Persistence diagrams of random triangular matrices over finite fields | Paper Citation Record

Observation de68d354-20a9-4998-9da1-e470a480d870 · outbound

This paper cites Persistent homology for random fields and complexes.

Persistence diagrams of random triangular matrices over finite fields Persistent homology for random fields and complexes

Reference 1

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This paper cites Homological connectivity in random Čech complexes.Probability Theory and Related Fields, 183(3):715–788, 2022.

Persistence diagrams of random triangular matrices over finite fields Homological connectivity in random Čech complexes.Probability Theory and Related Fields, 183(3):715–788, 2022

Reference 2

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Observation 8035612b-8d8d-4447-88cf-8f8c70492284 · outbound

This paper cites Maximally persistent cycles in random geometric complexes.The Annals of Applied Probability, pages 2032–2060, 2017.

Persistence diagrams of random triangular matrices over finite fields Maximally persistent cycles in random geometric complexes.The Annals of Applied Probability, pages 2032–2060, 2017

Reference 3

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This paper cites A universal null-distribution for topological data analysis.Scientific reports, 13(1):12274, 2023.

Persistence diagrams of random triangular matrices over finite fields A universal null-distribution for topological data analysis.Scientific reports, 13(1):12274, 2023

Reference 4

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Observation b89a67b6-32b8-4fa1-a93e-5ecd40e95295 · outbound

This paper cites Universality in Random Persistent Homology and Scale-Invariant Functionals.

Persistence diagrams of random triangular matrices over finite fields Universality in Random Persistent Homology and Scale-Invariant Functionals

Reference 5

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Observation 3c276ab1-c87d-4291-ae22-621cce840d98 · outbound

This paper cites Heuristics on class groups of number fields.

Persistence diagrams of random triangular matrices over finite fields Heuristics on class groups of number fields

Reference 6

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Observation af42ebbe-c5c2-412b-a990-6101e1f82fd7 · outbound

This paper cites Decomposition of pointwise finite-dimensional persistence modules.Journal of Algebra and its Applications, 14(05):1550066, 2015.

Persistence diagrams of random triangular matrices over finite fields Decomposition of pointwise finite-dimensional persistence modules.Journal of Algebra and its Applications, 14(05):1550066, 2015

Reference 7

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Observation 1fb37cde-2cd3-43cb-97db-6b7f14903625 · outbound

This paper cites An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere.Computer Aided Geometric Design, 12(7):771–784, 1995.

Persistence diagrams of random triangular matrices over finite fields An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere.Computer Aided Geometric Design, 12(7):771–784, 1995

Reference 8

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Observation 533b341d-e2be-40de-bf75-fecbc2dbc8d7 · outbound

This paper cites Topological persistence and simplification.

Persistence diagrams of random triangular matrices over finite fields Topological persistence and simplification

Reference 9

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Observation 77b7b6a4-ca9f-4012-b7ee-9718bab10d47 · outbound

This paper cites Maximum persistent Betti numbers of Čech complexes.arXiv preprint arXiv:2409.05241, 2024.

Persistence diagrams of random triangular matrices over finite fields Maximum persistent Betti numbers of Čech complexes.arXiv preprint arXiv:2409.05241, 2024

Reference 10

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Observation bee05620-0476-4e80-9c83-d5c01eb01cb7 · outbound

This paper cites On the shape of a set of points in the plane.IEEE Transactions on Information Theory, 29(4):551–559, 1983.

Persistence diagrams of random triangular matrices over finite fields On the shape of a set of points in the plane.IEEE Transactions on Information Theory, 29(4):551–559, 1983

Reference 11

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Observation 118ef8f4-a595-464e-bbfd-c9ad4a541f06 · outbound

This paper cites Three-dimensional alpha shapes.ACM Transactions On Graphics (TOG), 13(1):43–72, 1994.

Persistence diagrams of random triangular matrices over finite fields Three-dimensional alpha shapes.ACM Transactions On Graphics (TOG), 13(1):43–72, 1994

Reference 12

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Observation ba76be71-fc25-4b9e-a0d6-09875d3dfaa6 · outbound

This paper cites On the distribution of divisor class groups of curves over a finite field.

Persistence diagrams of random triangular matrices over finite fields On the distribution of divisor class groups of curves over a finite field

Reference 13

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Observation 5b0a077e-e76c-40e6-88be-4a3b8a76e4f7 · outbound

This paper cites A distance for similarity classes of submanifolds of a euclidean space.

