............................................................................................................... 3 List of publications .............................................................................................. 7 Abbreviations ...................................................................................................... 8 Introduction ....................................

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the transported quantity in the neighboring cells. A motivation is pedestrian dynamics during panic situations in a small corridor where the propagation of people...

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References 32, 33, 36, and 41 are incomplete. Please view the corrected references here. 32. WHO SEARO. [cited 2014 January 3]; Available from: http://209.61.208.233/LinkFiles/ Dengue_CFR_Dengue_85-06.pdf. 33. WHO Global Health Observatory Data Repository: Life expectancy. [cited 2014 January 14]; Available from: http://apps.who.int/gho/data/node.main.692. 36. Office of the Prime Minister In: T...

Experimental results are described to evaluate the diffuse pollution profile according to land use in the catchments and street sweeping as a best management practice (BMP). We studied the variation of pollutant concentrations in outfalls discharging runoff from residential, commercial and high-traffic areas and in street sweeping. Pollution profiles varied with the land use in the catchments a...

0, Vol. 0, No. 00, 1–24 DOI: 10.1214/12-AAP858 © Institute of Mathematical Statistics, 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 ERROR DISTRIBUTIONS FOR RANDOM GRID APPROXIMATIONS OF MULTIDIMENSION...

Fast Marching and Fast Sweeping are the two most commonly used methods for solving the Eikonal equation. Each of these methods performs best on a different set of problems. Fast Sweeping, for example, will outperform Fast Marching on problems where the characteristics are largely straight lines. Fast Marching, on the other hand, is usually more efficient than Fast Sweeping on problems where cha...

Episodic control has been proposed as a third approach to reinforcement learning, besides model-free and model-based control, by analogy with the three types of human memory. i.e. episodic, procedural and semantic memory. But the theoretical properties of episodic control are not well investigated. Here I show that in deterministic tree Markov decision processes, episodic control is equivalent ...

In this paper a fast sweeping method for computing the numerical solution of Eikonal equations on a rectangular grid is presented. The method is an iterative method which uses upwind difference for discretization and uses Gauss-Seidel iterations with alternating sweeping ordering to solve the discretized system. The crucial idea is that each sweeping ordering follows a family of characteristics...