Paper Citation Record · LEDGER

Ancient mean curvature flow asymptotic to Simons cone

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2608.11011.

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2608.11011 v1

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Outbound references

Observation b9919cdd-9e7b-4797-a4b6-1309d4d1831a · outbound

This paper cites Unique asymptotics of ancient convex mean curvature flow solutions.

Ancient mean curvature flow asymptotic to Simons cone Unique asymptotics of ancient convex mean curvature flow solutions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:32.039516Z

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Observation 3d139c1f-eaf1-4972-9c50-9e2fea652eeb · outbound

This paper cites Uniqueness of two-convex closed ancient solutions to the mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Uniqueness of two-convex closed ancient solutions to the mean curvature flow

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:32.030259Z

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Observation 76a6238a-3b4d-4175-8da1-dc648fd7e17c · outbound

This paper cites Bamler and Yi Lai.Classification of ancient cylindrical mean curvature flows and the Mean Convex Neighborhood Conjecture.

Ancient mean curvature flow asymptotic to Simons cone Bamler and Yi Lai.Classification of ancient cylindrical mean curvature flows and the Mean Convex Neighborhood Conjecture

Reference 3

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Observation 9b3948cb-407f-4da6-a964-5ea6a430d330 · outbound

This paper cites The PDE-ODI principle and cylindrical mean curvature flows.

Ancient mean curvature flow asymptotic to Simons cone The PDE-ODI principle and cylindrical mean curvature flows

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T12:23:28.925308Z

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Observation 6dc295f2-8a2a-496d-a0e4-c2965a03b65a · outbound

This paper cites Lower bounds on density for topologically nontrivial minimal cones up to dimension six.

Ancient mean curvature flow asymptotic to Simons cone Lower bounds on density for topologically nontrivial minimal cones up to dimension six

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:32.021429Z

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Observation bae0023c-5469-4f9f-90ab-34408ee7d3dd · outbound

This paper cites Collapsing ancient solutions of mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Collapsing ancient solutions of mean curvature flow

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.940071Z

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Observation 6f91fa41-2476-43be-ac78-c4eadf4b0404 · outbound

This paper cites Convex ancient solutions to curve shortening flow.

Ancient mean curvature flow asymptotic to Simons cone Convex ancient solutions to curve shortening flow

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.843460Z

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Observation 7d5d0c63-38ef-447b-b422-8bcc701d87e2 · outbound

This paper cites Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions.

Ancient mean curvature flow asymptotic to Simons cone Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T12:23:29.001100Z

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Observation c7b696e6-049f-41d1-89a1-b930bb686595 · outbound

This paper cites Mean curvature flow with generic initial data II.

Ancient mean curvature flow asymptotic to Simons cone Mean curvature flow with generic initial data II

Reference 9

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Observation 6c526b0c-e45a-4cbe-9650-30800c5940ed · outbound

This paper cites Mean curvature flow with generic initial data.

Ancient mean curvature flow asymptotic to Simons cone Mean curvature flow with generic initial data

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.709398Z

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Observation 0c683633-f168-4e82-8613-1c9517662863 · outbound

This paper cites Classification of bubble-sheet ovals inR 4.

Ancient mean curvature flow asymptotic to Simons cone Classification of bubble-sheet ovals inR 4

Reference 11

Resolution: verified exact; doi, observed 2026-08-12T12:23:29.928374Z

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Observation ff983c93-3023-4792-be3a-93f8bf02333e · outbound

This paper cites Classification of ancient noncollapsed flows in $\mathbb{R}^4$.

Ancient mean curvature flow asymptotic to Simons cone Classification of ancient noncollapsed flows in $\mathbb{R}^4$

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T12:23:29.151011Z

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Observation c8f197f7-6ccb-4279-b4dd-2307c936fc0f · outbound

This paper cites Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness.

Ancient mean curvature flow asymptotic to Simons cone Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.665962Z

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Observation 5a9b48d1-9920-44d2-b3f4-106abfe68126 · outbound

This paper cites A nonexistence result for rotating mean curvature flows in $\mathbb{R}^{4}$.

