Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:05:43.283640Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 1 inbound Pith citation observation for arXiv:1908.03944.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:05:43.283640Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:21:23.902432Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T14:21:24.059354Z
79 of 79 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4d70062f-0b79-4fb9-8e83-4a8e7a94014a · outbound
On the parabolic and hyperbolic Liouville equations The elliptic stochastic quantization of some two dimensional Euclidean QFTs
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 510eec4f-4f5f-4673-9097-101c50460e7a · outbound
On the parabolic and hyperbolic Liouville equations Albeverio, R
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c8668877-f049-472c-a707-0f71978b9254 · outbound
On the parabolic and hyperbolic Liouville equations Albeverio, H
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 27356fab-cfda-466a-a346-535bc82683bd · outbound
On the parabolic and hyperbolic Liouville equations Albeverio, M
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 496b52d0-c2ce-4de4-b9be-a1469087555b · outbound
On the parabolic and hyperbolic Liouville equations Aronszajn, K
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7e5e393f-3d3b-4f4d-b35f-2427084cce23 · outbound
On the parabolic and hyperbolic Liouville equations Aubin, Un th´ eor` eme de compacit´ e,C
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1830d7a6-1338-4e68-9693-afcd86af3a33 · outbound
On the parabolic and hyperbolic Liouville equations Bacry, J
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6dd3efab-0485-47c3-b763-d8d62292f61c · outbound
On the parabolic and hyperbolic Liouville equations Bennett, A
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3cc93972-58df-486f-b6d9-13c021f4bc02 · outbound
On the parabolic and hyperbolic Liouville equations Bourgain, Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f1b57dec-8650-46f6-9e93-10a61dda333b · outbound
On the parabolic and hyperbolic Liouville equations Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr¨ o dinger equation , Comm
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e05fb44a-19f0-4189-a4e6-33c52d30fd63 · outbound
On the parabolic and hyperbolic Liouville equations Bourgain, Invariant measures for NLS in infinite volume, Comm
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 36ce83c1-8beb-49ef-b3ef-3815ea9fce96 · outbound
On the parabolic and hyperbolic Liouville equations Bourgain, A
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 88f9b057-3793-4d68-a281-0a1ab91c85f8 · outbound
On the parabolic and hyperbolic Liouville equations Brascamp, E
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 53c14eab-1ddf-417d-a153-f52ca882a7d2 · outbound
On the parabolic and hyperbolic Liouville equations Brascamp, E
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b34438e1-74e1-410a-9f5b-a1c91a594736 · outbound
On the parabolic and hyperbolic Liouville equations Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity II: Dynamics
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f8175e26-63bc-43c8-9867-fdd3b46e9cdd · outbound
On the parabolic and hyperbolic Liouville equations Brydges, G
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f61f02a4-215c-4f4a-9f87-7746cc68192b · outbound
On the parabolic and hyperbolic Liouville equations Catellier, K
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 38387d86-ff36-4b6d-a967-c895a8f581b6 · outbound
On the parabolic and hyperbolic Liouville equations Christ, M
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8c34a361-ad6f-485e-8c59-729e0c51c724 · outbound
On the parabolic and hyperbolic Liouville equations The dynamical sine-Gordon model in the full subcritical regime
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d6a4709-c89e-4baa-b03c-e192a069f793 · outbound
On the parabolic and hyperbolic Liouville equations Da Prato, A
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 831f71b2-8085-4efc-bba0-08a145affe96 · outbound
On the parabolic and hyperbolic Liouville equations David, A
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 86f08019-59c5-45da-99d2-96d3fe86517b · outbound
On the parabolic and hyperbolic Liouville equations David, R
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7bf251f0-ac18-4e4f-9e6f-e9541f767d74 · outbound
On the parabolic and hyperbolic Liouville equations Deya, A nonlinear wave equation with fractional perturbation , Ann
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8c98b28e-7312-494e-a315-5791ae700fd0 · outbound
On the parabolic and hyperbolic Liouville equations Deya, On a non-linear 2D fractional wave equation , Ann
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd4da238-cec7-44d4-bf35-8e46912f82a1 · outbound
