Jan Maas

Maas Group

41 Publications

Mark all

[41]
2024 | Published | Book (Editor) | IST-REx-ID: 18899
Maas, Jan, et al., editors. Optimal Transport on Quantum Structures. Vol. 29, Springer Nature, 2024, doi:10.1007/978-3-031-50466-2.
View | DOI
 
[40]
2024 | Published | Conference Paper | IST-REx-ID: 18897 | OA
Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” Transactions on Machine Learning Research, 2024.
[Published Version] View | Files available | arXiv
 
[39]
2024 | Published | Journal Article | IST-REx-ID: 17143 | OA
Dello Schiavo, Lorenzo, et al. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” Transactions of the American Mathematical Society, vol. 377, no. 6, American Mathematical Society, 2024, pp. 3779–804, doi:10.1090/tran/9156.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[38]
2024 | Draft | Preprint | IST-REx-ID: 17350 | OA
Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” ArXiv, doi:10.48550/arXiv.2305.14164.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[37]
2024 | Published | Journal Article | IST-REx-ID: 17282 | OA
Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” Calculus of Variations and Partial Differential Equations, vol. 63, no. 6, 153, Springer Nature, 2024, doi:10.1007/s00526-024-02755-z.
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[36]
2024 | Draft | Preprint | IST-REx-ID: 17352 | OA
Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” ArXiv, 2402.04151, doi:10.48550/arXiv.2402.04151.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[35]
2023 | Published | Journal Article | IST-REx-ID: 12959 | OA
Gladbach, Peter, et al. “Homogenisation of Dynamical Optimal Transport on Periodic Graphs.” Calculus of Variations and Partial Differential Equations, vol. 62, no. 5, 143, Springer Nature, 2023, doi:10.1007/s00526-023-02472-z.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[34]
2022 | Published | Journal Article | IST-REx-ID: 11700 | OA
Erbar, Matthias, et al. “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, 2022, pp. 687–717, doi:10.3934/nhm.2022023.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[33]
2022 | Published | Journal Article | IST-REx-ID: 11739 | OA
Forkert, Dominik L., et al. “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, 2022, pp. 4297–333, doi:10.1137/21M1410968.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[32]
2021 | Published | Journal Article | IST-REx-ID: 10023 | OA
Karatzas, Ioannis, et al. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems, vol. 21, no. 4, International Press, 2021, pp. 481–536, doi:10.4310/CIS.2021.v21.n4.a1.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[31]
2020 | Published | Journal Article | IST-REx-ID: 7573 | OA
Gladbach, Peter, et al. “Homogenisation of One-Dimensional Discrete Optimal Transport.” Journal de Mathematiques Pures et Appliquees, vol. 139, no. 7, Elsevier, 2020, pp. 204–34, doi:10.1016/j.matpur.2020.02.008.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2020 | Draft | Preprint | IST-REx-ID: 10022 | OA
Forkert, Dominik L., et al. “Evolutionary Γ-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv, 2008.10962, doi:10.48550/arXiv.2008.10962.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[29]
2020 | Published | Journal Article | IST-REx-ID: 6358 | OA
Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.” Journal of Statistical Physics, vol. 178, no. 2, Springer Nature, 2020, pp. 319–78, doi:10.1007/s10955-019-02434-w.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[28]
2020 | Published | Journal Article | IST-REx-ID: 8758 | OA
Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” Journal of Statistical Physics, vol. 181, no. 6, Springer Nature, 2020, pp. 2257–303, doi:10.1007/s10955-020-02663-4.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[27]
2020 | Published | Journal Article | IST-REx-ID: 71 | OA
Gladbach, Peter, et al. “Scaling Limits of Discrete Optimal Transport.” SIAM Journal on Mathematical Analysis, vol. 52, no. 3, Society for Industrial and Applied Mathematics, 2020, pp. 2759–802, doi:10.1137/19M1243440.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[26]
2019 | Published | Journal Article | IST-REx-ID: 73 | OA
Erbar, Matthias, et al. “On the Geometry of Geodesics in Discrete Optimal Transport.” Calculus of Variations and Partial Differential Equations, vol. 58, no. 1, 19, Springer, 2019, doi:10.1007/s00526-018-1456-1.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[25]
2017 | Published | Book Chapter | IST-REx-ID: 649
Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, vol. 2184, Springer, 2017, pp. 159–74, doi:10.1007/978-3-319-58002-9_5.
View | DOI
 
