dorsal/arxiv
View SchemaOn the structure of Markov flows
| Authors | L. Accardi, S. V. Kozyrev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911078 |
| URL | https://arxiv.org/abs/quant-ph/9911078 |
Abstract
A new infinitesimal characterization of completely positive but not necessarily homomorphic Markov flows from a C^*-algebra to bounded operators on the boson Fock space over L^2(R) is given. Contrarily to previous characterizations, based on stochastic differential equations, this characterization is universal, i.e. valid for arbitrary Markov flows. With this result the study of Markov flows is reduced to the study of four C_0-semigroups. This includes the classical case and even in this case it seems to be new. The result is applied to deduce a new existence theorem for Markov flows.
{
"annotation_id": "9956e05d-3353-490f-a28b-1dada88d6927",
"date_created": "2026-03-02T18:02:48.423000Z",
"date_modified": "2026-03-02T18:02:48.423000Z",
"file_hash": "aee444f763283c05b777221de7b0197be99642486cb47e7bb4530fc21c04be10",
"private": false,
"record": {
"abstract": "A new infinitesimal characterization of completely positive but not\nnecessarily homomorphic Markov flows from a C^*-algebra to bounded operators on\nthe boson Fock space over L^2(R) is given. Contrarily to previous\ncharacterizations, based on stochastic differential equations, this\ncharacterization is universal, i.e. valid for arbitrary Markov flows. With this\nresult the study of Markov flows is reduced to the study of four\nC_0-semigroups. This includes the classical case and even in this case it seems\nto be new. The result is applied to deduce a new existence theorem for Markov\nflows.",
"arxiv_id": "quant-ph/9911078",
"authors": [
"L. Accardi",
"S. V. Kozyrev"
],
"categories": [
"quant-ph"
],
"title": "On the structure of Markov flows",
"url": "https://arxiv.org/abs/quant-ph/9911078"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "015b6b76-70bf-45cf-bc9f-6c4dbf46cd22",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}