path is the limsup (resp. liminf) of all rewards along the path. The value of a stochastic game is the maximal expected value of an infinite path that call he achieved by resolving the decisions of the first player. We present the complexity of computing values of Stochastic games and their subclasses, and the complexity, of optimal strategies in such games. },
  author       = {Chatterjee, Krishnendu and Doyen, Laurent and Henzinger, Thomas A},
  location     = {Rhodos, Greece},
  pages        = {1 -- 15},
  publisher    = {Springer},
  title        = {{A survey of stochastic games with limsup and liminf objectives}},
  doi          = {10.1007/978-3-642-02930-1_1},
  volume       = {5556},
  year         = {2009},
}

@inproceedings{4569,
  abstract     = {Most specification languages express only qualitative constraints. However, among two implementations that satisfy a given specification, one may be preferred to another. For example, if a specification asks that every request is followed by a response, one may prefer an implementation that generates responses quickly but does not generate unnecessary responses. We use quantitative properties to measure the “goodness” of an implementation. Using games with corresponding quantitative objectives, we can synthesize “optimal” implementations, which are preferred among the set of possible implementations that satisfy a given specification.
In particular, we show how automata with lexicographic mean-payoff conditions can be used to express many interesting quantitative properties for reactive systems. In this framework, the synthesis of optimal implementations requires the solution of lexicographic mean-payoff games (for safety requirements), and the solution of games with both lexicographic mean-payoff and parity objectives (for liveness requirements). We present algorithms for solving both kinds of novel graph games.},
  author       = {Bloem, Roderick and Chatterjee, Krishnendu and Henzinger, Thomas A and Jobstmann, Barbara},
  location     = {Grenoble, France},
  pages        = {140 -- 156},
  publisher    = {Springer},
  title        = {{Better quality in synthesis through quantitative objectives}},
  doi          = {10.1007/978-3-642-02658-4_14},
  volume       = {5643},
  year         = {2009},
}

@inproceedings{4580,
  abstract     = {Alpaga is a solver for two-player parity games with imperfect information. Given the description of a game, it determines whether the first player can ensure to win and, if so, it constructs a winning strategy. The tool provides a symbolic implementation of a recent algorithm based on antichains.},
  author       = {Berwanger, Dietmar and Krishnendu Chatterjee and De Wulf, Martin and Doyen, Laurent and Thomas Henzinger},
  pages        = {58 -- 61},
  publisher    = {Springer},
  title        = {{Alpaga: A tool for solving parity games with imperfect information}},
  doi          = {10.1007/978-3-642-00768-2_7},
  volume       = {5505},
  year         = {2009},
}

@article{21514,
  abstract     = {This paper describes observations and metrological analyses made to compare the replication quality of polymeric replicas obtained by filling micro-cavities using both hot embossing and micro-injection moulding processes. The experiments are performed with polypropylene (PP) at a constant melt temperature and a constant mould temperature, whereas hot embossing tests are carried out with the same polymer at temperatures close to the softening one.
The results concerning the micro-cavities filling provide information on the reliability about the possibilities of replication topographical surface geometries. The data obtained by scanning mechanical microscopy (SMM) are used to determine the comparative filling ratio values.},
  author       = {Sahli, M. and Millot, C. and Roques-Carmes, Charles and Khan Malek, C. and Barriere, T. and Gelin, J.C.},
  issn         = {1873-4774},
  journal      = {Journal of Materials Processing Technology},
  keywords     = {Hot embossing, Micro-injection moulding, Micro-cavities replication, Polypropylene polymer, Scanning mechanical microscopy, Roughness parameters},
  number       = {18-19},
  pages        = {5851--5861},
  publisher    = {Elsevier},
  title        = {{Quality assessment of polymer replication by hot embossing and micro-injection moulding processes using scanning mechanical microscopy}},
  doi          = {10.1016/j.jmatprotec.2009.06.011},
  volume       = {209},
  year         = {2009},
}

