Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-11T14:44:59.405734Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 100 of 184 outbound references and 0 inbound Pith citation observations for arXiv:2607.04712.
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 2026-07-11T14:44:59.405734Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
100 of 184 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation befb066e-80a4-4b8d-9d34-bfcaa2676145 · outbound
Piecewise Symmetric Tensors Integration of Paths -- A Faithful Representation of Paths by Noncommutative Formal Power Series
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 469d079f-ba02-4725-93c7-af65cfbcfc1c · outbound
Piecewise Symmetric Tensors Signatures of paths transformed by polynomial maps
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4dbdb2d-56b0-49a2-bfe6-d8ff827ac01b · outbound
Piecewise Symmetric Tensors Hopf algebras, renormalization and noncommutative geometry
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4742dd8f-c781-4ea4-9dda-75e3860884c5 · outbound
Piecewise Symmetric Tensors Hopf Algebras, Renormalization and Noncommutative Geometry
Reference 4
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Unavailable: canonical work link unavailable.
Observation c535b6f5-623a-45dc-9ab0-0181465ddba5 · outbound
Piecewise Symmetric Tensors Hopf algebras, from basics to applications to renormalization
Reference 5
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Unavailable: canonical work link unavailable.
Observation 54b07073-319f-4830-a729-8e79d6024506 · outbound
Piecewise Symmetric Tensors Hopf algebras, from basics to applications to renormalization
Reference 6
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Unavailable: canonical work link unavailable.
Observation cd094960-172a-4813-9e70-4c537cedad19 · outbound
Piecewise Symmetric Tensors Hopf Algebras
Reference 7
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Unavailable: canonical work link unavailable.
Observation c133eca5-5efe-4bb5-9d7e-8313a6d10475 · outbound
Piecewise Symmetric Tensors Stochastic differential equations and diffusion processes
Reference 8
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Unavailable: canonical work link unavailable.
Observation a67f4166-559e-4d05-8a5e-516b0dd90366 · outbound
Piecewise Symmetric Tensors Limits of the W ong- Z akai type with a modified drift term
Reference 9
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Unavailable: canonical work link unavailable.
Observation 13e67dd9-7b84-4284-8fd7-1219dbb59198 · outbound
Piecewise Symmetric Tensors Multidimensional Stochastic Processes as Rough paths: Theory and Applications
Reference 10
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Unavailable: canonical work link unavailable.
Observation 4e651b4c-527e-4715-8603-02d7f4dd0c6c · outbound
Piecewise Symmetric Tensors Tree algebras over topological vector spaces in rough path theory
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0837279f-bed7-4125-99c7-8f2462371c46 · outbound
Piecewise Symmetric Tensors L \'e vy processes in L ie groups
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation d4048321-478b-4035-93a2-c193fa044d97 · outbound
Piecewise Symmetric Tensors Stochastic analysis, rough path analysis and fractional B rownian motions
Reference 13
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Unavailable: canonical work link unavailable.
Observation 37dd7ee6-1634-4d14-86e7-148a57a1e148 · outbound
Piecewise Symmetric Tensors System control and rough paths
Reference 14
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Unavailable: canonical work link unavailable.
Observation 4d1fa204-2d2a-49be-a9fc-17b8bc97d6b9 · outbound
Piecewise Symmetric Tensors Differential equations driven by rough signals
Reference 15
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Unavailable: canonical work link unavailable.
Observation 623848c2-d0ed-49c3-9728-e43146cfabd3 · outbound
Piecewise Symmetric Tensors A (rough) pathwise approach to a class of non-linear stochastic partial differential equations
Reference 16
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 54fb6e28-5182-4623-aa44-2e193e49cf04 · outbound
Piecewise Symmetric Tensors An isomorphism between branched and geometric rough paths
Reference 17
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Unavailable: canonical work link unavailable.
Observation 834b5685-3e6e-4c5f-9971-c80de1196beb · outbound
Piecewise Symmetric Tensors Differential Equations Driven by Rough Paths
Reference 18
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Unavailable: canonical work link unavailable.
