Quantitative recurrence and the shrinking target problem for overlapping iterated function systems Article Swipe
Simon Baker
,
Henna Koivusalo
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2305.01489
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2305.01489
In this paper we study quantitative recurrence and the shrinking target problem for dynamical systems coming from overlapping iterated function systems. Such iterated function systems have the important property that a point often has several distinct choices of forward orbit. As is demonstrated in this paper, this non-uniqueness leads to different behaviour to that observed in the traditional setting where every point has a unique forward orbit. We prove several almost sure results on the Lebesgue measure of the set of points satisfying a given recurrence rate, and on the Lebesgue measure of the set of points returning to a shrinking target infinitely often. In certain cases, when the Lebesgue measure is zero, we also obtain Hausdorff dimension bounds. One interesting aspect of our approach is that it allows us to handle targets that are not simply balls, but may have a more exotic geometry.
Related Topics
Concepts
Iterated function system
Lebesgue measure
Iterated function
Mathematics
Measure (data warehouse)
Hausdorff measure
Uniqueness
Function (biology)
Orbit (dynamics)
Set (abstract data type)
Lebesgue integration
Hausdorff dimension
Pure mathematics
Discrete mathematics
Mathematical analysis
Computer science
Fractal
Database
Biology
Engineering
Evolutionary biology
Programming language
Aerospace engineering
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2305.01489
- https://arxiv.org/pdf/2305.01489
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4367860593
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4367860593Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2305.01489Digital Object Identifier
- Title
-
Quantitative recurrence and the shrinking target problem for overlapping iterated function systemsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-05-02Full publication date if available
- Authors
-
Simon Baker, Henna KoivusaloList of authors in order
- Landing page
-
https://arxiv.org/abs/2305.01489Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2305.01489Direct 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/2305.01489Direct OA link when available
- Concepts
-
Iterated function system, Lebesgue measure, Iterated function, Mathematics, Measure (data warehouse), Hausdorff measure, Uniqueness, Function (biology), Orbit (dynamics), Set (abstract data type), Lebesgue integration, Hausdorff dimension, Pure mathematics, Discrete mathematics, Mathematical analysis, Computer science, Fractal, Database, Biology, Engineering, Evolutionary biology, Programming language, Aerospace engineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4367860593 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2305.01489 |
| ids.doi | https://doi.org/10.48550/arxiv.2305.01489 |
| ids.openalex | https://openalex.org/W4367860593 |
| fwci | |
| type | preprint |
| title | Quantitative recurrence and the shrinking target problem for overlapping iterated function systems |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10588 |
| topics[0].field.id | https://openalex.org/fields/26 |
| topics[0].field.display_name | Mathematics |
| topics[0].score | 0.9973000288009644 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2610 |
| topics[0].subfield.display_name | Mathematical Physics |
| topics[0].display_name | Mathematical Dynamics and Fractals |
| topics[1].id | https://openalex.org/T12793 |
| topics[1].field.id | https://openalex.org/fields/13 |
| topics[1].field.display_name | Biochemistry, Genetics and Molecular Biology |
| topics[1].score | 0.9150999784469604 |
| topics[1].domain.id | https://openalex.org/domains/1 |
| topics[1].domain.display_name | Life Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/1307 |
| topics[1].subfield.display_name | Cell Biology |
| topics[1].display_name | Caveolin-1 and cellular processes |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C168460219 |
| concepts[0].level | 3 |
| concepts[0].score | 0.7879106402397156 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q1502167 |
| concepts[0].display_name | Iterated function system |
| concepts[1].id | https://openalex.org/C2777105136 |
| concepts[1].level | 3 |
| concepts[1].score | 0.7372252345085144 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q827230 |
| concepts[1].display_name | Lebesgue measure |
| concepts[2].id | https://openalex.org/C140479938 |
