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 . 249, : 7 (2025).

  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 . 30, : 64 (2024).

  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) . 26, 4441–4490 (2023).

  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. 17, 687-717 (2022).

  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. 161, 1-69 (2022).

  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. 74, 615-675 (2021).

  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). 23, 219-235 (2021).

  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. 17, 445-471 (2020).

  PUB | DOI
   
• [16]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980839

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

  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. 144, 157-200 (2020).

  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. 58, Paper No. 19, 19 (2019).

  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. 274, 3056-3089 (2018).

  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). 110, 123-154 (2018).

  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. 22, Paper No. 40, 23 (2017).

  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. 36, 6799-6833 (2016).

  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. 137, 77-134 (2016).

  PUB | DOI
   
• [8]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980853

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

  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). 24, 781-800 (2015).

  PUB | DOI
   
• [6]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980837

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

  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. 201, 993-1071 (2015).

  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. 50, 920-945 (2014).

  PUB | DOI
   
• [3]
  

  2014 | Zeitschriftenaufsatz | PUB-ID: 2980850

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

  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. 206, 997-1038 (2012).

  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. 46, 1-23 (2010).

  PUB | DOI