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. (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): 4441–4490.

  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.

  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.

  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.

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• [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.

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• [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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  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.

  PUB | DOI