@article{21513,
  abstract     = {Numerical modelling of the deformation of a polymer using the finite elements method in axisymetrical mode was performed using the LsDyna® software to describe the filling of micro-cavities during the forming process of the material using the hot embossing. These simulations firstly allow verifying whether the chosen forming process conditions promote or not an optimized filling of the superficial cavities in order to achieve precise replicas which best reproduce the superficial topography of the mould. The simulations were carried out to evaluate the filling of the cavities taking into account the mechanical behaviour of the selected polymer into the model. Moreover, these models were developed to verify the effect of the distribution of the mould cavities on their filling. The influence of the mobility of non deformable rigid plates on the filling of the cavities represents an auxiliary variable. In the approach presented, the compression plates are assumed to be parallel and non deformable, whereas the polymer disk follows a rubbery behaviour around a temperature equal to 140°C. Globally the modelling results are satisfactory for they are rather close to the experimental observations conducted. In summary, the effect of the normal stress as also the distribution of micro-cavities at the mould surface seem to prevail in the case of the forming process by hot embossing.},
  author       = {Sahli, Mohamed and Millot, Christine and Roques-Carmes, Charles and Khan Malek, Chantal},
  issn         = {1432-1858},
  journal      = {Microsystem Technologies},
  number       = {6},
  pages        = {827--835},
  publisher    = {Springer Nature},
  title        = {{Experimental analysis and numerical modelling of the forming process of polypropylene replicas of micro-cavities using hot embossing}},
  doi          = {10.1007/s00542-009-0813-6},
  volume       = {15},
  year         = {2009},
}

@article{11878,
  abstract     = {Given only the URL of a web page, can we identify its language? This is the question that we examine in this paper.
Such a language classifier is, for example, useful for crawlers of web search engines, which frequently try to satisfy certain language quotas. To determine the language of uncrawled web pages, they have to download the page, which might be wasteful, if the page is not in the desired language. With URL-based language classifiers these redundant downloads can be avoided.

We apply a variety of machine learning algorithms to the language identification task and evaluate their performance in extensive experiments for five languages: English, French, German, Spanish and Italian. Our best methods achieve an F-measure, averaged over all languages, of around .90 for both a random sample of 1,260 web page from a large web crawl and for 25k pages from the ODP directory. For 5k pages of web search engine results we even achieve an F-measure of .96. The achieved recall for these collections is .93, .88 and .95 respectively. Two independent human evaluators performed considerably worse on the task, with an F-measure of .75 and a typical recall of a mere .67. Using only country-code top-level domains, such as .de or .fr yields a good precision, but a typical recall of below .60 and an F-measure of around .68.},
  author       = {Baykan, Eda and Henzinger, Monika H and Weber, Ingmar},
  issn         = {2150-8097},
  journal      = {Proceedings of the VLDB Endowment},
  number       = {1},
  pages        = {176--187},
  publisher    = {Association for Computing Machinery},
  title        = {{Web page language identification based on URLs}},
  doi          = {10.14778/1453856.1453880},
  volume       = {1},
  year         = {2008},
}

@misc{2674,
  author       = {Fukazawa, Yugo and Tarusawa, Etsuko and Matsui, Ko and Ryuichi Shigemoto},
  booktitle    = {Tanpakushitsu kakusan koso Protein nucleic acid enzyme},
  number       = {4 Suppl},
  pages        = {436 -- 441},
  publisher    = {Kyoritsu Shuppan},
  title        = {{ Ultrastructural insights of postsynaptic glutamate receptor organization }},
  volume       = {53},
  year         = {2008},
}

