ISTA Research Explorer

Jan Maas

Maas Group

35 Publications

[35]

2023 | Published | Journal Article | IST-REx-ID: 12959 |

Gladbach P, Kopfer E, Maas J, Portinale L. 2023. Homogenisation of dynamical optimal transport on periodic graphs. Calculus of Variations and Partial Differential Equations. 62(5), 143.

[Published Version] View | Files available | DOI | WoS | arXiv

[34]

2022 | Published | Journal Article | IST-REx-ID: 11700 |

Erbar M, Forkert DL, Maas J, Mugnolo D. 2022. Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media. 17(5), 687–717.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

[33]

2022 | Published | Journal Article | IST-REx-ID: 11739 |

Forkert DL, Maas J, Portinale L. 2022. Evolutionary $\Gamma$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions. SIAM Journal on Mathematical Analysis. 54(4), 4297–4333.

[32]

2021 | Published | Journal Article | IST-REx-ID: 10023 |

Karatzas I, Maas J, Schachermayer W. 2021. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. 21(4), 481–536.

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[31]

2020 | Published | Journal Article | IST-REx-ID: 7573 |

Gladbach P, Kopfer E, Maas J, Portinale L. 2020. Homogenisation of one-dimensional discrete optimal transport. Journal de Mathematiques Pures et Appliquees. 139(7), 204–234.

[30]

2020 | Published | Journal Article | IST-REx-ID: 8758 |

Maas J, Mielke A. 2020. Modeling of chemical reaction systems with detailed balance using gradient structures. Journal of Statistical Physics. 181(6), 2257–2303.

[Published Version] View | Files available | DOI | WoS | arXiv

[29]

2020 | Published | Journal Article | IST-REx-ID: 6358 |

Carlen EA, Maas J. 2020. Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Journal of Statistical Physics. 178(2), 319–378.

[Published Version] View | Files available | DOI | WoS | arXiv

[28]

2020 | Published | Journal Article | IST-REx-ID: 71 |

Gladbach P, Kopfer E, Maas J. 2020. Scaling limits of discrete optimal transport. SIAM Journal on Mathematical Analysis. 52(3), 2759–2802.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

[27]

2020 | Submitted | Preprint | IST-REx-ID: 10022 |

Forkert DL, Maas J, Portinale L. Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions. arXiv, 2008.10962.

[Preprint] View | Files available | Download Preprint (ext.) | arXiv

[26]

2019 | Published | Journal Article | IST-REx-ID: 73 |

Erbar M, Maas J, Wirth M. 2019. On the geometry of geodesics in discrete optimal transport. Calculus of Variations and Partial Differential Equations. 58(1), 19.

[Published Version] View | Files available | DOI | WoS | arXiv

[25]

2017 | Published | Book Chapter | IST-REx-ID: 649

Maas J. 2017.Entropic Ricci curvature for discrete spaces. In: Modern Approaches to Discrete Curvature. vol. 2184, 159–174.

View | DOI

[24]

2017 | Published | Journal Article | IST-REx-ID: 956 |

Carlen E, Maas J. 2017. Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Journal of Functional Analysis. 273(5), 1810–1869.

[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS

[23]

2017 | Published | Conference Paper | IST-REx-ID: 989

Maas J, Rumpf M, Simon S. 2017. Transport based image morphing with intensity modulation. SSVM: Scale Space and Variational Methods in Computer Vision, LNCS, vol. 10302, 563–577.

View | DOI | WoS

[22]

2016 | Published | Journal Article | IST-REx-ID: 1261 |

Maas J, Matthes D. 2016. Long-time behavior of a finite volume discretization for a fourth order diffusion equation. Nonlinearity. 29(7), 1992–2023.

[Preprint] View | DOI | Download Preprint (ext.)

[21]

2016 | Published | Journal Article | IST-REx-ID: 1448 |

Fathi M, Maas J. 2016. Entropic Ricci curvature bounds for discrete interacting systems. The Annals of Applied Probability. 26(3), 1774–1806.

[Preprint] View | DOI | Download Preprint (ext.)

[20]

2015 | Published | Journal Article | IST-REx-ID: 1517 |

Erbar M, Maas J, Renger M. 2015. From large deviations to Wasserstein gradient flows in multiple dimensions. Electronic Communications in Probability. 20, 89.

[Published Version] View | Files available | DOI

[19]

2015 | Published | Journal Article | IST-REx-ID: 1635 |

Erbar M, Maas J, Tetali P. 2015. Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models. Annales de la faculté des sciences de Toulouse. 24(4), 781–800.