On the parabolic and hyperbolic Liouville equations Stochastic Ricci Flow on Compact Surfaces
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2f20d1bb-9533-4b0e-9f61-f5ef98704b72 · outbound
On the parabolic and hyperbolic Liouville equations Duplantier, S
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f574fac4-77f6-4fae-84eb-a6ad48d658df · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 63b34126-dfd1-4a08-b979-bae08bf1c304 · outbound
On the parabolic and hyperbolic Liouville equations Evans, Partial differential equations, Second edition
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c21a72dd-8ab6-48a2-8cd4-0c5d5badae1e · outbound
On the parabolic and hyperbolic Liouville equations Folland, Real analysis
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 642b8c7d-c60a-4afa-bfe4-b9e5de76983f · outbound
On the parabolic and hyperbolic Liouville equations Garban, Dynamical Liouville , J
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation aa6a06d0-214f-4153-ad67-2de1b4e4f30f · outbound
On the parabolic and hyperbolic Liouville equations Gatto, Product rule and chain rule estimates for fractional deriva tives on spaces that satisfy the doubling condition , J
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bc135bb-70a8-46fc-b597-6b4b4c88fa9d · outbound
On the parabolic and hyperbolic Liouville equations Ginibre, G
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3c950999-050e-464a-9520-61541a2a74cc · outbound
On the parabolic and hyperbolic Liouville equations Grafakos, Classical Fourier analysis , Third edition
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9188b1c-705b-414a-99e5-c29c39ef85b8 · outbound
On the parabolic and hyperbolic Liouville equations Gubinelli, P
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99fc8459-1a8e-4639-89f9-9bf891a9e834 · outbound
On the parabolic and hyperbolic Liouville equations Gubinelli, H
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2659f262-b3b4-4429-80d1-384e87ce9973 · outbound
On the parabolic and hyperbolic Liouville equations Gubinelli, H
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 584327a4-db06-42de-a8f7-4b2c472d8ee5 · outbound
On the parabolic and hyperbolic Liouville equations Gubinelli, H
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5eeafc20-e64b-4ab0-811d-6152dfcff205 · outbound
On the parabolic and hyperbolic Liouville equations Hairer, Solving the KPZ equation , Ann
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7df1d818-1307-47f8-8603-11622f2ca29c · outbound
On the parabolic and hyperbolic Liouville equations Hairer, A theory of regularity structures, Invent
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce6d53a3-0ec0-44c6-b476-9818fcfe80c6 · outbound
On the parabolic and hyperbolic Liouville equations Hairer, K
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d727b265-c147-47ea-8829-6ca2e8467ace · outbound
On the parabolic and hyperbolic Liouville equations Hairer, M.D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a05ca147-a765-40fa-946a-7530cc9c3654 · outbound
On the parabolic and hyperbolic Liouville equations Hairer, H
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71d5919b-5bc4-4e31-a73a-9dd99cab94a4 · outbound
On the parabolic and hyperbolic Liouville equations Høegh-Krohn, A general class of quantum fields without cut-offs in two space- time dimensions, Comm
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 45cab648-9f0b-484a-827e-90287e8f4a00 · outbound
On the parabolic and hyperbolic Liouville equations Hoshino, H
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3d293a43-c11d-4075-b312-d9c569a5f5a0 · outbound
On the parabolic and hyperbolic Liouville equations Stochastic quantization associated with the $\exp(\Phi)_2$-quantum field model driven by space-time white noise on the torus in the full $L^1$-regime
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1c5ec0de-644a-49c8-bb32-fd535353db43 · outbound
On the parabolic and hyperbolic Liouville equations Kahane, Sur le chaos multiplicatif, Ann
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9bbeab31-4370-4d36-8891-45641726d04e · outbound
On the parabolic and hyperbolic Liouville equations Kato, On nonlinear Schr¨ odinger equations
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c817dac6-2bc6-4b86-b524-ae8b96471f8d · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0cec3277-f844-4b1b-a4a7-dc7c0e339c08 · outbound
On the parabolic and hyperbolic Liouville equations Kupiainen, Renormalization group and stochastic PDEs, Ann
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 37927ae6-971f-4e1d-9c6d-68eaebef3a03 · outbound
On the parabolic and hyperbolic Liouville equations Lacoin, R
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 72a5af70-7e45-48d2-b3e8-ad40fd2d2eaa · outbound
On the parabolic and hyperbolic Liouville equations Lebowitz, H