@article{2675,
  abstract     = {Hyperpolarization-activated cyclic nucleotide-gated (HCN) channels that generate Ih currents are widely distributed in the brain and have been shown to contribute to various neuronal functions. In the present study, we investigated the functions of Ih in the motion-sensitive projection neurons [wide field vertical (WFV) cells] of the superior colliculus, a pivotal visual center for detection of and orientating to salient objects. Combination of whole cell recordings and immunohistochemical investigations suggested that HCN1 channels dominantly contribute to the Ih in WFV cells among HCN isoforms expressed in the superficial superior colliculus and mainly located on their expansive dendritic trees. We found that blocking Ih suppressed the initiation of short- and fixed-latency dendritic spike responses and led instead to long- and fluctuating-latency somatic spike responses to optic fiber stimulations. These results suggest that the dendritic Ih facilitates the dendritic initiation and/or propagation of action potentials and ensures that WFV cells generate spike responses to distal synaptic inputs in a sensitive and robustly time-locked manner, probably by acting as continuous depolarizing drive and fixing dendritic membrane potentials close to the spike threshold. These functions are different from known functions of dendritic Ih revealed in hippocampal and neocortical pyramidal cells, where they spatiotemporally limit the propagations of synaptic inputs along the apical dendrites by reducing dendritic membrane resistance. Thus we have revealed new functional aspects of Ih, and these dendritic properties are likely critical for visual motion processing in these neurons.},
  author       = {Endo, Toshiaki and Tarusawa, Etsuko and Notomi, Takuya and Kaneda, Katsuyuki and Hirabayashi, Masumi and Ryuichi Shigemoto and Isa, Tadashi},
  journal      = {Journal of Neurophysiology},
  number       = {5},
  pages        = {2066 -- 2076},
  publisher    = {American Physiological Society},
  title        = {{Dendritic Ih ensures high-fidelity dendritic spike responses of motion-sensitive neurons in rat superior colliculus}},
  doi          = {10.1152/jn.00556.2007},
  volume       = {99},
  year         = {2008},
}

@article{2676,
  abstract     = {Left-right (L-R) asymmetry is a fundamental feature of higher-order neural function. However, the molecular basis of brain asymmetry remains unclear. We recently reported L-R asymmetry of hippocampal circuitry caused by differential allocation of N-methyl-O-aspartate receptor (NMDAR) subunit GluRε2 (NR2B) in hippocambal synapses. Using electrophysiology and immunocytochemistry, here we analyzed the hippocampal circuitry of the inversus viscerum (iv) mouse that has a randomized laterality of internal organs. The iv mouse hippocampus lacks L-R asymmetry, it exhibits right isomerism in the synaptic distribution of the ε2 subunit, irrespective of the laterality of visceral organs. This independent right isomerism of the hippocampus is the first evidence that a distinct mechanism downstream of the iv mutation generates brain asymmetry.},
  author       = {Kawakami, Ryosuke and Dobi, Alice and Ryuichi Shigemoto and Ito, Isao},
  journal      = {PLoS One},
  number       = {4},
  publisher    = {Public Library of Science},
  title        = {{Right isomerism of the brain in inversus viscerum mutant mice}},
  doi          = {10.1371/journal.pone.0001945},
  volume       = {3},
  year         = {2008},
}

@article{2677,
  abstract     = {The medial septum (MS) is an indispensable component of the subcortical network which synchronizes the hippocampus at theta frequency during specific stages of information processing. GABAergic neurons exhibiting highly regular firing coupled to the hippocampal theta rhythm are thought to form the core of the MS rhythm-generating network. In recent studies the hyperpolarization-activated, cyclic nucleotide-gated non-selective cation (HCN) channel was shown to participate in theta synchronization of the medial septum. Here, we tested the hypothesis that HCN channel expression correlates with theta modulated firing behaviour of MS neurons by a combined anatomical and electrophysiological approach. HCN-expressing neurons represented a subpopulation of GABAergic cells in the MS partly overlapping with parvalbumin (PV)-containing neurons. Rhythmic firing in the theta frequency range was characteristic of all HCN-expressing neurons. In contrast, only a minority of HCN-negative cells displayed theta related activity. All HCN cells had tight phase coupling to hippocampal theta waves. As a group, PV-expressing HCN neurons had a marked bimodal phase distribution, whereas PV-immunonegative HCN neurons did not show group-level phase preference despite significant individual phase coupling. Microiontophoretic blockade of HCN channels resulted in the reduction of discharge frequency, but theta rhythmic firing was perturbed only in a few cases. Our data imply that HCN-expressing GABAergic neurons provide rhythmic drive in all phases of the hippocampal theta activity. In most MS theta cells rhythm genesis is apparently determined by interactions at the level of the network rather than by the pacemaking property of HCN channels alone.},
  author       = {Varga, Viktor and Hangya, Balázs and Kránitz, Kinga and Ludányi, Anikó and Zemankovics, Rita and Katona, István and Ryuichi Shigemoto and Freund, Tamás F and Borhegyi, Zsolt},
  journal      = {Journal of Physiology},
  number       = {16},
  pages        = {3893 -- 3915},
  publisher    = {Wiley-Blackwell},
  title        = {{The presence of pacemaker HCN channels identifies theta rhythmic GABAergic neurons in the medial septum}},
  doi          = {10.1113/jphysiol.2008.155242},
  volume       = {586},
  year         = {2008},
}