Observation a7a389c2-3bea-4af8-8394-3cdcbf448adc · outbound
Piecewise Symmetric Tensors Relating the C onnes- K reimer and G rossman- L arson H opf algebras built on rooted trees
Reference 19
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 882d308e-90f9-44c8-b2bb-4fb2311725fa · outbound
Piecewise Symmetric Tensors A Course on Rough Paths: With an Introduction to Regularity Structures
Reference 20
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Unavailable: canonical work link unavailable.
Observation 33a8ec06-3729-4d08-93db-8e2d1e88d235 · outbound
Piecewise Symmetric Tensors Rough path limits of the W ong- Z akai type with a modified drift term
Reference 21
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 056c4b2c-6684-4294-9f97-44ddf9f2fe24 · outbound
Piecewise Symmetric Tensors Controlling rough paths
Reference 22
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Unavailable: canonical work link unavailable.
Observation 3e58dc12-4b4c-4067-a11e-7d8d5c709169 · outbound
Piecewise Symmetric Tensors Ramification of rough paths
Reference 23
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Unavailable: canonical work link unavailable.
Observation 88b7b67c-1ea9-4b00-b19c-daaa5c7bb8c6 · outbound
Piecewise Symmetric Tensors A short survey on pre- L ie algebras
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6999e616-1618-40b3-90b3-a70e334e4f3b · outbound
Piecewise Symmetric Tensors Two interacting H opf algebras of trees: a H opf-algebraic approach to composition and substitution of B -series
Reference 25
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f5e77ff5-6b4c-41f3-89a2-26e1e47b34a6 · outbound
Piecewise Symmetric Tensors Flots et s \'e ries de T aylor stochastiques
Reference 26
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7593b4c9-582b-42f7-8269-4f4a2f123bd7 · outbound
Piecewise Symmetric Tensors Physical B rownian motion in a magnetic field as a rough path
Reference 27
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Unavailable: canonical work link unavailable.
Observation aef87ddf-a8b5-4ea7-9a96-05381458eb6f · outbound
Piecewise Symmetric Tensors Pre- L ie algebras and the rooted trees operad
Reference 28
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Unavailable: canonical work link unavailable.
Observation f7e76657-6658-433b-8ea1-292b7a7fb82b · outbound
Piecewise Symmetric Tensors Geometric versus non-geometric rough paths
Reference 29
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Unavailable: canonical work link unavailable.
Observation 844b1738-8eec-4a6f-8cb3-e7fd104c68f9 · outbound
Piecewise Symmetric Tensors Finite-dimensional comodules over the H opf algebra of rooted trees
Reference 30
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Unavailable: canonical work link unavailable.
Observation 24b63da3-46c9-4c0a-b67d-253663315d77 · outbound
Piecewise Symmetric Tensors Trees, free right-symmetric algebras, free N ovikov algebras and identities
Reference 31
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Unavailable: canonical work link unavailable.
Observation 04d238fe-87d4-45fc-ba19-76811ad1179b · outbound
Piecewise Symmetric Tensors The motion of a random string
Reference 33
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Unavailable: canonical work link unavailable.
Observation c3ba5e4a-9906-483e-a85a-686a29862cef · outbound
Piecewise Symmetric Tensors J.\ and Yang , D.\", eprint =
Reference 34
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Observation 093cd8ed-aa96-4b4f-a81e-49c256b03c03 · outbound
Piecewise Symmetric Tensors Decay rate of iterated integrals of branched rough paths
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e70e0d5b-be81-48c8-bbfe-e5ebfc6fc4b1 · outbound
Piecewise Symmetric Tensors Random walks and L \'e vy processes as rough paths
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 919ea50a-a13e-41f3-b36c-1b0dac1ae452 · outbound
Piecewise Symmetric Tensors Discretely sampled signals and the rough Hoff process
Reference 37
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8742d31c-0f72-4405-ab8a-3faf43c30a77 · outbound
Piecewise Symmetric Tensors General rough integration, L \'e vy Rough paths and a L \'e vy--Kintchine type formula
Reference 38
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Unavailable: canonical work link unavailable.
Observation 7da082d5-cfe3-4199-ad36-86765dba09f1 · outbound
Piecewise Symmetric Tensors An analytic BPHZ theorem for regularity structures
Reference 39
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Unavailable: canonical work link unavailable.
