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- W2009783431 abstract "This paper considers properties of a Markov chain on the natural numbers which models a binary adding machine in which there a non-zero probability of failure each time a register attempts to increment the succeeding register and resets. This chain has a family of natural quotient Markov chains, and extends naturally to a chain on the 2-adic integers. The transition operators of these chains have a self-similar structure, and have a spectrum which is, variously, the Julia set or filled Julia set of a quadratic map of the complex plane." @default.
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- W2009783431 title "A stochastic adding machine and complex dynamics" @default.
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- W2009783431 doi "https://doi.org/10.1088/0951-7715/13/6/302" @default.
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