@article{2678,
  abstract     = {Mammalian retinas contain abundant neuronal gap junctions, particularly in the inner plexiform layer (IPL), where the two principal neuronal connexin proteins are Cx36 and Cx45. Currently undetermined are coupling relationships between these connexins and whether both are expressed together or separately in a neuronal subtype-specific manner. Although Cx45-expressing neurons strongly couple with Cx36-expressing neurons, possibly via heterotypic gap junctions, Cx45 and Cx36 failed to form functional heterotypic channels in vitro. We now show that Cx36 and Cx45 coexpressed in HeLa cells were colocalized in immunofluorescent puncta between contacting cells, demonstrating targeting/scaffolding competence for both connexins in vitro. However, Cx36 and Cx45 expressed separately did not form immunofluorescent puncta containing both connexins, supporting lack of heterotypic coupling competence. In IPL, 87% of Cx45-immunofluorescent puncta were colocalized with Cx36, supporting either widespread heterotypic coupling or bihomotypic coupling. Ultrastructurally, Cx45 was detected in 9% of IPL gap junction hemiplaques, 90-100% of which also contained Cx36, demonstrating connexin coexpression and cotargeting in virtually all IPL neurons that express Cx45. Moreover, double replicas revealed both connexins in separate domains mirrored on both sides of matched hemiplaques. With previous evidence that Cx36 interacts with PDZ1 domain of zonula occludens-1 (ZO-1), we show that Cx45 interacts with PDZ2 domain of ZO-1, and that Cx36, Cx45, and ZO-1 coimmunoprecipitate, suggesting that ZO-1 provides for coscaffolding of Cx45 with Cx36. These data document that in Cx45-expressing neurons of IPL, Cx45 is almost always accompanied by Cx36, forming "bihomotypic" gap junctions, with Cx45 structurally coupling to Cx45 and Cx36 coupling to Cx36.},
  author       = {Li, Xinbo and Kamasawa, Naomi and Ciolofan, Cristina and Olson, Carl O and Lu, Shijun and Davidson, Kimberly G and Yasumura, Thomas and Ryuichi Shigemoto and Rash, John E and Nagy, James I},
  journal      = {Journal of Neuroscience},
  number       = {39},
  pages        = {9769 -- 9789},
  publisher    = {Society for Neuroscience},
  title        = {{Connexin45-containing neuronal gap junctions in rodent retina also contain connexin36 in both apposing hemiplaques, forming bihomotypic gap junctions, with scaffolding contributed by zonula occludens-1}},
  doi          = {10.1523/JNEUROSCI.2137-08.2008},
  volume       = {28},
  year         = {2008},
}

