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8 papers

physics.optics2026

Spatio-temporal equilibrium thermodynamics of guided optical waves at positive and negative temperatures

Lucas Zanaglia, Josselin Garnier, Claire Michel +5

Optical thermalization has been recently studied in the 2D spatial evolution of (quasi-)monochromatic light waves propagating in multimode waveguides. Here, we investigate the spat…

cs.SE2026

OxyMake: A Formally-Specified, Content-Addressable Workflow Engine

Emmanuel Sérié

Make-lineage workflow runners decide whether a job must re-run from file-modification time (mtime, a timestamp) -- a broken proxy for the question that matters: did the content cha…

math.NA2026

A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms

Giuseppe Orlando, Ward Haegeman, Marica Pelanti +1

We present a robust computational framework for the numerical solution of a hyperbolic 6-equation single-velocity two-phase system. The system's main interest is that, when combine…

math.AP2026

Eigenvalue falls in thin broken quantum strips

Lucas Chesnel, Sergei A. Nazarov

We are interested in the spectrum of the Dirichlet Laplacian in thin broken strips with angle . Playing with symmetries, this leads us to investigate spectral problems for the…

math.PR2026

Exponentially Fading Memory Signature

Eduardo Abi Jaber, Dimitri Sotnikov

We introduce the exponentially fading memory (EFM) signature, a time-invariant transformation of an infinite (possibly rough) path that serves as a mean-reverting analogue of the c…

cs.CE2026

High-order adaptive discontinuous finite elements for the shallow water equations with sub-grid irregular bathymetry

Luca Arpaia, Giuseppe Orlando, Christian Ferrarin +1

We present a discontinuous finite element method for the shallow water equations which exploits high-resolution realistic bathymetry data without any regularity assumption, also in…