| concepts[2].level | 2 |
| concepts[2].score | 0.6967571973800659 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q5254619 |
| concepts[2].display_name | Iterated function |
| concepts[3].id | https://openalex.org/C33923547 |
| concepts[3].level | 0 |
| concepts[3].score | 0.6580386161804199 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[3].display_name | Mathematics |
| concepts[4].id | https://openalex.org/C2780009758 |
| concepts[4].level | 2 |
| concepts[4].score | 0.6508411765098572 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q6804172 |
| concepts[4].display_name | Measure (data warehouse) |
| concepts[5].id | https://openalex.org/C73225184 |
| concepts[5].level | 3 |
| concepts[5].score | 0.5859209299087524 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q1591095 |
| concepts[5].display_name | Hausdorff measure |
| concepts[6].id | https://openalex.org/C2777021972 |
| concepts[6].level | 2 |
| concepts[6].score | 0.5757573843002319 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q22976830 |
| concepts[6].display_name | Uniqueness |
| concepts[7].id | https://openalex.org/C14036430 |
| concepts[7].level | 2 |
| concepts[7].score | 0.5584116578102112 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q3736076 |
| concepts[7].display_name | Function (biology) |
| concepts[8].id | https://openalex.org/C196644772 |
| concepts[8].level | 2 |
| concepts[8].score | 0.527077853679657 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q3884964 |
| concepts[8].display_name | Orbit (dynamics) |
| concepts[9].id | https://openalex.org/C177264268 |
| concepts[9].level | 2 |
| concepts[9].score | 0.4809831380844116 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q1514741 |
| concepts[9].display_name | Set (abstract data type) |
| concepts[10].id | https://openalex.org/C14158598 |
| concepts[10].level | 2 |
| concepts[10].score | 0.4673023223876953 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q853831 |
| concepts[10].display_name | Lebesgue integration |
| concepts[11].id | https://openalex.org/C194198291 |
| concepts[11].level | 2 |
| concepts[11].score | 0.385032057762146 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q565186 |
| concepts[11].display_name | Hausdorff dimension |
| concepts[12].id | https://openalex.org/C202444582 |
| concepts[12].level | 1 |
| concepts[12].score | 0.37034082412719727 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q837863 |
| concepts[12].display_name | Pure mathematics |
| concepts[13].id | https://openalex.org/C118615104 |
| concepts[13].level | 1 |
| concepts[13].score | 0.3258378505706787 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q121416 |
| concepts[13].display_name | Discrete mathematics |
| concepts[14].id | https://openalex.org/C134306372 |
| concepts[14].level | 1 |
| concepts[14].score | 0.29673463106155396 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q7754 |
| concepts[14].display_name | Mathematical analysis |
| concepts[15].id | https://openalex.org/C41008148 |
| concepts[15].level | 0 |
| concepts[15].score | 0.18897002935409546 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[15].display_name | Computer science |
| concepts[16].id | https://openalex.org/C40636538 |
| concepts[16].level | 2 |
| concepts[16].score | 0.13661152124404907 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q81392 |
| concepts[16].display_name | Fractal |
| concepts[17].id | https://openalex.org/C77088390 |
| concepts[17].level | 1 |
| concepts[17].score | 0.0 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q8513 |
| concepts[17].display_name | Database |
| concepts[18].id | https://openalex.org/C86803240 |
| concepts[18].level | 0 |
| concepts[18].score | 0.0 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q420 |
| concepts[18].display_name | Biology |
| concepts[19].id | https://openalex.org/C127413603 |
| concepts[19].level | 0 |
| concepts[19].score | 0.0 |
| concepts[19].wikidata | https://www.wikidata.org/wiki/Q11023 |
| concepts[19].display_name | Engineering |
| concepts[20].id | https://openalex.org/C78458016 |
| concepts[20].level | 1 |
| concepts[20].score | 0.0 |
| concepts[20].wikidata | https://www.wikidata.org/wiki/Q840400 |
| concepts[20].display_name | Evolutionary biology |
| concepts[21].id | https://openalex.org/C199360897 |
| concepts[21].level | 1 |
| concepts[21].score | 0.0 |
| concepts[21].wikidata | https://www.wikidata.org/wiki/Q9143 |
| concepts[21].display_name | Programming language |
| concepts[22].id | https://openalex.org/C146978453 |
| concepts[22].level | 1 |
| concepts[22].score | 0.0 |