@article{2679,
  abstract     = {Ionotropic glutamate receptors play important roles in spinal processing of nociceptive sensory signals and induction of central sensitization in chronic pain. Here we applied highly sensitive freeze-fracture replica labeling to laminae I-II of the spinal dorsal horn of rats and investigated the numbers, densities, and colocalization of AMPA- and NMDA-type glutamate receptors at individual postsynaptic membrane specializations with a high resolution. All glutamatergic postsynaptic membranes in laminae I-II expressed AMPA receptors, and most of them (96%) were also immunoreactive for the NR1 subunit of NMDA receptors. The numbers of gold particles for AMPA and NMDA receptors at individual postsynaptic membranes showed a linear correlation with the size of postsynaptic membrane specializations and varied in the range of 8-214 and 5-232 with median values of 37 and 28, whereas their densities varied in the range of 325-3365/μm 2 and 102-2263/μm 2 with median values of 1115/μm 2 and 777/μm 2, respectively. Virtually all (99%) glutamatergic postsynaptic membranes expressed GluR2, and most of them (87%) were also immunoreactive for GluR1. The numbers of gold particles for pan-AMPA, NR1, and GluR2 subunits showed a linear correlation with the size of postsynaptic surface areas. Concerning GluR1, there may be two populations of synapses with high and low GluR1 densities. In synapses larger than 0.1 μm 2, GluR1 subunits were recovered in very low numbers. Differential expression of GluR1 and GluR2 subunits suggests regulation of AMPA receptor subunit composition by presynaptic mechanism.},
  author       = {Antal, Miklós and Fukazawa, Yugo and Eördögh, Mária and Muszil, Dóra and Molnár, Elek and Itakura, Makoto and Takahashi, Masami and Ryuichi Shigemoto},
  journal      = {Journal of Neuroscience},
  number       = {39},
  pages        = {9692 -- 9701},
  publisher    = {Society for Neuroscience},
  title        = {{Numbers, densities, and colocalization of AMPA- and NMDA-type glutamate receptors at individual synapses in the superficial spinal dorsal horn of rats}},
  doi          = {10.1523/JNEUROSCI.1551-08.2008},
  volume       = {28},
  year         = {2008},
}

@article{2681,
  abstract     = {Left-right asymmetry of the brain has been studied mostly through psychological examination and functional imaging in primates, leaving its molecular and synaptic aspects largely unaddressed. Here, we show that hippocampal CA1 pyramidal cell synapses differ in size, shape, and glutamate receptor expression depending on the laterality of presynaptic origin. CA1 synapses receiving neuronal input from the right CA3 pyramidal cells are larger and have more perforated PSD and a GluR1 expression level twice as high as those receiving input from the left CA3. The synaptic density of GluR1 increases as the size of a synapse increases, whereas that of NR2B decreases because of the relatively constant NR2B expression in CA1 regardless of synapse size. Densities of other major glutamate receptor subunits show no correlation with synapse size, thus resulting in higher net expression in synapses having right input. Our study demonstrates universal left-right asymmetry of hippocampal synapses with a fundamental relationship between synaptic area and the expression of glutamate receptor subunits.},
  author       = {Shinohara, Yoshiaki and Hirase, Hajime and Watanabe, Masahiko and Itakura, Makoto and Takahashi, Masami and Ryuichi Shigemoto},
  journal      = {PNAS},
  number       = {49},
  pages        = {19498 -- 19503},
  publisher    = {National Academy of Sciences},
  title        = {{Left-right asymmetry of the hippocampal synapses with differential subunit allocation of glutamate receptors}},
  doi          = {10.1073/pnas.0807461105},
  volume       = {105},
  year         = {2008},
}

@inproceedings{2702,
  abstract     = {We review our proof that in a scaling limit, the time evolution of a quantum particle in a static random environment leads to a diffusion equation. In particular, we discuss the role of Feynman graph expansions and of renormalization.
},
  author       = {László Erdös and Salmhofer, Manfred and Yau, Horng-Tzer},
  pages        = {167 -- 182},
  publisher    = {World Scientific Publishing},
  title        = {{Feynman graphs and renormalization in quantum diffusion}},
  doi          = {10.1142/9789812833556_0011},
  year         = {2008},
}

