Andrea Pinamonti, Tommaso Rossi: Integrability of the horizontal mean curvature near characteristic points in the Heisenberg group https://arxiv.org/abs/2611.14137 https://arxiv.org/pdf/2611.14137 https://arxiv.org/html/2611.14137
November 11, 2026 at 6:47 AM
Andrea Pinamonti, Tommaso Rossi: Integrability of the horizontal mean curvature near characteristic points in the Heisenberg group https://arxiv.org/abs/2611.14137 https://arxiv.org/pdf/2611.14137 https://arxiv.org/html/2611.14137
No gravity recalculation in motion—but full gravity modeling may still be needed to design the controller.
#GoodNews #PositiveNews
#GoodNews #PositiveNews
Robots can skip recalculating gravity—if their energy equations cooperate
A mathematical framework lets some underactuated machines compensate gravity online only at their target posture. The stability guarantee is local and depends on integrability and positive augmented
www.meridia.news
November 14, 2026 at 3:00 PM
No gravity recalculation in motion—but full gravity modeling may still be needed to design the controller.
#GoodNews #PositiveNews
#GoodNews #PositiveNews
I just subscribed to AI for integrability (and related topics in mathematical physics). Sign up here:
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AI for integrability (and related topics in mathematical physics) | Balázs Pozsgay | Substack
In this substack we will post our progress on using Large Language Models in solving problems in mathematical physics. Click to read AI for integrability (and related topics in mathematical physics), ...
aiforintegrability.substack.com
November 7, 2026 at 3:16 PM
I just subscribed to AI for integrability (and related topics in mathematical physics). Sign up here:
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Bogi Kim, Jehan Oh, Abhrojyoti Sen: Gradient higher integrability for a general class of degenerate parabolic double phase systems https://arxiv.org/abs/2611.08291 https://arxiv.org/pdf/2611.08291 https://arxiv.org/html/2611.08291
November 6, 2026 at 6:47 AM
Bogi Kim, Jehan Oh, Abhrojyoti Sen: Gradient higher integrability for a general class of degenerate parabolic double phase systems https://arxiv.org/abs/2611.08291 https://arxiv.org/pdf/2611.08291 https://arxiv.org/html/2611.08291
Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories
https://arxiv.org/pdf/2611.06507
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani, Hyungrok Kim, Martin Wolf, Charles A. S. Young.
https://arxiv.org/pdf/2611.06507
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani, Hyungrok Kim, Martin Wolf, Charles A. S. Young.
https://arxiv.org/abs/2611.06507
arXiv abstract link
arxiv.org
November 5, 2026 at 9:33 AM
Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories
https://arxiv.org/pdf/2611.06507
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani, Hyungrok Kim, Martin Wolf, Charles A. S. Young.
https://arxiv.org/pdf/2611.06507
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani, Hyungrok Kim, Martin Wolf, Charles A. S. Young.
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani, Hyungrok Kim, Martin Wolf, Charles A. S. Young: Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories https://arxiv.org/abs/2611.06507 https://arxiv.org/pdf/2611.06507 https://arxiv.org/html/2611.06507
November 5, 2026 at 6:54 AM
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani, Hyungrok Kim, Martin Wolf, Charles A. S. Young: Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories https://arxiv.org/abs/2611.06507 https://arxiv.org/pdf/2611.06507 https://arxiv.org/html/2611.06507
Distance to integrability and complexity
https://arxiv.org/pdf/2611.00233
Sean Casey, Marius de Leeuw, Tristan McLoughlin, Sergiy Zhuk.
https://arxiv.org/pdf/2611.00233
Sean Casey, Marius de Leeuw, Tristan McLoughlin, Sergiy Zhuk.
https://arxiv.org/abs/2611.00233
arXiv abstract link
arxiv.org
November 4, 2026 at 5:41 AM
Distance to integrability and complexity
https://arxiv.org/pdf/2611.00233
Sean Casey, Marius de Leeuw, Tristan McLoughlin, Sergiy Zhuk.
https://arxiv.org/pdf/2611.00233
Sean Casey, Marius de Leeuw, Tristan McLoughlin, Sergiy Zhuk.
Researchers classify all 12 integrable spin-1/2 chain models and develop a distance metric to measure how far any Hamiltonian lies from integrability. This reveals fundamental connections between mathematical integrability, quantum chaos, and system complexity—advancing our un...
Distance to Integrability and Complexity
arxiv.org
November 3, 2026 at 3:47 AM
Researchers classify all 12 integrable spin-1/2 chain models and develop a distance metric to measure how far any Hamiltonian lies from integrability. This reveals fundamental connections between mathematical integrability, quantum chaos, and system complexity—advancing our un...
