In integrable one-dimensional systems hydrodynamic noise vanishes according to a projected Kubo formula, yielding a ballistic macroscopic fluctuation theory that describes all-order hydrodynamics.
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Symmetric tensor ranks of finite-field multiplication are recast as linear-algebra spanning problems over finite fields, with new criteria, recovered values for small degrees, and a matching invariant for one-dimensional Gabidulin codes.
A framework for structure-preserving integrators of nonholonomic systems on Lie groups via retraction maps, specialized using symmetries and illustrated on the Suslov problem.
Derives a unified leading-order system from Euler equations via Weyl quantization of the Dirichlet-to-Neumann operator, from which the wave action, mild-slope, Schrödinger, and action-balance equations emerge as consistent limits.
Linear stability analysis shows the algebraic-hyperbolic formulation of constraint equations is unstable near FLRW but can be stable for Gowdy spacetimes and subclasses with Fourier-based methods.
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Symmetric Tensor Decompositions over Finite Fields
Symmetric tensor ranks of finite-field multiplication are recast as linear-algebra spanning problems over finite fields, with new criteria, recovered values for small degrees, and a matching invariant for one-dimensional Gabidulin codes.
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Geometric Integrators for Nonholonomic Systems on Lie Groups
A framework for structure-preserving integrators of nonholonomic systems on Lie groups via retraction maps, specialized using symmetries and illustrated on the Suslov problem.