Paper Citation Record · LEDGER

Semi-discrete convex order and Laguerre tessellation fitting

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2606.29913.

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pith.paper-citation-record.v1
2606.29913 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-30T05:33:59.018587Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 09a2a952-9ae3-42f4-bf49-d3a834f2d6de · outbound

This paper cites Kadets-type theorems for partitions of a convex body.

Semi-discrete convex order and Laguerre tessellation fitting Kadets-type theorems for partitions of a convex body

Reference 1

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Observation a3cf7e44-54c9-45f8-b731-3697d572eead · outbound

This paper cites an unresolved cited work.

Semi-discrete convex order and Laguerre tessellation fitting Unresolved cited work

Reference 2

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Observation 86dd7c60-1b31-49e5-8415-b545614c3003 · outbound

This paper cites Sampling of probability measures in the convex order by Wasserstein projection.Annales de l’Institut Henri Poincar´ e - Probabilit´ es et Statistiques, 56(3):1706–1729, 2020.

Semi-discrete convex order and Laguerre tessellation fitting Sampling of probability measures in the convex order by Wasserstein projection.Annales de l’Institut Henri Poincar´ e - Probabilit´ es et Statistiques, 56(3):1706–1729, 2020

Reference 3

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Observation 4f3597b9-42d7-4e8d-9583-cb69c54395b2 · outbound

This paper cites A criterion for the affine equivalence of cell complexes inR d and convex polyhedra inR d+1.Discrete & Computational Geometry, 2(1):49–64, 1987.

Semi-discrete convex order and Laguerre tessellation fitting A criterion for the affine equivalence of cell complexes inR d and convex polyhedra inR d+1.Discrete & Computational Geometry, 2(1):49–64, 1987

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 427aa0a4-e4de-4746-b9e7-6807d8d27796 · outbound

This paper cites Power diagrams: properties, algorithms and applications.SIAM Journal on Computing, 16(1):78–96, 1987.

Semi-discrete convex order and Laguerre tessellation fitting Power diagrams: properties, algorithms and applications.SIAM Journal on Computing, 16(1):78–96, 1987

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 24cf0c7b-bb28-481f-8e12-7150f2eb0d59 · outbound

This paper cites Minkowski-type theorems and least- squares clustering.Algorithmica, 20(1):61–76, 1998.

Semi-discrete convex order and Laguerre tessellation fitting Minkowski-type theorems and least- squares clustering.Algorithmica, 20(1):61–76, 1998

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 8b7cbb3a-4ed3-42a7-8aa8-4261b2b17cbd · outbound

This paper cites Bauschke and Walaa M.

Semi-discrete convex order and Laguerre tessellation fitting Bauschke and Walaa M

Reference 7

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Observation a2ccfb35-1eeb-4d17-8853-f4c2b7cdf4b7 · outbound

This paper cites SIAM, 2017.

Semi-discrete convex order and Laguerre tessellation fitting SIAM, 2017

Reference 8

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Observation b7ab6f52-2294-46b2-973e-0316420455fd · outbound

This paper cites an unresolved cited work.

Semi-discrete convex order and Laguerre tessellation fitting Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 60b2eac1-bf3a-4516-aa34-1ae7a556f6c5 · outbound

This paper cites Generalized Voronoi tessellation as a model of two-dimensional cell tissue dynamics.Bulletin of Mathematical Biology, 72:1696–1731, 2010.

Semi-discrete convex order and Laguerre tessellation fitting Generalized Voronoi tessellation as a model of two-dimensional cell tissue dynamics.Bulletin of Mathematical Biology, 72:1696–1731, 2010

Reference 10

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Observation dd20a955-ac18-45af-ad5a-f78d1a1b678c · outbound

This paper cites Bourne, Piet J.

Semi-discrete convex order and Laguerre tessellation fitting Bourne, Piet J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 6b623b63-6210-45e3-b24f-c6bd0c9d53df · outbound

This paper cites Bourne, Mason Pearce, and Steven M.

Semi-discrete convex order and Laguerre tessellation fitting Bourne, Mason Pearce, and Steven M

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation a8ebc4b5-f2b8-4840-9e39-eca28d445e55 · outbound

This paper cites Bourne and Steven M.

Semi-discrete convex order and Laguerre tessellation fitting Bourne and Steven M

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation d689766c-2dc4-4b94-ae49-7ecf3f70ecd4 · outbound

This paper cites On optimal weighted balanced clusterings: Gravity bodies and power diagrams.SIAM Journal on Discrete Mathematics, 26(2):415–434, 2012.