Persistence diagrams of random triangular matrices over finite fields A distance for similarity classes of submanifolds of a euclidean space

Reference 14

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Observation e500f9bb-d6e9-43f3-b61c-04099de7d946 · outbound

This paper cites Stein’s method and the rank distribution of random matrices over finite fields.Annals of Probability, 43(3):1274–1314, 2015.

Persistence diagrams of random triangular matrices over finite fields Stein’s method and the rank distribution of random matrices over finite fields.Annals of Probability, 43(3):1274–1314, 2015

Reference 15

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Observation d68e8522-dc15-4a21-932b-73056549d33e · outbound

This paper cites Nearly-symmetric matrices in the Cohen-Lenstra universality class.

Persistence diagrams of random triangular matrices over finite fields Nearly-symmetric matrices in the Cohen-Lenstra universality class

Reference 16

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Observation f46cd34c-749a-4d13-a7d6-c36e32495dd2 · outbound

This paper cites Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices.Combinatorics, Probability and Computing, 35(3):329– 355, 2026.

Persistence diagrams of random triangular matrices over finite fields Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices.Combinatorics, Probability and Computing, 35(3):329– 355, 2026

Reference 17

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Observation 5ea0ecff-db1b-4d0a-9c48-87b327496d2a · outbound

This paper cites Asymptotic behavior of lifetime sums for random simplicial complex processes.Journal of the Mathematical Society of Japan, 71(3):765– 804, 2019.

Persistence diagrams of random triangular matrices over finite fields Asymptotic behavior of lifetime sums for random simplicial complex processes.Journal of the Mathematical Society of Japan, 71(3):765– 804, 2019

Reference 18

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Observation 617d6013-07c2-4e55-ba7c-244866524559 · outbound

This paper cites Minimum spanning acycle and lifetime of per- sistent homology in the Linial–Meshulam process.Random Structures & Algorithms, 51(2):315–340, 2017.

Persistence diagrams of random triangular matrices over finite fields Minimum spanning acycle and lifetime of per- sistent homology in the Linial–Meshulam process.Random Structures & Algorithms, 51(2):315–340, 2017

Reference 19

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Observation f1b75309-267f-48d0-90a2-527e3b98eedd · outbound

This paper cites Limit theorems for persis- tence diagrams.The Annals of Applied Probability, 28(5):2740–2780, 2018.

Persistence diagrams of random triangular matrices over finite fields Limit theorems for persis- tence diagrams.The Annals of Applied Probability, 28(5):2740–2780, 2018

Reference 20

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Observation 07d3c287-9798-48a0-be3d-5ae58466ce98 · outbound

This paper cites The distribution of sandpile groups of random graphs with their pairings.

Persistence diagrams of random triangular matrices over finite fields The distribution of sandpile groups of random graphs with their pairings

Reference 21

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Observation ecf9d6c1-93a5-40d3-9b90-02b54f5bd8b1 · outbound

This paper cites Cohen-Lenstra flag universality for random matrix products.

Persistence diagrams of random triangular matrices over finite fields Cohen-Lenstra flag universality for random matrix products

Reference 22

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Observation a9e3e7d7-a400-4367-992d-d9ca5de5d614 · outbound

This paper cites Cohen–Lenstra heuristics for torsion in homology of random complexes.Experimental Mathematics, 29(3):347–359, 2020.

Persistence diagrams of random triangular matrices over finite fields Cohen–Lenstra heuristics for torsion in homology of random complexes.Experimental Mathematics, 29(3):347–359, 2020

Reference 23

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Observation 1ae4f017-43b3-48e8-af42-f40de0c14163 · outbound

This paper cites Random $p$-adic matrices with fixed zero entries and the Cohen--Lenstra distribution.

Persistence diagrams of random triangular matrices over finite fields Random $p$-adic matrices with fixed zero entries and the Cohen--Lenstra distribution

Reference 24

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Observation 434a80e2-05a4-488c-83f0-ae3fe80a7233 · outbound

This paper cites Universality of the cokernels of randomp-adic Hermitian matrices.Trans- actions of the American Mathematical Society, 376(12):8699–8732, 2023.

Persistence diagrams of random triangular matrices over finite fields Universality of the cokernels of randomp-adic Hermitian matrices.Trans- actions of the American Mathematical Society, 376(12):8699–8732, 2023

Reference 25

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Observation e5851803-e1d4-473d-a25c-1ff8b496a8b7 · outbound

This paper cites Sharp threshold for universality of cokernels of random matrices over finite fields.arXiv preprint arXiv:2511.13070, 2025.