@article{2753,
  abstract     = {We consider random Schrödinger equations on R d for d ≽ 3 with a homogeneous Anderson–Poisson type random potential. Denote by λ the coupling constant and ψt the solution with initial data ψ0 . The space and time variables scale as x∼λ−2−ϰ/2 and t∼λ−2−ϰ with 0<ϰ<ϰ0(d) . We prove that, in the limit λ → 0, the expectation of the Wigner distribution of ψt converges weakly to the solution of a heat equation in the space variable x for arbitrary L 2 initial data.
The proof is based on analyzing the phase cancellations of multiple scatterings on the random potential by expanding the propagator into a sum of Feynman graphs. In this paper we consider the non-recollision graphs and prove that the amplitude of the non-ladder diagrams is smaller than their “naive size” by an extra λ c factor per non-(anti)ladder vertex for some c > 0. This is the first rigorous result showing that the improvement over the naive estimates on the Feynman graphs grows as a power of the small parameter with the exponent depending linearly on the number of vertices. This estimate allows us to prove the convergence of the perturbation series.
},
  author       = {Erdös, László and Salmhofer, Manfred and Yau, Horng},
  journal      = {Acta Mathematica},
  number       = {2},
  pages        = {211 -- 277},
  publisher    = {Springer},
  title        = {{Quantum diffusion of the random Schrödinger evolution in the scaling limit}},
  doi          = {10.1007/s11511-008-0027-2},
  volume       = {200},
  year         = {2008},
}

@article{2754,
  abstract     = {We study the dynamics of an electron weakly coupled to a phonon gas. The initial state of the electron is the superposition of two spatially localized distant bumps moving towards each other, and the phonons are in a thermal state. We investigate the dynamics of the system in the kinetic regime and show that the time evolution makes the non-diagonal terms of the density matrix of the electron decay, destroying the interference between the two bumps. We show that such a damping effect is exponential in time, and the related decay rate is proportional to the total scattering cross section of the electron-phonon interaction.},
  author       = {Adami, Riccardo and László Erdös},
  journal      = {Journal of Statistical Physics},
  number       = {2},
  pages        = {301 -- 328},
  publisher    = {Springer},
  title        = {{Rate of decoherence for an electron weakly coupled to a phonon gas}},
  doi          = {10.1007/s10955-008-9561-8},
  volume       = {132},
  year         = {2008},
}

@article{2755,
  abstract     = {Consider N bosons in a finite box Λ= [0,L]3⊂ R3 interacting via a two-body non-negative soft potential V=λ V with V fixed and λ>0 small. We will take the limit L,N→∞ by keeping the density =N/L3 fixed and small. We construct a variational state, which gives an upper bound on the ground-state energy per particle ε, ε≤4πa [1+ (128/15π) (a3) 1/2 Sλ] +O (2 ln ), as →0, with a constant satisfying 1≤ Sλ ≤1+Cλ. Here a is the scattering length of V and thus depends on λ. In comparison, the prediction by Lee and Yang [Phys. Rev. 105, 1119 (1957)] and Lee, Huang, and Yang [Phys. Rev. 106, 1135 (1957)] asserts that Sλ =1 independent of λ.},
  author       = {László Erdös and Schlein, Benjamin and Yau, Horng-Tzer},
  journal      = {Physical Review A - Atomic, Molecular, and Optical Physics},
  number       = {5},
  publisher    = {American Physical Society},
  title        = {{Ground-state energy of a low-density Bose gas: A second-order upper bound}},
  doi          = {10.1103/PhysRevA.78.053627},
  volume       = {78},
  year         = {2008},
}

@article{2795,
  abstract     = {The collapse of turbulence, observable in shear flows at low Reynolds numbers, raises the question if turbulence is generically of a transient nature or becomes sustained at some critical point. Recent data have led to conflicting views with the majority of studies supporting the model of turbulence turning into an attracting state. Here we present lifetime measurements of turbulence in pipe flow spanning 8 orders of magnitude in time, drastically extending all previous investigations. We show that no critical point exists in this regime and that in contrast to the prevailing view the turbulent state remains transient. To our knowledge this is the first observation of superexponential transients in turbulence, confirming a conjecture derived from low-dimensional systems.},
  author       = {Björn Hof and de Lózar, Alberto and Kuik, Dirk J and Westerweel, Jerry},
  journal      = {Physical Review Letters},
  number       = {21},
  publisher    = {American Physical Society},
  title        = {{Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow}},
  doi          = {10.1103/PhysRevLett.101.214501},
  volume       = {101},
  year         = {2008},
}