PUB - Publikationen an der Universität Bielefeld

Alle markieren

• [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. Springer. doi:10.1007/s00205-024-02065-w.

  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. EDP Sciences. doi:10.1051/cocv/2024008.

  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. European Mathematical Society. doi:10.4171/JEMS/1349.

  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. American Institute of Mathematical Sciences. doi:10.3934/nhm.2022023.

  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. Elsevier. doi:10.1016/j.matpur.2022.02.002.

  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. doi:10.1002/cpa.21977.

  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. European Mathematical Society (EMS). doi:10.4171/jems/1010.

  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. doi:10.30757/alea.v17-18.

  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. Academic Press Inc Elsevier Science. doi:10.1016/j.jfa.2020.108607.

  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. doi:10.1007/s00211-019-01077-z.

  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. doi:10.1007/s00526-018-1456-1.

  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. doi:10.1016/j.jfa.2018.03.011.

  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. doi:10.1016/j.matpur.2017.07.006.

  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. doi:10.1214/17-EJP49.

  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. doi:10.3934/dcds.2016096.

  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. doi:10.1016/j.na.2015.12.006.

  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, no. 89, 12. doi:10.1214/ECP.v20-4315.

  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. doi:10.5802/afst.1464.

  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. doi:10.1007/s00526-014-0790-1.

  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. doi:10.1007/s00222-014-0563-7.

  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. doi:10.1214/12-AIHP537.

  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. doi:10.3934/dcds.2014.34.1355.

  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. doi:10.1007/s00205-012-0554-z.

  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. Institute of Mathematical Statistics (IMS). doi:10.1214/08-AIHP306.

  PUB | DOI