PUB - Publikationen an der Universität Bielefeld

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• [25]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980770

  Burger, M., et al., 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), p 4441–4490.

  PUB | DOI | WoS
   
• [22]
  

  2023 | Preprint | PUB-ID: 2980768

  Erbar, M., et al., 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., et al., 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), p 687-717.

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980844

  Erbar, M., et al., 2022. Tamed spaces – Dirichlet spaces with distribution-valued Ricci bounds. Journal de Mathématiques Pures et Appliquées, 161, p 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), p 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), p 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), p 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), p 108607.

  PUB | DOI | WoS
   
• [15]
  

  2020 | Zeitschriftenaufsatz | PUB-ID: 2980841

  Erbar, M., et al., 2020. Computation of optimal transport on discrete metric measure spaces. Numer. Math., 144(1), p 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), p 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), p 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, p 123-154.

  PUB | DOI
   
• [11]
  

  2017 | Zeitschriftenaufsatz | PUB-ID: 2980845

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

  PUB | DOI
   
• [10]
  

  2016 | Zeitschriftenaufsatz | PUB-ID: 2980857

  Erbar, M., et al., 2016. Gradient flow structure for McKean-Vlasov equations on discrete spaces. Discrete Contin. Dyn. Syst., 36(12), p 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, p 77-134.

  PUB | DOI
   
• [8]
  

  2015 | Zeitschriftenaufsatz | PUB-ID: 2980853

  Erbar, M., Maas, J., & Renger, D.R.M., 2015. From large deviations to Wasserstein gradient flows in multiple dimensions. Electron. Commun. Probab., 20, p 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), p 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), p 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), p 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), p 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), p 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), p 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), p 1-23.

  PUB | DOI