Duality and stationary distributions of wealth distribution models

Duality and stationary distributions of wealth distribution models
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DOI:
10.1088/1751-8113/47/8/085203
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发表时间:
2013-09
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
Pasquale Cirillo;F. Redig;W. Ruszel
Pasquale Cirillo;F. Redig;W. Ruszel
中科院分区:
其他
文献类型:
--
作者:
Pasquale Cirillo;F. Redig;W. Ruszel

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我们分析了一类能源和财富再分配模型,表征其平稳措施,并表明他们有一个离散的对偶过程。特别地,我们证明了具有非零储蓄倾向的财富分布模型永远不可能有不变的乘积测度。我们还介绍了与财富分布模型的“瞬时热化”的扩散过程。
We analyze a class of energy and wealth redistribution models, characterizing their stationary measures and showing that they have a discrete dual process. In particular we show that the wealth distribution model with non-zero saving propensity can never have invariant product measures. We also introduce diffusion processes associated to the wealth distribution models by ‘instantaneous thermalization’.