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[18]

2015 | Published | Journal Article | IST-REx-ID: 1639 |

Maas J, Rumpf M, Schönlieb C, Simon S. 2015. A generalized model for optimal transport of images including dissipation and density modulation. ESAIM: Mathematical Modelling and Numerical Analysis. 49(6), 1745–1769.

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[17]

2014 | Published | Journal Article | IST-REx-ID: 2131 |

Hairer M, Maas J, Weber H. 2014. Approximating Rough Stochastic PDEs. Communications on Pure and Applied Mathematics. 67(5), 776–870.

View | DOI | Download (ext.)

[16]

2014 | Published | Journal Article | IST-REx-ID: 2132 |

Erbar M, Maas J. 2014. Gradient flow structures for discrete porous medium equations. Discrete and Continuous Dynamical Systems- Series A. 34(4), 1355–1374.

View | DOI | Download (ext.)

[15]

2014 | Published | Journal Article | IST-REx-ID: 2133 |

Carlen E, Maas J. 2014. 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. 331(3), 887–926.

[Submitted Version] View | DOI | Download Submitted Version (ext.)

[14]

2013 | Published | Journal Article | IST-REx-ID: 2117 |

Dirksen S, Maas J, Van Neerven J. 2013. Poisson stochastic integration in Banach spaces. Electronic Journal of Probability. 18.

View | DOI | Download (ext.)

[13]

2013 | Published | Journal Article | IST-REx-ID: 2129 |

Gigli N, Maas J. 2013. Gromov-Hausdorff convergence of discrete transportation metrics. SIAM Journal on Mathematical Analysis. 45(2), 879–899.

View | DOI | Download (ext.)

[12]

2012 | Published | Journal Article | IST-REx-ID: 2125 |

Hairer M, Maas J. 2012. A spatial version of the Itô-Stratonovich correction. Annals of Probability. 40(4), 1675–1714.

View | DOI | Download (ext.)

[11]

2012 | Published | Journal Article | IST-REx-ID: 2127 |

Erbar M, Maas J. 2012. Ricci curvature of finite Markov chains via convexity of the entropy. Archive for Rational Mechanics and Analysis. 206(3), 997–1038.

View | DOI | Download (ext.)

[10]

2012 | Published | Journal Article | IST-REx-ID: 2128 |

Maas J, Van Neerven J, Portal P. 2012. Whitney coverings and the tent spaces T 1,q (γ) for the Gaussian measure. Arkiv för Matematik. 50(2), 379–395.

View | DOI | Download (ext.)

[9]

2011 | Published | Book Chapter | IST-REx-ID: 2116 |

Maas J, Van Neerven J. 2011.Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In: Parabolic Problems. vol. 80, 463–477.

View | DOI | Download (ext.)

[8]

2011 | Published | Journal Article | IST-REx-ID: 2122 |

Maas J, Van Neerven J, Portal P. 2011. Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques. 55(2), 313–341.

View | DOI | Download (ext.)

[7]

2011 | Published | Journal Article | IST-REx-ID: 2123 |

Clément P, Maas J. 2011. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 11(2), 405–427.

View | Files available | DOI | Download None (ext.)

[6]

2011 | Published | Journal Article | IST-REx-ID: 2126 |

Maas J. 2011. Gradient flows of the entropy for finite Markov chains. Journal of Functional Analysis. 261(8), 2250–2292.

View | DOI | Download (ext.)

[5]

2010 | Published | Journal Article | IST-REx-ID: 2124 |

Maas J. 2010. Malliavin calculus and decoupling inequalities in Banach spaces. Journal of Mathematical Analysis and Applications. 363(2), 383–398.

View | DOI | Download (ext.)

[4]

2009 | Published | Journal Article | IST-REx-ID: 2119 |

Maas J, Van Neerven J. 2009. Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces. Journal of Functional Analysis. 257(8), 2410–2475.

View | DOI | Download (ext.)

[3]

2008 | Published | Journal Article | IST-REx-ID: 2120 |

Maas J, Van Neerven J. 2008. On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 11(4), 603–626.

View | DOI | Download (ext.)

[2]

2008 | Published | Journal Article | IST-REx-ID: 2121 |

Van Neerven J, Maas J. 2008. A Clark-Ocone formula in UMD Banach spaces. Electronic Communications in Probability. 13, 151–164.

View | Download (ext.)