Observation 37fda165-22c6-4c2d-a986-26fe82994d32 · outbound
Piecewise Symmetric Tensors A regularity structure for rough volatility
Reference 40
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Unavailable: canonical work link unavailable.
Observation 36ec79f0-9b7b-4578-bb8b-f9db52f2700c · outbound
Reference 41
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 828880fb-9baf-4499-b39b-053b9512c0c9 · outbound
Piecewise Symmetric Tensors Hardy spaces on homogeneous groups
Reference 42
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Unavailable: canonical work link unavailable.
Observation 9de1de1d-8b4e-4d71-ab8f-9aa37ceadd32 · outbound
Piecewise Symmetric Tensors Algebraic renormalisation of regularity structures
Reference 43
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Unavailable: canonical work link unavailable.
Observation 5ab2331c-5d16-4bdd-9fc0-275d22b4b68a · outbound
Piecewise Symmetric Tensors From Hopf algebras to rough paths and regularity structures
Reference 44
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Unavailable: canonical work link unavailable.
Observation fc3b0701-4b3b-4665-b174-6aeef21f9ce9 · outbound
Piecewise Symmetric Tensors Elements of Noncommutative Geometry
Reference 45
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Unavailable: canonical work link unavailable.
Observation 2227fb84-8077-45c4-a985-e8ec8036e9e0 · outbound
Piecewise Symmetric Tensors Free L ie algebras
Reference 46
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Unavailable: canonical work link unavailable.
Observation 663ae2b0-2362-4cd1-ab4d-38883ffb8213 · outbound
Piecewise Symmetric Tensors Free pre- L ie algebras are free as L ie algebras
Reference 47
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1e553258-8f76-44ea-a78d-e01486b2c04c · outbound
Piecewise Symmetric Tensors A theory of regularity structures
Reference 48
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Observation 12bcfae8-b313-4924-808b-9c41cd4a133c · outbound
Piecewise Symmetric Tensors A renormalized rough path over fractional B rownian motion
Reference 49
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2759d45c-6de4-4633-bd9b-eca89143049a · outbound
Piecewise Symmetric Tensors Renormalising SPDEs in regularity structures
Reference 50
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Unavailable: canonical work link unavailable.
Observation 380bd479-0340-431c-8b62-8f93da1eb41b · outbound
Piecewise Symmetric Tensors Paracontrolled distributions and singular PDE s
Reference 51
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Unavailable: canonical work link unavailable.
Observation cbdc3521-2a34-451d-b5bf-1b60000dccd9 · outbound
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 65a62f17-7122-420f-85df-d7ce98c1d952 · outbound
Piecewise Symmetric Tensors Varieties of Signature Tensors
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fc893e02-de2a-428c-afa6-4ce6a494edec · outbound
Piecewise Symmetric Tensors The rough Veronese variety
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7807ae13-1d6f-409a-b022-bab2ed081652 · outbound
Piecewise Symmetric Tensors Integration of paths, geometric invariants and a generalized B aker- H ausdorff formula
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7930543-ccbe-4598-9425-9ae9bb63f408 · outbound
Piecewise Symmetric Tensors Learning Paths from Signature Tensors
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b6ed32d0-cd34-429a-84d5-22341f80cbfe · outbound
Piecewise Symmetric Tensors Invariants of Multidimensional Time Series Based on Their Iterated-Integral Signature
Reference 57
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Unavailable: canonical work link unavailable.
Observation aa23da13-10c9-47e1-a9f3-930adac15f51 · outbound
Piecewise Symmetric Tensors Lie Elements and an Algebra Associated With Shuffles
Reference 58
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Observation e4983003-c5c4-45d2-941b-e2ad8bc3cd0f · outbound
Piecewise Symmetric Tensors Uniqueness for the signature of a path of bounded variation and the reduced path group
Reference 59
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Unavailable: canonical work link unavailable.
Observation df20d90d-68fa-4be6-9748-4772a3d79de4 · outbound
Piecewise Symmetric Tensors The signature of a rough path: Uniqueness
Reference 60
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Unavailable: canonical work link unavailable.
Observation 0438cce7-ed7a-4d92-96fe-bfd492521c28 · outbound
Piecewise Symmetric Tensors Iterated Integrals and Algebraic Cycles: Examples and Prospects
Reference 61
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Observation a75f6c02-4ffc-49a5-9529-4cc2b815617a · outbound
Piecewise Symmetric Tensors Noncommutative Geometry and Path Integrals
Reference 62
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Unavailable: canonical work link unavailable.
