Abstract
For a prescribed piecewise constant density function defined on the unit interval, we construct piecewise strictly monotonic maps, consisting of piecewise stretching linear functions, from the interval to itself whose stationary density is the given function. We also show the statistical stability of such maps under some natural condition.
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The research of Zi Wang was supported in part by the National Natural Science Foundation of China under Grant No. 12001142.
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Wang, Z., Ding, J. & Rhee, N. Piecewise Monotonic Maps with a Common Piecewise Constant Stationary Density. J Stat Phys 190, 145 (2023). https://doi.org/10.1007/s10955-023-03143-1
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DOI: https://doi.org/10.1007/s10955-023-03143-1