TY - JOUR AB - We present a new algorithm for the statistical model checking of Markov chains with respect to unbounded temporal properties, including full linear temporal logic. The main idea is that we monitor each simulation run on the fly, in order to detect quickly if a bottom strongly connected component is entered with high probability, in which case the simulation run can be terminated early. As a result, our simulation runs are often much shorter than required by termination bounds that are computed a priori for a desired level of confidence on a large state space. In comparison to previous algorithms for statistical model checking our method is not only faster in many cases but also requires less information about the system, namely, only the minimum transition probability that occurs in the Markov chain. In addition, our method can be generalised to unbounded quantitative properties such as mean-payoff bounds. AU - Daca, Przemyslaw AU - Henzinger, Thomas A AU - Kretinsky, Jan AU - Petrov, Tatjana ID - 471 IS - 2 JF - ACM Transactions on Computational Logic (TOCL) SN - 15293785 TI - Faster statistical model checking for unbounded temporal properties VL - 18 ER - TY - JOUR AB - We introduce planar matchings on directed pseudo-line arrangements, which yield a planar set of pseudo-line segments such that only matching-partners are adjacent. By translating the planar matching problem into a corresponding stable roommates problem we show that such matchings always exist. Using our new framework, we establish, for the first time, a complete, rigorous definition of weighted straight skeletons, which are based on a so-called wavefront propagation process. We present a generalized and unified approach to treat structural changes in the wavefront that focuses on the restoration of weak planarity by finding planar matchings. AU - Biedl, Therese AU - Huber, Stefan AU - Palfrader, Peter ID - 481 IS - 3-4 JF - International Journal of Computational Geometry and Applications TI - Planar matchings for weighted straight skeletons VL - 26 ER - TY - JOUR AB - We consider the dynamics of a large quantum system of N identical bosons in 3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed 0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution in the Nparticle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory. AU - Nam, Phan AU - Napiórkowski, Marcin M ID - 484 IS - 3 JF - Advances in Theoretical and Mathematical Physics SN - 10950761 TI - Bogoliubov correction to the mean-field dynamics of interacting bosons VL - 21 ER - TY - JOUR AB - We prove the universality for the eigenvalue gap statistics in the bulk of the spectrum for band matrices, in the regime where the band width is comparable with the dimension of the matrix, W ~ N. All previous results concerning universality of non-Gaussian random matrices are for mean-field models. By relying on a new mean-field reduction technique, we deduce universality from quantum unique ergodicity for band matrices. AU - Bourgade, Paul AU - Erdös, László AU - Yau, Horng AU - Yin, Jun ID - 483 IS - 3 JF - Advances in Theoretical and Mathematical Physics SN - 10950761 TI - Universality for a class of random band matrices VL - 21 ER - TY - JOUR AB - Orientation in space is represented in specialized brain circuits. Persistent head direction signals are transmitted from anterior thalamus to the presubiculum, but the identity of the presubicular target neurons, their connectivity and function in local microcircuits are unknown. Here, we examine how thalamic afferents recruit presubicular principal neurons and Martinotti interneurons, and the ensuing synaptic interactions between these cells. Pyramidal neuron activation of Martinotti cells in superficial layers is strongly facilitating such that high-frequency head directional stimulation efficiently unmutes synaptic excitation. Martinotti-cell feedback plays a dual role: precisely timed spikes may not inhibit the firing of in-tune head direction cells, while exerting lateral inhibition. Autonomous attractor dynamics emerge from a modelled network implementing wiring motifs and timing sensitive synaptic interactions in the pyramidal - Martinotti-cell feedback loop. This inhibitory microcircuit is therefore tuned to refine and maintain head direction information in the presubiculum. AU - Simonnet, Jean AU - Nassar, Mérie AU - Stella, Federico AU - Cohen, Ivan AU - Mathon, Bertrand AU - Boccara, Charlotte AU - Miles, Richard AU - Fricker, Desdemona ID - 514 JF - Nature Communications