| concepts[22].wikidata | https://www.wikidata.org/wiki/Q3798668 |
| concepts[22].display_name | Aerospace engineering |
| keywords[0].id | https://openalex.org/keywords/iterated-function-system |
| keywords[0].score | 0.7879106402397156 |
| keywords[0].display_name | Iterated function system |
| keywords[1].id | https://openalex.org/keywords/lebesgue-measure |
| keywords[1].score | 0.7372252345085144 |
| keywords[1].display_name | Lebesgue measure |
| keywords[2].id | https://openalex.org/keywords/iterated-function |
| keywords[2].score | 0.6967571973800659 |
| keywords[2].display_name | Iterated function |
| keywords[3].id | https://openalex.org/keywords/mathematics |
| keywords[3].score | 0.6580386161804199 |
| keywords[3].display_name | Mathematics |
| keywords[4].id | https://openalex.org/keywords/measure |
| keywords[4].score | 0.6508411765098572 |
| keywords[4].display_name | Measure (data warehouse) |
| keywords[5].id | https://openalex.org/keywords/hausdorff-measure |
| keywords[5].score | 0.5859209299087524 |
| keywords[5].display_name | Hausdorff measure |
| keywords[6].id | https://openalex.org/keywords/uniqueness |
| keywords[6].score | 0.5757573843002319 |
| keywords[6].display_name | Uniqueness |
| keywords[7].id | https://openalex.org/keywords/function |
| keywords[7].score | 0.5584116578102112 |
| keywords[7].display_name | Function (biology) |
| keywords[8].id | https://openalex.org/keywords/orbit |
| keywords[8].score | 0.527077853679657 |
| keywords[8].display_name | Orbit (dynamics) |
| keywords[9].id | https://openalex.org/keywords/set |
| keywords[9].score | 0.4809831380844116 |
| keywords[9].display_name | Set (abstract data type) |
| keywords[10].id | https://openalex.org/keywords/lebesgue-integration |
| keywords[10].score | 0.4673023223876953 |
| keywords[10].display_name | Lebesgue integration |
| keywords[11].id | https://openalex.org/keywords/hausdorff-dimension |
| keywords[11].score | 0.385032057762146 |
| keywords[11].display_name | Hausdorff dimension |
| keywords[12].id | https://openalex.org/keywords/pure-mathematics |
| keywords[12].score | 0.37034082412719727 |
| keywords[12].display_name | Pure mathematics |
| keywords[13].id | https://openalex.org/keywords/discrete-mathematics |
| keywords[13].score | 0.3258378505706787 |
| keywords[13].display_name | Discrete mathematics |
| keywords[14].id | https://openalex.org/keywords/mathematical-analysis |
| keywords[14].score | 0.29673463106155396 |
| keywords[14].display_name | Mathematical analysis |
| keywords[15].id | https://openalex.org/keywords/computer-science |
| keywords[15].score | 0.18897002935409546 |
| keywords[15].display_name | Computer science |
| keywords[16].id | https://openalex.org/keywords/fractal |
| keywords[16].score | 0.13661152124404907 |
| keywords[16].display_name | Fractal |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2305.01489 |
| 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/2305.01489 |
| 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/2305.01489 |
| locations[1].id | doi:10.48550/arxiv.2305.01489 |
| 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.2305.01489 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5061943510 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-0716-6236 |
| authorships[0].author.display_name | Simon Baker |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Baker, Simon |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5077453606 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-0313-2258 |
| authorships[1].author.display_name | Henna Koivusalo |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | Koivusalo, Henna |
| 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/2305.01489 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Quantitative recurrence and the shrinking target problem for overlapping iterated function systems |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10588 |
| primary_topic.field.id | https://openalex.org/fields/26 |
| primary_topic.field.display_name | Mathematics |
| primary_topic.score | 0.9973000288009644 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2610 |
| primary_topic.subfield.display_name | Mathematical Physics |
| primary_topic.display_name | Mathematical Dynamics and Fractals |
| related_works | https://openalex.org/W2379390434, https://openalex.org/W2370474301, https://openalex.org/W2140982806, https://openalex.org/W2363813782, https://openalex.org/W2368976343, https://openalex.org/W2397516911, https://openalex.org/W2402543099, https://openalex.org/W29316750, https://openalex.org/W4289143703, https://openalex.org/W2059135132 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2305.01489 |