[1]

2007 | Published | Journal Article | IST-REx-ID: 2118 |

Maas J, Van Neerven J. 2007. On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions. Archiv der Mathematik. 89(3), 226–236.

View | DOI | Download (ext.)

Grants

35 Publications

Mark all

[35]

2023 | Published | Journal Article | IST-REx-ID: 12959 |

Gladbach P, Kopfer E, Maas J, Portinale L. 2023. Homogenisation of dynamical optimal transport on periodic graphs. Calculus of Variations and Partial Differential Equations. 62(5), 143.

[Published Version] View | Files available | DOI | WoS | arXiv

[34]

2022 | Published | Journal Article | IST-REx-ID: 11700 |

Erbar M, Forkert DL, Maas J, Mugnolo D. 2022. Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media. 17(5), 687–717.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

[33]

2022 | Published | Journal Article | IST-REx-ID: 11739 |

[32]

2021 | Published | Journal Article | IST-REx-ID: 10023 |

Karatzas I, Maas J, Schachermayer W. 2021. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. 21(4), 481–536.

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[31]

2020 | Published | Journal Article | IST-REx-ID: 7573 |

Gladbach P, Kopfer E, Maas J, Portinale L. 2020. Homogenisation of one-dimensional discrete optimal transport. Journal de Mathematiques Pures et Appliquees. 139(7), 204–234.

[30]

2020 | Published | Journal Article | IST-REx-ID: 8758 |

Maas J, Mielke A. 2020. Modeling of chemical reaction systems with detailed balance using gradient structures. Journal of Statistical Physics. 181(6), 2257–2303.

[Published Version] View | Files available | DOI | WoS | arXiv

[29]

2020 | Published | Journal Article | IST-REx-ID: 6358 |

Carlen EA, Maas J. 2020. Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Journal of Statistical Physics. 178(2), 319–378.

[Published Version] View | Files available | DOI | WoS | arXiv

[28]

2020 | Published | Journal Article | IST-REx-ID: 71 |

Gladbach P, Kopfer E, Maas J. 2020. Scaling limits of discrete optimal transport. SIAM Journal on Mathematical Analysis. 52(3), 2759–2802.

[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv

[27]

2020 | Submitted | Preprint | IST-REx-ID: 10022 |

Forkert DL, Maas J, Portinale L. Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions. arXiv, 2008.10962.

[Preprint] View | Files available | Download Preprint (ext.) | arXiv

[26]

2019 | Published | Journal Article | IST-REx-ID: 73 |

Erbar M, Maas J, Wirth M. 2019. On the geometry of geodesics in discrete optimal transport. Calculus of Variations and Partial Differential Equations. 58(1), 19.

[Published Version] View | Files available | DOI | WoS | arXiv

[25]

2017 | Published | Book Chapter | IST-REx-ID: 649

Maas J. 2017.Entropic Ricci curvature for discrete spaces. In: Modern Approaches to Discrete Curvature. vol. 2184, 159–174.

View | DOI

[24]

2017 | Published | Journal Article | IST-REx-ID: 956 |

Carlen E, Maas J. 2017. Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Journal of Functional Analysis. 273(5), 1810–1869.

[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS

[23]

2017 | Published | Conference Paper | IST-REx-ID: 989

Maas J, Rumpf M, Simon S. 2017. Transport based image morphing with intensity modulation. SSVM: Scale Space and Variational Methods in Computer Vision, LNCS, vol. 10302, 563–577.

View | DOI | WoS

[22]

2016 | Published | Journal Article | IST-REx-ID: 1261 |

Maas J, Matthes D. 2016. Long-time behavior of a finite volume discretization for a fourth order diffusion equation. Nonlinearity. 29(7), 1992–2023.

[Preprint] View | DOI | Download Preprint (ext.)

[21]

2016 | Published | Journal Article | IST-REx-ID: 1448 |

Fathi M, Maas J. 2016. Entropic Ricci curvature bounds for discrete interacting systems. The Annals of Applied Probability. 26(3), 1774–1806.

[Preprint] View | DOI | Download Preprint (ext.)

[20]

2015 | Published | Journal Article | IST-REx-ID: 1517 |

Erbar M, Maas J, Renger M. 2015. From large deviations to Wasserstein gradient flows in multiple dimensions. Electronic Communications in Probability. 20, 89.

[Published Version] View | Files available | DOI

[19]

2015 | Published | Journal Article | IST-REx-ID: 1635 |

Erbar M, Maas J, Tetali P. 2015. Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models. Annales de la faculté des sciences de Toulouse. 24(4), 781–800.

