PUB - Publikationen an der Universität Bielefeld

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• [25]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980770

  Burger M, Erbar M, Hoffmann F, Matthes D, Schlichting A (2025)
  Covariance-modulated optimal transport and gradient flows.
  Archive for Rational Mechanics and Analysis 249(1): 7.

  PUB | PDF | DOI | WoS | arXiv
   
• [24]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980769

  Erbar M, Justiniano J, Rumpf M (2024)
  Approximation of splines in Wasserstein spaces.
  ESAIM:Control, Optimisation and Calculus of Variations 30: 64.

  PUB | DOI | WoS | arXiv
   
• [23]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980771

  Erbar M (2023)
  A gradient flow approach to the Boltzmann equation.
  Journal of the European Mathematical Society (JEMS) 26(11): 4441–4490.

  PUB | DOI | WoS
   
• [22]
  

  2023 | Preprint | PUB-ID: 2980768

  Erbar M, Huesmann M, Jalowy J, M\ B (2023)
  Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropy.
  arXiv:2304.11145.

  PUB | arXiv
   
• [21]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980855

  Erbar M, Forkert D, Maas J, Mugnolo D (2022)
  Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph.
  Networks and Heterogeneous Media: An Applied Mathematics Journal 17(5): 687-717.

  PUB | DOI | Download (ext.) | WoS
   
• [20]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980844

  Erbar M, Rigoni C, Sturm K-T, Tamanini L (2022)
  Tamed spaces – Dirichlet spaces with distribution-valued Ricci bounds.
  Journal de Mathématiques Pures et Appliquées 161: 1-69.

  PUB | DOI | Download (ext.) | WoS
   
• [19]
  

  2021 | Zeitschriftenaufsatz | PUB-ID: 2980854

  Erbar M, Huesmann M, Leblé T (2021)
  The one-dimensional log-gas free energy has a unique minimizer.
  Comm. Pure Appl. Math. 74(3): 615-675.

  PUB | PDF | DOI | Download (ext.)
   
• [18]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980840

  Erbar M, Sturm K-T (2021)
  Rigidity of cones with bounded Ricci curvature.
  J. Eur. Math. Soc. (JEMS) 23(1): 219-235.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [17]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980838

  Erbar M, Fathi M, Schlichting A (2020)
  Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces.
  ALEA Lat. Am. J. Probab. Math. Stat. 17(1): 445-471.

  PUB | DOI
   
• [16]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980839

  Erbar M, Kopfer E (2020)
  Super Ricci flows for weighted graphs.
  J. Funct. Anal. 279(6): 108607.

  PUB | DOI | WoS
   
• [15]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980841

  Erbar M, Rumpf M, Schmitzer B, Simon S (2020)
  Computation of optimal transport on discrete metric measure spaces.
  Numer. Math. 144(1): 157-200.

  PUB | DOI
   
• [14]
  

  2019 | Zeitschriftenaufsatz | PUB-ID: 2980843

  Erbar M, Maas J, Wirth M (2019)
  On the geometry of geodesics in discrete optimal transport.
  Calc. Var. Partial Differential Equations 58(1): Paper No. 19, 19.

  PUB | DOI
   
• [13]
  

  2018 | Zeitschriftenaufsatz | PUB-ID: 2980849

  Erbar M, Fathi M (2018)
  Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature.
  J. Funct. Anal. 274(11): 3056-3089.

  PUB | DOI
   
• [12]
  

  2018 | Zeitschriftenaufsatz | PUB-ID: 2980842

  Erbar M, Juillet N (2018)
  Smoothing and non-smoothing via a flow tangent to the Ricci flow.
  J. Math. Pures Appl. (9) 110: 123-154.

  PUB | DOI
   
• [11]
  

  2017 | Zeitschriftenaufsatz | PUB-ID: 2980845

  Erbar M, Henderson C, Menz G, Tetali P (2017)
  Ricci curvature bounds for weakly interacting Markov chains.
  Electron. J. Probab. 22: Paper No. 40, 23.

  PUB | DOI
   
• [10]
  

  2016 | Zeitschriftenaufsatz | PUB-ID: 2980857

  Erbar M, Fathi M, Laschos V, Schlichting A (2016)
  Gradient flow structure for McKean-Vlasov equations on discrete spaces.
  Discrete Contin. Dyn. Syst. 36(12): 6799-6833.

  PUB | DOI
   
• [9]
  

  2016 | Zeitschriftenaufsatz | PUB-ID: 2980846

  Ambrosio L, Erbar M, Savar\'{e} G (2016)
  Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces.
  Nonlinear Anal. 137: 77-134.

  PUB | DOI
   
• [8]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980853

  Erbar M, Maas J, Renger DRM (2015)
  From large deviations to Wasserstein gradient flows in multiple dimensions.
  Electron. Commun. Probab. 20: no. 89, 12.

  PUB | DOI
   
• [7]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980851

  Erbar M, Maas J, Tetali P (2015)
  Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models.
  Ann. Fac. Sci. Toulouse Math. (6) 24(4): 781-800.

  PUB | DOI
   
• [6]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980837

  Erbar M, Huesmann M (2015)
  Curvature bounds for configuration spaces.
  Calc. Var. Partial Differential Equations 54(1): 397-430.

  PUB | DOI
   
• [5]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980836

  Erbar M, Kuwada K, Sturm K-T (2015)
  On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces.
  Invent. Math. 201(3): 993-1071.

  PUB | DOI
   
• [4]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980848

  Erbar M (2014)
  Gradient flows of the entropy for jump processes.
  Ann. Inst. Henri Poincaré Probab. Stat. 50(3): 920-945.

  PUB | DOI
   
• [3]
  

  2014 | Zeitschriftenaufsatz | PUB-ID: 2980850

  Erbar M, Maas J (2014)
  Gradient flow structures for discrete porous medium equations.
  Discrete Contin. Dyn. Syst. 34(4): 1355-1374.

  PUB | DOI
   
• [2]
  

  2012 | Zeitschriftenaufsatz | PUB-ID: 2980852

  Erbar M, Maas J (2012)
  Ricci curvature of finite Markov chains via convexity of the entropy.
  Arch. Ration. Mech. Anal. 206(3): 997-1038.

  PUB | DOI
   
• [1]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980858

  Erbar M (2010)
  The heat equation on manifolds as a gradient flow in the Wasserstein space.
  Annales de l'Institut Henri Poincaré (B): Probability and Statistics 46(1): 1-23.

  PUB | DOI