Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:02:08.245459Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 1 inbound Pith citation observation for arXiv:2412.03997.
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 2026-08-11T22:02:08.245459Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T20:37:39.747038Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-10T20:37:39.908986Z
69 of 69 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation dbc9e99f-9816-4e41-8cba-b2b3032802fb · outbound
Free energy minimizers with radial densities: classification and quantitative stability Ambrosio, N
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60e85712-f053-4180-91c4-6d2ea3c938fe · outbound
Free energy minimizers with radial densities: classification and quantitative stability New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c657a0d2-c848-4cb2-99b9-3e1dd5bbe405 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Equilibrium shapes of cr ystals in a gravitational field: Crystals on a table
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fb05c55a-27ee-4d13-804f-0e60f4215163 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Diffusions hypercontractives
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d77b5d1-b138-478c-aaea-9b4fb746c4bd · outbound
Free energy minimizers with radial densities: classification and quantitative stability Lévy–Gromov’s isoperimetric in equality for an infinite di- mensional diffusion generator
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 91be3404-0ddd-4efa-9919-f8f819556988 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Stability of hypersurface s with constant mean curvature
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 943d0311-c87b-4908-a2c5-96158adfa4fa · outbound
Free energy minimizers with radial densities: classification and quantitative stability Propriétés de concavité du profil isopérimétr ique et applications
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f466f649-6cb8-422a-be28-c9884363b2a7 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A quantitative iso perimetric inequality on the sphere
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation da296e1e-9f60-439b-966d-99202efef81d · outbound
Free energy minimizers with radial densities: classification and quantitative stability A sharp quantita tive isoperimetric in- equality in hyperbolic n-space
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e5f52f7e-19f4-40c0-9016-7d53b0f59f77 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Isoperimetry in sur- faces of revolution with density
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fc4ace88-e264-48b0-9de6-378e78d03b4d · outbound
Free energy minimizers with radial densities: classification and quantitative stability Isoperimetric Regions in Rn with Density rp
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 133e4925-a4cc-4b75-96b7-0b0c9e84b3a7 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2eb22d53-ade8-49d7-abe5-400d86e53a00 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Stabilité isopérimétrique
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e18f0ba3-3796-443c-b28a-e90dc990aae5 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Free boundary stable hypersu rfaces in manifolds with density and rigidity results
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2f444c72-e5cf-4778-9c24-389de4669833 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Proof of the log-convex density conjec ture
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 73566fbc-d3b0-4c91-b6cb-4108c5264712 · outbound
Free energy minimizers with radial densities: classification and quantitative stability The Riemann ian quantitative isoperi- metric inequality
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9a3ba58e-e4f3-4603-95e8-ffa2e6bf79d9 · outbound
Free energy minimizers with radial densities: classification and quantitative stability On the i soperimetric deficit in Gauss space
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 566638e3-f630-4b01-b1ea-d4ef13b87dbc · outbound
Free energy minimizers with radial densities: classification and quantitative stability A selection principle f or the sharp quantitative isoperimetric inequality
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9338e73d-30c0-4540-a338-dc2c0f706326 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Best constants for the i soperimetric inequality in quantitative form
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1ef4db32-f3c1-4a59-b7ea-9dffd8d52500 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Sharp quantitative stability for isoperimetric inequalities with homogeneou s weights
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a3320915-5a43-473d-9f12-5016670b626a · outbound
Free energy minimizers with radial densities: classification and quantitative stability Differential geometry of manifolds with den sity
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d3e062db-7902-499f-b50e-7408f8031888 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A two-point function ap proach to connectedness of drops in convex potentials
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7add7d2d-1713-46df-8575-a20815258b70 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A quantitativ e version of the isoperimetric inequality: the anisotropic case