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[18]

2015 | Published | Journal Article | IST-REx-ID: 1639 |

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[17]

2014 | Published | Journal Article | IST-REx-ID: 2131 |

Hairer M, Maas J, Weber H. 2014. Approximating Rough Stochastic PDEs. Communications on Pure and Applied Mathematics. 67(5), 776–870.

View | DOI | Download (ext.)

[16]

2014 | Published | Journal Article | IST-REx-ID: 2132 |

Erbar M, Maas J. 2014. Gradient flow structures for discrete porous medium equations. Discrete and Continuous Dynamical Systems- Series A. 34(4), 1355–1374.

View | DOI | Download (ext.)

[15]

2014 | Published | Journal Article | IST-REx-ID: 2133 |

[Submitted Version] View | DOI | Download Submitted Version (ext.)

[14]

2013 | Published | Journal Article | IST-REx-ID: 2117 |

Dirksen S, Maas J, Van Neerven J. 2013. Poisson stochastic integration in Banach spaces. Electronic Journal of Probability. 18.

View | DOI | Download (ext.)

[13]

2013 | Published | Journal Article | IST-REx-ID: 2129 |

Gigli N, Maas J. 2013. Gromov-Hausdorff convergence of discrete transportation metrics. SIAM Journal on Mathematical Analysis. 45(2), 879–899.

View | DOI | Download (ext.)

[12]

2012 | Published | Journal Article | IST-REx-ID: 2125 |

Hairer M, Maas J. 2012. A spatial version of the Itô-Stratonovich correction. Annals of Probability. 40(4), 1675–1714.

View | DOI | Download (ext.)

[11]

2012 | Published | Journal Article | IST-REx-ID: 2127 |

Erbar M, Maas J. 2012. Ricci curvature of finite Markov chains via convexity of the entropy. Archive for Rational Mechanics and Analysis. 206(3), 997–1038.

View | DOI | Download (ext.)

[10]

2012 | Published | Journal Article | IST-REx-ID: 2128 |

Maas J, Van Neerven J, Portal P. 2012. Whitney coverings and the tent spaces T 1,q (γ) for the Gaussian measure. Arkiv för Matematik. 50(2), 379–395.

View | DOI | Download (ext.)

[9]

2011 | Published | Book Chapter | IST-REx-ID: 2116 |

Maas J, Van Neerven J. 2011.Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In: Parabolic Problems. vol. 80, 463–477.

View | DOI | Download (ext.)

[8]

2011 | Published | Journal Article | IST-REx-ID: 2122 |

Maas J, Van Neerven J, Portal P. 2011. Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques. 55(2), 313–341.

View | DOI | Download (ext.)

[7]

2011 | Published | Journal Article | IST-REx-ID: 2123 |

Clément P, Maas J. 2011. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 11(2), 405–427.

View | Files available | DOI | Download None (ext.)

[6]

2011 | Published | Journal Article | IST-REx-ID: 2126 |

Maas J. 2011. Gradient flows of the entropy for finite Markov chains. Journal of Functional Analysis. 261(8), 2250–2292.

View | DOI | Download (ext.)

[5]

2010 | Published | Journal Article | IST-REx-ID: 2124 |

Maas J. 2010. Malliavin calculus and decoupling inequalities in Banach spaces. Journal of Mathematical Analysis and Applications. 363(2), 383–398.

View | DOI | Download (ext.)

[4]

2009 | Published | Journal Article | IST-REx-ID: 2119 |

Maas J, Van Neerven J. 2009. Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces. Journal of Functional Analysis. 257(8), 2410–2475.

View | DOI | Download (ext.)

[3]

2008 | Published | Journal Article | IST-REx-ID: 2120 |

Maas J, Van Neerven J. 2008. On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 11(4), 603–626.

View | DOI | Download (ext.)

[2]

2008 | Published | Journal Article | IST-REx-ID: 2121 |

Van Neerven J, Maas J. 2008. A Clark-Ocone formula in UMD Banach spaces. Electronic Communications in Probability. 13, 151–164.

View | Download (ext.)

[1]

2007 | Published | Journal Article | IST-REx-ID: 2118 |

Maas J, Van Neerven J. 2007. On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions. Archiv der Mathematik. 89(3), 226–236.

View | DOI | Download (ext.)

Jan Maas

35 Publications

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Jan Maas

35 Publications

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35 Publications

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