Paper Citation Record · LEDGER

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics

As of 12 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2606.10748.

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pith.paper-citation-record.v1
2606.10748 v1

Coverage vector

measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T11:47:26.834974Z

measured 44 of 44 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

44 of 44 outbound references displayed

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Outbound references

Observation 238540d6-55d9-4743-b6bb-dc0a8ac6d76b · outbound

This paper cites Chapman and Hall/CRC, 2024.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Chapman and Hall/CRC, 2024

Reference 1

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Observation 1ac0e335-d089-421c-824c-ae3603697c02 · outbound

This paper cites Springer Science & Business Media, 2013.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer Science & Business Media, 2013

Reference 2

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Observation 30d80ce4-4a76-4752-bff6-f518362a8572 · outbound

This paper cites Springer, 1998.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer, 1998

Reference 3

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Observation 82fee4fd-3bcc-4c14-8e0f-8bcf2dc0a266 · outbound

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Unresolved cited work

Reference 4

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Observation 36441b7c-3376-4abd-a9a2-7055a5715c04 · outbound

This paper cites SIAM, 2024.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics SIAM, 2024

Reference 5

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Observation 5af5d044-8a53-4ed3-8de9-536b69fb7c69 · outbound

This paper cites Springer Science & Business Media, 2010.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer Science & Business Media, 2010

Reference 6

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Observation fdc01a21-7cf5-404a-b7cd-bdd386bbb552 · outbound

This paper cites A Survey on Uncertainty Quantification in Dynamical Systems.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics A Survey on Uncertainty Quantification in Dynamical Systems

Reference 7

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Observation 4f919798-3eeb-4a2b-84f1-e97621a18faf · outbound

This paper cites Computing invariant sets of random differential equa- tions using polynomial chaos.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Computing invariant sets of random differential equa- tions using polynomial chaos

Reference 8

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Observation a8bb3ebf-7fa7-4a3f-a0d4-e57420c20218 · outbound

This paper cites A posteriori validation of generalized polynomial chaos expansions.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics A posteriori validation of generalized polynomial chaos expansions

Reference 9

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Observation 473626ac-9854-488d-b39c-73e6a81c71a7 · outbound

This paper cites Uncertaintyquantificationofbifurcationsinrandomordinarydifferential equations.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Uncertaintyquantificationofbifurcationsinrandomordinarydifferential equations

Reference 10

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Observation ddfafb70-444e-4a57-9ed0-35690f682f5e · outbound

This paper cites Assessing the impact of parametric uncertainty on tipping points of the Atlantic meridional overturning circulation.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Assessing the impact of parametric uncertainty on tipping points of the Atlantic meridional overturning circulation

Reference 11

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Observation e021ce52-9725-4b00-b35f-6a0c8574a0bb · outbound

This paper cites Uncertainty quantification analysis of bifurcations of the Allen-Cahn equation with random coefficients.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Uncertainty quantification analysis of bifurcations of the Allen-Cahn equation with random coefficients

Reference 12

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Observation 2fd020d2-ebd7-4e1b-82a6-b78a343aafce · outbound

This paper cites An equatorial ocean recharge paradigm for ENSO. Part I: Conceptual model.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics An equatorial ocean recharge paradigm for ENSO. Part I: Conceptual model

Reference 13

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Observation 1d83b3f9-1506-44aa-bd97-3ec9eb7d9fe9 · outbound

This paper cites Graphical representation and stability con- ditions of predator-prey interactions.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Graphical representation and stability con- ditions of predator-prey interactions

Reference 14

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Observation 03960b69-a3d2-49dc-9f8b-579fdcf28f56 · outbound

This paper cites Voltage oscillations in the barnacle giant muscle fiber.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Voltage oscillations in the barnacle giant muscle fiber

Reference 15

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Observation d6c546e7-a9dd-4048-a2f7-5f43a87eed08 · outbound

This paper cites Springer, 1997.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer, 1997