Ancient mean curvature flow asymptotic to Simons cone A nonexistence result for rotating mean curvature flows in $\mathbb{R}^{4}$

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-12T12:23:30.723828Z

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Observation 0266219c-775d-4c9a-b6a9-c1de32669ada · outbound

This paper cites Ancient asymptotically cylindrical flows and applications.

Ancient mean curvature flow asymptotic to Simons cone Ancient asymptotically cylindrical flows and applications

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.655820Z

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Observation 7fddc2e1-5e3f-4a9e-8e9f-8b349b78bf3a · outbound

This paper cites Classification of ancient finite-entropy curve shortening flows.

Ancient mean curvature flow asymptotic to Simons cone Classification of ancient finite-entropy curve shortening flows

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-12T12:23:30.681799Z

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Observation db09922b-7220-473a-aa22-2e3295952771 · outbound

This paper cites Stability of translating solutions to mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Stability of translating solutions to mean curvature flow

Reference 17

Resolution: verified exact; doi, observed 2026-08-12T12:23:29.897454Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1a509714-abc9-4b90-98b9-baa697960aae · outbound

This paper cites Generic mean curvature flow I; Generic singularities.

Ancient mean curvature flow asymptotic to Simons cone Generic mean curvature flow I; Generic singularities

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T12:23:29.424382Z

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Observation 4c49bc1b-8791-4615-b957-9306cd2eb645 · outbound

This paper cites Classification of compact ancient solutions to the curve shortening flow.

Ancient mean curvature flow asymptotic to Simons cone Classification of compact ancient solutions to the curve shortening flow

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.645544Z

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Observation 7cb17542-b668-4280-b89b-d070e6178091 · outbound

This paper cites Spectral quantization for ancient asymptotically cylindrical flows.

Ancient mean curvature flow asymptotic to Simons cone Spectral quantization for ancient asymptotically cylindrical flows

Reference 20

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Observation dfe65018-900a-48da-b199-d090be80be9b · outbound

This paper cites Interior estimates for hypersurfaces moving by mean curva- ture.

Ancient mean curvature flow asymptotic to Simons cone Interior estimates for hypersurfaces moving by mean curva- ture

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.636492Z

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Observation a17e0212-3861-4ecb-8709-156659bb6450 · outbound

This paper cites Regularity of minimal surfaces near quadratic cones.

Ancient mean curvature flow asymptotic to Simons cone Regularity of minimal surfaces near quadratic cones

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.628002Z

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Observation 6e756bf0-ef47-4e5d-a8a2-4cc1564fba4b · outbound

This paper cites Analysis of Vel´ azquez’s solution to the mean curvature flow with a type II singularity.

Ancient mean curvature flow asymptotic to Simons cone Analysis of Vel´ azquez’s solution to the mean curvature flow with a type II singularity

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.606421Z

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Observation 3375f598-9653-48d6-8a46-f439926b987d · outbound

This paper cites Area minimizing hypersurfaces with isolated singularities.

Ancient mean curvature flow asymptotic to Simons cone Area minimizing hypersurfaces with isolated singularities

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.588290Z

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Observation a547146d-80ae-4606-9fa2-424fec4b173a · outbound

This paper cites Mean curvature flow through singularities.

Ancient mean curvature flow asymptotic to Simons cone Mean curvature flow through singularities

Reference 25

Resolution: verified exact; raw_fallback, observed 2026-08-12T12:23:30.402658Z

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Observation 2e764b24-0973-4f2a-9cfd-dd0530a2cba2 · outbound

This paper cites Uniqueness of the bowl soliton.

Ancient mean curvature flow asymptotic to Simons cone Uniqueness of the bowl soliton

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.551679Z

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Observation eb4f5caa-ba48-419e-bf32-5b67b6453859 · outbound

This paper cites Ancient solutions of the mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Ancient solutions of the mean curvature flow

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.418033Z

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Observation 86964463-922a-4789-8d1b-9a4bc398d255 · outbound

This paper cites Translators asymptotic to cylinders.

