ISTA Research Explorer

Jan Maas

Maas Group

41 Publications

[41]

2024 | Published | Book (Editor) | IST-REx-ID: 18899

Maas J, Rademacher SAE, Titkos T, Virosztek D eds. 2024. Optimal Transport on Quantum Structures, Cham: Springer Nature,p.

View | DOI

[40]

2024 | Published | Conference Paper | IST-REx-ID: 18897 |

Pedrotti F, Maas J, Mondelli M. 2024. Improved convergence of score-based diffusion models via prediction-correction. Transactions on Machine Learning Research. , TMLR, .

[Published Version] View | Files available | arXiv

[39]

2024 | Published | Journal Article | IST-REx-ID: 17143 |

Dello Schiavo L, Maas J, Pedrotti F. 2024. Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. Transactions of the American Mathematical Society. 377(6), 3779–3804.

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

[38]

2024 | Draft | Preprint | IST-REx-ID: 17350 |

Pedrotti F, Maas J, Mondelli M. Improved convergence of score-based diffusion models via prediction-correction. arXiv, 10.48550/arXiv.2305.14164.

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

[37]

2024 | Published | Journal Article | IST-REx-ID: 17282 |

Brooks M, Maas J. 2024. Characterisation of gradient flows for a given functional. Calculus of Variations and Partial Differential Equations. 63(6), 153.

[36]

2024 | Draft | Preprint | IST-REx-ID: 17352 |

Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. arXiv, 2402.04151.

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

[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.

[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 | Draft | 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 | DOI | Download Preprint (ext.) | 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.

[28]

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.

[27]

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

[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 | 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

[23]

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 | arXiv

[22]

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.) | arXiv

[21]

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.) | arXiv

[20]

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

[19]

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

[18]

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

[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.)

3 Grants

Optimal Transport and Stochastic Dynamics (OPTRASTOCH)

2017-02-01 – 2022-07-31
European Research Council

Taming Complexity in Partial Differential Systems (PDE)

2017-03-01 – 2026-02-28
Austrian Science Fund

Dissipation and dispersion in nonlinear partial differential equations

2017-03-01 – 2022-08-31
Austrian Science Fund

41 Publications

Mark all

[41]

2024 | Published | Book (Editor) | IST-REx-ID: 18899

Maas J, Rademacher SAE, Titkos T, Virosztek D eds. 2024. Optimal Transport on Quantum Structures, Cham: Springer Nature,p.

View | DOI

[40]

2024 | Published | Conference Paper | IST-REx-ID: 18897 |

Pedrotti F, Maas J, Mondelli M. 2024. Improved convergence of score-based diffusion models via prediction-correction. Transactions on Machine Learning Research. , TMLR, .

[Published Version] View | Files available | arXiv

[39]

2024 | Published | Journal Article | IST-REx-ID: 17143 |

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

[38]

2024 | Draft | Preprint | IST-REx-ID: 17350 |

Pedrotti F, Maas J, Mondelli M. Improved convergence of score-based diffusion models via prediction-correction. arXiv, 10.48550/arXiv.2305.14164.

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

[37]

2024 | Published | Journal Article | IST-REx-ID: 17282 |

Brooks M, Maas J. 2024. Characterisation of gradient flows for a given functional. Calculus of Variations and Partial Differential Equations. 63(6), 153.

[36]

2024 | Draft | Preprint | IST-REx-ID: 17352 |

Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. arXiv, 2402.04151.

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

[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.

[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 | Draft | 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 | DOI | Download Preprint (ext.) | 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.

[28]

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.

[27]

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

[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 | 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

[23]

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 | arXiv

[22]

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.) | arXiv

[21]

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.) | arXiv

[20]

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

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

[19]

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

[18]

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

[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

41 Publications

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3 Grants

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Jan Maas

41 Publications

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41 Publications

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