Semi-discrete convex order and Laguerre tessellation fitting On optimal weighted balanced clusterings: Gravity bodies and power diagrams.SIAM Journal on Discrete Mathematics, 26(2):415–434, 2012

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation a8d5615f-c3ed-40a0-b2b3-738835692b91 · outbound

This paper cites Constrained clustering via diagrams: A unified theory and its application to electoral district design.European Journal of Operational Research, 263(1):18–34, 2017.

Semi-discrete convex order and Laguerre tessellation fitting Constrained clustering via diagrams: A unified theory and its application to electoral district design.European Journal of Operational Research, 263(1):18–34, 2017

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation cf8195ae-7706-4612-9e66-2f71ec48e30c · outbound

This paper cites Convex optimization: Algorithms and complexity.Foundations and Trends® in Machine Learning, 8(3-4):231–357, 2015.

Semi-discrete convex order and Laguerre tessellation fitting Convex optimization: Algorithms and complexity.Foundations and Trends® in Machine Learning, 8(3-4):231–357, 2015

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation a42df37c-38b3-40bc-a8f0-b810e0ceddad · outbound

This paper cites an unresolved cited work.

Semi-discrete convex order and Laguerre tessellation fitting Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation c6292695-50d5-46eb-9bf0-404161c6510d · outbound

This paper cites Optimal transport and the geometry ofL 1(Rd).Pro- ceedings of the American Mathematical Society, 142(10):3585–3596, 2014.

Semi-discrete convex order and Laguerre tessellation fitting Optimal transport and the geometry ofL 1(Rd).Pro- ceedings of the American Mathematical Society, 142(10):3585–3596, 2014

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 548618cb-60e3-4cab-aae2-e6b7f5afd382 · outbound

This paper cites An algorithm for quadratic programming.Naval research logistics quarterly, 3(1-2):95–110, 1956.

Semi-discrete convex order and Laguerre tessellation fitting An algorithm for quadratic programming.Naval research logistics quarterly, 3(1-2):95–110, 1956

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 170dcb0d-5f81-4ac2-a5b3-64e528496de4 · outbound

This paper cites Gallou¨ et, Andrea Natale, and Gabriele Todeschi.

Semi-discrete convex order and Laguerre tessellation fitting Gallou¨ et, Andrea Natale, and Gabriele Todeschi

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 0e5cde1d-4b63-4f44-8e0a-647541af3f62 · outbound

This paper cites On a mixture of Brenier and Strassen theorems.Proceedings of the London Mathematical Society, 120(3):434–463, 2020.

Semi-discrete convex order and Laguerre tessellation fitting On a mixture of Brenier and Strassen theorems.Proceedings of the London Mathematical Society, 120(3):434–463, 2020

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 58147306-110a-44e7-adb4-5206c4cf9645 · outbound

This paper cites Kantorovich duality for general transport costs and applications.Journal of Functional Analysis, 273(11):3327–3405, 2017.

Semi-discrete convex order and Laguerre tessellation fitting Kantorovich duality for general transport costs and applications.Journal of Functional Analysis, 273(11):3327–3405, 2017

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 58f2a673-e0e4-464f-8dc1-fdfe1a2a2f11 · outbound

This paper cites Constrained clustering, diagrams, coresets, and their applications.Geometry, Analysis and Convexity, page 87, 2026.

Semi-discrete convex order and Laguerre tessellation fitting Constrained clustering, diagrams, coresets, and their applications.Geometry, Analysis and Convexity, page 87, 2026

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation b895caa6-3f3e-48b5-82f7-6bf72ae4c7d8 · outbound

This paper cites Recursively-regular subdivisions and applications.Journal of Com- putational Geometry, 7(1), 2016.

Semi-discrete convex order and Laguerre tessellation fitting Recursively-regular subdivisions and applications.Journal of Com- putational Geometry, 7(1), 2016

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 3085bc04-a96b-4cfe-88fb-c44a9b76bbe8 · outbound

This paper cites Statistical inference of convex order by Wasserstein projection.

Semi-discrete convex order and Laguerre tessellation fitting Statistical inference of convex order by Wasserstein projection

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-06-30T05:34:19.961837Z

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Observation 80f22bb3-8423-46d8-acf2-67368699cf66 · outbound

This paper cites Backward and forward Wasserstein projections in stochas- tic order.Journal of Functional Analysis, 286(2):110201, 2024.

Semi-discrete convex order and Laguerre tessellation fitting Backward and forward Wasserstein projections in stochas- tic order.Journal of Functional Analysis, 286(2):110201, 2024

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 698a1893-9f15-4d88-85da-8dab264f5603 · outbound

This paper cites Lagrangian discretiza- tion of crowd motion and linear diffusion.SIAM Journal on Numerical Analysis, 58(4):2093–2118, 2020.