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bbf9904b-8918-43bf-b908-a5c4e19e86b8 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A sharp stability result for t he relative isoperimetric inequality inside convex cones
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e6c07bc1-fdbb-41d9-acf0-eae10f0d7702 · outbound
Free energy minimizers with radial densities: classification and quantitative stability On the isoperimetric problem f or radial log-convex den- sities
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 89d489ae-ac8f-4134-9f24-198d67655fff · outbound
Free energy minimizers with radial densities: classification and quantitative stability On the shape of liquid drops and crystals in the small mass regime
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0c868f4a-b208-4d2a-875e-416932e2bcf1 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A mass transport ation approach to quantita- tive isoperimetric inequalities
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 15f5728b-02d9-473b-987e-4cec195051d9 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 05d6a1c6-e057-4971-a82f-da2bef8c0681 · outbound
Free energy minimizers with radial densities: classification and quantitative stability The sessile liquid drop. I. Symmetric case
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 695397a1-8933-4376-b19f-a942c3baaa93 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Stability in the isoperimetric problem fo r convex or nearly spherical do- mains in Rn
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 140227cf-c30f-4321-a59e-9c7cd9f35f51 · outbound
Free energy minimizers with radial densities: classification and quantitative stability The quantitative isoperimetric inequality and related topics
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b7f91faf-eec2-43d7-b46d-8fec8cd7e3a3 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A strong form of the quantitative isoperimetric inequality
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c22bd5cb-cfe1-408a-a41f-7823137d8edf · outbound
Free energy minimizers with radial densities: classification and quantitative stability Some weighted isoperimetri c inequalities in quan- titative form
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a8a34fa5-0094-484b-80ca-2aeb7a98b5f9 · outbound
Free energy minimizers with radial densities: classification and quantitative stability The sharp quantita tive isoperimetric inequal- ity
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e756b663-c90b-4de8-9203-2e096fbea40f · outbound
Free energy minimizers with radial densities: classification and quantitative stability Existence and regularity for the problem of a pendent liquid drop
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4dba083b-e7bf-4821-81a4-c8c99217dcae · outbound
Free energy minimizers with radial densities: classification and quantitative stability Isoperimetric inequalities in Riemannian manifolds
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 91af780a-ad3a-4cd9-95d4-6cb5fff4b5ef · outbound
Free energy minimizers with radial densities: classification and quantitative stability A quantitative isoperimetric inequality in n -dimensional space
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f565d358-787c-40c6-b65b-ff8c46511343 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Some theorems on the free energies of cryst al surfaces
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3f32e8b3-c8ac-46e6-aa4b-673501b67891 · outbound
Free energy minimizers with radial densities: classification and quantitative stability The log-convex density conjecture and vertic al surface area in warped products
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4768f7c4-820b-4cd4-b1e6-465b508078da · outbound
Free energy minimizers with radial densities: classification and quantitative stability A weighted relative isoperimetric inequal ity in convex cones
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e6e0ce60-7205-4ca0-bad6-c1aebc50cfdb · outbound
Free energy minimizers with radial densities: classification and quantitative stability On the equilibrium shape of a crystal
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e6ba1a55-265c-43af-8d5b-e3e680049019 · outbound
Free energy minimizers with radial densities: classification and quantitative stability The one-dimensional equilibrium shape of a crystal
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4247f6c1-d651-43d5-b258-a1293c6522c9 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Minimizing the free energy
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc20bf18-97ad-4054-91f9-3512c373f984 · outbound
Free energy minimizers with radial densities: classification and quantitative stability On the isoperimetric nature of a rearrangem ent inequality and its consequences for some variational problems
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 20499b43-e599-48e7-93ae-f72c9fe51eb5 · outbound
Free energy minimizers with radial densities: classification and quantitative stability On isoperimetric se ts of radially symmetric measures
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c38886d0-d211-487e-9b82-d2ef0dbf77a5 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A class of weighted isoperimetric inequ alities in hyperbolic space
