output
19932026
most citedTraining Schrödinger's cat: quantum optimal control

779 citations

1,040 papers

cs.DS2026

(Un)ranking Permutation Classes

Nathanaël Hassler, Vincent Vajnovszki

Permutations avoiding a pattern of length three are enumerated by the Catalan numbers. In this work, we present methods for ranking and unranking such permutations in lexicographic…

cs.DM2026

Fibonacci and Catalan Numbers Meet in Staircase Polyominoes

Jean-Luc Baril, José Luis Ramírez, Samuel Ramírez +1

We study Fibonacci (staircase) polyominoes, a class of column-convex polyominoes whose lower boundary is a staircase with unit vertical steps. We derive multivariate generating fun…

math.AP2026

Slow-fast system in Rosales-Majda combustion model with fractional order kinetics

Claude-Michel Brauner, Jinlong Jing, Robert Roussarie

We consider traveling wave solutions of a one-dimensional model for detonation waves derived by Rosales and Majda, when the reaction order belongs to . The chemical kine…

math.PR2026★ 1 cited

Beta distribution and associated Stirling numbers of the second kind

Jakub Gismatullin, Patrick Tardivel

This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this f…

physics.optics2025

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…

math.AG2025

Ulrich and Instanton Bundles on Special Cubic Fourfolds

Gianfranco Casnati, Daniele Faenzi, Federica Galluzzi

We study instanton and Ulrich bundles on hypersurfaces of the projective space, with a focus on special cubic fourfolds and generalized Pfaffians, notably defined by skew-symmetric…