Observation a702e19f-a83a-4b3d-893a-a91e7ccb8025 · outbound
Piecewise Symmetric Tensors Iterated C oleman integration for hyperelliptic curves
Reference 63
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Unavailable: canonical work link unavailable.
Observation aa2723a4-5942-47ce-8958-754e78c8d167 · outbound
Piecewise Symmetric Tensors Areas of areas generate the shuffle algebra
Reference 64
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Unavailable: canonical work link unavailable.
Observation 22b19af7-1a69-432e-a38a-d5e9095e9dcd · outbound
Piecewise Symmetric Tensors K.\ and Hairer, M.\", isbn =
Reference 65
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Unavailable: canonical work link unavailable.
Observation 6937b39e-ec6e-4364-acea-10fdac16d9d8 · outbound
Piecewise Symmetric Tensors K.\ and Victoir, N
Reference 66
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Unavailable: canonical work link unavailable.
Observation a2427624-7059-4352-9f28-0715998e1279 · outbound
Piecewise Symmetric Tensors CUP-Product for Leibniz Cohomology and Dual Leibniz Algebras
Reference 67
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Unavailable: canonical work link unavailable.
Observation 3acbdd16-f68b-428a-837b-f1f76eb55b07 · outbound
Piecewise Symmetric Tensors u tzenberger, Marcel P.\
Reference 68
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Unavailable: canonical work link unavailable.
Observation 6547b324-3413-49e9-b53a-8581628b7dd0 · outbound
Piecewise Symmetric Tensors Natural endomorphisms of shuffle algebras
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 47df8446-ce48-4e94-8f41-7052eb8560ad · outbound
Piecewise Symmetric Tensors On the Groups H( ,n) , I
Reference 70
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Unavailable: canonical work link unavailable.
Observation 05e90f25-efef-4b70-bf32-b32c02d32ff8 · outbound
Piecewise Symmetric Tensors Monotone, free, and boolean cumulants: a shuffle algebra approach
Reference 71
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Unavailable: canonical work link unavailable.
Observation 7fdd838b-ae13-4e29-9709-ec5a248feb13 · outbound
Piecewise Symmetric Tensors A hopf-algebraic formula for compositions of noncommuting flows
Reference 72
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Unavailable: canonical work link unavailable.
Observation 833833d7-c524-40c6-8f82-b1714e0d7e2e · outbound
Piecewise Symmetric Tensors A.\ and Gamkrelidze, R
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89baacff-3b7d-4463-8727-c7b7a46d8b1c · outbound
Piecewise Symmetric Tensors On tortkara triple systems
Reference 74
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Unavailable: canonical work link unavailable.
Observation 23bc21af-03e1-4f3c-97c0-9c438d321dd2 · outbound
Piecewise Symmetric Tensors The Inverse Problem for Rough Controlled Differential Equations
Reference 75
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Unavailable: canonical work link unavailable.
Observation 9781273c-3c66-4c77-9f4b-101ddafa2659 · outbound
Piecewise Symmetric Tensors A primer of Hopf algebras
Reference 76
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Unavailable: canonical work link unavailable.
Observation 950e8511-d37c-4467-b146-75d6b2f6d782 · outbound
Piecewise Symmetric Tensors Iterated Integrals and Exponential Homomorphisms
Reference 77
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Observation afef0529-68fc-4dfa-98ce-2ae6da6102ce · outbound
Piecewise Symmetric Tensors Orthogonal projection onto the free Lie algebra
Reference 78
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Unavailable: canonical work link unavailable.
Observation f4984a60-4364-44f7-a5ca-dae404240c6b · outbound
Piecewise Symmetric Tensors S.\", journal =
Reference 79
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Unavailable: canonical work link unavailable.
Observation c7fdb2ba-5dc0-4e69-9c4e-ab59d4c0cc26 · outbound
Piecewise Symmetric Tensors S.\ and Ismailov, N
Reference 80
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da13d2fe-ecff-401b-a913-80b237d44f99 · outbound
Piecewise Symmetric Tensors A Lie theoretic approach to renormalization
Reference 81
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Unavailable: canonical work link unavailable.
