P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of dynamical optimal transport on periodic graphs,” Calculus of Variations and Partial Differential Equations, vol. 62, no. 5. Springer Nature, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12959
DOI: 10.1007/s00526-023-02472-z
WoS: 000980588900001
arXiv: 2110.15321

D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary $\'47amma$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions,” SIAM Journal on Mathematical Analysis, vol. 54, no. 4. Society for Industrial and Applied Mathematics, pp. 4297–4333, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/11739
DOI: 10.1137/21M1410968
WoS: 000889274600001
arXiv: 2008.10962

M. Erbar, D. L. Forkert, J. Maas, and D. Mugnolo, “Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph,” Networks and Heterogeneous Media, vol. 17, no. 5. American Institute of Mathematical Sciences, pp. 687–717, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/11700
DOI: 10.3934/nhm.2022023
WoS: 000812422100001
arXiv: 2105.05677

I. Karatzas, J. Maas, and W. Schachermayer, “Trajectorial dissipation and gradient flow for the relative entropy in Markov chains,” Communications in Information and Systems, vol. 21, no. 4. International Press, pp. 481–536, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10023
DOI: 10.4310/CIS.2021.v21.n4.a1
arXiv: 2005.14177

E. A. Carlen and J. Maas, “Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems,” Journal of Statistical Physics, vol. 178, no. 2. Springer Nature, pp. 319–378, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/6358
DOI: 10.1007/s10955-019-02434-w
WoS: 000498933300001
arXiv: 1811.04572

J. Maas and A. Mielke, “Modeling of chemical reaction systems with detailed balance using gradient structures,” Journal of Statistical Physics, vol. 181, no. 6. Springer Nature, pp. 2257–2303, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/8758
DOI: 10.1007/s10955-020-02663-4
WoS: 000587107200002
arXiv: 2004.02831

P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of one-dimensional discrete optimal transport,” Journal de Mathematiques Pures et Appliquees, vol. 139, no. 7. Elsevier, pp. 204–234, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7573
DOI: 10.1016/j.matpur.2020.02.008
WoS: 000539439400008
arXiv: 1905.05757

D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary -convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/10022
arXiv: 2008.10962

P. Gladbach, E. Kopfer, and J. Maas, “Scaling limits of discrete optimal transport,” SIAM Journal on Mathematical Analysis, vol. 52, no. 3. Society for Industrial and Applied Mathematics, pp. 2759–2802, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/71
DOI: 10.1137/19M1243440
WoS: 000546975100017
arXiv: 1809.01092

M. Erbar, J. Maas, and M. Wirth, “On the geometry of geodesics in discrete optimal transport,” Calculus of Variations and Partial Differential Equations, vol. 58, no. 1. Springer, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/73
DOI: 10.1007/s00526-018-1456-1
WoS: 000452849400001
arXiv: 1805.06040

J. Maas, “Entropic Ricci curvature for discrete spaces,” in Modern Approaches to Discrete Curvature, vol. 2184, L. Najman and P. Romon, Eds. Springer, 2017, pp. 159–174.
LibreCat: https://research-explorer.ista.ac.at/record/649
DOI: 10.1007/978-3-319-58002-9_5

J. Maas, M. Rumpf, and S. Simon, “Transport based image morphing with intensity modulation,” presented at the SSVM:  Scale Space and Variational Methods in Computer Vision, Kolding, Denmark, 2017, vol. 10302, pp. 563–577.
LibreCat: https://research-explorer.ista.ac.at/record/989
DOI: 10.1007/978-3-319-58771-4_45
WoS: 000432210900045

E. Carlen and J. Maas, “Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance,” Journal of Functional Analysis, vol. 273, no. 5. Academic Press, pp. 1810–1869, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/956
DOI: 10.1016/j.jfa.2017.05.003
WoS: 000406082300005

J. Maas and D. Matthes, “Long-time behavior of a finite volume discretization for a fourth order diffusion equation,” Nonlinearity, vol. 29, no. 7. IOP Publishing Ltd., pp. 1992–2023, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1261
DOI: 10.1088/0951-7715/29/7/1992

M. Fathi and J. Maas, “Entropic Ricci curvature bounds for discrete interacting systems,” The Annals of Applied Probability, vol. 26, no. 3. Institute of Mathematical Statistics, pp. 1774–1806, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1448
DOI: 10.1214/15-AAP1133

M. Erbar, J. Maas, and M. Renger, “From large deviations to Wasserstein gradient flows in multiple dimensions,” Electronic Communications in Probability, vol. 20. Institute of Mathematical Statistics, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1517
DOI: 10.1214/ECP.v20-4315

