Work

Stochastic compression with and without permutations

Year: 2025

Type: article

Abstract: We consider a simplified Ponzi pyramid scheme with and without freedom of movement, which simulates stochastic compression with high and low turbulence. For this case, surprisingly, the limit density distributions can be computed explicitly, and neat formulas are provided. As the dimension of space increases, the distinction between structured and turbulent compression becomes less pronounced. Already in dimension two, the density distributions are barely distinguishable. Please note that Ponzi schemes are typically considered a form of economic fraud. In this research, they are chosen because they illustrate well aspects of turbulent compression.

Source: Physica A Statistical Mechanics and its Applications

DOI: 10.1016/j.physa.2025.131194

Author: Anton A. Kutsenko

Institution: Universität Hamburg

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funder: Deutsche Forschungsgemeinschaft