Observation 54c84aa1-82ca-4f74-bb97-0164a1ebbcf7 · outbound
Piecewise Symmetric Tensors Dendriform equations
Reference 82
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ad6cc36-6d23-475e-90e6-a97f99687da3 · outbound
Piecewise Symmetric Tensors Natural endomorphisms of shuffle algebras
Reference 83
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eaecde92-1506-427a-bd0c-a20fdc2e06af · outbound
Piecewise Symmetric Tensors Area Without Integration: Make Your Own Planimeter
Reference 84
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 38940cbd-7695-4137-a2ea-ba8d7e59360b · outbound
Piecewise Symmetric Tensors Combinatorics of the free Lie algebra and the symmetric group
Reference 85
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Observation a680e5bf-8426-4566-94f4-fc466e0af4f3 · outbound
Piecewise Symmetric Tensors Finite-Dimensional Vector Spaces
Reference 86
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Unavailable: canonical work link unavailable.
Observation 503114f7-0573-4999-b7a0-89d85dcce5d5 · outbound
Piecewise Symmetric Tensors Chronological Calculus in Systems and Control Theory
Reference 87
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6e1399fa-030b-4741-ab73-e2a5a942f2e4 · outbound
Piecewise Symmetric Tensors Dialgebras
Reference 88
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Unavailable: canonical work link unavailable.
Observation fa7d0b70-9c64-4099-8665-9999bafdf210 · outbound
Piecewise Symmetric Tensors Backward Error Analysis and the Substitution Law for Lie Group Integrators
Reference 89
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Unavailable: canonical work link unavailable.
Observation cc84dbf3-6988-4fcc-bcb1-b3032a7e76cf · outbound
Piecewise Symmetric Tensors , journal =. On Gauss--Green theorem and boundaries of a class of H \
Reference 90
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Unavailable: canonical work link unavailable.
Observation e9de058f-abe6-4d5b-b20f-6dfeaaeb191e · outbound
Piecewise Symmetric Tensors Logarithmic derivatives and generalized Dynkin operators
Reference 91
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Unavailable: canonical work link unavailable.
Observation 509a75c4-f427-4d32-a678-f4cd149cf5f1 · outbound
Piecewise Symmetric Tensors On Dynkin and Klyachko idempotents in graded bialgebras
Reference 92
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Unavailable: canonical work link unavailable.
Observation 40a5c3ab-5650-4861-8ac2-06a6c68bf0cb · outbound
Piecewise Symmetric Tensors Lie Representations and an Algebra Containing Solomon's
Reference 93
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Unavailable: canonical work link unavailable.
Observation 1a9428e1-62cf-4875-918e-f2456f0c1e44 · outbound
Piecewise Symmetric Tensors Iterated-integral signatures in machine learning
Reference 94
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Unavailable: canonical work link unavailable.
Observation 26063cdb-e9b4-4f88-80af-0358932f9a03 · outbound
Piecewise Symmetric Tensors On computation of the logarithm of the Chen-Fliess series for nonlinear systems
Reference 95
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb54bd66-8dae-4b26-a08c-adc67717506e · outbound
Piecewise Symmetric Tensors Uma abordagem algébrica à teoria de controlo não linear
Reference 96
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Unavailable: canonical work link unavailable.
Observation 5092ac1c-d0d0-4248-9506-c30524801e99 · outbound
Piecewise Symmetric Tensors Unresolved cited work
Reference 97
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Observation bbf22be1-da6d-4614-9ed2-96937140ba24 · outbound
Piecewise Symmetric Tensors Ring theory: Volume I
Reference 98
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Unavailable: canonical work link unavailable.
Observation 01af129a-56cd-4628-8ce5-665dd2287ea5 · outbound
Piecewise Symmetric Tensors , A.\", doi =
Reference 99
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 86a66259-52b4-470d-ab04-730e052a5d0d · outbound
Piecewise Symmetric Tensors K.\ and Prei , R.\", journal =
Reference 100
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Observation 2e39927c-ec30-4017-a8be-b0dd2c6e5dd6 · outbound
Piecewise Symmetric Tensors Mathematical Analysis
Reference 101
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