output
20022026
most citedInstabilities, breathers and rogue waves in optics

967 citations

583 papers

math.NT2026

Construction Of Non-Odd Galois Representations With Large Image

Donghyeok Lim, Christian Maire

In this work, we construct Galois representations with large image that are not GL r -odd (or, equivalently, not regular at infinity). More precisely, for every prime p {\v e} 3, e…

cs.AI2026

Risk Is Not the Target: A Monotonic Framework for Evaluating Wildfire Operational Risk Signals

Nicolas Caron, Christophe Guyeux, Hassan Noura +2

Evaluating wildfire risk systems using standard machine-learning metrics such as F1-score or IoU is fundamentally flawed: these metrics assess event prediction accuracy, not the op…

cs.LG2026

Data-Driven Fire-Zone Segmentation for Improved Short-Term Wildfire Prediction

Nicolas Caron, Christophe Guyeux, Hassan Noura +1

Wildfire prediction models typically discretize study areas into uniform grids, ignoring the heterogeneous spatial distribution of ignitions. We challenge this paradigm by showing…

math.NT2026

Indivisibility of ray class groups of real quadratic fields

Emmanuel Lecouturier, Christian Maire

Let , p 5 be primes such that p | ( -1). Let > 0 be the fundamental discriminant of a real quadratic field in which splits. We denote by h - ${\e…

cs.FL2026

Representing One Letter Weighted Automata Over the Tropical Semiring

Shaull Almagor, Ismaël Jecker, Filip Mazowiecki +3

We consider weighted automata over the tropical semiring . Recently, it was shown that determinisation is decidable; in this paper we focus on the comple…

math.OC2026

PH-KAN: Port-Hamiltonian Kolmogorov-Arnold Network

Achraf El Messaoudi, Karim Cherifi, Yann Le Gorrec +1

Data-driven machine learning approaches have become increasingly attractive for nonlinear system identification, but standard models often fail to preserve the underlying physical…