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Paper Citation Record · LEDGER

New convergence results for Carleman linearization

As of 17 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.24473.

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2606.24473 v1

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Observation d9c307a2-29d8-423e-a4e5-9e82602e771e · outbound

This paper cites Reachability analysis of nonlinear sy stems using conservative polynomial- ization and non-convex sets.

New convergence results for Carleman linearization Reachability analysis of nonlinear sy stems using conservative polynomial- ization and non-convex sets

Reference 1

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Observation 56731948-1748-4a09-a91e-92d079a7040a · outbound

This paper cites An introduction to CORA 2015.

New convergence results for Carleman linearization An introduction to CORA 2015

Reference 2

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Observation 46e8d116-8bea-43cf-96d5-06268f13277d · outbound

This paper cites Set p ropagation techniques for reach- ability analysis.

New convergence results for Carleman linearization Set p ropagation techniques for reach- ability analysis

Reference 3

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Observation 9b124213-e597-48ff-9466-e659c2cf1361 · outbound

This paper cites Error bounds for C arleman linearization of general nonlinear systems.

New convergence results for Carleman linearization Error bounds for C arleman linearization of general nonlinear systems

Reference 4

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Observation 50dfe1e2-911a-4541-b698-1a5fce7da7fe · outbound

This paper cites Carle man linearization of nonlinear systems and its finite-section approximations.

New convergence results for Carleman linearization Carle man linearization of nonlinear systems and its finite-section approximations

Reference 5

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Observation 11e337a1-7b60-4e11-82b2-83e5f6c5f908 · outbound

This paper cites Reachability of Koopman linearized syst ems using random Fourier fea- ture observables and polynomial zonotope refinement.

New convergence results for Carleman linearization Reachability of Koopman linearized syst ems using random Fourier fea- ture observables and polynomial zonotope refinement

Reference 6

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New convergence results for Carleman linearization Unresolved cited work

Reference 7

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Observation a8448fe1-33ba-49f0-87ca-e58e21b4ef64 · outbound

This paper cites Berry, Andrew M.

New convergence results for Carleman linearization Berry, Andrew M

Reference 8

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Observation 7fcd81e4-9b51-46c8-aeed-1db5c8a240ef · outbound

This paper cites JuliaReach: A toolbox for set-based reachabili ty.

New convergence results for Carleman linearization JuliaReach: A toolbox for set-based reachabili ty

Reference 9

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Observation 4614da97-f7a7-4e49-94bc-0b9ec422170e · outbound

This paper cites Algorithms for exact and approximate l inear abstractions of polynomial continuous systems.

New convergence results for Carleman linearization Algorithms for exact and approximate l inear abstractions of polynomial continuous systems

Reference 10

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Observation de0914f6-4bc9-4299-9577-6160430bbfdd · outbound

This paper cites Linearization, mode l reduction and reachability in nonlinear ODEs.

New convergence results for Carleman linearization Linearization, mode l reduction and reachability in nonlinear ODEs

Reference 11

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Observation 4c433f3e-f241-448c-95d6-8ac9320f2fb8 · outbound

This paper cites Linearization, mode l reduction and reachability in nonlinear ODEs.

New convergence results for Carleman linearization Linearization, mode l reduction and reachability in nonlinear ODEs

Reference 12

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This paper cites Application de la théorie des équati ons intégrales linéaires aux systèmes d’équations différentielles non linéaires.

New convergence results for Carleman linearization Application de la théorie des équati ons intégrales linéaires aux systèmes d’équations différentielles non linéaires

Reference 13

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Observation 7567ad43-fe3c-4283-9656-28af461a371a · outbound

This paper cites Reachability Analysis of Non-linear Hybrid Systems Using T aylor Models.

New convergence results for Carleman linearization Reachability Analysis of Non-linear Hybrid Systems Using T aylor Models

Reference 14

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This paper cites Taylor model flowpipe con- struction for non-linear hybrid systems.

New convergence results for Carleman linearization Taylor model flowpipe con- struction for non-linear hybrid systems

Reference 15

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This paper cites Flow*: An analyzer for non- linear hybrid systems.

New convergence results for Carleman linearization Flow*: An analyzer for non- linear hybrid systems

Reference 16

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Observation 88cd624e-cc0a-40fa-947a-347e5ca65fb2 · outbound

This paper cites Ordinary Differential Equations with Applications , volume 34 of Texts in Applied Mathematics.

New convergence results for Carleman linearization Ordinary Differential Equations with Applications , volume 34 of Texts in Applied Mathematics

Reference 17

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New convergence results for Carleman linearization Unresolved cited work

Reference 18

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New convergence results for Carleman linearization Unresolved cited work

Reference 19

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Observation bd23494d-d978-468a-8c21-793da08bf326 · outbound

This paper cites Explicit Error Bounds for Carleman Linearization.

New convergence results for Carleman linearization Explicit Error Bounds for Carleman Linearization

Reference 20

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This paper cites Reachability of weakly nonlinear systems using Car- leman linearization.

New convergence results for Carleman linearization Reachability of weakly nonlinear systems using Car- leman linearization

Reference 21

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Observation 6a71150f-0543-449a-bef7-8b93ae45b681 · outbound

This paper cites SpaceEx: Scalable verification of hybrid systems.

New convergence results for Carleman linearization SpaceEx: Scalable verification of hybrid systems

Reference 22

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New convergence results for Carleman linearization Reachability of uncertain linear syst ems using zonotopes

Reference 23

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New convergence results for Carleman linearization Harrow, A vinatan Hassidim, and Seth Lloyd

Reference 24

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This paper cites Nonlinear Dynamical Systems and Carleman Linearization.

New convergence results for Carleman linearization Nonlinear Dynamical Systems and Carleman Linearization

Reference 25

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New convergence results for Carleman linearization Improved quantum algorithms for linear and nonlinear differential equations

Reference 26

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New convergence results for Carleman linearization Krovi, Nuno F

Reference 27

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New convergence results for Carleman linearization Rigorous integration of flo ws and ODEs using Taylor models

Reference 28

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New convergence results for Carleman linearization Nedialkov, Kenneth R

Reference 29

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This paper cites Semigroups of Linear Operators and Applications to Partial Differential Equations, volume 44 of Applied Mathematical Sciences.

New convergence results for Carleman linearization Semigroups of Linear Operators and Applications to Partial Differential Equations, volume 44 of Applied Mathematical Sciences

Reference 30

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New convergence results for Carleman linearization Iterative Methods for Sparse Linear Systems

Reference 31

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This paper cites Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions.

New convergence results for Carleman linearization Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions

Reference 32

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