Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:24:28.345868Z
Paper Citation Record · LEDGER
How the geometry of cities explains urban scaling laws and determines their exponents
As of 16 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:1908.07470.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
67 of 67 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 13faffc5-0d8d-4d14-8d0a-7b7fab6378ac · outbound
This paper cites With Eqs.
How the geometry of cities explains urban scaling laws and determines their exponents With Eqs
Reference 1
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Observation 3af4e9a3-3885-4649-b709-cf8dc9b5dc26 · outbound
This paper cites (4) We can now estimate the number of interactions.
How the geometry of cities explains urban scaling laws and determines their exponents (4) We can now estimate the number of interactions
Reference 2
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Source-reported events for the cited work
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Observation 0994b4d7-22ed-4bbd-ab6f-f96ce9144705 · outbound
This paper cites Barthelemy, The Structure and Dynamics of Cities: Urban Data Analysis and Theoretical Modeling.
How the geometry of cities explains urban scaling laws and determines their exponents Barthelemy, The Structure and Dynamics of Cities: Urban Data Analysis and Theoretical Modeling
Reference 3
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Observation 46dbbd0c-0dae-45fa-98d4-7c4ffe407704 · outbound
This paper cites (5) Here we used our empirical finding that the fractal dimen- sion of the projected population follows the dimension of the street network, dpp ∼ di; see SI Fig.
How the geometry of cities explains urban scaling laws and determines their exponents (5) Here we used our empirical finding that the fractal dimen- sion of the projected population follows the dimension of the street network, dpp ∼ di; see SI Fig
Reference 4
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Observation ea10d7cb-694e-4973-b741-2a0168af3d0f · outbound
This paper cites Batty, The new science of cities.
How the geometry of cities explains urban scaling laws and determines their exponents Batty, The new science of cities
Reference 5
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Observation 64b8732e-b97b-4c0d-b40a-63b08c3f2ffe · outbound
This paper cites an unresolved cited work.
How the geometry of cities explains urban scaling laws and determines their exponents Unresolved cited work
Reference 6
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Observation cd593a38-4fdc-4960-aaf6-41b9d7e3be70 · outbound
This paper cites Scaling laws in urban supply networks,.
How the geometry of cities explains urban scaling laws and determines their exponents Scaling laws in urban supply networks,
Reference 7
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Source-reported events for the cited work
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Observation 01b4a9f2-a010-4acd-970e-0315f7125165 · outbound
This paper cites The addi- tion rule follows from this derivation.
How the geometry of cities explains urban scaling laws and determines their exponents The addi- tion rule follows from this derivation
Reference 8
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Source-reported events for the cited work
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Observation 44b49724-c21f-46d9-a783-92532be559fb · outbound
This paper cites Scaling laws in urban sys- tems,.
How the geometry of cities explains urban scaling laws and determines their exponents Scaling laws in urban sys- tems,
Reference 9
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Source-reported events for the cited work
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Observation f9a12cfe-1a7b-4928-ae19-7e498debdcac · outbound
This paper cites The scaling of green space coverage in european cities,.
How the geometry of cities explains urban scaling laws and determines their exponents The scaling of green space coverage in european cities,
Reference 10
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Source-reported events for the cited work
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Observation 1e2d6eb9-b6b7-4c48-bab0-5f8f3bbcc9da · outbound
This paper cites Urban scaling and its deviations: Revealing the structure of wealth, innovation and crime across cities,.
How the geometry of cities explains urban scaling laws and determines their exponents Urban scaling and its deviations: Revealing the structure of wealth, innovation and crime across cities,
Reference 11
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Source-reported events for the cited work
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Observation 7c8bcc01-96b2-43f3-9b13-4624356b411c · outbound
This paper cites Optimal design of spa- tial distribution networks,.
How the geometry of cities explains urban scaling laws and determines their exponents Optimal design of spa- tial distribution networks,
Reference 12
- Resolution
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Source-reported events for the cited work
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Observation 5da492fe-7c13-4aa4-a8f9-ad0acdd9f440 · outbound
This paper cites Growth, innovation, scaling, and the pace of life in cities,.
How the geometry of cities explains urban scaling laws and determines their exponents Growth, innovation, scaling, and the pace of life in cities,
Reference 13
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Source-reported events for the cited work
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Observation 92619c05-b39a-4c8a-8354-8e408b362963 · outbound
This paper cites Rich and poor cities in europe. an urban scaling approach to mapping the european eco- nomic transition,.
How the geometry of cities explains urban scaling laws and determines their exponents Rich and poor cities in europe. an urban scaling approach to mapping the european eco- nomic transition,
Reference 14
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Source-reported events for the cited work
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Observation 6d5e10e6-d5dc-4377-af73-e6c9d9989d6f · outbound
This paper cites Invention in the city: Increasing returns to patenting as a scaling function of metropolitan size,.
How the geometry of cities explains urban scaling laws and determines their exponents Invention in the city: Increasing returns to patenting as a scaling function of metropolitan size,
Reference 15
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Source-reported events for the cited work
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Observation f7055bc6-40ae-4250-9632-a125f85c5aee · outbound
This paper cites A tale of many cities: universal patterns in human urban mobility,.
How the geometry of cities explains urban scaling laws and determines their exponents A tale of many cities: universal patterns in human urban mobility,
Reference 16
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Observation 9bb7abc7-2bd2-41ad-af6f-ff6c4dfe26d7 · outbound
This paper cites Cities as organisms: Allometric scaling of urban road networks,.
How the geometry of cities explains urban scaling laws and determines their exponents Cities as organisms: Allometric scaling of urban road networks,
Reference 17
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Observation 43f4a1ce-ee2d-412a-b46c-27949880922a · outbound
This paper cites Is this scaling nonlinear?,.
How the geometry of cities explains urban scaling laws and determines their exponents Is this scaling nonlinear?,
Reference 18
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Source-reported events for the cited work
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Observation 30f8f4e8-f487-4eb8-b9a4-6a8762f37133 · outbound
This paper cites Scaling and Hierarchy in Urban Economies.
How the geometry of cities explains urban scaling laws and determines their exponents Scaling and Hierarchy in Urban Economies
Reference 19
- Resolution
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Source-reported events for the cited work
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Observation 87494783-614f-49b5-beb4-ae5ae8126855 · outbound
This paper cites Constructing cities, deconstructing scaling laws,.
How the geometry of cities explains urban scaling laws and determines their exponents Constructing cities, deconstructing scaling laws,
Reference 20
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Source-reported events for the cited work
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Observation d908fed6-5bef-42d2-a194-72b47ba5f919 · outbound
This paper cites Di- verse cities or the systematic paradox of urban scal- ing laws,.
How the geometry of cities explains urban scaling laws and determines their exponents Di- verse cities or the systematic paradox of urban scal- ing laws,
Reference 21
- Resolution
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Source-reported events for the cited work
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Observation 2f2040ab-0280-4499-9d03-456ad3d007dc · outbound
This paper cites Scaling: lost in the smog,.
How the geometry of cities explains urban scaling laws and determines their exponents Scaling: lost in the smog,
Reference 22
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Source-reported events for the cited work
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Observation 7f225d10-dd9d-4bb5-9145-c5b4152fc862 · outbound
This paper cites A unified theory of urban living,.
How the geometry of cities explains urban scaling laws and determines their exponents A unified theory of urban living,
Reference 23
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Source-reported events for the cited work
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Observation 5f0fcad4-c55a-49a9-8f93-6b17934de9cc · outbound
This paper cites A model of urban scaling laws based on distance de- pendent interactions,.
How the geometry of cities explains urban scaling laws and determines their exponents A model of urban scaling laws based on distance de- pendent interactions,
Reference 24
- Resolution
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Source-reported events for the cited work
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Observation 296642af-a8c9-4de9-a646-96422101d0e5 · outbound
This paper cites Thurner, R.
How the geometry of cities explains urban scaling laws and determines their exponents Thurner, R
Reference 25
- Resolution
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Source-reported events for the cited work
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Observation f8ea6499-af4b-46a4-96a3-56c7a70ce895 · outbound
This paper cites The origins of scaling in cities,.
How the geometry of cities explains urban scaling laws and determines their exponents The origins of scaling in cities,
Reference 26
- Resolution
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Source-reported events for the cited work
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Observation 619a6b26-75bb-481c-b92f-b417c4fa8760 · outbound
This paper cites Su- perlinear scaling for innovation in cities,.
How the geometry of cities explains urban scaling laws and determines their exponents Su- perlinear scaling for innovation in cities,
Reference 27
- Resolution
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Source-reported events for the cited work
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Observation 98763ddd-bad2-43e7-8788-c74186b7a47e · outbound
This paper cites Superlinear and sublinear urban scaling in geographical networks model- ing cities,.
How the geometry of cities explains urban scaling laws and determines their exponents Superlinear and sublinear urban scaling in geographical networks model- ing cities,
Reference 28
- Resolution
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Observation f7664930-b577-4246-b9bb-66cac42c62b4 · outbound
This paper cites An evolutionary theory for interpreting urban scaling laws,.
How the geometry of cities explains urban scaling laws and determines their exponents An evolutionary theory for interpreting urban scaling laws,
Reference 29
- Resolution
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Source-reported events for the cited work
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Observation b2f11f7a-7023-4415-91e6-3b27d23f7dd0 · outbound
This paper cites Multifractal to monofractal evolution of the london street network,.
How the geometry of cities explains urban scaling laws and determines their exponents Multifractal to monofractal evolution of the london street network,
Reference 30
- Resolution
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Observation 2c250544-04d5-4335-bc3b-dbd8ca0bbdae · outbound
This paper cites Batty and P.
How the geometry of cities explains urban scaling laws and determines their exponents Batty and P
Reference 31
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Source-reported events for the cited work
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Observation fdd33311-3e71-4288-8a5e-5ff56dfdc75c · outbound
This paper cites Fractal properties of settlement struc- tures,.
How the geometry of cities explains urban scaling laws and determines their exponents Fractal properties of settlement struc- tures,
Reference 32
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Source-reported events for the cited work
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Observation 2c8cb991-a15a-4254-a255-0de51d06f33f · outbound
This paper cites Aspects fractals des structures ur- baines,.
How the geometry of cities explains urban scaling laws and determines their exponents Aspects fractals des structures ur- baines,
Reference 33
- Resolution
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Source-reported events for the cited work
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Observation 0fa70269-9856-44b2-9d21-5ae080802647 · outbound
This paper cites Urban shapes as fractals,.
How the geometry of cities explains urban scaling laws and determines their exponents Urban shapes as fractals,
Reference 34
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Source-reported events for the cited work
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Observation 721eef13-4e11-4ac8-9801-1f9586f93e91 · outbound
This paper cites Fractal-based description of urban form,.
How the geometry of cities explains urban scaling laws and determines their exponents Fractal-based description of urban form,
Reference 35
- Resolution
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Source-reported events for the cited work
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Observation aff901ae-b981-4c89-9bd2-61ecf5f2806d · outbound
This paper cites Scaling in biology: the con- sequences of size,.
How the geometry of cities explains urban scaling laws and determines their exponents Scaling in biology: the con- sequences of size,
Reference 36
- Resolution
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Source-reported events for the cited work
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Observation f404399c-f322-469a-82b7-7b48f3e2400b · outbound
This paper cites A general model for the origin of allometric scaling laws in biology,.
How the geometry of cities explains urban scaling laws and determines their exponents A general model for the origin of allometric scaling laws in biology,
Reference 37
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Source-reported events for the cited work
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Observation bc5fd026-fc66-4dd3-934a-25d1237c9504 · outbound
This paper cites The fourth dimension of life: fractal geometry and allometric scaling of organisms,.
How the geometry of cities explains urban scaling laws and determines their exponents The fourth dimension of life: fractal geometry and allometric scaling of organisms,
Reference 38
- Resolution
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Source-reported events for the cited work
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Observation 01ed4eac-808b-4939-bdcc-92b33756d41d · outbound
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How the geometry of cities explains urban scaling laws and determines their exponents A general model for ontogenetic growth,
Reference 39
- Resolution
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Source-reported events for the cited work
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Observation 97fdde15-6c96-4539-8253-2a16277c749e · outbound
This paper cites Ur- ban growth and form: scaling, fractal geometry, and diffusion-limited aggregation,.
How the geometry of cities explains urban scaling laws and determines their exponents Ur- ban growth and form: scaling, fractal geometry, and diffusion-limited aggregation,
Reference 40
- Resolution
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Source-reported events for the cited work
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Observation a7e91899-13cd-469d-8b43-31dd7a8a05ba · outbound
This paper cites Batty and P.
How the geometry of cities explains urban scaling laws and determines their exponents Batty and P
Reference 41
- Resolution
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Source-reported events for the cited work
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Observation 81281bfe-83bb-42a6-b2fb-7f00843e9650 · outbound
This paper cites The size, scale, and shape of cities,.
How the geometry of cities explains urban scaling laws and determines their exponents The size, scale, and shape of cities,
Reference 42
- Resolution
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Source-reported events for the cited work
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Observation f98c6c8c-b15b-4211-8776-32c896c51292 · outbound
This paper cites The fractal approach. a new tool for the spatial analysis of urban agglomerations,.
How the geometry of cities explains urban scaling laws and determines their exponents The fractal approach. a new tool for the spatial analysis of urban agglomerations,
Reference 43
- Resolution
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Source-reported events for the cited work
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Observation 71864605-fee8-410a-b0ca-e98ef820f613 · outbound
This paper cites Global human settlement layer. pop- ulation grid, european commission.
How the geometry of cities explains urban scaling laws and determines their exponents Global human settlement layer. pop- ulation grid, european commission
Reference 44
- Resolution
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Source-reported events for the cited work
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Observation 12da1cd3-75a8-4dc5-93d1-dc58a10e58b0 · outbound
This paper cites Planet dump retrieved from https://planet.osm.org.
How the geometry of cities explains urban scaling laws and determines their exponents Planet dump retrieved from https://planet.osm.org
Reference 45
- Resolution
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Source-reported events for the cited work
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Observation e8ab141e-2515-479e-9dd6-355beeb57827 · outbound
This paper cites The scaling of human interactions with city size,.
How the geometry of cities explains urban scaling laws and determines their exponents The scaling of human interactions with city size,
Reference 46
- Resolution
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Source-reported events for the cited work
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Observation eff206e2-ae9b-4a9f-a41e-d0af8aea1946 · outbound
This paper cites Eurostat gdp data at nuts-3 level.
How the geometry of cities explains urban scaling laws and determines their exponents Eurostat gdp data at nuts-3 level
Reference 47
- Resolution
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Source-reported events for the cited work
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Observation 4b4ef278-30f0-477c-a30d-9c0fd0cbc1ac · outbound
This paper cites Urban Skylines: building heights and shapes as measures of city size.
How the geometry of cities explains urban scaling laws and determines their exponents Urban Skylines: building heights and shapes as measures of city size
Reference 48
- Resolution
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Observation 3dd36ed6-6cc9-4f05-a37b-1d10dc9fbfeb · outbound
This paper cites Modeling the polycentric transition of cities,.
How the geometry of cities explains urban scaling laws and determines their exponents Modeling the polycentric transition of cities,
Reference 49
- Resolution
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Source-reported events for the cited work
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Observation d9bafb47-6b8e-4eb7-abcd-4d236c6e4477 · outbound
This paper cites How congestion shapes cities: from mobility patterns to scaling,.
How the geometry of cities explains urban scaling laws and determines their exponents How congestion shapes cities: from mobility patterns to scaling,
Reference 50
- Resolution
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Source-reported events for the cited work
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Observation d8e50358-d035-4bf6-b71d-260bcbf47e39 · outbound
This paper cites Urban scaling in eu- rope,.
How the geometry of cities explains urban scaling laws and determines their exponents Urban scaling in eu- rope,
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.588363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 18a187d7-c2d2-45ee-86ad-8fe2d613f599 · outbound
This paper cites Cities and regions in britain through hierarchical percolation,.
How the geometry of cities explains urban scaling laws and determines their exponents Cities and regions in britain through hierarchical percolation,
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.576090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ae545513-312c-48b4-9298-c160edaa9997 · outbound
This paper cites Stauffer and A.
How the geometry of cities explains urban scaling laws and determines their exponents Stauffer and A
Reference 53
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.563491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6ac6001e-6000-40e9-b27e-16df6aa65251 · outbound
This paper cites Laws of population growth,.
How the geometry of cities explains urban scaling laws and determines their exponents Laws of population growth,
Reference 54
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.552449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c247f943-3d7d-442b-b085-68bff8e0d9d5 · outbound
This paper cites The area and population of cities: New insights from a different perspective on cities,.
How the geometry of cities explains urban scaling laws and determines their exponents The area and population of cities: New insights from a different perspective on cities,
Reference 55
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.540990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6bdfd0d7-a098-430d-8fa2-3ef5aa7c9089 · outbound
This paper cites Falconer, Fractal geometry: mathematical foundations and applications.
How the geometry of cities explains urban scaling laws and determines their exponents Falconer, Fractal geometry: mathematical foundations and applications
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.528532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3912afd7-cb53-47a9-8731-05408e2ec866 · outbound
This paper cites Percolation theory,.
How the geometry of cities explains urban scaling laws and determines their exponents Percolation theory,
Reference 57
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.516584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 24f93046-3773-499a-977d-6563640a4d94 · outbound
This paper cites After all, the variation is numerically very small and even we have done the same in this work for summarisi ng purposes.
How the geometry of cities explains urban scaling laws and determines their exponents After all, the variation is numerically very small and even we have done the same in this work for summarisi ng purposes
Reference 58
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.506096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8b11e932-1c6e-47e4-9a09-5ff808aabf22 · outbound
This paper cites The approach allows us to meaningfully compare cities with each other, and also a cross countries.
How the geometry of cities explains urban scaling laws and determines their exponents The approach allows us to meaningfully compare cities with each other, and also a cross countries
Reference 59
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.495010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f477e4fa-9458-4d9b-90cd-c3e0e712e2c7 · outbound
This paper cites an unresolved cited work.
How the geometry of cities explains urban scaling laws and determines their exponents Unresolved cited work
Reference 60
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:24:28.483159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5ac09bed-7a7a-4dc9-9966-e3f5fdcfc2fb · outbound
This paper cites an unresolved cited work.
How the geometry of cities explains urban scaling laws and determines their exponents Unresolved cited work
Reference 61
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:24:28.472166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b0dd5be-95f2-480b-80e0-d7f586404683 · outbound
This paper cites an unresolved cited work.
How the geometry of cities explains urban scaling laws and determines their exponents Unresolved cited work
Reference 62
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:24:28.460167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e6fecd26-18b3-4f40-836c-d864fc152a39 · outbound
This paper cites an unresolved cited work.
How the geometry of cities explains urban scaling laws and determines their exponents Unresolved cited work
Reference 63
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:24:28.448192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e8a3db5a-018b-4f27-bdab-8b73ebc6aaa7 · outbound
This paper cites an unresolved cited work.
How the geometry of cities explains urban scaling laws and determines their exponents Unresolved cited work
Reference 64
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:24:28.437283Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e99540eb-37f6-42da-ab1b-9e271a92cc6c · outbound
This paper cites 11 how the the average number of levels in cities ⟨h⟩, its projected population ⟨pp⟩ both follow the same behaviour which is characterised by p1−γsub.
How the geometry of cities explains urban scaling laws and determines their exponents 11 how the the average number of levels in cities ⟨h⟩, its projected population ⟨pp⟩ both follow the same behaviour which is characterised by p1−γsub
Reference 65
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.425374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e6f73143-9887-4167-ac1e-3e1488b29863 · outbound
This paper cites important.
How the geometry of cities explains urban scaling laws and determines their exponents important
Reference 66
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.412733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f7a0d408-59fd-4e23-860c-eefc87a86207 · outbound
This paper cites 14 we show the measurement of the relationship between the area and the population.
How the geometry of cities explains urban scaling laws and determines their exponents 14 we show the measurement of the relationship between the area and the population
Reference 67
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:24:28.400807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.