A dilute bootstrap percolation: Lattice model for unresponsiveness in T-cell immunology

The biased majority rule of cellular automata takes a spin up if and only if at least two of its four nearest neighbors on the square lattice are up. We generalize this type of bootstrap percolation by introducing quenched site dilution as well as a random birth and decay process. Our Monte Carlo simulations then give first-order transitions qualitatively similar to our results from meanfield reaction equations describing the induction of T-cell unresponsiveness in the immune system.     

Über eine notwendige und hinreichende Bedingung für regulär singuläres Verhalten von linearen Differentialgleichungssystemen

Ohne Zusammenfassung     

On the massive thirring model

The existence of the massive Thirring model with space cut-off is proved for a certain range of the coupling constant. Its relation to the Sine-Gordon theory is analyzed in every charge sector.     

An ocean modelling system with turbulent boundary layers and topography: numerical description

The Sandia ocean modelling system (SOMS) is a system of three-dimensional, fully conservative, partially implicit numerical models based on primitive equations and a staggered Arakawa ‘c’ grid. A thin-shell bottom boundary layer submodel coupled to a free-stream submodel resolves boundary layers together with realistic topography. Both submodels use stretched vertical co-ordinates and an optional Mellor-Yamada level-2·5 turbulence closure. Rigid top pressures are determined by vertical integration of the conservation equations using a hydrostatic approximation. SOMS reproduces previously published results, but with notable advantages in speed and economy.