Persistence diagrams of random triangular matrices over finite fields Sharp threshold for universality of cokernels of random matrices over finite fields.arXiv preprint arXiv:2511.13070, 2025

Reference 26

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Observation bbce48be-cfe0-441a-9bf8-f127d1628364 · outbound

This paper cites Distribution of the cokernels of determinantal row-sparse matrices.

Persistence diagrams of random triangular matrices over finite fields Distribution of the cokernels of determinantal row-sparse matrices

Reference 27

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Observation 99b1018e-8ea8-4f2e-9685-05aa70c13a9e · outbound

This paper cites Structure de l’anneau d’homologie d’une représentation.CR Acad.

Persistence diagrams of random triangular matrices over finite fields Structure de l’anneau d’homologie d’une représentation.CR Acad

Reference 28

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Observation c79d640d-afe0-4c20-a686-b949bfca2d62 · outbound

This paper cites A random walk on the category of finite abelian $p$-groups.

Persistence diagrams of random triangular matrices over finite fields A random walk on the category of finite abelian $p$-groups

Reference 29

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Observation 206655d9-e4da-4b55-ab54-9a88970c1873 · outbound

This paper cites The distribution of sandpile groups of random regular graphs.Trans- actions of the American Mathematical Society, 373(9):6529–6594, 2020.

Persistence diagrams of random triangular matrices over finite fields The distribution of sandpile groups of random regular graphs.Trans- actions of the American Mathematical Society, 373(9):6529–6594, 2020

Reference 30

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Observation ac725150-c8b4-498c-8950-5fff0dc8712e · outbound

This paper cites A phase transition for the cokernels of random band matrices over the p-adic integers.

Persistence diagrams of random triangular matrices over finite fields A phase transition for the cokernels of random band matrices over the p-adic integers

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Observation f6334cc0-ace8-48b3-9225-8012af384f34 · outbound

This paper cites The 2-torsion of determinantal hypertrees is not Cohen–Lenstra.

Persistence diagrams of random triangular matrices over finite fields The 2-torsion of determinantal hypertrees is not Cohen–Lenstra

Reference 32

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Observation 9490a0ae-7065-48e0-92d1-cc92e6a0f1a3 · outbound

This paper cites Cohen–Lenstra distribution for sparse matrices with determinantal biasing.International Mathematics Research Notices, 2025(3), 2025.

Persistence diagrams of random triangular matrices over finite fields Cohen–Lenstra distribution for sparse matrices with determinantal biasing.International Mathematics Research Notices, 2025(3), 2025

Reference 33

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Observation 0180e1b7-580a-40ab-9c52-5cf7c7739233 · outbound

This paper cites The fluctuations of the mod p rank of triangular matrices.

Persistence diagrams of random triangular matrices over finite fields The fluctuations of the mod p rank of triangular matrices

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Observation 17a70bad-a69b-438d-9b9e-e4973fa0a5f6 · outbound

This paper cites The persistent homology of the Linial-Meshulam process.arXiv preprint arXiv:2511.18338, 2025.

Persistence diagrams of random triangular matrices over finite fields The persistent homology of the Linial-Meshulam process.arXiv preprint arXiv:2511.18338, 2025

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Observation c01ca632-4d55-4c40-98d4-cc8f5b0dd8c8 · outbound

This paper cites The rank evolution of block bidiagonal matrices over finite fields.

Persistence diagrams of random triangular matrices over finite fields The rank evolution of block bidiagonal matrices over finite fields

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Observation ed9362ef-d4d7-4c48-9cf0-65af4a3bcf88 · outbound

This paper cites Universal constant order fluctuations for the cokernels of block triangular matrices.Electronic Communications in Probability, 30:1–13, 2025.

Persistence diagrams of random triangular matrices over finite fields Universal constant order fluctuations for the cokernels of block triangular matrices.Electronic Communications in Probability, 30:1–13, 2025

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Observation 9f8b1c12-da87-46c3-b2bf-5486dc7cc53f · outbound

This paper cites Abelian groups from random hypergraphs.Combinatorics, Proba- bility and Computing, 32(4):654–664, 2023.

Persistence diagrams of random triangular matrices over finite fields Abelian groups from random hypergraphs.Combinatorics, Proba- bility and Computing, 32(4):654–664, 2023

Reference 38

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Observation 8f90a2f7-b6fe-4f36-9b7c-1d5ca92569ea · outbound

This paper cites Rank fluctuations of matrix products and a moment method for growing groups.

