TY - JOUR AB - The paper presents an algorithm that applies a stack filter simulating the Mean Curvature Motion equation via a finite difference scheme. AU - Mondelli, Marco ID - 6768 JF - Image Processing On Line SN - 2105-1232 TI - A finite difference scheme for the stack filter simulating the MCM VL - 3 ER - TY - CONF AB - Two-player games on graphs are central in many problems in formal verification and program analysis such as synthesis and verification of open systems. In this work, we consider both finite-state game graphs, and recursive game graphs (or pushdown game graphs) that model the control flow of sequential programs with recursion. The objectives we study are multidimensional mean-payoff objectives, where the goal of player 1 is to ensure that the mean-payoff is non-negative in all dimensions. In pushdown games two types of strategies are relevant: (1) global strategies, that depend on the entire global history; and (2) modular strategies, that have only local memory and thus do not depend on the context of invocation. Our main contributions are as follows: (1) We show that finite-state multidimensional mean-payoff games can be solved in polynomial time if the number of dimensions and the maximal absolute value of the weights are fixed; whereas if the number of dimensions is arbitrary, then the problem is known to be coNP-complete. (2) We show that pushdown graphs with multidimensional mean-payoff objectives can be solved in polynomial time. For both (1) and (2) our algorithms are based on hyperplane separation technique. (3) For pushdown games under global strategies both one and multidimensional mean-payoff objectives problems are known to be undecidable, and we show that under modular strategies the multidimensional problem is also undecidable; under modular strategies the one-dimensional problem is NP-complete. We show that if the number of modules, the number of exits, and the maximal absolute value of the weights are fixed, then pushdown games under modular strategies with one-dimensional mean-payoff objectives can be solved in polynomial time, and if either the number of exits or the number of modules is unbounded, then the problem is NP-hard. (4) Finally we show that a fixed parameter tractable algorithm for finite-state multidimensional mean-payoff games or pushdown games under modular strategies with one-dimensional mean-payoff objectives would imply the fixed parameter tractability of parity games. AU - Chatterjee, Krishnendu AU - Velner, Yaron ID - 2329 TI - Hyperplane separation technique for multidimensional mean-payoff games VL - 8052 ER - TY - JOUR AB - Rechargeable lithium–air (O2) batteries are receiving intense interest because their high theoretical specific energy exceeds that of lithium-ion batteries. If the Li–O2 battery is ever to succeed, highly reversible formation/decomposition of Li2O2 must take place at the cathode on cycling. However, carbon, used ubiquitously as the basis of the cathode, decomposes during Li2O2 oxidation on charge and actively promotes electrolyte decomposition on cycling. Replacing carbon with a nanoporous gold cathode, when in contact with a dimethyl sulphoxide-based electrolyte, does seem to demonstrate better stability. However, nanoporous gold is not a suitable cathode; its high mass destroys the key advantage of Li–O2 over Li ion (specific energy), it is too expensive and too difficult to fabricate. Identifying a suitable cathode material for the Li–O2 cell is one of the greatest challenges at present. Here we show that a TiC-based cathode reduces greatly side reactions (arising from the electrolyte and electrode degradation) compared with carbon and exhibits better reversible formation/decomposition of Li2O2 even than nanoporous gold (>98% capacity retention after 100 cycles, compared with 95% for nanoporous gold); it is also four times lighter, of lower cost and easier to fabricate. The stability may originate from the presence of TiO2 (along with some TiOC) on the surface of TiC. In contrast to carbon or nanoporous gold, TiC seems to represent a more viable, stable, cathode for aprotic Li–O2 cells. AU - Ottakam Thotiyl, Muhammed M. AU - Freunberger, Stefan Alexander AU - Peng, Zhangquan AU - Chen, Yuhui AU - Liu, Zheng AU - Bruce, Peter G. ID - 7306 IS - 11 JF - Nature Materials SN - 1476-1122 TI - A stable cathode for the aprotic Li–O2 battery VL - 12 ER - TY - JOUR AB - The non-aqueous Li–air (O2) battery is receiving intense interest because its theoretical specific energy exceeds that of Li-ion batteries. Recharging the Li–O2 battery depends on oxidizing solid lithium peroxide (Li2O2), which is formed on discharge within the porous cathode. However, transporting charge between Li2O2 particles and the solid electrode surface is at best very difficult and leads to voltage polarization on charging, even at modest rates. This is a significant problem facing the non-aqueous Li–O2 battery. Here we show that incorporation of a redox mediator, tetrathiafulvalene (TTF), enables recharging at rates that are impossible for the cell in the absence of the mediator. On charging, TTF is oxidized to TTF+ at the cathode surface; TTF+ in turn oxidizes the solid Li2O2, which results in the regeneration of TTF. The mediator acts as an electron–hole transfer agent that permits efficient oxidation of solid Li2O2. The cell with the mediator demonstrated 100 charge/discharge cycles. AU - Chen, Yuhui AU - Freunberger, Stefan Alexander AU - Peng, Zhangquan AU - Fontaine, Olivier AU - Bruce, Peter G. ID - 7307 IS - 6 JF - Nature Chemistry SN - 1755-4330 TI - Charging a Li–O2 battery using a redox mediator VL - 5 ER - TY - JOUR AB - Casein kinase1 (CK1) plays crucial roles in regulating growth and development via phosphorylating various substrates throughout the eukaryote kingdom. Blue light is crucial for normal growth of both plants and animals, and blue light receptor cryptochrome2 (CRY2) undergoes blue light–dependent phosphorylation and degradation in planta. To study the function of plant CK1s, systematic genetic analysis showed that deficiency of two paralogous Arabidopsis thaliana CK1s, CK1.3 and CK1.4, caused shortened hypocotyls, especially under blue light, while overexpression of either CK1.3 or CK1.4 resulted in the insensitive response to blue light and delayed flowering under long-day conditions. CK1.3 or CK1.4 act dependently on CRY2, and overexpression of CK1.3 or CK1.4 significantly suppresses the hypersensitive response to blue light by CRY2 overexpression. Biochemical studies showed that CK1.3 and CK1.4 directly phosphorylate CRY2 at Ser-587 and Thr-603 in vitro and negatively regulate CRY2 stability in planta, which are stimulated by blue light, further confirming the crucial roles of CK1.3 and CK1.4 in blue light responses through phosphorylating CRY2. Interestingly, expression of CK1.3 and CK1.4 is stimulated by blue light and feedback regulated by CRY2-mediated signaling. These results provide direct evidence for CRY2 phosphorylation and informative clues on the mechanisms of CRY2-mediated light responses. AU - Tan, Shutang AU - Dai, C. AU - Liu, H.-T. AU - Xue, H.-W. ID - 7596 IS - 7 JF - The Plant Cell SN - 1040-4651 TI - Arabidopsis casein kinase1 proteins CK1.3 and CK1.4 phosphorylate cryptochrome2 to regulate blue light signaling VL - 25 ER -