dorsal/arxiv
View SchemaAnalysis of price diffusion in financial markets using PUCK model
| Authors | Takayuki Mizuno, Hideki Takayasu, Misako Takayasu |
|---|---|
| Categories | |
| ArXiv ID | physics/0608115 |
| URL | https://arxiv.org/abs/physics/0608115 |
| DOI | 10.1016/j.physa.2007.02.049 |
Abstract
Based on the new type of random walk process called the Potentials of Unbalanced Complex Kinetics (PUCK) model, we theoretically show that the price diffusion in large scales is amplified 2/(2 + b) times, where b is the coefficient of quadratic term of the potential. In short time scales the price diffusion depends on the size M of the super moving average. Both numerical simulations and real data analysis of Yen-Dollar rates are consistent with theoretical analysis.
{
"annotation_id": "bc5f2ee5-503e-4474-b5a1-c325c6aa6574",
"date_created": "2026-03-02T18:01:11.221000Z",
"date_modified": "2026-03-02T18:01:11.221000Z",
"file_hash": "e42cc9edcced8c5da81e1e721811adc77ab2088705920ab63e5ebbb011b41aa5",
"private": false,
"record": {
"abstract": "Based on the new type of random walk process called the Potentials of\nUnbalanced Complex Kinetics (PUCK) model, we theoretically show that the price\ndiffusion in large scales is amplified 2/(2 + b) times, where b is the\ncoefficient of quadratic term of the potential. In short time scales the price\ndiffusion depends on the size M of the super moving average. Both numerical\nsimulations and real data analysis of Yen-Dollar rates are consistent with\ntheoretical analysis.",
"arxiv_id": "physics/0608115",
"authors": [
"Takayuki Mizuno",
"Hideki Takayasu",
"Misako Takayasu"
],
"categories": [
"physics.soc-ph",
"physics.data-an",
"q-fin.ST"
],
"doi": "10.1016/j.physa.2007.02.049",
"title": "Analysis of price diffusion in financial markets using PUCK model",
"url": "https://arxiv.org/abs/physics/0608115"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "328dc460-85b9-40ba-944a-152a3038fc6a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}