@article{15173,
  abstract     = {We show that the number of linear spaces on a set of n points and the number of rank-3 matroids on a ground set of size n are both of the form (cn+o(n))n2/6, where c=e3√/2−3(1+3–√)/2. This is the final piece of the puzzle for enumerating fixed-rank matroids at this level of accuracy: the numbers of rank-1 and rank-2 matroids on a ground set of size n have exact representations in terms of well-known combinatorial functions, and it was recently proved by van der Hofstad, Pendavingh, and van der Pol that for constant r≥4 there are (e1−rn+o(n))nr−1/r! rank-r matroids on a ground set of size n. In our proof, we introduce a new approach for bounding the number of clique decompositions of a complete graph, using quasirandomness instead of the so-called entropy method that is common in this area.},
  author       = {Kwan, Matthew Alan and Sah, Ashwin and Sawhney, Mehtaab},
  issn         = {1778-3569},
  journal      = {Comptes Rendus Mathematique},
  number       = {G2},
  pages        = {565--575},
  publisher    = {Academie des Sciences},
  title        = {{Enumerating matroids and linear spaces}},
  doi          = {10.5802/crmath.423},
  volume       = {361},
  year         = {2023},
}

@article{22182,
  abstract     = {We present a short new proof of the canonical polynomial van der Waerden theorem, recently established by Girão.},
  author       = {Fox, Jacob and Wigderson, Yuval and Zhao, Yufei},
  issn         = {1778-3569},
  journal      = {Comptes Rendus Mathématique},
  number       = {8},
  pages        = {957--959},
  publisher    = {Académie des Sciences},
  title        = {{A short proof of the canonical polynomial van der Waerden theorem}},
  doi          = {10.5802/crmath.101},
  volume       = {358},
  year         = {2020},
}

@article{409,
  abstract     = {We give a simple proof of T. Stehling's result [4], whereby in any normal tiling of the plane with convex polygons with number of sides not less than six, all tiles except a finite number are hexagons.},
  author       = {Akopyan, Arseniy},
  issn         = {1631-073X},
  journal      = {Comptes Rendus Mathematique},
  number       = {4},
  pages        = {412--414},
  publisher    = {Elsevier},
  title        = {{On the number of non-hexagons in a planar tiling}},
  doi          = {10.1016/j.crma.2018.03.005},
  volume       = {356},
  year         = {2018},
}

@article{2737,
  abstract     = {We derive the time-dependent Schrödinger–Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential.},
  author       = {Bardos, Claude and Erdös, László and Golse, François and Mauser, Norbert and Yau, Horng},
  issn         = {1631-073X},
  journal      = {Comptes Rendus Mathematique},
  number       = {6},
  pages        = {515 -- 520},
  publisher    = {Elsevier},
  title        = {{Derivation of the Schrödinger-Poisson equation from the quantum N-body problem}},
  doi          = {10.1016/S1631-073X(02)02253-7},
  volume       = {334},
  year         = {2002},
}