Study reveals quantum spin systems with long-range ferromagnetic couplings fail to thermalize, instead forming long-range quantum correlations. Eigenstate atypicality—not integrability—drives this breakdown, transforming non-thermal states into quantum resources for quantum-en...
Long-Range Interactions Break Quantum Thermalization via Eigenstate Atypicality
arxiv.org
October 31, 2026 at 4:27 AM
Study reveals quantum spin systems with long-range ferromagnetic couplings fail to thermalize, instead forming long-range quantum correlations. Eigenstate atypicality—not integrability—drives this breakdown, transforming non-thermal states into quantum resources for quantum-en...
Late-time operator purity saturation scales linearly with system size in integrable systems but remains constant in chaotic ones—a robust diagnostic that explains why conserved charge locality matters.
#QuantumChaos #QuantumInformation #Research
#QuantumChaos #QuantumInformation #Research
Distinguishing Quantum Chaos from Integrability Using Operator Purity
arxiv.org
October 31, 2026 at 9:17 AM
Late-time operator purity saturation scales linearly with system size in integrable systems but remains constant in chaotic ones—a robust diagnostic that explains why conserved charge locality matters.
#QuantumChaos #QuantumInformation #Research
#QuantumChaos #QuantumInformation #Research
Late-time operator purity saturation scales linearly with system size in integrable systems but remains constant in chaotic ones—a robust diagnostic that explains why conserved charge locality matters.
#QuantumChaos #QuantumInformation #Research
#QuantumChaos #QuantumInformation #Research
Distinguishing Quantum Chaos from Integrability Using Operator Purity
arxiv.org
October 31, 2026 at 9:17 AM
Late-time operator purity saturation scales linearly with system size in integrable systems but remains constant in chaotic ones—a robust diagnostic that explains why conserved charge locality matters.
#QuantumChaos #QuantumInformation #Research
#QuantumChaos #QuantumInformation #Research
Constructs exact time-dependent integrable quantum field theories on finite intervals using affine spectral coordinates and boundary quantum Knizhnik–Zamolodchikov equations. Derives driven SU(N) and O(3) models with time-dependent Kondo interactions constrained by integrability.
Time-Dependent Integrable Quantum Field Theories with Dynamical Boundaries
iq.fp2.dev
October 31, 2026 at 10:31 AM
Constructs exact time-dependent integrable quantum field theories on finite intervals using affine spectral coordinates and boundary quantum Knizhnik–Zamolodchikov equations. Derives driven SU(N) and O(3) models with time-dependent Kondo interactions constrained by integrability.
Constructs exact time-dependent integrable quantum field theories on finite intervals using affine spectral coordinates and boundary quantum Knizhnik–Zamolodchikov equations. Derives driven SU(N) and O(3) models with time-dependent Kondo interactions constrained by integrability.
Time-Dependent Integrable Quantum Field Theories with Dynamical Boundaries
iq.fp2.dev
October 31, 2026 at 10:31 AM
Constructs exact time-dependent integrable quantum field theories on finite intervals using affine spectral coordinates and boundary quantum Knizhnik–Zamolodchikov equations. Derives driven SU(N) and O(3) models with time-dependent Kondo interactions constrained by integrability.
Study reveals quantum spin systems with long-range ferromagnetic couplings fail to thermalize, instead forming long-range quantum correlations. Eigenstate atypicality—not integrability—drives this breakdown, transforming non-thermal states into quantum resources for quantum-en...
Long-Range Interactions Break Quantum Thermalization via Eigenstate Atypicality
arxiv.org
October 31, 2026 at 4:27 AM
Study reveals quantum spin systems with long-range ferromagnetic couplings fail to thermalize, instead forming long-range quantum correlations. Eigenstate atypicality—not integrability—drives this breakdown, transforming non-thermal states into quantum resources for quantum-en...
