Jan Maas
Maas Group
35 Publications
2023 | Published | Journal Article | IST-REx-ID: 12959 |

P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of dynamical optimal transport on periodic graphs,” Calculus of Variations and Partial Differential Equations, vol. 62, no. 5. Springer Nature, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11700 |

M. Erbar, D. L. Forkert, J. Maas, and D. Mugnolo, “Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph,” Networks and Heterogeneous Media, vol. 17, no. 5. American Institute of Mathematical Sciences, pp. 687–717, 2022.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11739 |

D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary $\Gamma$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions,” SIAM Journal on Mathematical Analysis, vol. 54, no. 4. Society for Industrial and Applied Mathematics, pp. 4297–4333, 2022.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 10023 |

I. Karatzas, J. Maas, and W. Schachermayer, “Trajectorial dissipation and gradient flow for the relative entropy in Markov chains,” Communications in Information and Systems, vol. 21, no. 4. International Press, pp. 481–536, 2021.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 7573 |

P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of one-dimensional discrete optimal transport,” Journal de Mathematiques Pures et Appliquees, vol. 139, no. 7. Elsevier, pp. 204–234, 2020.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 8758 |

J. Maas and A. Mielke, “Modeling of chemical reaction systems with detailed balance using gradient structures,” Journal of Statistical Physics, vol. 181, no. 6. Springer Nature, pp. 2257–2303, 2020.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 6358 |

E. A. Carlen and J. Maas, “Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems,” Journal of Statistical Physics, vol. 178, no. 2. Springer Nature, pp. 319–378, 2020.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 71 |

P. Gladbach, E. Kopfer, and J. Maas, “Scaling limits of discrete optimal transport,” SIAM Journal on Mathematical Analysis, vol. 52, no. 3. Society for Industrial and Applied Mathematics, pp. 2759–2802, 2020.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2020 | Submitted | Preprint | IST-REx-ID: 10022 |

D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions,” arXiv. .
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 73 |

M. Erbar, J. Maas, and M. Wirth, “On the geometry of geodesics in discrete optimal transport,” Calculus of Variations and Partial Differential Equations, vol. 58, no. 1. Springer, 2019.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2017 | Published | Journal Article | IST-REx-ID: 956 |

E. Carlen and J. Maas, “Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance,” Journal of Functional Analysis, vol. 273, no. 5. Academic Press, pp. 1810–1869, 2017.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
2016 | Published | Journal Article | IST-REx-ID: 1261 |

J. Maas and D. Matthes, “Long-time behavior of a finite volume discretization for a fourth order diffusion equation,” Nonlinearity, vol. 29, no. 7. IOP Publishing Ltd., pp. 1992–2023, 2016.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2016 | Published | Journal Article | IST-REx-ID: 1448 |

M. Fathi and J. Maas, “Entropic Ricci curvature bounds for discrete interacting systems,” The Annals of Applied Probability, vol. 26, no. 3. Institute of Mathematical Statistics, pp. 1774–1806, 2016.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2015 | Published | Journal Article | IST-REx-ID: 1517 |

M. Erbar, J. Maas, and M. Renger, “From large deviations to Wasserstein gradient flows in multiple dimensions,” Electronic Communications in Probability, vol. 20. Institute of Mathematical Statistics, 2015.
[Published Version]
View
| Files available
| DOI
2015 | Published | Journal Article | IST-REx-ID: 1635 |

M. Erbar, J. Maas, and P. Tetali, “Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models,” Annales de la faculté des sciences de Toulouse, vol. 24, no. 4. Faculté des sciences de Toulouse, pp. 781–800, 2015.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2015 | Published | Journal Article | IST-REx-ID: 1639 |

J. Maas, M. Rumpf, C. Schönlieb, and S. Simon, “A generalized model for optimal transport of images including dissipation and density modulation,” ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49, no. 6. EDP Sciences, pp. 1745–1769, 2015.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2014 | Published | Journal Article | IST-REx-ID: 2131 |

M. Hairer, J. Maas, and H. Weber, “Approximating Rough Stochastic PDEs,” Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley-Blackwell, pp. 776–870, 2014.
View
| DOI
| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2132 |