J. Maas, M. Rumpf, C. Schönlieb, and S. Simon, “A generalized model for optimal transport of images including dissipation and density modulation,” ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49, no. 6. EDP Sciences, pp. 1745–1769, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1639
DOI: 10.1051/m2an/2015043
arXiv: 1504.01988

M. Erbar, J. Maas, and P. Tetali, “Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models,” Annales de la faculté des sciences de Toulouse, vol. 24, no. 4. Faculté des sciences de Toulouse, pp. 781–800, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1635
DOI: 10.5802/afst.1464
arXiv: 1409.8605

E. Carlen and J. Maas, “An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy,” Communications in Mathematical Physics, vol. 331, no. 3. Springer, pp. 887–926, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2133
DOI: 10.1007/s00220-014-2124-8

M. Hairer, J. Maas, and H. Weber, “Approximating Rough Stochastic PDEs,” Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley-Blackwell, pp. 776–870, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2131
DOI: 10.1002/cpa.21495

M. Erbar and J. Maas, “Gradient flow structures for discrete porous medium equations,” Discrete and Continuous Dynamical Systems- Series A, vol. 34, no. 4. Southwest Missouri State University, pp. 1355–1374, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2132
DOI: 10.3934/dcds.2014.34.1355  

S. Dirksen, J. Maas, and J. Van Neerven, “Poisson stochastic integration in Banach spaces,” Electronic Journal of Probability, vol. 18. Institute of Mathematical Statistics, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2117
DOI: 10.1214/EJP.v18-2945 

N. Gigli and J. Maas, “Gromov-Hausdorff convergence of discrete transportation metrics,” SIAM Journal on Mathematical Analysis, vol. 45, no. 2. Society for Industrial and Applied Mathematics , pp. 879–899, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2129
DOI: 10.1137/120886315 

M. Hairer and J. Maas, “A spatial version of the Itô-Stratonovich correction,” Annals of Probability, vol. 40, no. 4. Institute of Mathematical Statistics, pp. 1675–1714, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2125
DOI: 10.1214/11-AOP662

M. Erbar and J. Maas, “Ricci curvature of finite Markov chains via convexity of the entropy,” Archive for Rational Mechanics and Analysis, vol. 206, no. 3. Springer, pp. 997–1038, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2127
DOI: 10.1007/s00205-012-0554-z

J. Maas, J. Van Neerven, and P. Portal, “Whitney coverings and the tent spaces T 1,q (;3) for the Gaussian measure,” Arkiv för Matematik, vol. 50, no. 2. Springer, pp. 379–395, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2128
DOI: 10.1007/s11512-010-0143-z

J. Maas and J. Van Neerven, “Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators,” in Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–477.
LibreCat: https://research-explorer.ista.ac.at/record/2116
DOI: 10.1007/978-3-0348-0075-4_24

J. Maas, J. Van Neerven, and P. Portal, “Conical square functions and non-tangential maximal functions with respect to the Gaussian measure,” Publicacions Matemàtiques, vol. 55, no. 2. Universitat Autònoma de Barcelona, Departament de Matemàtique, pp. 313–341, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/2122
DOI: 10.5565/PUBLMAT_55211_03	 

P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric spaces,” Journal of Evolution Equations, vol. 11, no. 2. Birkhäuser, pp. 405–427, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/2123
DOI: 10.1007/s00028-010-0096-5

J. Maas, “Gradient flows of the entropy for finite Markov chains,” Journal of Functional Analysis, vol. 261, no. 8. Academic Press, pp. 2250–2292, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/2126
DOI: 10.1016/j.jfa.2011.06.009 

J. Maas, “Malliavin calculus and decoupling inequalities in Banach spaces,” Journal of Mathematical Analysis and Applications, vol. 363, no. 2. Academic Press, pp. 383–398, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/2124
DOI: 10.1016/j.jmaa.2009.08.041

J. Maas and J. Van Neerven, “Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces,” Journal of Functional Analysis, vol. 257, no. 8. Academic Press, pp. 2410–2475, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/2119
DOI: 10.1016/j.jfa.2009.07.001

J. Maas and J. Van Neerven, “On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces,” Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 11, no. 4. World Scientific Publishing, pp. 603–626, 2008.
LibreCat: https://research-explorer.ista.ac.at/record/2120
DOI: 10.1142/S0219025708003245

J. Van Neerven and J. Maas, “A Clark-Ocone formula in UMD Banach spaces,” Electronic Communications in Probability, vol. 13. Institute of Mathematical Statistics, pp. 151–164, 2008.
LibreCat: https://research-explorer.ista.ac.at/record/2121

J. Maas and J. Van Neerven, “On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions,” Archiv der Mathematik, vol. 89, no. 3. Birkhäuser, pp. 226–236, 2007.
LibreCat: https://research-explorer.ista.ac.at/record/2118
DOI: 10.1007/s00013-007-2082-x