Exponential Mixing for SDEs under the total variation Article Swipe
Xuhui Peng
,
Rangrang Zhang
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1710.07902
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1710.07902
First, we establish an abstract ergodic result on $\mR^d$. Classical ergodic results on $\mR^d$ require that the process is irreducible, we weaken it to some weak form of irreducibility in this article. The main method used in this article is coupling. Then, we apply our abstract ergodic result to stochastic differential equations driven by a Lévy noise and obtain a new result.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1710.07902
- https://arxiv.org/pdf/1710.07902
- OA Status
- green
- References
- 8
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2766169154
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W2766169154Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.1710.07902Digital Object Identifier
- Title
-
Exponential Mixing for SDEs under the total variationWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2017Year of publication
- Publication date
-
2017-10-22Full publication date if available
- Authors
-
Xuhui Peng, Rangrang ZhangList of authors in order
- Landing page
-
https://arxiv.org/abs/1710.07902Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/1710.07902Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/1710.07902Direct OA link when available
- Concepts
-
Ergodic theory, Irreducibility, Mixing (physics), Mathematics, Stochastic differential equation, Exponential function, Pure mathematics, Coupling (piping), Applied mathematics, Differential (mechanical device), Mathematical analysis, Physics, Quantum mechanics, Thermodynamics, Mechanical engineering, EngineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
8Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W2766169154 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.1710.07902 |
| ids.doi | https://doi.org/10.48550/arxiv.1710.07902 |
| ids.mag | 2766169154 |
| ids.openalex | https://openalex.org/W2766169154 |
| fwci | |
| type | preprint |
| title | Exponential Mixing for SDEs under the total variation |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10067 |
| topics[0].field.id | https://openalex.org/fields/20 |
| topics[0].field.display_name | Economics, Econometrics and Finance |
| topics[0].score | 0.9993000030517578 |
| topics[0].domain.id | https://openalex.org/domains/2 |
| topics[0].domain.display_name | Social Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2003 |
| topics[0].subfield.display_name | Finance |
| topics[0].display_name | Stochastic processes and financial applications |
| topics[1].id | https://openalex.org/T11152 |
| topics[1].field.id | https://openalex.org/fields/26 |
| topics[1].field.display_name | Mathematics |
| topics[1].score | 0.9958999752998352 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2610 |
| topics[1].subfield.display_name | Mathematical Physics |
| topics[1].display_name | Stochastic processes and statistical mechanics |
| topics[2].id | https://openalex.org/T10588 |
| topics[2].field.id | https://openalex.org/fields/26 |
| topics[2].field.display_name | Mathematics |
| topics[2].score | 0.9790999889373779 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2610 |
| topics[2].subfield.display_name | Mathematical Physics |
| topics[2].display_name | Mathematical Dynamics and Fractals |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C122044880 |
| concepts[0].level | 2 |
| concepts[0].score | 0.9483990669250488 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q5498822 |
| concepts[0].display_name | Ergodic theory |
| concepts[1].id | https://openalex.org/C2776823524 |
| concepts[1].level | 2 |
| concepts[1].score | 0.9124342799186707 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q6073561 |
| concepts[1].display_name | Irreducibility |
| concepts[2].id | https://openalex.org/C138777275 |
| concepts[2].level | 2 |
| concepts[2].score | 0.7165243625640869 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q6884054 |
| concepts[2].display_name | Mixing (physics) |
| concepts[3].id | https://openalex.org/C33923547 |
| concepts[3].level | 0 |
| concepts[3].score | 0.6400283575057983 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[3].display_name | Mathematics |
| concepts[4].id | https://openalex.org/C51955184 |
| concepts[4].level | 2 |
| concepts[4].score | 0.5686504244804382 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q1545585 |
| concepts[4].display_name | Stochastic differential equation |
| concepts[5].id | https://openalex.org/C151376022 |
| concepts[5].level | 2 |