M. Erbar and J. Maas, “Gradient flow structures for discrete porous medium equations,” Discrete and Continuous Dynamical Systems- Series A, vol. 34, no. 4. Southwest Missouri State University, pp. 1355–1374, 2014.
View
| DOI
| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2133 |

E. Carlen and J. Maas, “An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy,” Communications in Mathematical Physics, vol. 331, no. 3. Springer, pp. 887–926, 2014.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2117 |

S. Dirksen, J. Maas, and J. Van Neerven, “Poisson stochastic integration in Banach spaces,” Electronic Journal of Probability, vol. 18. Institute of Mathematical Statistics, 2013.
View
| DOI
| Download (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2129 |

N. Gigli and J. Maas, “Gromov-Hausdorff convergence of discrete transportation metrics,” SIAM Journal on Mathematical Analysis, vol. 45, no. 2. Society for Industrial and Applied Mathematics , pp. 879–899, 2013.
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2125 |

M. Hairer and J. Maas, “A spatial version of the Itô-Stratonovich correction,” Annals of Probability, vol. 40, no. 4. Institute of Mathematical Statistics, pp. 1675–1714, 2012.
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2127 |

M. Erbar and J. Maas, “Ricci curvature of finite Markov chains via convexity of the entropy,” Archive for Rational Mechanics and Analysis, vol. 206, no. 3. Springer, pp. 997–1038, 2012.
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2128 |

J. Maas, J. Van Neerven, and P. Portal, “Whitney coverings and the tent spaces T 1,q (γ) for the Gaussian measure,” Arkiv för Matematik, vol. 50, no. 2. Springer, pp. 379–395, 2012.
View
| DOI
| Download (ext.)
2011 | Published | Book Chapter | IST-REx-ID: 2116 |

J. Maas and J. Van Neerven, “Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators,” in Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–477.
View
| DOI
| Download (ext.)
2011 | Published | Journal Article | IST-REx-ID: 2122 |

J. Maas, J. Van Neerven, and P. Portal, “Conical square functions and non-tangential maximal functions with respect to the Gaussian measure,” Publicacions Matemàtiques, vol. 55, no. 2. Universitat Autònoma de Barcelona, Departament de Matemàtique, pp. 313–341, 2011.
View
| DOI
| Download (ext.)
2011 | Published | Journal Article | IST-REx-ID: 2123 |

P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric spaces,” Journal of Evolution Equations, vol. 11, no. 2. Birkhäuser, pp. 405–427, 2011.
View
| Files available
| DOI
| Download None (ext.)
2011 | Published | Journal Article | IST-REx-ID: 2126 |

J. Maas, “Gradient flows of the entropy for finite Markov chains,” Journal of Functional Analysis, vol. 261, no. 8. Academic Press, pp. 2250–2292, 2011.
View
| DOI
| Download (ext.)
2010 | Published | Journal Article | IST-REx-ID: 2124 |

J. Maas, “Malliavin calculus and decoupling inequalities in Banach spaces,” Journal of Mathematical Analysis and Applications, vol. 363, no. 2. Academic Press, pp. 383–398, 2010.
View
| DOI
| Download (ext.)
2009 | Published | Journal Article | IST-REx-ID: 2119 |

J. Maas and J. Van Neerven, “Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces,” Journal of Functional Analysis, vol. 257, no. 8. Academic Press, pp. 2410–2475, 2009.
View
| DOI
| Download (ext.)
2008 | Published | Journal Article | IST-REx-ID: 2120 |

J. Maas and J. Van Neerven, “On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces,” Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 11, no. 4. World Scientific Publishing, pp. 603–626, 2008.
View
| DOI
| Download (ext.)
2008 | Published | Journal Article | IST-REx-ID: 2121 |

J. Van Neerven and J. Maas, “A Clark-Ocone formula in UMD Banach spaces,” Electronic Communications in Probability, vol. 13. Institute of Mathematical Statistics, pp. 151–164, 2008.
View
| Download (ext.)
2007 | Published | Journal Article | IST-REx-ID: 2118 |

J. Maas and J. Van Neerven, “On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions,” Archiv der Mathematik, vol. 89, no. 3. Birkhäuser, pp. 226–236, 2007.
View
| DOI
| Download (ext.)
Grants
35 Publications
2023 | Published | Journal Article | IST-REx-ID: 12959 |