Semi-discrete convex order and Laguerre tessellation fitting Lagrangian discretiza- tion of crowd motion and linear diffusion.SIAM Journal on Numerical Analysis, 58(4):2093–2118, 2020

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 24295649-3e53-45bc-8512-ab7c7f21bc03 · outbound

This paper cites an unresolved cited work.

Semi-discrete convex order and Laguerre tessellation fitting Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 66737fd6-93a9-47ce-adc3-5444667ef4d6 · outbound

This paper cites On the use of Laguerre tessellations for representations of 3d grain structures.

Semi-discrete convex order and Laguerre tessellation fitting On the use of Laguerre tessellations for representations of 3d grain structures

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 22f35f3d-0ac0-43e3-9d21-e2e35b437c38 · outbound

This paper cites Non-asymptotic convergence bounds for Wasserstein approximation using point clouds.

Semi-discrete convex order and Laguerre tessellation fitting Non-asymptotic convergence bounds for Wasserstein approximation using point clouds

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 96890af3-b1b2-4c28-9132-9a1290391af1 · outbound

This paper cites Mirrors, lenses and Monge–Amp` ere equations.European Mathematical Society Magazine, (120):16–28, 2021.

Semi-discrete convex order and Laguerre tessellation fitting Mirrors, lenses and Monge–Amp` ere equations.European Mathematical Society Magazine, (120):16–28, 2021

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 82d0c25e-dabe-4831-aca1-0f20b521a3ff · outbound

This paper cites Optimal transport: discretization and algorithms.

Semi-discrete convex order and Laguerre tessellation fitting Optimal transport: discretization and algorithms

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 6870ff27-2848-4377-9ff8-41aec06c59ae · outbound

This paper cites Initialization procedures for discrete and semi-discrete optimal transport.

Semi-discrete convex order and Laguerre tessellation fitting Initialization procedures for discrete and semi-discrete optimal transport

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 1ccd2498-8086-4272-b60b-460290b6824e · outbound

This paper cites Reconstruction of grains in polycrystalline materials from incomplete data using Laguerre tessellations.Microscopy and Microanalysis, 25(3):743–752, 2019.

Semi-discrete convex order and Laguerre tessellation fitting Reconstruction of grains in polycrystalline materials from incomplete data using Laguerre tessellations.Microscopy and Microanalysis, 25(3):743–752, 2019

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation ea906b12-49ab-491a-ba1d-2e60daa19e6b · outbound

This paper cites On the sequential convergence of Lloyd’s algorithms.Mathematics of Operations Research, 51(2):1120–1138, 2025.

Semi-discrete convex order and Laguerre tessellation fitting On the sequential convergence of Lloyd’s algorithms.Mathematics of Operations Research, 51(2):1120–1138, 2025

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 53743ad3-126c-427c-bb57-c9437c095b29 · outbound

This paper cites an unresolved cited work.

Semi-discrete convex order and Laguerre tessellation fitting Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 655231a4-b96e-42f2-a27c-950d47f9e0c8 · outbound

This paper cites Birkh¨ auser, 2015.

Semi-discrete convex order and Laguerre tessellation fitting Birkh¨ auser, 2015

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 3c3ba061-90a2-434c-8292-c703f418ee0a · outbound

This paper cites The existence of probability measures with given marginals.The Annals of Math- ematical Statistics, 36(2):423–439, 1965.

Semi-discrete convex order and Laguerre tessellation fitting The existence of probability measures with given marginals.The Annals of Math- ematical Statistics, 36(2):423–439, 1965

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation b597df37-972f-4d39-8b05-8ad770ec6ef8 · outbound

This paper cites ¨Uber exponierte punkte abgeschlossener punktmengen.Fundamenta Mathe- maticae, 24(1):139–143, 1935.

Semi-discrete convex order and Laguerre tessellation fitting ¨Uber exponierte punkte abgeschlossener punktmengen.Fundamenta Mathe- maticae, 24(1):139–143, 1935

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation f051c697-08ef-40fc-99eb-7e64fd820978 · outbound

This paper cites an unresolved cited work.

Semi-discrete convex order and Laguerre tessellation fitting Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation 4d89be80-0a7c-4873-bdf7-814569af4de4 · outbound

This paper cites Springer, 2009.

Semi-discrete convex order and Laguerre tessellation fitting Springer, 2009

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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Observation ca445f82-0a70-4a21-8a89-877d7c413510 · outbound

This paper cites Centroidal power diagrams with capacity constraints: Computation, applications, and extension.

Semi-discrete convex order and Laguerre tessellation fitting Centroidal power diagrams with capacity constraints: Computation, applications, and extension

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-30T05:33:59.018587Z

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