| concepts[5].score | 0.5306626558303833 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q168698 |
| concepts[5].display_name | Exponential function |
| concepts[6].id | https://openalex.org/C202444582 |
| concepts[6].level | 1 |
| concepts[6].score | 0.4846085011959076 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q837863 |
| concepts[6].display_name | Pure mathematics |
| concepts[7].id | https://openalex.org/C131584629 |
| concepts[7].level | 2 |
| concepts[7].score | 0.46595555543899536 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q4308705 |
| concepts[7].display_name | Coupling (piping) |
| concepts[8].id | https://openalex.org/C28826006 |
| concepts[8].level | 1 |
| concepts[8].score | 0.44073086977005005 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q33521 |
| concepts[8].display_name | Applied mathematics |
| concepts[9].id | https://openalex.org/C93226319 |
| concepts[9].level | 2 |
| concepts[9].score | 0.41339921951293945 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q193137 |
| concepts[9].display_name | Differential (mechanical device) |
| concepts[10].id | https://openalex.org/C134306372 |
| concepts[10].level | 1 |
| concepts[10].score | 0.3364871144294739 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q7754 |
| concepts[10].display_name | Mathematical analysis |
| concepts[11].id | https://openalex.org/C121332964 |
| concepts[11].level | 0 |
| concepts[11].score | 0.19655436277389526 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[11].display_name | Physics |
| concepts[12].id | https://openalex.org/C62520636 |
| concepts[12].level | 1 |
| concepts[12].score | 0.0666956901550293 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[12].display_name | Quantum mechanics |
| concepts[13].id | https://openalex.org/C97355855 |
| concepts[13].level | 1 |
| concepts[13].score | 0.05658441781997681 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q11473 |
| concepts[13].display_name | Thermodynamics |
| concepts[14].id | https://openalex.org/C78519656 |
| concepts[14].level | 1 |
| concepts[14].score | 0.0 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q101333 |
| concepts[14].display_name | Mechanical engineering |
| concepts[15].id | https://openalex.org/C127413603 |
| concepts[15].level | 0 |
| concepts[15].score | 0.0 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q11023 |
| concepts[15].display_name | Engineering |
| keywords[0].id | https://openalex.org/keywords/ergodic-theory |
| keywords[0].score | 0.9483990669250488 |
| keywords[0].display_name | Ergodic theory |
| keywords[1].id | https://openalex.org/keywords/irreducibility |
| keywords[1].score | 0.9124342799186707 |
| keywords[1].display_name | Irreducibility |
| keywords[2].id | https://openalex.org/keywords/mixing |
| keywords[2].score | 0.7165243625640869 |
| keywords[2].display_name | Mixing (physics) |
| keywords[3].id | https://openalex.org/keywords/mathematics |
| keywords[3].score | 0.6400283575057983 |
| keywords[3].display_name | Mathematics |
| keywords[4].id | https://openalex.org/keywords/stochastic-differential-equation |
| keywords[4].score | 0.5686504244804382 |
| keywords[4].display_name | Stochastic differential equation |
| keywords[5].id | https://openalex.org/keywords/exponential-function |
| keywords[5].score | 0.5306626558303833 |
| keywords[5].display_name | Exponential function |
| keywords[6].id | https://openalex.org/keywords/pure-mathematics |
| keywords[6].score | 0.4846085011959076 |
| keywords[6].display_name | Pure mathematics |
| keywords[7].id | https://openalex.org/keywords/coupling |
| keywords[7].score | 0.46595555543899536 |
| keywords[7].display_name | Coupling (piping) |
| keywords[8].id | https://openalex.org/keywords/applied-mathematics |
| keywords[8].score | 0.44073086977005005 |
| keywords[8].display_name | Applied mathematics |
| keywords[9].id | https://openalex.org/keywords/differential |
| keywords[9].score | 0.41339921951293945 |
| keywords[9].display_name | Differential (mechanical device) |
| keywords[10].id | https://openalex.org/keywords/mathematical-analysis |
| keywords[10].score | 0.3364871144294739 |
| keywords[10].display_name | Mathematical analysis |
| keywords[11].id | https://openalex.org/keywords/physics |
| keywords[11].score | 0.19655436277389526 |
| keywords[11].display_name | Physics |
| keywords[12].id | https://openalex.org/keywords/quantum-mechanics |
| keywords[12].score | 0.0666956901550293 |
| keywords[12].display_name | Quantum mechanics |
| keywords[13].id | https://openalex.org/keywords/thermodynamics |
| keywords[13].score | 0.05658441781997681 |