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1ecf1a97-c1cd-4142-a9fd-0e1b405ec7bb · outbound
On the parabolic and hyperbolic Liouville equations Lieb, Gaussian kernels have only Gaussian maximizers, Invent
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b96fc67d-aa10-4f7a-883d-2ef5f4c76917 · outbound
On the parabolic and hyperbolic Liouville equations Lindblad, C
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d9eac0d0-8837-44c7-afe8-92edfc99065a · outbound
On the parabolic and hyperbolic Liouville equations McKean, Statistical mechanics of nonlinear wave equations
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 79810090-b2c5-481f-8f90-ed51b9ea735e · outbound
On the parabolic and hyperbolic Liouville equations Mourrat, H
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c26ea338-ac0e-468b-b088-fb74664897b6 · outbound
On the parabolic and hyperbolic Liouville equations Mourrat, H
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1d36afea-9284-403b-9b45-5d57c9b0967f · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 140d4aaa-ba16-4cd4-b582-86e0157e48c2 · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e0f88b93-e164-4281-92aa-3c4afa87ebf8 · outbound
On the parabolic and hyperbolic Liouville equations Focusing $\Phi^4_3$-model with a Hartree-type nonlinearity
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7dfde81a-56af-4759-b746-d4361e691902 · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 57cb4feb-5abd-4c16-bec7-4b79f7b15da2 · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8092f7b7-8719-4d64-af60-c5828aeba347 · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 424e8830-ebb9-4e35-99c2-02b4eb53c380 · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cb8e9464-bff3-47f4-a2db-9bd6ccf9190c · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a4b81d40-24bd-4af1-9e98-c888b5aa3413 · outbound
On the parabolic and hyperbolic Liouville equations Stochastic nonlinear wave dynamics on compact surfaces
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 88b47420-0742-4cdb-bcde-03bb259bef6a · outbound
On the parabolic and hyperbolic Liouville equations Stochastic quantization of Liouville conformal field theory
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f41a3e0c-1488-4f8b-b180-80cc7072186b · outbound
On the parabolic and hyperbolic Liouville equations A remark on Gibbs measures with log-correlated Gaussian fields
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 76595d0a-e71b-45ea-9004-6e9db471b9ee · outbound
On the parabolic and hyperbolic Liouville equations Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9ab9f69b-3fc1-4181-89f9-fb2d97153448 · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 55258521-0ec5-4367-a6bc-733bb053e55e · outbound
On the parabolic and hyperbolic Liouville equations Parisi, Y.S
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 762fc8fc-c195-4bbb-9664-326ead12e9cb · outbound
On the parabolic and hyperbolic Liouville equations Rhodes, V
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cca90e04-e1af-4b7f-b87f-2ca3c490e668 · outbound
On the parabolic and hyperbolic Liouville equations Robert, V
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 67a9758e-0c5c-428f-a813-6a264bff563b · outbound
On the parabolic and hyperbolic Liouville equations Invariant Gibbs measure for a Schrodinger equation with exponential nonlinearity
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 39d33cc0-1c32-4408-a8cd-0fc1cab53019 · outbound
On the parabolic and hyperbolic Liouville equations Ryang, T
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6424207b-8b75-490a-b58c-802551471806 · outbound
On the parabolic and hyperbolic Liouville equations Simon, Compact sets in the space Lp(0,T ;B), Ann
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 52f9b7a0-1eb2-4d27-9681-dbdcf7a7fc21 · outbound
On the parabolic and hyperbolic Liouville equations Staffilani, The initial value problem for some dispersive differential eq uations, Thesis (Ph.D.) – The University of Chicago
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01d3aad1-f131-4eee-b681-9529e71504b2 · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ee93a8b3-3e26-472a-98c6-7e8732c19dd2 · outbound
On the parabolic and hyperbolic Liouville equations Taylor, Tools for PDE, Pseudodifferential operators, paradifferential operator s, and layer potentials
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 639c27f3-0948-4ce4-87d2-51b1ee08418c · outbound
On the parabolic and hyperbolic Liouville equations Unresolved cited work
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 06eb52fe-e691-42e9-af07-44d0998a427f · inbound
Comparing the stochastic nonlinear wave and heat equations: a case study On the parabolic and hyperbolic Liouville equations
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.