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dbbf492b-5824-4a34-800c-939ad2833853 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9af523e7-6add-4c4d-9fd1-88bb573622d5 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bc2e25e7-50d9-4b1a-87b2-27561f52c710 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Stable minimal hypersurfaces in $\mathbb R^6$
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27e80527-8754-4b8f-b435-b7385e81394f · outbound
Free energy minimizers with radial densities: classification and quantitative stability Equilibrium shapes for planar crystals i n an external field
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 477eea70-8163-479d-88cb-22384add76b8 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A weighted isoperimetric inequality on the hyperbolic plane
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8a093251-9f3b-4892-85f3-bb6195288c0b · outbound
Free energy minimizers with radial densities: classification and quantitative stability An isoperimetric inequality in the pl ane with a log-convex density
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d141401e-8f47-4a38-839f-9a3e8492d8bc · outbound
Free energy minimizers with radial densities: classification and quantitative stability Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 70c5c413-05ea-4192-9ff4-30ea8572879f · outbound
Free energy minimizers with radial densities: classification and quantitative stability Manifolds with density
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 49424e0f-1cb9-4243-bf75-d5b666dda01a · outbound
Free energy minimizers with radial densities: classification and quantitative stability Regularity of isoperimetric hypersurface s in Riemannian manifolds
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d549179e-01a7-4a28-9f1b-8623ac131797 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Steiner and Schwarz s ymmetrization in warped products and fiber bundles with density
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2787dab5-3d93-40a1-bc33-40cf5b5457c5 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Existence of isoperimetric regions in Rn with density
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1c26f0de-3924-40a7-838f-987863d4b883 · outbound
Free energy minimizers with radial densities: classification and quantitative stability A strong form of the quantitative Wulff ine quality
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a021dfbf-ed79-448a-a00e-86511bfad07f · outbound
Free energy minimizers with radial densities: classification and quantitative stability Stability of the Wulff shape
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d24a13ac-a6cb-4a77-9a67-261c700e823d · outbound
Free energy minimizers with radial densities: classification and quantitative stability Regularity of free bounda ries in anisotropic capillar- ity problems and the validity of Young’s law
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e1a6e46d-27cc-4c3c-9ece-a3a7f306adb2 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Stable and isoperimetric regions in some w eighted manifolds with boundary
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8052b423-7e77-4561-b939-88da01dffab3 · outbound
Free energy minimizers with radial densities: classification and quantitative stability On the is operimetric problem in Euclidean space with density
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b2f29eda-b8d4-462b-af19-0b554e73dc3a · outbound
Free energy minimizers with radial densities: classification and quantitative stability Locally constrained inverse cur vature flows
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 326d9e78-9089-4ab1-85cf-f75a06f976d7 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Approaching the isoperimetric problem in H C m via the hyperbolic log- convex density conjecture
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 91e97efd-86e6-488d-bd44-a6ff63121b67 · outbound
Free energy minimizers with radial densities: classification and quantitative stability Quantitative C 1-stability of spheres in ra nk one symmetric spaces of non-compact type
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c024524d-fe3f-4ca8-a830-cc84a90f3fcb · outbound
Free energy minimizers with radial densities: classification and quantitative stability Einfache Beweise der isoperimetrischen H auptsätze
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 14d397c4-3112-4af0-93c4-f9c8d26486ff · outbound
Free energy minimizers with radial densities: classification and quantitative stability On the sphericity of liquid droplets
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dcc74a6e-19ee-4b29-bedd-3073dc707421 · outbound
Free energy minimizers with radial densities: classification and quantitative stability The spaces BV and quasilinear equation s
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 70502dc1-6ed0-4e05-8124-531f7a4e1fdd · outbound
Free energy minimizers with radial densities: classification and quantitative stability The symmetry of sessile and pendent drops
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b9322bd9-39fb-4655-babd-04033520be94 · inbound
The one-dimensional equilibrium shape of a crystal Free energy minimizers with radial densities: classification and quantitative stability
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.