Reference 16

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Reference 17

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Observation 2afe79bb-af83-4381-8820-a2302e358a65 · outbound

This paper cites Les éléments aléatoires de nature quelconque dans un espace distancié.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Les éléments aléatoires de nature quelconque dans un espace distancié

Reference 18

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Observation f416be98-19eb-4c01-a6a4-daeb890f148f · outbound

This paper cites Riemannian center of mass and mollifier smoothing.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Riemannian center of mass and mollifier smoothing

Reference 19

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Observation 1a22eede-7ff4-4ce8-8324-fe5d931f9d96 · outbound

This paper cites Intrinsic statistics on Riemannian manifolds: Basic tools for geometric mea- surements.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Intrinsic statistics on Riemannian manifolds: Basic tools for geometric mea- surements

Reference 20

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This paper cites Largesampletheoryofintrinsicandextrinsicsample means on manifolds.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Largesampletheoryofintrinsicandextrinsicsample means on manifolds

Reference 21

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Observation 0d532bfe-0760-42bd-9c4f-62e5270b8b08 · outbound

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics RiemannianL p center of mass: existence, uniqueness, and convexity

Reference 22

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Observation 9cade930-2065-46b3-a97f-7c75ad7435e0 · outbound

This paper cites Springer, 2005.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer, 2005

Reference 23

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Observation 133b2112-e31f-4f73-bf66-99caff401dd8 · outbound

This paper cites Springer Science & Business Media, 2012.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer Science & Business Media, 2012

Reference 24

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Observation 7f7b9706-d96c-45b3-9c76-b118c976bfaa · outbound

This paper cites Springer, 2008.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer, 2008

Reference 25

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Reference 26

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This paper cites Probability, convexity, and harmonic maps with small image I: uniqueness and fine existence.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Probability, convexity, and harmonic maps with small image I: uniqueness and fine existence

Reference 27

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Observation 22369ca0-cd22-40a0-925b-281e07a8fad2 · outbound

This paper cites Locating Fréchet means with application to shape spaces.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Locating Fréchet means with application to shape spaces

Reference 28

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Observation 600cafc1-f1f6-47df-b143-e7f0849229ec · outbound

This paper cites On expected figures and a strong law of large numbers for random elements in quasi-metric spaces.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics On expected figures and a strong law of large numbers for random elements in quasi-metric spaces

Reference 29

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Springer Science & Business Media, 2010

Reference 30

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Observation 4da993f0-262e-412e-bd01-d3aeaa688e2b · outbound

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Average speed bumps: Four perspectives on averaging speeds

Reference 31

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This paper cites John Wiley & Sons Hoboken, NJ, USA, 2009.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics John Wiley & Sons Hoboken, NJ, USA, 2009

Reference 32

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Reference 33

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Reference 34

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Über Krümmung und Windung geschlossener Raumkurven

Reference 35

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Reference 36

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Observation 89bb4ebc-c5e4-4647-9b9c-d1815e885f7b · outbound

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics John Wiley & Sons, 2009

Reference 37

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Reference 38

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Medoid splits for efficient random forests in metric spaces

Reference 39

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Reference 40

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Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Cambridge University Press, 2001

Reference 41

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Observation 7b10b335-2509-47ca-bd63-8b9b3789a1ee · outbound

This paper cites Largesampletheoryofintrinsicandextrinsicsample means on manifolds—II.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Largesampletheoryofintrinsicandextrinsicsample means on manifolds—II

Reference 42

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Observation b2229244-f825-4652-95f3-8b56cf1c2069 · outbound

This paper cites Sur la moyenne d’un élément aléatoire dans un espace distancié.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics Sur la moyenne d’un élément aléatoire dans un espace distancié

Reference 43

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Observation 760099e4-eabe-4093-8428-4757525079cf · outbound

This paper cites SFB 611, 2003.

Fr\'echet Means of Periodic Orbits in Dynamical Systems: Geometry, Dynamics, and Diagnostics SFB 611, 2003

Reference 44

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