Ancient mean curvature flow asymptotic to Simons cone Translators asymptotic to cylinders

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.293424Z

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Observation b7b10802-8e2f-4e26-b861-2a4d9634a50d · outbound

This paper cites Mean curvature flow converging to an minimizing cone and its Hardt-Simon foliation.

Ancient mean curvature flow asymptotic to Simons cone Mean curvature flow converging to an minimizing cone and its Hardt-Simon foliation

Reference 29

Resolution: verified exact; raw_fallback, observed 2026-08-12T12:23:30.329629Z

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Observation 9d6260f4-66e5-4495-928b-b25325c8c771 · outbound

This paper cites Asymptotic behavior for singularities of the mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Asymptotic behavior for singularities of the mean curvature flow

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.232584Z

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Observation 42061983-9960-447c-b8e5-1dae62baac8f · outbound

This paper cites Convex ancient solutions of the mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Convex ancient solutions of the mean curvature flow

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.221156Z

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Observation 10b6115c-9f9e-4b91-823e-310c65887276 · outbound

This paper cites On short time existence for the planar network flow.

Ancient mean curvature flow asymptotic to Simons cone On short time existence for the planar network flow

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.210658Z

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Observation ec6eeedd-d39f-4f80-bcfe-03fa28bf8ac0 · outbound

This paper cites Self-shrinkers with a rotational symmetry.

Ancient mean curvature flow asymptotic to Simons cone Self-shrinkers with a rotational symmetry

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.183431Z

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Observation e581efe2-3c8b-44bb-923d-83b3e9471be9 · outbound

This paper cites Ancient solutions in Lagrangian mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Ancient solutions in Lagrangian mean curvature flow

Reference 34

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Observation c656cf4e-1d8c-4015-b0da-474d362458ae · outbound

This paper cites Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions.

Ancient mean curvature flow asymptotic to Simons cone Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.165322Z

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Observation 1f6cb0a3-94f9-4719-9868-57ae8853b915 · outbound

This paper cites Ancient solutions and translators of Lagrangian mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone Ancient solutions and translators of Lagrangian mean curvature flow

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.152459Z

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Observation 75389e3f-7ef9-4e85-a8b2-1638c17230d7 · outbound

This paper cites Minimal hypersurfaces asymptotic to Simons cones.

Ancient mean curvature flow asymptotic to Simons cone Minimal hypersurfaces asymptotic to Simons cones

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-12T12:23:30.074989Z

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Observation 86bb1bd7-cbcd-4c84-988a-e830eca60500 · outbound

This paper cites Optimal estimates for blowup rate and behavior for nonlinear heat equations.

Ancient mean curvature flow asymptotic to Simons cone Optimal estimates for blowup rate and behavior for nonlinear heat equations

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:31.065761Z

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Observation 32031fcc-688d-4ed3-a0ae-ad118277f756 · outbound

This paper cites An introduction to Brakke flows.

Ancient mean curvature flow asymptotic to Simons cone An introduction to Brakke flows

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:30.929671Z

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Observation 8895727f-aaab-405a-8625-61d3763581a8 · outbound

This paper cites Minimal hypersurfaces asymptotic to quadratic cones in R n+ 1.

Ancient mean curvature flow asymptotic to Simons cone Minimal hypersurfaces asymptotic to quadratic cones in R n+ 1

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:30.917947Z

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Observation ef37688b-6def-4fde-9a4c-091139d2b853 · outbound

This paper cites Existence of mean curvature flow singularities with bounded mean curvature.

Ancient mean curvature flow asymptotic to Simons cone Existence of mean curvature flow singularities with bounded mean curvature

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:30.906637Z

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Observation 4818aca8-91be-4b28-b3d4-1c9bd4bc382f · outbound

This paper cites A local regularity theorem for mean curvature flow.

Ancient mean curvature flow asymptotic to Simons cone A local regularity theorem for mean curvature flow

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:23:30.896020Z

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