Université de Bourgogne

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…

math.GR2026

Spaces Related to Virtual Artin Groups

Federica Gavazzi

This work explores the topological properties of virtual Artin groups, a recent extension of the ``virtual" concept - initially developed for braids - to all Artin groups, as intro…

math.AG2026

Higher-rank instantons sheaves on Fano threefolds

Gaia Comaschi, Daniele Faenzi

We define instanton sheaves of higher rank on smooth Fano threefolds X of Picard rank one and show that their topological classification depends on two integers, namely the rank n…

cs.DS2026

(Un)ranking Permutation Classes

NathanaÃ«l 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

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.PR2026

Construction of ergodic IDLA forests in $Z^{d}$

Nicolas Chenavier, David Coupier, Keenan Penner +1

We prove the existence of infinite-volume IDLA forests in $Z^{d}$ , with $d \geq 2$ , based on a multi-source IDLA protocol. Unlike IDLA aggregates, the laws of the IDLA fore…