But technically I think this is more analogous to a massive weakly interacting qft (modulo integrability perhaps)
October 29, 2026 at 3:31 PM
But technically I think this is more analogous to a massive weakly interacting qft (modulo integrability perhaps)
Cheng Bi, Ruichen Sun: $L^p$ integrability of functions with Fourier support on High codimension manifolds https://arxiv.org/abs/2610.39739 https://arxiv.org/pdf/2610.39739 https://arxiv.org/html/2610.39739
October 30, 2026 at 6:46 AM
Cheng Bi, Ruichen Sun: $L^p$ integrability of functions with Fourier support on High codimension manifolds https://arxiv.org/abs/2610.39739 https://arxiv.org/pdf/2610.39739 https://arxiv.org/html/2610.39739
Ian Le Meur, Fiona K. Seibold: Breaking of integrability in elliptic deformations of AdS3 strings with mixed flux https://arxiv.org/abs/2610.40386 https://arxiv.org/pdf/2610.40386 https://arxiv.org/html/2610.40386
October 30, 2026 at 6:55 AM
Ian Le Meur, Fiona K. Seibold: Breaking of integrability in elliptic deformations of AdS3 strings with mixed flux https://arxiv.org/abs/2610.40386 https://arxiv.org/pdf/2610.40386 https://arxiv.org/html/2610.40386
Zimo Hao, Khoa L\^e: Well-posedness of Rough Differential Equations at the Krylov-R\"ockner Integrability Threshold https://arxiv.org/abs/2610.39153 https://arxiv.org/pdf/2610.39153 https://arxiv.org/html/2610.39153
October 30, 2026 at 6:50 AM
Zimo Hao, Khoa L\^e: Well-posedness of Rough Differential Equations at the Krylov-R\"ockner Integrability Threshold https://arxiv.org/abs/2610.39153 https://arxiv.org/pdf/2610.39153 https://arxiv.org/html/2610.39153
Alireza Poshtkohi, Susanne Pumpluen
A Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamics
https://arxiv.org/abs/2610.34202
A Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamics
https://arxiv.org/abs/2610.34202
October 27, 2026 at 2:57 PM
Alireza Poshtkohi, Susanne Pumpluen
A Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamics
https://arxiv.org/abs/2610.34202
A Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamics
https://arxiv.org/abs/2610.34202
Masato Nozawa
Exact spinning wormholes in five dimensions from Toda integrability
https://arxiv.org/abs/2610.34672
Exact spinning wormholes in five dimensions from Toda integrability
https://arxiv.org/abs/2610.34672
October 27, 2026 at 10:33 AM
Masato Nozawa
Exact spinning wormholes in five dimensions from Toda integrability
https://arxiv.org/abs/2610.34672
Exact spinning wormholes in five dimensions from Toda integrability
https://arxiv.org/abs/2610.34672
Exact spinning wormholes in five dimensions from Toda integrability
https://arxiv.org/pdf/2610.34672
Masato Nozawa.
https://arxiv.org/pdf/2610.34672
Masato Nozawa.
https://arxiv.org/abs/2610.34672
arXiv abstract link
arxiv.org
October 27, 2026 at 9:34 AM
Exact spinning wormholes in five dimensions from Toda integrability
https://arxiv.org/pdf/2610.34672
Masato Nozawa.
https://arxiv.org/pdf/2610.34672
Masato Nozawa.
Masato Nozawa: Exact spinning wormholes in five dimensions from Toda integrability https://arxiv.org/abs/2610.34672 https://arxiv.org/pdf/2610.34672 https://arxiv.org/html/2610.34672
October 27, 2026 at 6:53 AM
Masato Nozawa: Exact spinning wormholes in five dimensions from Toda integrability https://arxiv.org/abs/2610.34672 https://arxiv.org/pdf/2610.34672 https://arxiv.org/html/2610.34672
Alireza Poshtkohi, Susanne Pumpluen: A Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamics https://arxiv.org/abs/2610.34202 https://arxiv.org/pdf/2610.34202 https://arxiv.org/html/2610.34202
October 27, 2026 at 6:47 AM
Alireza Poshtkohi, Susanne Pumpluen: A Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamics https://arxiv.org/abs/2610.34202 https://arxiv.org/pdf/2610.34202 https://arxiv.org/html/2610.34202
🔄 Updated Arxiv Paper
Title: On the $q$-integrability of $p$-Wasserstein barycenters
Authors: Camilla Brizzi, Lorenzo Portinale
Read more: https://arxiv.org/abs/2602.18293
Title: On the $q$-integrability of $p$-Wasserstein barycenters
Authors: Camilla Brizzi, Lorenzo Portinale
Read more: https://arxiv.org/abs/2602.18293
October 26, 2026 at 8:02 AM
🔄 Updated Arxiv Paper
Title: On the $q$-integrability of $p$-Wasserstein barycenters
Authors: Camilla Brizzi, Lorenzo Portinale
Read more: https://arxiv.org/abs/2602.18293
Title: On the $q$-integrability of $p$-Wasserstein barycenters
Authors: Camilla Brizzi, Lorenzo Portinale
Read more: https://arxiv.org/abs/2602.18293