P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of dynamical optimal transport on periodic graphs,” Calculus of Variations and Partial Differential Equations, vol. 62, no. 5. Springer Nature, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11700 |

M. Erbar, D. L. Forkert, J. Maas, and D. Mugnolo, “Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph,” Networks and Heterogeneous Media, vol. 17, no. 5. American Institute of Mathematical Sciences, pp. 687–717, 2022.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11739 |

D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary $\Gamma$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions,” SIAM Journal on Mathematical Analysis, vol. 54, no. 4. Society for Industrial and Applied Mathematics, pp. 4297–4333, 2022.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 10023 |

I. Karatzas, J. Maas, and W. Schachermayer, “Trajectorial dissipation and gradient flow for the relative entropy in Markov chains,” Communications in Information and Systems, vol. 21, no. 4. International Press, pp. 481–536, 2021.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 7573 |

P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of one-dimensional discrete optimal transport,” Journal de Mathematiques Pures et Appliquees, vol. 139, no. 7. Elsevier, pp. 204–234, 2020.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 8758 |

J. Maas and A. Mielke, “Modeling of chemical reaction systems with detailed balance using gradient structures,” Journal of Statistical Physics, vol. 181, no. 6. Springer Nature, pp. 2257–2303, 2020.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 6358 |

E. A. Carlen and J. Maas, “Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems,” Journal of Statistical Physics, vol. 178, no. 2. Springer Nature, pp. 319–378, 2020.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 71 |

P. Gladbach, E. Kopfer, and J. Maas, “Scaling limits of discrete optimal transport,” SIAM Journal on Mathematical Analysis, vol. 52, no. 3. Society for Industrial and Applied Mathematics, pp. 2759–2802, 2020.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2020 | Submitted | Preprint | IST-REx-ID: 10022 |

D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions,” arXiv. .
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 73 |

M. Erbar, J. Maas, and M. Wirth, “On the geometry of geodesics in discrete optimal transport,” Calculus of Variations and Partial Differential Equations, vol. 58, no. 1. Springer, 2019.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2017 | Published | Journal Article | IST-REx-ID: 956 |

E. Carlen and J. Maas, “Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance,” Journal of Functional Analysis, vol. 273, no. 5. Academic Press, pp. 1810–1869, 2017.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
2016 | Published | Journal Article | IST-REx-ID: 1261 |

J. Maas and D. Matthes, “Long-time behavior of a finite volume discretization for a fourth order diffusion equation,” Nonlinearity, vol. 29, no. 7. IOP Publishing Ltd., pp. 1992–2023, 2016.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2016 | Published | Journal Article | IST-REx-ID: 1448 |

M. Fathi and J. Maas, “Entropic Ricci curvature bounds for discrete interacting systems,” The Annals of Applied Probability, vol. 26, no. 3. Institute of Mathematical Statistics, pp. 1774–1806, 2016.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2015 | Published | Journal Article | IST-REx-ID: 1517 |

M. Erbar, J. Maas, and M. Renger, “From large deviations to Wasserstein gradient flows in multiple dimensions,” Electronic Communications in Probability, vol. 20. Institute of Mathematical Statistics, 2015.
[Published Version]
View
| Files available
| DOI
2015 | Published | Journal Article | IST-REx-ID: 1635 |

M. Erbar, J. Maas, and P. Tetali, “Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models,” Annales de la faculté des sciences de Toulouse, vol. 24, no. 4. Faculté des sciences de Toulouse, pp. 781–800, 2015.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2015 | Published | Journal Article | IST-REx-ID: 1639 |

J. Maas, M. Rumpf, C. Schönlieb, and S. Simon, “A generalized model for optimal transport of images including dissipation and density modulation,” ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49, no. 6. EDP Sciences, pp. 1745–1769, 2015.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2014 | Published | Journal Article | IST-REx-ID: 2131 |

M. Hairer, J. Maas, and H. Weber, “Approximating Rough Stochastic PDEs,” Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley-Blackwell, pp. 776–870, 2014.
View
| DOI
| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2132 |

