dorsal/arxiv
View SchemaProbability as typicality
| Authors | Sergio B. Volchan |
|---|---|
| Categories | |
| ArXiv ID | physics/0611172 |
| URL | https://arxiv.org/abs/physics/0611172 |
Abstract
The concept of typicality refers to properties holding for the "overwhelming majority" of cases and is a fundamental idea of the qualitative approach to dynamical problems. We argue that measure-theoretical typicality would be the adequate viewpoint of the role of probability in classical statistical mechanics, particularly in understanding the micro to macroscopic change of levels of description.
{
"annotation_id": "8c592b4f-1232-4a39-b3e7-0388829c1c80",
"date_created": "2026-03-02T18:01:14.573000Z",
"date_modified": "2026-03-02T18:01:14.573000Z",
"file_hash": "25fe4d5a8de311d0eea5ce3050b44bbe98a75c35ac302ebb65a710fe67dc62c0",
"private": false,
"record": {
"abstract": "The concept of typicality refers to properties holding for the \"overwhelming\nmajority\" of cases and is a fundamental idea of the qualitative approach to\ndynamical problems. We argue that measure-theoretical typicality would be the\nadequate viewpoint of the role of probability in classical statistical\nmechanics, particularly in understanding the micro to macroscopic change of\nlevels of description.",
"arxiv_id": "physics/0611172",
"authors": [
"Sergio B. Volchan"
],
"categories": [
"physics.hist-ph"
],
"title": "Probability as typicality",
"url": "https://arxiv.org/abs/physics/0611172"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b54f251e-665b-4ba2-b552-a7ab6110453d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}