PUB - Publikationen an der Universität Bielefeld

Alle markieren

• [25]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980770

  M. Burger, et al., “Covariance-modulated optimal transport and gradient flows”, Archive for Rational Mechanics and Analysis , vol. 249, 2025, : 7.

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

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980769

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

  PUB | DOI | WoS | arXiv
   
• [23]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980771

  M. Erbar, “A gradient flow approach to the Boltzmann equation”, Journal of the European Mathematical Society (JEMS) , vol. 26, 2023, pp. 4441–4490.

  PUB | DOI | WoS
   
• [22]
  

  2023 | Preprint | PUB-ID: 2980768

  M. Erbar, et al., “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

  M. Erbar, et al., “Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph”, Networks and Heterogeneous Media: An Applied Mathematics Journal, vol. 17, 2022, pp. 687-717.

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980844

  M. Erbar, et al., “Tamed spaces – Dirichlet spaces with distribution-valued Ricci bounds”, Journal de Mathématiques Pures et Appliquées, vol. 161, 2022, pp. 1-69.

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

  2021 | Zeitschriftenaufsatz | PUB-ID: 2980854

  M. Erbar, M. Huesmann, and T. Leblé, “The one-dimensional log-gas free energy has a unique minimizer”, Comm. Pure Appl. Math., vol. 74, 2021, pp. 615-675.

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

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980840

  M. Erbar and K.-T. Sturm, “Rigidity of cones with bounded Ricci curvature”, J. Eur. Math. Soc. (JEMS), vol. 23, 2021, pp. 219-235.

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

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980838

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

  PUB | DOI
   
• [16]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980839

  M. Erbar and E. Kopfer, “Super Ricci flows for weighted graphs”, J. Funct. Anal., vol. 279, 2020, pp. 108607.

  PUB | DOI | WoS
   
• [15]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980841

  M. Erbar, et al., “Computation of optimal transport on discrete metric measure spaces”, Numer. Math., vol. 144, 2020, pp. 157-200.

  PUB | DOI
   
• [14]
  

  2019 | Zeitschriftenaufsatz | PUB-ID: 2980843

  M. Erbar, J. Maas, and M. Wirth, “On the geometry of geodesics in discrete optimal transport”, Calc. Var. Partial Differential Equations, vol. 58, 2019, pp. Paper No. 19, 19.

  PUB | DOI
   
• [13]
  

  2018 | Zeitschriftenaufsatz | PUB-ID: 2980849

  M. Erbar and M. Fathi, “Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature”, J. Funct. Anal., vol. 274, 2018, pp. 3056-3089.

  PUB | DOI
   
• [12]
  

  2018 | Zeitschriftenaufsatz | PUB-ID: 2980842

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

  PUB | DOI
   
• [11]
  

  2017 | Zeitschriftenaufsatz | PUB-ID: 2980845

  M. Erbar, et al., “Ricci curvature bounds for weakly interacting Markov chains”, Electron. J. Probab., vol. 22, 2017, pp. Paper No. 40, 23.

  PUB | DOI
   
• [10]
  

  2016 | Zeitschriftenaufsatz | PUB-ID: 2980857

  M. Erbar, et al., “Gradient flow structure for McKean-Vlasov equations on discrete spaces”, Discrete Contin. Dyn. Syst., vol. 36, 2016, pp. 6799-6833.

  PUB | DOI
   
• [9]
  

  2016 | Zeitschriftenaufsatz | PUB-ID: 2980846

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

  PUB | DOI
   
• [8]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980853

  M. Erbar, J. Maas, and D.R.M. Renger, “From large deviations to Wasserstein gradient flows in multiple dimensions”, Electron. Commun. Probab., vol. 20, 2015, pp. no. 89, 12.

  PUB | DOI
   
• [7]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980851

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

  PUB | DOI
   
• [6]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980837

  M. Erbar and M. Huesmann, “Curvature bounds for configuration spaces”, Calc. Var. Partial Differential Equations, vol. 54, 2015, pp. 397-430.

  PUB | DOI
   
• [5]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980836

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

  PUB | DOI
   
• [4]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980848

  M. Erbar, “Gradient flows of the entropy for jump processes”, Ann. Inst. Henri Poincaré Probab. Stat., vol. 50, 2014, pp. 920-945.

  PUB | DOI
   
• [3]
  

  2014 | Zeitschriftenaufsatz | PUB-ID: 2980850

  M. Erbar and J. Maas, “Gradient flow structures for discrete porous medium equations”, Discrete Contin. Dyn. Syst., vol. 34, 2014, pp. 1355-1374.

  PUB | DOI
   
• [2]
  

  2012 | Zeitschriftenaufsatz | PUB-ID: 2980852

  M. Erbar and J. Maas, “Ricci curvature of finite Markov chains via convexity of the entropy”, Arch. Ration. Mech. Anal., vol. 206, 2012, pp. 997-1038.

  PUB | DOI
   
• [1]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980858

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

  PUB | DOI