Piecewise Monotonic Maps with a Common Piecewise Constant Stationary Density

被引：0

作者：

Wang, Zi ^{[1
]}

Ding, Jiu ^{[2
]}

Rhee, Noah ^{[3
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

[2] Univ Southern Mississippi, Sch Math & Nat Sci, Hattiesburg, MS 39406 USA

[3] Univ Missouri, Dept Math & Stat, Kansas City, MO 64110 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2023年 / 190卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Invariant measure; Frobenius-Perron operator; Stationary density; Inverse Frobenius-Perron problem; Column stochastic matrix; Statistical stability; Primitive matrix; STATISTICAL PROPERTIES; FINITE APPROXIMATIONS; CHAOTIC MAPS; ULAMS METHOD; FROBENIUS; CONVERGENCE;

D O I：

10.1007/s10955-023-03143-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：17

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