| keywords[13].display_name | Thermodynamics |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:1710.07902 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/1710.07902 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/1710.07902 |
| locations[1].id | doi:10.48550/arxiv.1710.07902 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.1710.07902 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5088380436 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-2443-4896 |
| authorships[0].author.display_name | Xuhui Peng |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Xuhui Peng |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5006778353 |
| authorships[1].author.orcid | https://orcid.org/0000-0001-6055-0512 |
| authorships[1].author.display_name | Rangrang Zhang |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | Rangrang Zhang |
| authorships[1].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/1710.07902 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Exponential Mixing for SDEs under the total variation |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10067 |
| primary_topic.field.id | https://openalex.org/fields/20 |
| primary_topic.field.display_name | Economics, Econometrics and Finance |
| primary_topic.score | 0.9993000030517578 |
| primary_topic.domain.id | https://openalex.org/domains/2 |
| primary_topic.domain.display_name | Social Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2003 |
| primary_topic.subfield.display_name | Finance |
| primary_topic.display_name | Stochastic processes and financial applications |
| related_works | https://openalex.org/W1630580488, https://openalex.org/W2007170860, https://openalex.org/W4319349750, https://openalex.org/W2951407429, https://openalex.org/W4246385323, https://openalex.org/W2145139444, https://openalex.org/W4383993686, https://openalex.org/W4379981171, https://openalex.org/W1656119201, https://openalex.org/W2057711290 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:1710.07902 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/1710.07902 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/1710.07902 |
| primary_location.id | pmh:oai:arXiv.org:1710.07902 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/1710.07902 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/1710.07902 |
| publication_date | 2017-10-22 |
| publication_year | 2017 |
| referenced_works | https://openalex.org/W3112903361, https://openalex.org/W2021290840, https://openalex.org/W2079184994, https://openalex.org/W2231996281, https://openalex.org/W1576740130, https://openalex.org/W2112746714, https://openalex.org/W1482876438, https://openalex.org/W2963601036 |
| referenced_works_count | 8 |
| abstract_inverted_index.a | 54, 59 |
| abstract_inverted_index.an | 3 |
| abstract_inverted_index.by | 53 |
| abstract_inverted_index.in | 29, 36 |
| abstract_inverted_index.is | 18, 39 |
| abstract_inverted_index.it | 22 |
| abstract_inverted_index.of | 27 |
| abstract_inverted_index.on | 7, 12 |
| abstract_inverted_index.to | 23, 48 |
| abstract_inverted_index.we | 1, 20, 42 |
| abstract_inverted_index.The | 32 |
| abstract_inverted_index.and | 57 |
| abstract_inverted_index.new | 60 |
| abstract_inverted_index.our | 44 |
| abstract_inverted_index.the | 16 |
| abstract_inverted_index.form | 26 |
| abstract_inverted_index.main | 33 |
| abstract_inverted_index.some | 24 |
| abstract_inverted_index.that | 15 |
| abstract_inverted_index.this | 30, 37 |
| abstract_inverted_index.used | 35 |
| abstract_inverted_index.weak | 25 |
| abstract_inverted_index.Lévy | 55 |
| abstract_inverted_index.Then, | 41 |
| abstract_inverted_index.apply | 43 |
| abstract_inverted_index.noise | 56 |
| abstract_inverted_index.First, | 0 |
| abstract_inverted_index.driven | 52 |
| abstract_inverted_index.method | 34 |
| abstract_inverted_index.obtain | 58 |
| abstract_inverted_index.result | 6, 47 |
| abstract_inverted_index.weaken | 21 |
| abstract_inverted_index.$\mR^d$ | 13 |
| abstract_inverted_index.article | 38 |
| abstract_inverted_index.ergodic | 5, 10, 46 |
| abstract_inverted_index.process | 17 |
| abstract_inverted_index.require | 14 |
| abstract_inverted_index.result. | 61 |
| abstract_inverted_index.results | 11 |
| abstract_inverted_index.$\mR^d$. | 8 |
| abstract_inverted_index.abstract | 4, 45 |
| abstract_inverted_index.article. | 31 |
| abstract_inverted_index.Classical | 9 |
| abstract_inverted_index.coupling. | 40 |
| abstract_inverted_index.equations | 51 |
| abstract_inverted_index.establish | 2 |
| abstract_inverted_index.stochastic | 49 |
| abstract_inverted_index.differential | 50 |
| abstract_inverted_index.irreducible, | 19 |
| abstract_inverted_index.irreducibility | 28 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile |