Jan Maas
Maas Group
41 Publications
2024 | Published | Book (Editor) | IST-REx-ID: 18899
Maas, Jan, Simone Anna Elvira Rademacher, Tamás Titkos, and Daniel Virosztek, eds. Optimal Transport on Quantum Structures. Vol. 29. BSMS. Cham: Springer Nature, 2024. https://doi.org/10.1007/978-3-031-50466-2.
View
| DOI
2024 | Published | Conference Paper | IST-REx-ID: 18897 |

Pedrotti, Francesco, Jan Maas, and Marco Mondelli. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” In Transactions on Machine Learning Research, 2024.
[Published Version]
View
| Files available
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17143 |

Dello Schiavo, Lorenzo, Jan Maas, and Francesco Pedrotti. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” Transactions of the American Mathematical Society. American Mathematical Society, 2024. https://doi.org/10.1090/tran/9156.
[Preprint]
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| Files available
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| arXiv
2024 | Draft | Preprint | IST-REx-ID: 17350 |

Pedrotti, Francesco, Jan Maas, and Marco Mondelli. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2305.14164.
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17282 |

Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2024. https://doi.org/10.1007/s00526-024-02755-z.
[Published Version]
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| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2024 | Draft | Preprint | IST-REx-ID: 17352 |

Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2402.04151.
[Preprint]
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| Files available
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2023 | Published | Journal Article | IST-REx-ID: 12959 |

Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of Dynamical Optimal Transport on Periodic Graphs.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2023. https://doi.org/10.1007/s00526-023-02472-z.
[Published Version]
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| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11700 |

Erbar, Matthias, Dominik L Forkert, Jan Maas, and Delio Mugnolo. “Gradient Flow Formulation of Diffusion Equations in the Wasserstein Space over a Metric Graph.” Networks and Heterogeneous Media. American Institute of Mathematical Sciences, 2022. https://doi.org/10.3934/nhm.2022023.
[Preprint]
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| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11739 |

Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2022. https://doi.org/10.1137/21M1410968.
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 10023 |

Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems. International Press, 2021. https://doi.org/10.4310/CIS.2021.v21.n4.a1.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 7573 |

Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of One-Dimensional Discrete Optimal Transport.” Journal de Mathematiques Pures et Appliquees. Elsevier, 2020. https://doi.org/10.1016/j.matpur.2020.02.008.
[Preprint]
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| Files available
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| arXiv
2020 | Draft | Preprint | IST-REx-ID: 10022 |

Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary Γ-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2008.10962.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 6358 |

Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02434-w.
[Published Version]
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| Files available
| DOI
| WoS
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| arXiv
2020 | Published | Journal Article | IST-REx-ID: 8758 |

Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02663-4.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 71 |

Gladbach, Peter, Eva Kopfer, and Jan Maas. “Scaling Limits of Discrete Optimal Transport.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2020. https://doi.org/10.1137/19M1243440.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 73 |

Erbar, Matthias, Jan Maas, and Melchior Wirth. “On the Geometry of Geodesics in Discrete Optimal Transport.” Calculus of Variations and Partial Differential Equations. Springer, 2019. https://doi.org/10.1007/s00526-018-1456-1.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2017 | Published | Book Chapter | IST-REx-ID: 649
Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” In Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, 2184:159–74. Lecture Notes in Mathematics. Springer, 2017. https://doi.org/10.1007/978-3-319-58002-9_5.
View
| DOI
2017 | Published | Conference Paper | IST-REx-ID: 989
Maas, Jan, Martin Rumpf, and Stefan Simon. “Transport Based Image Morphing with Intensity Modulation.” edited by François Lauze, Yiqiu Dong, and Anders Bjorholm Dahl, 10302:563–77. Springer, 2017. https://doi.org/10.1007/978-3-319-58771-4_45.
View
| DOI
| WoS
2017 | Published | Journal Article | IST-REx-ID: 956 |

Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.” Journal of Functional Analysis. Academic Press, 2017. https://doi.org/10.1016/j.jfa.2017.05.003.
[Submitted Version]
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| Download Submitted Version (ext.)
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2016 | Published | Journal Article | IST-REx-ID: 1448 |

Fathi, Max, and Jan Maas. “Entropic Ricci Curvature Bounds for Discrete Interacting Systems.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2016. https://doi.org/10.1214/15-AAP1133.
[Preprint]
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| Download Preprint (ext.)
| arXiv
2016 | Published | Journal Article | IST-REx-ID: 1261 |

Maas, Jan, and Daniel Matthes. “Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation.” Nonlinearity. IOP Publishing, 2016. https://doi.org/10.1088/0951-7715/29/7/1992.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
2015 | Published | Journal Article | IST-REx-ID: 1639 |

Maas, Jan, Martin Rumpf, Carola Schönlieb, and Stefan Simon. “A Generalized Model for Optimal Transport of Images Including Dissipation and Density Modulation.” ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences, 2015. https://doi.org/10.1051/m2an/2015043.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
2015 | Published | Journal Article | IST-REx-ID: 1517 |

Erbar, Matthias, Jan Maas, and Michiel Renger. “From Large Deviations to Wasserstein Gradient Flows in Multiple Dimensions.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2015. https://doi.org/10.1214/ECP.v20-4315.
[Published Version]
View
| Files available
| DOI
2015 | Published | Journal Article | IST-REx-ID: 1635 |

Erbar, Matthias, Jan Maas, and Prasad Tetali. “Discrete Ricci Curvature Bounds for Bernoulli-Laplace and Random Transposition Models.” Annales de La Faculté Des Sciences de Toulouse. Faculté des sciences de Toulouse, 2015. https://doi.org/10.5802/afst.1464.
[Preprint]
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| arXiv
2014 | Published | Journal Article | IST-REx-ID: 2131 |

Hairer, Martin, Jan Maas, and Hendrik Weber. “Approximating Rough Stochastic PDEs.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2014. https://doi.org/10.1002/cpa.21495.
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| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2132 |

Erbar, Matthias, and Jan Maas. “Gradient Flow Structures for Discrete Porous Medium Equations.” Discrete and Continuous Dynamical Systems- Series A. Southwest Missouri State University, 2014. https://doi.org/10.3934/dcds.2014.34.1355 .
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| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2133 |

Carlen, Eric, and Jan 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. Springer, 2014. https://doi.org/10.1007/s00220-014-2124-8.
[Submitted Version]
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| Download Submitted Version (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2117 |

Dirksen, Sjoerd, Jan Maas, and Jan Van Neerven. “Poisson Stochastic Integration in Banach Spaces.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2013. https://doi.org/10.1214/EJP.v18-2945 .
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| Download (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2129 |

Gigli, Nicola, and Jan Maas. “Gromov-Hausdorff Convergence of Discrete Transportation Metrics.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2013. https://doi.org/10.1137/120886315 .
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| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2125 |

Hairer, Martin, and Jan Maas. “A Spatial Version of the Itô-Stratonovich Correction.” Annals of Probability. Institute of Mathematical Statistics, 2012. https://doi.org/10.1214/11-AOP662.
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| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2127 |

Erbar, Matthias, and Jan Maas. “Ricci Curvature of Finite Markov Chains via Convexity of the Entropy.” Archive for Rational Mechanics and Analysis. Springer, 2012. https://doi.org/10.1007/s00205-012-0554-z.
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2012 | Published | Journal Article | IST-REx-ID: 2128 |

Maas, Jan, Jan Van Neerven, and Pierre Portal. “Whitney Coverings and the Tent Spaces T 1,q (γ) for the Gaussian Measure.” Arkiv För Matematik. Springer, 2012. https://doi.org/10.1007/s11512-010-0143-z.
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2011 | Published | Book Chapter | IST-REx-ID: 2116 |

Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” In Parabolic Problems, 80:463–77. Birkhäuser, 2011. https://doi.org/10.1007/978-3-0348-0075-4_24.
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2011 | Published | Journal Article | IST-REx-ID: 2122 |

Maas, Jan, Jan Van Neerven, and Pierre Portal. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” Publicacions Matemàtiques. Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011. https://doi.org/10.5565/PUBLMAT_55211_03 .
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2011 | Published | Journal Article | IST-REx-ID: 2123 |

Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations. Birkhäuser, 2011. https://doi.org/10.1007/s00028-010-0096-5.
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2011 | Published | Journal Article | IST-REx-ID: 2126 |

Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal of Functional Analysis. Academic Press, 2011. https://doi.org/10.1016/j.jfa.2011.06.009 .
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2010 | Published | Journal Article | IST-REx-ID: 2124 |

Maas, Jan. “Malliavin Calculus and Decoupling Inequalities in Banach Spaces.” Journal of Mathematical Analysis and Applications. Academic Press, 2010. https://doi.org/10.1016/j.jmaa.2009.08.041.
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2009 | Published | Journal Article | IST-REx-ID: 2119 |

Maas, Jan, and Jan Van Neerven. “Boundedness of Riesz Transforms for Elliptic Operators on Abstract Wiener Spaces.” Journal of Functional Analysis. Academic Press, 2009. https://doi.org/10.1016/j.jfa.2009.07.001.
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2008 | Published | Journal Article | IST-REx-ID: 2120 |

Maas, Jan, and Jan Van Neerven. “On the Domain of Non-Symmetric Ornstein-Uhlenbeck Operators in Banach Spaces.” Infinite Dimensional Analysis, Quantum Probability and Related Topics. World Scientific Publishing, 2008. https://doi.org/10.1142/S0219025708003245.
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2008 | Published | Journal Article | IST-REx-ID: 2121 |

Van Neerven, Jan, and Jan Maas. “A Clark-Ocone Formula in UMD Banach Spaces.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2008.
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2007 | Published | Journal Article | IST-REx-ID: 2118 |

Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups in Infinite Dimensions.” Archiv Der Mathematik. Birkhäuser, 2007. https://doi.org/10.1007/s00013-007-2082-x.
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41 Publications
2024 | Published | Book (Editor) | IST-REx-ID: 18899
Maas, Jan, Simone Anna Elvira Rademacher, Tamás Titkos, and Daniel Virosztek, eds. Optimal Transport on Quantum Structures. Vol. 29. BSMS. Cham: Springer Nature, 2024. https://doi.org/10.1007/978-3-031-50466-2.
View
| DOI
2024 | Published | Conference Paper | IST-REx-ID: 18897 |

Pedrotti, Francesco, Jan Maas, and Marco Mondelli. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” In Transactions on Machine Learning Research, 2024.
[Published Version]
View
| Files available
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17143 |

Dello Schiavo, Lorenzo, Jan Maas, and Francesco Pedrotti. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” Transactions of the American Mathematical Society. American Mathematical Society, 2024. https://doi.org/10.1090/tran/9156.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Draft | Preprint | IST-REx-ID: 17350 |

Pedrotti, Francesco, Jan Maas, and Marco Mondelli. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2305.14164.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17282 |

Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2024. https://doi.org/10.1007/s00526-024-02755-z.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2024 | Draft | Preprint | IST-REx-ID: 17352 |

Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2402.04151.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12959 |

Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of Dynamical Optimal Transport on Periodic Graphs.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2023. https://doi.org/10.1007/s00526-023-02472-z.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11700 |

Erbar, Matthias, Dominik L Forkert, Jan Maas, and Delio Mugnolo. “Gradient Flow Formulation of Diffusion Equations in the Wasserstein Space over a Metric Graph.” Networks and Heterogeneous Media. American Institute of Mathematical Sciences, 2022. https://doi.org/10.3934/nhm.2022023.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11739 |

Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2022. https://doi.org/10.1137/21M1410968.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 10023 |

Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems. International Press, 2021. https://doi.org/10.4310/CIS.2021.v21.n4.a1.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 7573 |

Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of One-Dimensional Discrete Optimal Transport.” Journal de Mathematiques Pures et Appliquees. Elsevier, 2020. https://doi.org/10.1016/j.matpur.2020.02.008.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2020 | Draft | Preprint | IST-REx-ID: 10022 |

Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary Γ-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2008.10962.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 6358 |

Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02434-w.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 8758 |

Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02663-4.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2020 | Published | Journal Article | IST-REx-ID: 71 |

Gladbach, Peter, Eva Kopfer, and Jan Maas. “Scaling Limits of Discrete Optimal Transport.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2020. https://doi.org/10.1137/19M1243440.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 73 |

Erbar, Matthias, Jan Maas, and Melchior Wirth. “On the Geometry of Geodesics in Discrete Optimal Transport.” Calculus of Variations and Partial Differential Equations. Springer, 2019. https://doi.org/10.1007/s00526-018-1456-1.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2017 | Published | Book Chapter | IST-REx-ID: 649
Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” In Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, 2184:159–74. Lecture Notes in Mathematics. Springer, 2017. https://doi.org/10.1007/978-3-319-58002-9_5.
View
| DOI
2017 | Published | Conference Paper | IST-REx-ID: 989
Maas, Jan, Martin Rumpf, and Stefan Simon. “Transport Based Image Morphing with Intensity Modulation.” edited by François Lauze, Yiqiu Dong, and Anders Bjorholm Dahl, 10302:563–77. Springer, 2017. https://doi.org/10.1007/978-3-319-58771-4_45.
View
| DOI
| WoS
2017 | Published | Journal Article | IST-REx-ID: 956 |

Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.” Journal of Functional Analysis. Academic Press, 2017. https://doi.org/10.1016/j.jfa.2017.05.003.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
| arXiv
2016 | Published | Journal Article | IST-REx-ID: 1448 |

Fathi, Max, and Jan Maas. “Entropic Ricci Curvature Bounds for Discrete Interacting Systems.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2016. https://doi.org/10.1214/15-AAP1133.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2016 | Published | Journal Article | IST-REx-ID: 1261 |

Maas, Jan, and Daniel Matthes. “Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation.” Nonlinearity. IOP Publishing, 2016. https://doi.org/10.1088/0951-7715/29/7/1992.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2015 | Published | Journal Article | IST-REx-ID: 1639 |

Maas, Jan, Martin Rumpf, Carola Schönlieb, and Stefan Simon. “A Generalized Model for Optimal Transport of Images Including Dissipation and Density Modulation.” ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences, 2015. https://doi.org/10.1051/m2an/2015043.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2015 | Published | Journal Article | IST-REx-ID: 1517 |

Erbar, Matthias, Jan Maas, and Michiel Renger. “From Large Deviations to Wasserstein Gradient Flows in Multiple Dimensions.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2015. https://doi.org/10.1214/ECP.v20-4315.
[Published Version]
View
| Files available
| DOI
2015 | Published | Journal Article | IST-REx-ID: 1635 |

Erbar, Matthias, Jan Maas, and Prasad Tetali. “Discrete Ricci Curvature Bounds for Bernoulli-Laplace and Random Transposition Models.” Annales de La Faculté Des Sciences de Toulouse. Faculté des sciences de Toulouse, 2015. https://doi.org/10.5802/afst.1464.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2014 | Published | Journal Article | IST-REx-ID: 2131 |

Hairer, Martin, Jan Maas, and Hendrik Weber. “Approximating Rough Stochastic PDEs.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2014. https://doi.org/10.1002/cpa.21495.
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| DOI
| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2132 |

Erbar, Matthias, and Jan Maas. “Gradient Flow Structures for Discrete Porous Medium Equations.” Discrete and Continuous Dynamical Systems- Series A. Southwest Missouri State University, 2014. https://doi.org/10.3934/dcds.2014.34.1355 .
View
| DOI
| Download (ext.)
2014 | Published | Journal Article | IST-REx-ID: 2133 |

Carlen, Eric, and Jan 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. Springer, 2014. https://doi.org/10.1007/s00220-014-2124-8.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2117 |

Dirksen, Sjoerd, Jan Maas, and Jan Van Neerven. “Poisson Stochastic Integration in Banach Spaces.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2013. https://doi.org/10.1214/EJP.v18-2945 .
View
| DOI
| Download (ext.)
2013 | Published | Journal Article | IST-REx-ID: 2129 |

Gigli, Nicola, and Jan Maas. “Gromov-Hausdorff Convergence of Discrete Transportation Metrics.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2013. https://doi.org/10.1137/120886315 .
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2125 |

Hairer, Martin, and Jan Maas. “A Spatial Version of the Itô-Stratonovich Correction.” Annals of Probability. Institute of Mathematical Statistics, 2012. https://doi.org/10.1214/11-AOP662.
View
| DOI
| Download (ext.)
2012 | Published | Journal Article | IST-REx-ID: 2127 |

Erbar, Matthias, and Jan Maas. “Ricci Curvature of Finite Markov Chains via Convexity of the Entropy.” Archive for Rational Mechanics and Analysis. Springer, 2012. https://doi.org/10.1007/s00205-012-0554-z.
View
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2012 | Published | Journal Article | IST-REx-ID: 2128 |

Maas, Jan, Jan Van Neerven, and Pierre Portal. “Whitney Coverings and the Tent Spaces T 1,q (γ) for the Gaussian Measure.” Arkiv För Matematik. Springer, 2012. https://doi.org/10.1007/s11512-010-0143-z.
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2011 | Published | Book Chapter | IST-REx-ID: 2116 |

Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” In Parabolic Problems, 80:463–77. Birkhäuser, 2011. https://doi.org/10.1007/978-3-0348-0075-4_24.
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2011 | Published | Journal Article | IST-REx-ID: 2122 |

Maas, Jan, Jan Van Neerven, and Pierre Portal. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” Publicacions Matemàtiques. Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011. https://doi.org/10.5565/PUBLMAT_55211_03 .
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2011 | Published | Journal Article | IST-REx-ID: 2123 |

Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations. Birkhäuser, 2011. https://doi.org/10.1007/s00028-010-0096-5.
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2011 | Published | Journal Article | IST-REx-ID: 2126 |

Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal of Functional Analysis. Academic Press, 2011. https://doi.org/10.1016/j.jfa.2011.06.009 .
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2010 | Published | Journal Article | IST-REx-ID: 2124 |

Maas, Jan. “Malliavin Calculus and Decoupling Inequalities in Banach Spaces.” Journal of Mathematical Analysis and Applications. Academic Press, 2010. https://doi.org/10.1016/j.jmaa.2009.08.041.
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2009 | Published | Journal Article | IST-REx-ID: 2119 |

Maas, Jan, and Jan Van Neerven. “Boundedness of Riesz Transforms for Elliptic Operators on Abstract Wiener Spaces.” Journal of Functional Analysis. Academic Press, 2009. https://doi.org/10.1016/j.jfa.2009.07.001.
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2008 | Published | Journal Article | IST-REx-ID: 2120 |

Maas, Jan, and Jan Van Neerven. “On the Domain of Non-Symmetric Ornstein-Uhlenbeck Operators in Banach Spaces.” Infinite Dimensional Analysis, Quantum Probability and Related Topics. World Scientific Publishing, 2008. https://doi.org/10.1142/S0219025708003245.
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2008 | Published | Journal Article | IST-REx-ID: 2121 |

Van Neerven, Jan, and Jan Maas. “A Clark-Ocone Formula in UMD Banach Spaces.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2008.
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2007 | Published | Journal Article | IST-REx-ID: 2118 |

Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups in Infinite Dimensions.” Archiv Der Mathematik. Birkhäuser, 2007. https://doi.org/10.1007/s00013-007-2082-x.
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