[24]
2017 | Published | Conference Paper | IST-REx-ID: 989
Maas, Jan, et al. Transport Based Image Morphing with Intensity Modulation. Edited by François Lauze et al., vol. 10302, Springer, 2017, pp. 563–77, doi:10.1007/978-3-319-58771-4_45.
View | DOI | WoS
 
[23]
2017 | Published | Journal Article | IST-REx-ID: 956 | OA
Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.” Journal of Functional Analysis, vol. 273, no. 5, Academic Press, 2017, pp. 1810–69, doi:10.1016/j.jfa.2017.05.003.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
[22]
2016 | Published | Journal Article | IST-REx-ID: 1448 | OA
Fathi, Max, and Jan Maas. “Entropic Ricci Curvature Bounds for Discrete Interacting Systems.” The Annals of Applied Probability, vol. 26, no. 3, Institute of Mathematical Statistics, 2016, pp. 1774–806, doi:10.1214/15-AAP1133.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[21]
2016 | Published | Journal Article | IST-REx-ID: 1261 | OA
Maas, Jan, and Daniel Matthes. “Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation.” Nonlinearity, vol. 29, no. 7, IOP Publishing, 2016, pp. 1992–2023, doi:10.1088/0951-7715/29/7/1992.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[20]
2015 | Published | Journal Article | IST-REx-ID: 1639 | OA
Maas, Jan, et al. “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, 2015, pp. 1745–69, doi:10.1051/m2an/2015043.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[19]
2015 | Published | Journal Article | IST-REx-ID: 1517 | OA
Erbar, Matthias, et al. “From Large Deviations to Wasserstein Gradient Flows in Multiple Dimensions.” Electronic Communications in Probability, vol. 20, 89, Institute of Mathematical Statistics, 2015, doi:10.1214/ECP.v20-4315.
[Published Version] View | Files available | DOI
 
[18]
2015 | Published | Journal Article | IST-REx-ID: 1635 | OA
Erbar, Matthias, et al. “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, 2015, pp. 781–800, doi:10.5802/afst.1464.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2014 | Published | Journal Article | IST-REx-ID: 2131 | OA
Hairer, Martin, et al. “Approximating Rough Stochastic PDEs.” Communications on Pure and Applied Mathematics, vol. 67, no. 5, Wiley-Blackwell, 2014, pp. 776–870, doi:10.1002/cpa.21495.
View | DOI | Download (ext.)
 
[16]
2014 | Published | Journal Article | IST-REx-ID: 2132 | OA
Erbar, Matthias, and Jan Maas. “Gradient Flow Structures for Discrete Porous Medium Equations.” Discrete and Continuous Dynamical Systems- Series A, vol. 34, no. 4, Southwest Missouri State University, 2014, pp. 1355–74, doi:10.3934/dcds.2014.34.1355  .
View | DOI | Download (ext.)
 
[15]
2014 | Published | Journal Article | IST-REx-ID: 2133 | OA
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, vol. 331, no. 3, Springer, 2014, pp. 887–926, doi:10.1007/s00220-014-2124-8.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[14]
2013 | Published | Journal Article | IST-REx-ID: 2117 | OA
Dirksen, Sjoerd, et al. “Poisson Stochastic Integration in Banach Spaces.” Electronic Journal of Probability, vol. 18, Institute of Mathematical Statistics, 2013, doi:10.1214/EJP.v18-2945 .
View | DOI | Download (ext.)
 
[13]
2013 | Published | Journal Article | IST-REx-ID: 2129 | OA
Gigli, Nicola, and Jan Maas. “Gromov-Hausdorff Convergence of Discrete Transportation Metrics.” SIAM Journal on Mathematical Analysis, vol. 45, no. 2, Society for Industrial and Applied Mathematics , 2013, pp. 879–99, doi:10.1137/120886315 .
View | DOI | Download (ext.)
 
[12]
2012 | Published | Journal Article | IST-REx-ID: 2125 | OA
Hairer, Martin, and Jan Maas. “A Spatial Version of the Itô-Stratonovich Correction.” Annals of Probability, vol. 40, no. 4, Institute of Mathematical Statistics, 2012, pp. 1675–714, doi:10.1214/11-AOP662.
View | DOI | Download (ext.)
 
[11]
2012 | Published | Journal Article | IST-REx-ID: 2127 | OA
Erbar, Matthias, and Jan Maas. “Ricci Curvature of Finite Markov Chains via Convexity of the Entropy.” Archive for Rational Mechanics and Analysis, vol. 206, no. 3, Springer, 2012, pp. 997–1038, doi:10.1007/s00205-012-0554-z.
View | DOI | Download (ext.)
 
[10]
2012 | Published | Journal Article | IST-REx-ID: 2128 | OA
Maas, Jan, et al. “Whitney Coverings and the Tent Spaces T 1,q (γ) for the Gaussian Measure.” Arkiv För Matematik, vol. 50, no. 2, Springer, 2012, pp. 379–95, doi:10.1007/s11512-010-0143-z.
View | DOI | Download (ext.)
 
[9]
2011 | Published | Book Chapter | IST-REx-ID: 2116 | OA
Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–77, doi:10.1007/978-3-0348-0075-4_24.
View | DOI | Download (ext.)
 
[8]
2011 | Published | Journal Article | IST-REx-ID: 2122 | OA
Maas, Jan, et al. “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, 2011, pp. 313–41, doi:10.5565/PUBLMAT_55211_03  .
View | DOI | Download (ext.)
 
[7]
2011 | Published | Journal Article | IST-REx-ID: 2123 | OA
Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations, vol. 11, no. 2, Birkhäuser, 2011, pp. 405–27, doi:10.1007/s00028-010-0096-5.
View | Files available | DOI | Download None (ext.)
 
[6]
2011 | Published | Journal Article | IST-REx-ID: 2126 | OA
Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal of Functional Analysis, vol. 261, no. 8, Academic Press, 2011, pp. 2250–92, doi:10.1016/j.jfa.2011.06.009 .
View | DOI | Download (ext.)
 
[5]
2010 | Published | Journal Article | IST-REx-ID: 2124 | OA
Maas, Jan. “Malliavin Calculus and Decoupling Inequalities in Banach Spaces.” Journal of Mathematical Analysis and Applications, vol. 363, no. 2, Academic Press, 2010, pp. 383–98, doi:10.1016/j.jmaa.2009.08.041.
View | DOI | Download (ext.)
 
[4]
2009 | Published | Journal Article | IST-REx-ID: 2119 | OA
Maas, Jan, and Jan Van Neerven. “Boundedness of Riesz Transforms for Elliptic Operators on Abstract Wiener Spaces.” Journal of Functional Analysis, vol. 257, no. 8, Academic Press, 2009, pp. 2410–75, doi:10.1016/j.jfa.2009.07.001.
View | DOI | Download (ext.)
 
[3]
2008 | Published | Journal Article | IST-REx-ID: 2120 | OA
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, vol. 11, no. 4, World Scientific Publishing, 2008, pp. 603–26, doi:10.1142/S0219025708003245.
View | DOI | Download (ext.)
 
[2]
2008 | Published | Journal Article | IST-REx-ID: 2121 | OA
Van Neerven, Jan, and Jan Maas. “A Clark-Ocone Formula in UMD Banach Spaces.” Electronic Communications in Probability, vol. 13, Institute of Mathematical Statistics, 2008, pp. 151–64.
View | Download (ext.)
 
[1]
2007 | Published | Journal Article | IST-REx-ID: 2118 | OA
Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups in Infinite Dimensions.” Archiv Der Mathematik, vol. 89, no. 3, Birkhäuser, 2007, pp. 226–36, doi:10.1007/s00013-007-2082-x.
View | DOI | Download (ext.)
 
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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, Jan, et al., editors. Optimal Transport on Quantum Structures. Vol. 29, Springer Nature, 2024, doi:10.1007/978-3-031-50466-2.
View | DOI
 
[40]
2024 | Published | Conference Paper | IST-REx-ID: 18897 | OA
Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” Transactions on Machine Learning Research, 2024.
[Published Version] View | Files available | arXiv
 
[39]
2024 | Published | Journal Article | IST-REx-ID: 17143 | OA
Dello Schiavo, Lorenzo, et al. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” Transactions of the American Mathematical Society, vol. 377, no. 6, American Mathematical Society, 2024, pp. 3779–804, doi:10.1090/tran/9156.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[38]
2024 | Draft | Preprint | IST-REx-ID: 17350 | OA
Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” ArXiv, doi:10.48550/arXiv.2305.14164.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[37]
2024 | Published | Journal Article | IST-REx-ID: 17282 | OA
Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” Calculus of Variations and Partial Differential Equations, vol. 63, no. 6, 153, Springer Nature, 2024, doi:10.1007/s00526-024-02755-z.
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[36]
2024 | Draft | Preprint | IST-REx-ID: 17352 | OA
Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” ArXiv, 2402.04151, doi:10.48550/arXiv.2402.04151.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[35]
2023 | Published | Journal Article | IST-REx-ID: 12959 | OA
Gladbach, Peter, et al. “Homogenisation of Dynamical Optimal Transport on Periodic Graphs.” Calculus of Variations and Partial Differential Equations, vol. 62, no. 5, 143, Springer Nature, 2023, doi:10.1007/s00526-023-02472-z.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[34]
2022 | Published | Journal Article | IST-REx-ID: 11700 | OA
Erbar, Matthias, et al. “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, 2022, pp. 687–717, doi:10.3934/nhm.2022023.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[33]
2022 | Published | Journal Article | IST-REx-ID: 11739 | OA
Forkert, Dominik L., et al. “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, 2022, pp. 4297–333, doi:10.1137/21M1410968.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[32]
2021 | Published | Journal Article | IST-REx-ID: 10023 | OA
Karatzas, Ioannis, et al. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems, vol. 21, no. 4, International Press, 2021, pp. 481–536, doi:10.4310/CIS.2021.v21.n4.a1.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[31]
2020 | Published | Journal Article | IST-REx-ID: 7573 | OA
Gladbach, Peter, et al. “Homogenisation of One-Dimensional Discrete Optimal Transport.” Journal de Mathematiques Pures et Appliquees, vol. 139, no. 7, Elsevier, 2020, pp. 204–34, doi:10.1016/j.matpur.2020.02.008.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2020 | Draft | Preprint | IST-REx-ID: 10022 | OA
Forkert, Dominik L., et al. “Evolutionary Γ-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv, 2008.10962, doi:10.48550/arXiv.2008.10962.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[29]
2020 | Published | Journal Article | IST-REx-ID: 6358 | OA
Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.” Journal of Statistical Physics, vol. 178, no. 2, Springer Nature, 2020, pp. 319–78, doi:10.1007/s10955-019-02434-w.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[28]
2020 | Published | Journal Article | IST-REx-ID: 8758 | OA
Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” Journal of Statistical Physics, vol. 181, no. 6, Springer Nature, 2020, pp. 2257–303, doi:10.1007/s10955-020-02663-4.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[27]
2020 | Published | Journal Article | IST-REx-ID: 71 | OA
Gladbach, Peter, et al. “Scaling Limits of Discrete Optimal Transport.” SIAM Journal on Mathematical Analysis, vol. 52, no. 3, Society for Industrial and Applied Mathematics, 2020, pp. 2759–802, doi:10.1137/19M1243440.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[26]
2019 | Published | Journal Article | IST-REx-ID: 73 | OA
Erbar, Matthias, et al. “On the Geometry of Geodesics in Discrete Optimal Transport.” Calculus of Variations and Partial Differential Equations, vol. 58, no. 1, 19, Springer, 2019, doi:10.1007/s00526-018-1456-1.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[25]
2017 | Published | Book Chapter | IST-REx-ID: 649
Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, vol. 2184, Springer, 2017, pp. 159–74, doi:10.1007/978-3-319-58002-9_5.
View | DOI
 
[24]
2017 | Published | Conference Paper | IST-REx-ID: 989
Maas, Jan, et al. Transport Based Image Morphing with Intensity Modulation. Edited by François Lauze et al., vol. 10302, Springer, 2017, pp. 563–77, doi:10.1007/978-3-319-58771-4_45.
View | DOI | WoS
 
[23]
2017 | Published | Journal Article | IST-REx-ID: 956 | OA
Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.” Journal of Functional Analysis, vol. 273, no. 5, Academic Press, 2017, pp. 1810–69, doi:10.1016/j.jfa.2017.05.003.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
[22]
2016 | Published | Journal Article | IST-REx-ID: 1448 | OA
Fathi, Max, and Jan Maas. “Entropic Ricci Curvature Bounds for Discrete Interacting Systems.” The Annals of Applied Probability, vol. 26, no. 3, Institute of Mathematical Statistics, 2016, pp. 1774–806, doi:10.1214/15-AAP1133.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[21]
2016 | Published | Journal Article | IST-REx-ID: 1261 | OA
Maas, Jan, and Daniel Matthes. “Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation.” Nonlinearity, vol. 29, no. 7, IOP Publishing, 2016, pp. 1992–2023, doi:10.1088/0951-7715/29/7/1992.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[20]
2015 | Published | Journal Article | IST-REx-ID: 1639 | OA
Maas, Jan, et al. “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, 2015, pp. 1745–69, doi:10.1051/m2an/2015043.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[19]
2015 | Published | Journal Article | IST-REx-ID: 1517 | OA
Erbar, Matthias, et al. “From Large Deviations to Wasserstein Gradient Flows in Multiple Dimensions.” Electronic Communications in Probability, vol. 20, 89, Institute of Mathematical Statistics, 2015, doi:10.1214/ECP.v20-4315.
[Published Version] View | Files available | DOI
 
[18]
2015 | Published | Journal Article | IST-REx-ID: 1635 | OA
Erbar, Matthias, et al. “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, 2015, pp. 781–800, doi:10.5802/afst.1464.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2014 | Published | Journal Article | IST-REx-ID: 2131 | OA
Hairer, Martin, et al. “Approximating Rough Stochastic PDEs.” Communications on Pure and Applied Mathematics, vol. 67, no. 5, Wiley-Blackwell, 2014, pp. 776–870, doi:10.1002/cpa.21495.
View | DOI | Download (ext.)
 
[16]
2014 | Published | Journal Article | IST-REx-ID: 2132 | OA
Erbar, Matthias, and Jan Maas. “Gradient Flow Structures for Discrete Porous Medium Equations.” Discrete and Continuous Dynamical Systems- Series A, vol. 34, no. 4, Southwest Missouri State University, 2014, pp. 1355–74, doi:10.3934/dcds.2014.34.1355  .
View | DOI | Download (ext.)
 
[15]
2014 | Published | Journal Article | IST-REx-ID: 2133 | OA
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, vol. 331, no. 3, Springer, 2014, pp. 887–926, doi:10.1007/s00220-014-2124-8.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[14]
2013 | Published | Journal Article | IST-REx-ID: 2117 | OA
Dirksen, Sjoerd, et al. “Poisson Stochastic Integration in Banach Spaces.” Electronic Journal of Probability, vol. 18, Institute of Mathematical Statistics, 2013, doi:10.1214/EJP.v18-2945 .
View | DOI | Download (ext.)
 
[13]
2013 | Published | Journal Article | IST-REx-ID: 2129 | OA
Gigli, Nicola, and Jan Maas. “Gromov-Hausdorff Convergence of Discrete Transportation Metrics.” SIAM Journal on Mathematical Analysis, vol. 45, no. 2, Society for Industrial and Applied Mathematics , 2013, pp. 879–99, doi:10.1137/120886315 .
View | DOI | Download (ext.)
 
[12]
2012 | Published | Journal Article | IST-REx-ID: 2125 | OA
Hairer, Martin, and Jan Maas. “A Spatial Version of the Itô-Stratonovich Correction.” Annals of Probability, vol. 40, no. 4, Institute of Mathematical Statistics, 2012, pp. 1675–714, doi:10.1214/11-AOP662.
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[11]
2012 | Published | Journal Article | IST-REx-ID: 2127 | OA
Erbar, Matthias, and Jan Maas. “Ricci Curvature of Finite Markov Chains via Convexity of the Entropy.” Archive for Rational Mechanics and Analysis, vol. 206, no. 3, Springer, 2012, pp. 997–1038, doi:10.1007/s00205-012-0554-z.
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[10]
2012 | Published | Journal Article | IST-REx-ID: 2128 | OA
Maas, Jan, et al. “Whitney Coverings and the Tent Spaces T 1,q (γ) for the Gaussian Measure.” Arkiv För Matematik, vol. 50, no. 2, Springer, 2012, pp. 379–95, doi:10.1007/s11512-010-0143-z.
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[9]
2011 | Published | Book Chapter | IST-REx-ID: 2116 | OA
Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–77, doi:10.1007/978-3-0348-0075-4_24.
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[8]
2011 | Published | Journal Article | IST-REx-ID: 2122 | OA
Maas, Jan, et al. “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, 2011, pp. 313–41, doi:10.5565/PUBLMAT_55211_03  .
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[7]
2011 | Published | Journal Article | IST-REx-ID: 2123 | OA
Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations, vol. 11, no. 2, Birkhäuser, 2011, pp. 405–27, doi:10.1007/s00028-010-0096-5.
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[6]
2011 | Published | Journal Article | IST-REx-ID: 2126 | OA
Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal of Functional Analysis, vol. 261, no. 8, Academic Press, 2011, pp. 2250–92, doi:10.1016/j.jfa.2011.06.009 .
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[5]
2010 | Published | Journal Article | IST-REx-ID: 2124 | OA
Maas, Jan. “Malliavin Calculus and Decoupling Inequalities in Banach Spaces.” Journal of Mathematical Analysis and Applications, vol. 363, no. 2, Academic Press, 2010, pp. 383–98, doi:10.1016/j.jmaa.2009.08.041.
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[4]
2009 | Published | Journal Article | IST-REx-ID: 2119 | OA
Maas, Jan, and Jan Van Neerven. “Boundedness of Riesz Transforms for Elliptic Operators on Abstract Wiener Spaces.” Journal of Functional Analysis, vol. 257, no. 8, Academic Press, 2009, pp. 2410–75, doi:10.1016/j.jfa.2009.07.001.
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[3]
2008 | Published | Journal Article | IST-REx-ID: 2120 | OA
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, vol. 11, no. 4, World Scientific Publishing, 2008, pp. 603–26, doi:10.1142/S0219025708003245.
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[2]
2008 | Published | Journal Article | IST-REx-ID: 2121 | OA
Van Neerven, Jan, and Jan Maas. “A Clark-Ocone Formula in UMD Banach Spaces.” Electronic Communications in Probability, vol. 13, Institute of Mathematical Statistics, 2008, pp. 151–64.
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[1]
2007 | Published | Journal Article | IST-REx-ID: 2118 | OA
Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups in Infinite Dimensions.” Archiv Der Mathematik, vol. 89, no. 3, Birkhäuser, 2007, pp. 226–36, doi:10.1007/s00013-007-2082-x.
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