| 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/2305.01489 |
| 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/2305.01489 |
| primary_location.id | pmh:oai:arXiv.org:2305.01489 |
| 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/2305.01489 |
| 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/2305.01489 |
| publication_date | 2023-05-02 |
| publication_year | 2023 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 30, 63, 83, 99, 141 |
| abstract_inverted_index.As | 40 |
| abstract_inverted_index.In | 0, 104 |
| abstract_inverted_index.We | 67 |
| abstract_inverted_index.in | 43, 55 |
| abstract_inverted_index.is | 41, 111, 125 |
| abstract_inverted_index.it | 127 |
| abstract_inverted_index.of | 37, 77, 80, 92, 95, 122 |
| abstract_inverted_index.on | 73, 88 |
| abstract_inverted_index.to | 49, 52, 98, 130 |
| abstract_inverted_index.us | 129 |
| abstract_inverted_index.we | 3, 113 |
| abstract_inverted_index.One | 119 |
| abstract_inverted_index.and | 7, 87 |
| abstract_inverted_index.are | 134 |
| abstract_inverted_index.but | 138 |
| abstract_inverted_index.for | 12 |
| abstract_inverted_index.has | 33, 62 |
| abstract_inverted_index.may | 139 |
| abstract_inverted_index.not | 135 |
| abstract_inverted_index.our | 123 |
| abstract_inverted_index.set | 79, 94 |
| abstract_inverted_index.the | 8, 26, 56, 74, 78, 89, 93, 108 |
| abstract_inverted_index.Such | 21 |
| abstract_inverted_index.also | 114 |
| abstract_inverted_index.from | 16 |
| abstract_inverted_index.have | 25, 140 |
| abstract_inverted_index.more | 142 |
| abstract_inverted_index.sure | 71 |
| abstract_inverted_index.that | 29, 53, 126, 133 |
| abstract_inverted_index.this | 1, 44, 46 |
| abstract_inverted_index.when | 107 |
| abstract_inverted_index.every | 60 |
| abstract_inverted_index.given | 84 |
| abstract_inverted_index.leads | 48 |
| abstract_inverted_index.often | 32 |
| abstract_inverted_index.paper | 2 |
| abstract_inverted_index.point | 31, 61 |
| abstract_inverted_index.prove | 68 |
| abstract_inverted_index.rate, | 86 |
| abstract_inverted_index.study | 4 |
| abstract_inverted_index.where | 59 |
| abstract_inverted_index.zero, | 112 |
| abstract_inverted_index.allows | 128 |
| abstract_inverted_index.almost | 70 |
| abstract_inverted_index.aspect | 121 |
| abstract_inverted_index.balls, | 137 |
| abstract_inverted_index.cases, | 106 |
| abstract_inverted_index.coming | 15 |
| abstract_inverted_index.exotic | 143 |
| abstract_inverted_index.handle | 131 |
| abstract_inverted_index.obtain | 115 |
| abstract_inverted_index.often. | 103 |
| abstract_inverted_index.orbit. | 39, 66 |
| abstract_inverted_index.paper, | 45 |
| abstract_inverted_index.points | 81, 96 |
| abstract_inverted_index.simply | 136 |
| abstract_inverted_index.target | 10, 101 |
| abstract_inverted_index.unique | 64 |
| abstract_inverted_index.bounds. | 118 |
| abstract_inverted_index.certain | 105 |
| abstract_inverted_index.choices | 36 |
| abstract_inverted_index.forward | 38, 65 |
| abstract_inverted_index.measure | 76, 91, 110 |
| abstract_inverted_index.problem | 11 |
| abstract_inverted_index.results | 72 |
| abstract_inverted_index.setting | 58 |
| abstract_inverted_index.several | 34, 69 |
| abstract_inverted_index.systems | 14, 24 |
| abstract_inverted_index.targets | 132 |
| abstract_inverted_index.Lebesgue | 75, 90, 109 |
| abstract_inverted_index.approach | 124 |
| abstract_inverted_index.distinct | 35 |
| abstract_inverted_index.function | 19, 23 |
| abstract_inverted_index.iterated | 18, 22 |
| abstract_inverted_index.observed | 54 |
| abstract_inverted_index.property | 28 |
| abstract_inverted_index.systems. | 20 |
| abstract_inverted_index.Hausdorff | 116 |
| abstract_inverted_index.behaviour | 51 |
| abstract_inverted_index.different | 50 |
| abstract_inverted_index.dimension | 117 |
| abstract_inverted_index.dynamical | 13 |
| abstract_inverted_index.geometry. | 144 |
| abstract_inverted_index.important | 27 |
| abstract_inverted_index.returning | 97 |
| abstract_inverted_index.shrinking | 9, 100 |
| abstract_inverted_index.infinitely | 102 |
| abstract_inverted_index.recurrence | 6, 85 |
| abstract_inverted_index.satisfying | 82 |
| abstract_inverted_index.interesting | 120 |
| abstract_inverted_index.overlapping | 17 |
| abstract_inverted_index.traditional | 57 |
| abstract_inverted_index.demonstrated | 42 |
| abstract_inverted_index.quantitative | 5 |
| abstract_inverted_index.non-uniqueness | 47 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile |