Paper Citation Record · LEDGER

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall

As of 23 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2506.14738.

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pith.paper-citation-record.v1
2506.14738 v1

Coverage vector

measured 45 of 45 reference resolution

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:03:37.911266Z

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A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-01T19:06:03.281965Z

Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation 733ffefa-3bec-4349-b42d-876e89291fee · outbound

This paper cites Free energy and fluctuations in the random normal matrix model with spectral gaps.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Free energy and fluctuations in the random normal matrix model with spectral gaps

Reference 1

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Observation 28072406-2146-4f89-8faa-f8d3c3de03bf · outbound

This paper cites Random normal matrices: eigenvalue correlations near a hard wall.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Random normal matrices: eigenvalue correlations near a hard wall

Reference 2

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Observation fad9475c-f0de-42f4-87aa-914c9b7c2b48 · outbound

This paper cites Advances in Mathematics 441, 109549 (2024) https: //doi.org/10.1016/j.aim.2024.109549 arXiv:2210.13962 27.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Advances in Mathematics 441, 109549 (2024) https: //doi.org/10.1016/j.aim.2024.109549 arXiv:2210.13962 27

Reference 3

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Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Unresolved cited work

Reference 4

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Observation 81e7d624-1930-40e3-81ff-ce8ba63fe559 · outbound

This paper cites Local laws and rigidity for Coulomb gases at any temperature.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Local laws and rigidity for Coulomb gases at any temperature

Reference 5

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Observation 98525a4e-0d99-4bbc-9f00-0b66139e221b · outbound

This paper cites The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem

Reference 6

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Observation dd479886-1982-4604-b8ba-2cfd034520f3 · outbound

This paper cites Around the circular law.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Around the circular law

Reference 7

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Observation d04a5256-4f4b-4870-8529-3012637e39b2 · outbound

This paper cites KIAS Springer Series in Mathematics, vol.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall KIAS Springer Series in Mathematics, vol

Reference 8

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Observation e4522aaf-69b9-419e-9664-9ec36054c311 · outbound

This paper cites Orthogonal polynomials in the spherical ensemble with two insertions.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Orthogonal polynomials in the spherical ensemble with two insertions

Reference 9

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Observation 1b6208fa-5636-4c57-bdaa-b6c34012b1ef · outbound

This paper cites Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges

Reference 10

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Observation 209d919a-fe7b-469e-b155-ec665698e230 · outbound

This paper cites Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials

Reference 11

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Observation 49d4831d-2489-4657-a1d9-b71af595115a · outbound

This paper cites Free energy of spherical Coulomb gases with point charges.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Free energy of spherical Coulomb gases with point charges

Reference 12

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Observation b49613a9-d2a2-4ee5-a537-8a38c3f60cb2 · outbound

This paper cites Large gap probabilities of complex and symplectic spherical ensembles with point charges.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Large gap probabilities of complex and symplectic spherical ensembles with point charges

Reference 13

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Observation 2ed87594-4025-4901-89a2-a0bb8c6a7946 · outbound

This paper cites Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:14:26.036775Z

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Observation 4f9861e7-c13d-40f5-aaba-9fe77f812ef3 · outbound

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Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Unresolved cited work

Reference 15

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Observation a0b5b128-9ab0-41d5-aa52-b9af6ded9335 · outbound

This paper cites Exact and asymptotic features of the edge density profile for the one component plasma in two dimensions.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Exact and asymptotic features of the edge density profile for the one component plasma in two dimensions

Reference 16

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Observation af1bcf48-1b9b-4b3b-879c-70931d82bba5 · outbound

This paper cites Advances in Mathematics 383, 107672 (2021) https: //doi.org/10.1016/j.aim.2021.107672 arXiv:1902.08162.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Advances in Mathematics 383, 107672 (2021) https: //doi.org/10.1016/j.aim.2021.107672 arXiv:1902.08162

Reference 17

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Observation f7f2789a-a789-4676-9c8b-32a8dde2f00f · outbound

This paper cites Hole probabilities and balayage of measures for planar Coulomb gases.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Hole probabilities and balayage of measures for planar Coulomb gases

Reference 18

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Observation feb5a219-8a08-432e-81d5-b884f9002cca · outbound

This paper cites Large gap asymptotics on annuli in the random normal matrix model.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Large gap asymptotics on annuli in the random normal matrix model

Reference 19

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Observation 197a54c7-14bc-4e3c-9d1e-c3ab55946447 · outbound

This paper cites Universality in unitary random matrix ensembles when the soft edge meets the hard edge.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Universality in unitary random matrix ensembles when the soft edge meets the hard edge

Reference 20

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Observation 8c5f89f2-ba6e-43bf-95a7-e1494c3669d5 · outbound

This paper cites Large deviations of radial statistics in the two-dimensional one-component plasma.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Large deviations of radial statistics in the two-dimensional one-component plasma

Reference 21

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Observation 35f3f82a-d570-4028-b02f-ba133d3ba107 · outbound

This paper cites https://dlmf.nist.gov/, Release 1.2.4 of 2025-03-.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall https://dlmf.nist.gov/, Release 1.2.4 of 2025-03-

Reference 22

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Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Unresolved cited work

Reference 23

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Observation e1df2f64-2a46-40e7-9668-5ab508f2bbe9 · outbound

This paper cites One-component plasma on a spherical annulus and a random matrix ensemble.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall One-component plasma on a spherical annulus and a random matrix ensemble

Reference 24

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Observation 272a68df-64d1-449f-806b-cbc780882c4f · outbound

This paper cites PhD thesis, Queen Mary, University of London (January 2013).

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall PhD thesis, Queen Mary, University of London (January 2013)

Reference 25

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Observation 3a79ea6c-4ac9-4e72-85e2-94f7feede14e · outbound

This paper cites Physics Letters A 169(1), 21–24 (1992) https://doi.org/10.1016/0375-9601(92)90798-Q.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Physics Letters A 169(1), 21–24 (1992) https://doi.org/10.1016/0375-9601(92)90798-Q

Reference 26

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Observation 57dc6e59-1d0b-4b2b-89a8-c7b12691477d · outbound

This paper cites Physics Reports301(1), 235–270 (1998) https://doi.org/10.1016/S0370-1573(98)00012-X.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Physics Reports301(1), 235–270 (1998) https://doi.org/10.1016/S0370-1573(98)00012-X

Reference 27

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Observation af2bd108-3359-4fc2-8efe-4209cc3ce37a · outbound

This paper cites Princeton University Press, Princeton (2010).

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Princeton University Press, Princeton (2010)

Reference 28

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This paper cites Journal of Statistical Physics 76(1), 307–329 (1994) https://doi.org/10.1007/ BF02188664.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Journal of Statistical Physics 76(1), 307–329 (1994) https://doi.org/10.1007/ BF02188664

Reference 29

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Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Unresolved cited work

Reference 30

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Observation b4ebf9d0-7896-4931-b7fa-f1e54daf56ed · outbound

This paper cites Laughlin states on higher genus Riemann surfaces.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Laughlin states on higher genus Riemann surfaces

Reference 31

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This paper cites Inventiones mathematicae 210(3), 645–757 (2017) https://doi.org/10.1007/s00222-017-0738-0.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Inventiones mathematicae 210(3), 645–757 (2017) https://doi.org/10.1007/s00222-017-0738-0

Reference 32

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Observation 29220431-7057-4dad-97d5-65610856109d · outbound

This paper cites Rendiconti del Circolo Matematico di Palermo (1884-1940) 54(1), 1–41 (1930) https://doi.org/10.1007/BF03021175.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Rendiconti del Circolo Matematico di Palermo (1884-1940) 54(1), 1–41 (1930) https://doi.org/10.1007/BF03021175

Reference 33

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Observation 3cd5259f-4642-4db5-85c9-883aba6674c3 · outbound

This paper cites Resolvents and Seiberg-Witten representation for Gaussian beta-ensemble.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Resolvents and Seiberg-Witten representation for Gaussian beta-ensemble

Reference 34

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This paper cites Asymptotic expansions for the incomplete gamma function in the transition regions.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Asymptotic expansions for the incomplete gamma function in the transition regions

Reference 35

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Observation 6537dd18-0bd8-4a27-9de9-94aaed190487 · outbound

This paper cites Gaussian Fluctuations and Free Energy Expansion for Coulomb Gases at Any Temperature.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Gaussian Fluctuations and Free Energy Expansion for Coulomb Gases at Any Temperature

Reference 36

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Observation 40182e73-4225-4552-af0c-906d3c20ea90 · outbound

This paper cites Lectures on Coulomb and Riesz gases.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Lectures on Coulomb and Riesz gases

Reference 37

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This paper cites 2D Coulomb Gases and the Renormalized Energy.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall 2D Coulomb Gases and the Renormalized Energy

Reference 38

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Observation 506c4796-5054-4760-bbc2-98d541035d62 · outbound

This paper cites Springer, Heidelberg (1997) 29.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Springer, Heidelberg (1997) 29

Reference 39

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Observation f128ca2c-63d9-4c18-93fb-5a2e359748ab · outbound

This paper cites Journal of Statistical Physics 97(3/4), 489–521 (1999) https://doi.org/10.1023/a:1004654923170 arXiv:cond- mat/9904388.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Journal of Statistical Physics 97(3/4), 489–521 (1999) https://doi.org/10.1023/a:1004654923170 arXiv:cond- mat/9904388

Reference 40

Resolution: verified exact; raw_fallback, observed 2026-08-07T00:14:24.033144Z

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Observation 2176759f-6651-40e2-99a0-c07b2027f900 · outbound

This paper cites Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma

Reference 41

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Observation ac8216ec-97c1-4903-a4f2-63976d409a47 · outbound

This paper cites Mathematische Zeitschrift 53(2), 136–148 (1950) https://doi.org/10.1007/BF01162409.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Mathematische Zeitschrift 53(2), 136–148 (1950) https://doi.org/10.1007/BF01162409

Reference 42

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Observation 7eaede2d-3fb5-49e2-bf93-32810aa46d93 · outbound

This paper cites Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2001).

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2001)

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:14:28.496610Z

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This paper cites In: Br´ ezin, E., Kazakov, V., Serban, D., Wiegmann, P., Zabrodin, A.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall In: Br´ ezin, E., Kazakov, V., Serban, D., Wiegmann, P., Zabrodin, A

Reference 44

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Observation 2da859e2-f916-4fc4-88e6-71a62423d30c · outbound

This paper cites Large N expansion for the 2D Dyson gas.

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall Large N expansion for the 2D Dyson gas

Reference 45

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T00:14:23.540878Z

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Pith citing papers

Observation 91bc33a4-818a-4814-af67-b51bc9533245 · inbound

Smallest gaps of the two-dimensional Coulomb gas cites this paper.

Smallest gaps of the two-dimensional Coulomb gas Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall

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Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge cites this paper.

Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall

Reference 5

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