Jan Kolář

Institute of Mathematics of the Czech Academy of Sciences


Phone (GSM/cell): +420 604 512 914

Publications:

• Derivative of Inverse Mapping and Chain Rule formulas for Gateaux derivatives, theorems and counter-examples
  (authors: M. Fabian, J. Kolář)
  Journal of Convex Analysis, 32:1 (2025) 263-290
  Link to the paper, volume, journal .    ASEP handle
  
• The betweenness relation distinguishes non-similar pairs of concentric circles
  (authors: M. Doležal, J. Kolář, J. Morawiec)
  Preprint: arXiv 2412.02495.
• Betweenness isomorphisms in the plane - the case of a circle and points
  (authors: M. Doležal, J. Kolář, J. Morawiec)
  Advances in Geometry 24:4 (2024) 473-492
  DOI 10.1515/advgeom-2024-0027 . Preprint: arXiv 2310.05708.    ASEP handle
  
• Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices
  (authors: D. Bartl, M. Fabian, J. Kolář)
  Journal of Mathematical Analysis and Applications 516:1 (2022),
  DOI 10.1016/j.jmaa.2022.126491.    ASEP handle
• A Turan-type theorem for large-distance graphs in Euclidean spaces, and related isodiametric problems
  (authors: M. Doležal, J. Hladký, J. Kolář, T. Mitsis, Ch. Pelekis, V. Vlasák)
  Discrete & Computational Geometry 66 (2021) 281-300 (online 2020)
  DOI 10.1007/s00454-020-00183-2.
  Preprint: arXiv 1904.07498.    ASEP handle
• A Turan-type theorem for large-distance graphs in Euclidean spaces, and related isodiametric problems
  (authors: M. Doležal, J. Hladký, J. Kolář, T. Mitsis, Ch. Pelekis, V. Vlasák)
  in Proceedings of the Eurocomb 2019 (European Conference on Combinatorics, Graph Theory and Applications), Bratislava, Slovakia, 26.8.2019 - 30.8.2019, editors: Martin {\v S}koviera, Jaroslav Ne{\v s}et{\v r}il, Acta Mathematica Universitatis Comenianae, 88:3 (2019) 625-629.
  journal, PDF,    ASEP handle
• Possible but not probable: A quantitative analysis of valency behaviour of Czech nouns in the Prague Dependency Treebank
  (authors: V. Kolářová, A. Vernerová, J. Klímová, J. Kolář)
  Jazykovědný Časopis / Journal of Linguistics 68:2 (2017) 208-218
  Online: DOI 10.1515/jazcas-2017-0030 or download at the journal. Alternative download.
• Difference between written and spoken Czech: The case of verbal nouns denoting an action
  (authors: V. Kolářová, J. Kolář, M. Mikulová)
  The Prague Bulletin of Mathematical Linguistics 107 (2017) 19-38
  Online: DOI 10.1515/pralin-2017-0002 or at the journal.
• Extensions of vector-valued functions with preservation of derivatives
  (joint paper with M. Koc)
  Journal of Mathematical Analysis and Applications 449:1 (1st May 2017) 343-367
  Online: DOI 10.1016/j.jmaa.2016.11.080. (ScienceDirect). Preprint: arXiv:1602.05750.
  
• Extensions of vector-valued Baire one functions with preservation of points of continuity
  (joint paper with M. Koc)
  Journal of Mathematical Analysis and Applications 442:1 (2016) 138-148
  Online: DOI 10.1016/j.jmaa.2016.04.052 (ScienceDirect). Preprint: arXiv:1512.03717.
• Non-unique conical and non-conical tangents to rectifiable stationary varifolds in R^4
  Calculus of Variations and Partial Differential Equations 54:2 (2015) 1875-1909
  Online: DOI 10.1007/s00526-015-0847-9. Preprint: arXiv:1303.3677.
• Concentrated monotone measures with non-unique tangential behavior in R³
  (joint paper with R. Cerny and M. Rokyta)
  Czechoslovak Mathematical Journal 61(136):4 (2011) 1141-1167
  MR2886262, Zbl 1249.53006 Available online: Springer, EuDML, DML-CZ, at the journal, DOI 10.1007/s10587-011-0054-6.
• Monotone measures with bad tangential behavior in the plane
  (joint paper with R. Cerny and M. Rokyta)
  Commentat. Math. Univ. Carol. 52:3 (2011) 317-339
  MR2843226, Zbl 1249.49019 Available online: EuDML, DML-CZ.
• Integral functionals that are continuous with respect to the weak topology on W₀^1,p(Omega)
  (joint paper with R. Cerny and S. Hencl)
  Nonlinear Analysis: Theory, Methods & Applications 71:7-8 (2009) 2753-2763
  MR2532801 Available online: DOI 10.1016/j.na.2009.01.117
• Whitney functions and critical functions
  submitted
• Non-regular tangential behaviour of a monotone measure
  Bull. London Math. Soc. 38 (2006) 657-666
  MR2250758 Zbl 1115.49031 Available online: DOI 10.1112/S0024609306018637 [preprint ps]
• Integral functionals that are continuous with respect to the weak topology on W₀^1,p(0,1)
  (joint paper with S. Hencl and O. Pangrac)
  Nonlinear Analysis: Theory, Methods & Applications 63:1 (2005) 81-87
  MR2167316 [Available online: Elsevier] [author version:pdf] [the journal]
• Gradient ranges of bumps on the plane
  (joint paper with J. Kristensen)
  Proceedings of the American Mathematical Society 133 (2005), no. 6, 1699-1706
  [Available online]
• The set of gradients of a bump
  (joint paper with J. Kristensen)
  submitted
  [preprint MPI 64/2002]
• Filling analytic sets by the derivatives of C¹-smooth bumps
  (joint paper with M. Fabian and O. Kalenda)
  Proceedings of the American Mathematical Society 133 (2005), no. 1, 295-303
  [Available online]
• Non-compact lamination convex hulls
  Annales de l'Institut Henri Poincare (C) Non Linear Analysis 20 (2003), No. 3, 391-403
  Online: EuDML, DOI 10.1016/S0294-1449(02)00007-0, preprint MPI 17/2001, Scopus, MR1972868 (2004b:49030)
• Porosity and compacta with dense ambiguous loci of metric projections,
  Acta Universitatis Carolinae - Mathematica et Physica 39 (1998), 119-125
  Online: EuDML
  MR 1696600 (2000m:41050)  
• Nondifferentiability properties of typical continuous functions, porous sets, and Haar null sets
  (Lodz conference talk abstract)
  Real Analysis Exchange 25, 1999/2000, 19-20,
• Simultaneous extension operators for the density topology
  Real Analysis Exchange 25, 1999/2000, 223-230
  MR 1758003 (2001b:54020)
• Porous sets that are Haar null, and nowhere approximately differentiable functions
  Proceedings of the American Mathematical Society 129 (2001), 1403-1408
  [Available online] MR 1814166 (2003d:28021) ZB 01566199
• Simultaneous solutions of the weak Dirichlet problem
  (joint paper with J. Lukeš)
  Potential Analysis 15 (1-2), (2001), 17-21
  Available online: DOI 10.1023/A:1011256626660
  MR 2002c:31013

Awards:

• 2002, Award of Mathematics Research Section of the Union of Czech Mathematicians and Physicists
• 2006, Otto Wichterle Award