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. Covariance-modulated optimal transport and gradient flows. Archive for Rational Mechanics and Analysis . 2025;249(1): 7.

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

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980769

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

  PUB | DOI | WoS | arXiv
   
• [23]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980771

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

  PUB | DOI | WoS
   
• [22]
  

  2023 | Preprint | PUB-ID: 2980768

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

  PUB | arXiv
   
• [21]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980855

  Erbar M, Forkert D, Maas J, Mugnolo D. Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media: An Applied Mathematics Journal. 2022;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. Tamed spaces – Dirichlet spaces with distribution-valued Ricci bounds. Journal de Mathématiques Pures et Appliquées. 2022;161:1-69.

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

  2021 | Zeitschriftenaufsatz | PUB-ID: 2980854

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

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

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980840

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

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

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980838

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

  PUB | DOI
   
• [16]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980839

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

  PUB | DOI | WoS
   
• [15]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980841

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

  PUB | DOI
   
• [14]
  

  2019 | Zeitschriftenaufsatz | PUB-ID: 2980843

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

  PUB | DOI
   
• [13]
  

  2018 | Zeitschriftenaufsatz | PUB-ID: 2980849

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

  PUB | DOI
   
• [12]
  

  2018 | Zeitschriftenaufsatz | PUB-ID: 2980842

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

  PUB | DOI
   
• [11]
  

  2017 | Zeitschriftenaufsatz | PUB-ID: 2980845

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

  PUB | DOI
   
• [10]
  

  2016 | Zeitschriftenaufsatz | PUB-ID: 2980857

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

  PUB | DOI
   
• [9]
  

  2016 | Zeitschriftenaufsatz | PUB-ID: 2980846

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

  PUB | DOI
   
• [8]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980853

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

  PUB | DOI
   
• [7]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980851

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

  PUB | DOI
   
• [6]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980837

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

  PUB | DOI
   
• [5]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980836

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

  PUB | DOI
   
• [4]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980848

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

  PUB | DOI
   
• [3]
  

  2014 | Zeitschriftenaufsatz | PUB-ID: 2980850

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

  PUB | DOI
   
• [2]
  

  2012 | Zeitschriftenaufsatz | PUB-ID: 2980852

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

  PUB | DOI
   
• [1]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980858

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

  PUB | DOI