A method is presented to tackle the sign problem in the simulations of systems having inde nite or complex-valued measures. In general, this new approach is shown to yield statistical errors smaller than the crude Monte Carlo using absolute values of the original measures. Exactly solvable, one-dimensional Ising models with complex temperature and complex activity illustrate the considerable improvements and the workability of the new method even when the crude one fails.
Abstract. We examine the lower central series of the so-called Fesenko groups T = T (r). These are a certain class of closed subgroups of the Nottingham Group. It is known that all such T are hereditarily just infinite for p > 2. Here we establish that T has finite width, adding to the list of known examples. We also prove that T has infinite obliquity.
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