Results 41 to 50 of about 287 (170)
MathematicsWe develop structure-preserving variational integrators for non-autonomous Lagrangian systems by extending the prolongation–collocation variational integrator framework to explicitly time-dependent dynamics.
Yuanyuan Li +3 more
doaj +1 more source
Time‐Adaptive HénonNets for Separable Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Measurement data is often sampled irregularly, i.e., not on equidistant time grids. This is also true for Hamiltonian systems. However, existing machine learning methods, which learn symplectic integrators, such as SympNets and HénonNets still require training data generated by fixed step sizes.
Konrad Janik, Peter Benner
wiley +1 more source
On the integrability of symplectic Monge–Ampère equations
Journal of Geometry and Physics, 2010 20 pages; added more details of ...
B.Doubrov, E.Ferapontov
openaire +2 more sources
Bayesian Full‐Waveform Monitoring of CO2 Storage With Fluid‐Flow Priors via Generative Modeling
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract Quantitative monitoring of subsurface changes is essential for ensuring the safety of geological CO2 ${\text{CO}}_{2}$ sequestration. Full‐waveform monitoring (FWM) can resolve these changes at high spatial resolution, but conventional deterministic inversion lacks uncertainty quantification and incorporates only limited prior information ...
Haipeng Li +3 more
wiley +1 more source
Probabilistic correlation functions of the Schwarzian field theory
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley +1 more source
ContEvol Formalism: Numerical Methods Based on Hermite Spline Optimization
MathematicsWe present the ContEvol (continuous evolution) formalism, a family of implicit numerical methods which only need to solve linear equations and are almost symplectic.
Kaili Cao
doaj +1 more source
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
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Quantum Theory of Distributed‐Feedback Parametric Amplifiers and Oscillators
Advanced Quantum Technologies, Volume 9, Issue 5, May 2026.A new class of quantum light source is emerging from optical parametric cavities formed by Bragg reflectors, a so‐called distributed‐feedback design. Such devices are especially promising for quantum technologies such as sensing. Here, an analytic quantum model of these sources reveals their key properties, such as the parametric oscillation threshold,
Alex O.C. Davis, Alex I. Flint
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The Lp$L^p$‐diameter of the space of contractible loops
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove that the space of contractible simple loops of a given fixed area in any compact oriented surface has infinite diameter as a homogeneous space of the group of area‐preserving diffeomorphisms endowed with the Lp$L^p$‐metric. As a special case, this resolves the Lp$L^p$‐metric analog of the well‐known question in symplectic topology ...
Michael Brandenbursky, Egor Shelukhin
wiley +1 more source