M. Erbar and J. Maas, “Gradient flow structures for discrete porous medium equations,” Discrete and Continuous Dynamical Systems- Series A, vol. 34, no. 4. Southwest Missouri State University, pp. 1355–1374, 2014.
View
| DOI
| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2133 |

E. Carlen and J. Maas, “An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy,” Communications in Mathematical Physics, vol. 331, no. 3. Springer, pp. 887–926, 2014.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2117 |

S. Dirksen, J. Maas, and J. Van Neerven, “Poisson stochastic integration in Banach spaces,” Electronic Journal of Probability, vol. 18. Institute of Mathematical Statistics, 2013.
View
| DOI
| Download (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2129 |

N. Gigli and J. Maas, “Gromov-Hausdorff convergence of discrete transportation metrics,” SIAM Journal on Mathematical Analysis, vol. 45, no. 2. Society for Industrial and Applied Mathematics , pp. 879–899, 2013.
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2125 |

M. Hairer and J. Maas, “A spatial version of the Itô-Stratonovich correction,” Annals of Probability, vol. 40, no. 4. Institute of Mathematical Statistics, pp. 1675–1714, 2012.
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2127 |

M. Erbar and J. Maas, “Ricci curvature of finite Markov chains via convexity of the entropy,” Archive for Rational Mechanics and Analysis, vol. 206, no. 3. Springer, pp. 997–1038, 2012.
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2128 |

J. Maas, J. Van Neerven, and P. Portal, “Whitney coverings and the tent spaces T 1,q (γ) for the Gaussian measure,” Arkiv för Matematik, vol. 50, no. 2. Springer, pp. 379–395, 2012.
View
| DOI
| Download (ext.)
2011 | Published | Book Chapter | IST-REx-ID: 2116 |

J. Maas and J. Van Neerven, “Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators,” in Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–477.
View
| DOI
| Download (ext.)
2011 | Published | Journal Article | IST-REx-ID: 2122 |

J. Maas, J. Van Neerven, and P. Portal, “Conical square functions and non-tangential maximal functions with respect to the Gaussian measure,” Publicacions Matemàtiques, vol. 55, no. 2. Universitat Autònoma de Barcelona, Departament de Matemàtique, pp. 313–341, 2011.
View
| DOI
| Download (ext.)
2011 | Published | Journal Article | IST-REx-ID: 2123 |

P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric spaces,” Journal of Evolution Equations, vol. 11, no. 2. Birkhäuser, pp. 405–427, 2011.
View
| Files available
| DOI
| Download None (ext.)
2011 | Published | Journal Article | IST-REx-ID: 2126 |

J. Maas, “Gradient flows of the entropy for finite Markov chains,” Journal of Functional Analysis, vol. 261, no. 8. Academic Press, pp. 2250–2292, 2011.
View
| DOI
| Download (ext.)
2010 | Published | Journal Article | IST-REx-ID: 2124 |

J. Maas, “Malliavin calculus and decoupling inequalities in Banach spaces,” Journal of Mathematical Analysis and Applications, vol. 363, no. 2. Academic Press, pp. 383–398, 2010.
View
| DOI
| Download (ext.)
2009 | Published | Journal Article | IST-REx-ID: 2119 |

J. Maas and J. Van Neerven, “Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces,” Journal of Functional Analysis, vol. 257, no. 8. Academic Press, pp. 2410–2475, 2009.
View
| DOI
| Download (ext.)
2008 | Published | Journal Article | IST-REx-ID: 2120 |

J. Maas and J. Van Neerven, “On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces,” Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 11, no. 4. World Scientific Publishing, pp. 603–626, 2008.
View
| DOI
| Download (ext.)
2008 | Published | Journal Article | IST-REx-ID: 2121 |

J. Van Neerven and J. Maas, “A Clark-Ocone formula in UMD Banach spaces,” Electronic Communications in Probability, vol. 13. Institute of Mathematical Statistics, pp. 151–164, 2008.
View
| Download (ext.)
2007 | Published | Journal Article | IST-REx-ID: 2118 |

J. Maas and J. Van Neerven, “On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions,” Archiv der Mathematik, vol. 89, no. 3. Birkhäuser, pp. 226–236, 2007.
View
| DOI
| Download (ext.)