Persistence diagrams of random triangular matrices over finite fields Rank fluctuations of matrix products and a moment method for growing groups

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Observation 6688c983-2d8e-4a8d-b21e-f20c245bf602 · outbound

This paper cites Universality for cokernels of random matrix products.Advances in Mathematics, 438:109451, 2024.

Persistence diagrams of random triangular matrices over finite fields Universality for cokernels of random matrix products.Advances in Mathematics, 438:109451, 2024

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This paper cites Local and global universality of random matrix cokernels.

Persistence diagrams of random triangular matrices over finite fields Local and global universality of random matrix cokernels

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Observation 867d6a3d-293d-4920-8e48-e59d8409b48c · outbound

This paper cites Random integral matrices: universality of surjectivity and the cokernel.Inventiones mathematicae, 228(1):1–76, 2022.

Persistence diagrams of random triangular matrices over finite fields Random integral matrices: universality of surjectivity and the cokernel.Inventiones mathematicae, 228(1):1–76, 2022

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Observation 8f1981e9-47b7-41f7-ab7a-f3c5ec678acd · outbound

This paper cites Towards computing homology from finite approximations.

Persistence diagrams of random triangular matrices over finite fields Towards computing homology from finite approximations

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Observation 307add41-74cf-458c-8fd2-4d149fedb27b · outbound

This paper cites The moment problem for random objects in a category.

Persistence diagrams of random triangular matrices over finite fields The moment problem for random objects in a category

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Observation 91510c87-869d-42de-b3be-8c4ce77cf9fb · outbound

This paper cites Quantative universality for cokernels of matrices with symmetries.arXiv preprint arXiv:2601.09704, 2026.

Persistence diagrams of random triangular matrices over finite fields Quantative universality for cokernels of matrices with symmetries.arXiv preprint arXiv:2601.09704, 2026

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Observation 15b3ba0e-b6cc-4352-9ff2-05f82a6226b9 · outbound

This paper cites Reflecting poisson walks and dynamical universality inp-adic random matrix theory.arXiv preprint arXiv:2312.11702, 2023.

Persistence diagrams of random triangular matrices over finite fields Reflecting poisson walks and dynamical universality inp-adic random matrix theory.arXiv preprint arXiv:2312.11702, 2023

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Observation 63a7a046-572c-4c9d-b277-d3ebbad77b5a · outbound

This paper cites Local limits in p-adic random matrix theory.Proceedings of the London Mathematical Society, 129(3):e12626, 2024.

Persistence diagrams of random triangular matrices over finite fields Local limits in p-adic random matrix theory.Proceedings of the London Mathematical Society, 129(3):e12626, 2024

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Observation 5d7a111d-77ce-43d7-be5f-56a9454d9b65 · outbound

This paper cites The rank of a random triangular matrix overF q.International Mathematics Research Notices, 2026(1):rnaf371, 2026.

Persistence diagrams of random triangular matrices over finite fields The rank of a random triangular matrix overF q.International Mathematics Research Notices, 2026(1):rnaf371, 2026

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Observation 4e4a9e14-af50-4f57-bfb4-0c2bfe2134e3 · outbound

This paper cites What is a p-adic Dyson Brownian motion? InAnnales de l’Institut Henri Poincare (B) Probabilites et statistiques, volume62, pages245–262.InstitutHenri Poincaré, 2026.

Persistence diagrams of random triangular matrices over finite fields What is a p-adic Dyson Brownian motion? InAnnales de l’Institut Henri Poincare (B) Probabilites et statistiques, volume62, pages245–262.InstitutHenri Poincaré, 2026

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This paper cites Statistics of number fields and function fields.

Persistence diagrams of random triangular matrices over finite fields Statistics of number fields and function fields

Reference 50

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Observation 5ae2b391-6d69-40e5-812a-6f2ca60da93f · outbound

This paper cites I: Plenary Lectures and Ceremonies Vols.

Persistence diagrams of random triangular matrices over finite fields I: Plenary Lectures and Ceremonies Vols

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This paper cites What is.

Persistence diagrams of random triangular matrices over finite fields What is

Reference 52

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Observation f397518c-3240-4e93-8912-ee80a4f9108d · outbound

This paper cites The distribution of sandpile groups of random graphs.Journal of the American Mathematical Society, 30(4):915–958, 2017.

Persistence diagrams of random triangular matrices over finite fields The distribution of sandpile groups of random graphs.Journal of the American Mathematical Society, 30(4):915–958, 2017

Reference 53

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This paper cites Random integral matrices and the Cohen-Lenstra heuristics.

Persistence diagrams of random triangular matrices over finite fields Random integral matrices and the Cohen-Lenstra heuristics

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