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Number of documents

19


Journal articles14 documents

  • Constantin Vernicos. Approximability of convex bodies and volume entropy of Hilbert geometries. Pacific Journal of Mathematics, 2017, 287 (1), pp.223-256. ⟨10.2140/pjm.2017.287.223⟩. ⟨hal-00819134⟩
  • Constantin Vernicos. On the Hilbert geometry of products. Proceedings of the American Mathematical Society, American Mathematical Society, 2015, 143 (7), pp.3111-3121. ⟨10.1090/S0002-9939-2015-12504-X⟩. ⟨hal-01160273⟩
  • Constantin Vernicos. Lipschitz Characterisation of convex Polytopal Hilbert Geometries. Osaka Journal of Mathematics, Osaka University, 2015, 52 (1), pp.215-235. ⟨hal-01160272⟩
  • Constantin Vernicos. Asymptotic volume in Hilbert geometries. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2013, 62 (5), pp.1431--1441. ⟨hal-01160274⟩
  • Bertrand Deroin, Constantin Vernicos. Feuilletage de Hirsch, mesure harmonique, et g-mesure. Publicaciones Matemáticas del Uruguay, 2011, 12, pp.79-85. ⟨hal-00819139⟩
  • Bruno Colbois, Constantin Vernicos, Patrick Verovic. Hilbert geometry for convex polygonal domains. Journal of Geometry, Springer Verlag, 2011, 100, pp.37-64. ⟨10.1007/s00022-011-0066-2⟩. ⟨hal-00271373⟩
  • Gautier Berck, Andreas Bernig, Constantin Vernicos. Volume entropy of Hilbert Geometries. Pacific Journal of Mathematics, 2010, 245, pp.201-225. ⟨10.2140/pjm.2010.245.201⟩. ⟨hal-00819143⟩
  • Constantin Vernicos. Spectral Radius and Amenability in Hilbert Geometries. Houston Journal of Mathematics, 2009, 35 (4), pp.1143-1169. ⟨hal-00819163⟩
  • Bruno Colbois, Constantin Vernicos, Patrick Verovic. Area of ideal triangles and Gromov hyperbolicity in Hilbert Geometry. Illinois Journal of Mathematics, 2008, 52 (1), pp.319-343. ⟨10.1215/ijm/1242414133⟩. ⟨hal-00819173⟩
  • Bruno Colbois, Constantin Vernicos. Les géométries de Hilbert sont à géométrie locale bornée. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2007, 57 (4), pp.1359-1375. ⟨hal-00022975⟩
  • Bruno Colbois, Constantin Vernicos. Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane.. Bulletin de la société mathématique de France, Société Mathématique de France, 2006, 134 (3), pp.357--381. ⟨10.24033/bsmf.2513⟩. ⟨hal-01160276⟩
  • Constantin Vernicos. The macroscopic spectrum of nilmanifolds with an emphasis on the heisenberg groups. Commentarii Mathematici Helvetici, European Mathematical Society, 2005, 80 (2), pp.293--315. ⟨10.4171/CMH/15⟩. ⟨hal-01160277⟩
  • Constantin Vernicos. The macroscopic sound of tori. Pacific Journal of Mathematics, 2004, 213 (1), pp.121--156. ⟨10.2140/pjm.2004.213.121⟩. ⟨hal-01160278⟩
  • Paul-Andi Nagy, Constantin Vernicos. The Length of Harmonic Forms on a Compact Riemannian Manifold. Transactions of the American Mathematical Society, American Mathematical Society, 2004, 356 (6), pp.2501--2513 (electronic). ⟨10.1090/S0002-9947-04-03546-9⟩. ⟨hal-01160279⟩

Book sections2 documents

  • Constantin Vernicos. On the Hilbert geometry of convex polytopes. Handbook of Hilbert geometry, 22, pp.111-125, 2014, RMA Lectures in Mathematics and Theoretical Physics, 978-3-03719-147-7. ⟨10.4171/147-1/4⟩. ⟨hal-01519108⟩
  • Constantin Vernicos. Sur l'entropie volumique des géométries de Hilbert. Séminaire de Théorie Spectrale et Géométrie, Vol. 26. Année 2007―2008, 26, Univ. Grenoble I, pp.155--176, 2008. ⟨hal-01160275⟩

Preprints, Working Papers, ...2 documents

  • Constantin Vernicos. Convex compact surfaces with no bound on their synthetic Ricci curvature. 2018. ⟨hal-01922868⟩
  • Constantin Vernicos, Cormac Walsh. Flag-approximability of convex bodies and volume growth of Hilbert geometries. 2016. ⟨hal-01423693⟩

Theses1 document

  • Constantin Vernicos. Spectres asymptotiques des nilvariétés graduées. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2001. Français. ⟨tel-00000950⟩