SN - 20411723 TI - Activity dependent feedback inhibition may maintain head direction signals in mouse presubiculum VL - 8 ER - TY - JOUR AB - The oxidative phosphorylation electron transport chain (OXPHOS-ETC) of the inner mitochondrial membrane is composed of five large protein complexes, named CI-CV. These complexes convert energy from the food we eat into ATP, a small molecule used to power a multitude of essential reactions throughout the cell. OXPHOS-ETC complexes are organized into supercomplexes (SCs) of defined stoichiometry: CI forms a supercomplex with CIII2 and CIV (SC I+III2+IV, known as the respirasome), as well as with CIII2 alone (SC I+III2). CIII2 forms a supercomplex with CIV (SC III2+IV) and CV forms dimers (CV2). Recent cryo-EM studies have revealed the structures of SC I+III2+IV and SC I+III2. Furthermore, recent work has shed light on the assembly and function of the SCs. Here we review and compare these recent studies and discuss how they have advanced our understanding of mitochondrial electron transport. AU - Letts, James A AU - Sazanov, Leonid A ID - 515 IS - 10 JF - Nature Structural and Molecular Biology SN - 15459993 TI - Clarifying the supercomplex: The higher-order organization of the mitochondrial electron transport chain VL - 24 ER - TY - JOUR AB - We present an experimental setup that creates a shear flow with zero mean advection velocity achieved by counterbalancing the nonzero streamwise pressure gradient by moving boundaries, which generates plane Couette-Poiseuille flow. We obtain experimental results in the transitional regime for this flow. Using flow visualization, we characterize the subcritical transition to turbulence in Couette-Poiseuille flow and show the existence of turbulent spots generated by a permanent perturbation. Due to the zero mean advection velocity of the base profile, these turbulent structures are nearly stationary. We distinguish two regions of the turbulent spot: the active turbulent core, which is characterized by waviness of the streaks similar to traveling waves, and the surrounding region, which includes in addition the weak undisturbed streaks and oblique waves at the laminar-turbulent interface. We also study the dependence of the size of these two regions on Reynolds number. Finally, we show that the traveling waves move in the downstream (Poiseuille) direction. AU - Klotz, Lukasz AU - Lemoult, Grégoire M AU - Frontczak, Idalia AU - Tuckerman, Laurette AU - Wesfreid, José ID - 513 IS - 4 JF - Physical Review Fluids TI - Couette-Poiseuille flow experiment with zero mean advection velocity: Subcritical transition to turbulence VL - 2 ER - TY - JOUR AB - Let X and Y be proper metric spaces. We show that a coarsely n-to-1 map f:X→Y induces an n-to-1 map of Higson coronas. This viewpoint turns out to be successful in showing that the classical dimension raising theorems hold in large scale; that is, if f:X→Y is a coarsely n-to-1 map between proper metric spaces X and Y then asdim(Y)≤asdim(X)+n−1. Furthermore we introduce coarsely open coarsely n-to-1 maps, which include the natural quotient maps via a finite group action, and prove that they preserve the asymptotic dimension. AU - Austin, Kyle AU - Virk, Ziga ID - 521 JF - Topology and its Applications SN - 01668641 TI - Higson compactification and dimension raising VL - 215 ER - TY - JOUR AB - The Casparian strip is an important barrier regulating water and nutrient uptake into root tissues. New research reveals two peptide signals and their co-receptors play critical roles patterning and maintaining barrier integrity. AU - Daniel von Wangenheim AU - Goh, Tatsuaki AU - Dietrich, Daniela AU - Bennett, Malcolm J ID - 525 IS - 5 JF - Current Biology TI - Plant biology: Building barriers… in roots VL - 27 ER - TY - JOUR AB - We investigate the complexity of finding an embedded non-orientable surface of Euler genus g in a triangulated 3-manifold. This problem occurs both as a natural question in low-dimensional topology, and as a first non-trivial instance of embeddability of complexes into 3-manifolds. We prove that the problem is NP-hard, thus adding to the relatively few hardness results that are currently known in 3-manifold topology. In addition, we show that the problem lies in NP when the Euler genus g is odd, and we give an explicit algorithm in this case. AU - Burton, Benjamin AU - De Mesmay, Arnaud N AU - Wagner, Uli ID - 534 IS - 4 JF - Discrete & Computational Geometry SN - 01795376 TI - Finding non-orientable surfaces in 3-Manifolds VL - 58 ER -