41 Publications

Mark all

[41]
2024 | Published | Book (Editor) | IST-REx-ID: 18899
Optimal Transport on Quantum Structures
J. Maas, S.A.E. Rademacher, T. Titkos, D. Virosztek, eds., Optimal Transport on Quantum Structures, Springer Nature, Cham, 2024.
View | DOI
 
[40]
2024 | Published | Conference Paper | IST-REx-ID: 18897 | OA
Improved convergence of score-based diffusion models via prediction-correction
F. Pedrotti, J. Maas, M. Mondelli, in:, Transactions on Machine Learning Research, 2024.
[Published Version] View | Files available | arXiv
 
[39]
2024 | Published | Journal Article | IST-REx-ID: 17143 | OA
Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces
L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[38]
2024 | Draft | Preprint | IST-REx-ID: 17350 | OA [Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[37]
2024 | Published | Journal Article | IST-REx-ID: 17282 | OA
Characterisation of gradient flows for a given functional
M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[36]
2024 | Draft | Preprint | IST-REx-ID: 17352 | OA [Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[35]
2023 | Published | Journal Article | IST-REx-ID: 12959 | OA
Homogenisation of dynamical optimal transport on periodic graphs
P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Calculus of Variations and Partial Differential Equations 62 (2023).
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[34]
2022 | Published | Journal Article | IST-REx-ID: 11700 | OA
Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph
M. Erbar, D.L. Forkert, J. Maas, D. Mugnolo, Networks and Heterogeneous Media 17 (2022) 687–717.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[33]
2022 | Published | Journal Article | IST-REx-ID: 11739 | OA
Evolutionary $\Gamma$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions
D.L. Forkert, J. Maas, L. Portinale, SIAM Journal on Mathematical Analysis 54 (2022) 4297–4333.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[32]
2021 | Published | Journal Article | IST-REx-ID: 10023 | OA
Trajectorial dissipation and gradient flow for the relative entropy in Markov chains
I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and Systems 21 (2021) 481–536.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[31]
2020 | Published | Journal Article | IST-REx-ID: 7573 | OA
Homogenisation of one-dimensional discrete optimal transport
P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Journal de Mathematiques Pures et Appliquees 139 (2020) 204–234.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2020 | Draft | Preprint | IST-REx-ID: 10022 | OA [Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[29]
2020 | Published | Journal Article | IST-REx-ID: 6358 | OA
Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
E.A. Carlen, J. Maas, Journal of Statistical Physics 178 (2020) 319–378.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[28]
2020 | Published | Journal Article | IST-REx-ID: 8758 | OA
Modeling of chemical reaction systems with detailed balance using gradient structures
J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[27]
2020 | Published | Journal Article | IST-REx-ID: 71 | OA
Scaling limits of discrete optimal transport
P. Gladbach, E. Kopfer, J. Maas, SIAM Journal on Mathematical Analysis 52 (2020) 2759–2802.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[26]
2019 | Published | Journal Article | IST-REx-ID: 73 | OA
On the geometry of geodesics in discrete optimal transport
M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[25]
2017 | Published | Book Chapter | IST-REx-ID: 649
Entropic Ricci curvature for discrete spaces
J. Maas, in:, L. Najman, P. Romon (Eds.), Modern Approaches to Discrete Curvature, Springer, 2017, pp. 159–174.
View | DOI
 
[24]
2017 | Published | Conference Paper | IST-REx-ID: 989
Transport based image morphing with intensity modulation
J. Maas, M. Rumpf, S. Simon, in:, F. Lauze, Y. Dong, A. Bjorholm Dahl (Eds.), Springer, 2017, pp. 563–577.
View | DOI | WoS
 
[23]
2017 | Published | Journal Article | IST-REx-ID: 956 | OA
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
E. Carlen, J. Maas, Journal of Functional Analysis 273 (2017) 1810–1869.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
[22]
2016 | Published | Journal Article | IST-REx-ID: 1448 | OA
Entropic Ricci curvature bounds for discrete interacting systems
M. Fathi, J. Maas, The Annals of Applied Probability 26 (2016) 1774–1806.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[21]
2016 | Published | Journal Article | IST-REx-ID: 1261 | OA [Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[20]
2015 | Published | Journal Article | IST-REx-ID: 1639 | OA
A generalized model for optimal transport of images including dissipation and density modulation
J. Maas, M. Rumpf, C. Schönlieb, S. Simon, ESAIM: Mathematical Modelling and Numerical Analysis 49 (2015) 1745–1769.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[19]
2015 | Published | Journal Article | IST-REx-ID: 1517 | OA
From large deviations to Wasserstein gradient flows in multiple dimensions
M. Erbar, J. Maas, M. Renger, Electronic Communications in Probability 20 (2015).
[Published Version] View | Files available | DOI
 
[18]
2015 | Published | Journal Article | IST-REx-ID: 1635 | OA
Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models
M. Erbar, J. Maas, P. Tetali, Annales de La Faculté Des Sciences de Toulouse 24 (2015) 781–800.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2014 | Published | Journal Article | IST-REx-ID: 2131 | OA
Approximating Rough Stochastic PDEs
M. Hairer, J. Maas, H. Weber, Communications on Pure and Applied Mathematics 67 (2014) 776–870.
View | DOI | Download (ext.)
 
[16]
2014 | Published | Journal Article | IST-REx-ID: 2132 | OA
Gradient flow structures for discrete porous medium equations
M. Erbar, J. Maas, Discrete and Continuous Dynamical Systems- Series A 34 (2014) 1355–1374.
View | DOI | Download (ext.)
 
[15]
2014 | Published | Journal Article | IST-REx-ID: 2133 | OA [Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[14]
2013 | Published | Journal Article | IST-REx-ID: 2117 | OA
Poisson stochastic integration in Banach spaces
S. Dirksen, J. Maas, J. Van Neerven, Electronic Journal of Probability 18 (2013).
View | DOI | Download (ext.)
 
[13]
2013 | Published | Journal Article | IST-REx-ID: 2129 | OA
Gromov-Hausdorff convergence of discrete transportation metrics
N. Gigli, J. Maas, SIAM Journal on Mathematical Analysis 45 (2013) 879–899.
View | DOI | Download (ext.)
 
[12]
2012 | Published | Journal Article | IST-REx-ID: 2125 | OA
A spatial version of the Itô-Stratonovich correction
M. Hairer, J. Maas, Annals of Probability 40 (2012) 1675–1714.
View | DOI | Download (ext.)
 
[11]
2012 | Published | Journal Article | IST-REx-ID: 2127 | OA
Ricci curvature of finite Markov chains via convexity of the entropy
M. Erbar, J. Maas, Archive for Rational Mechanics and Analysis 206 (2012) 997–1038.
View | DOI | Download (ext.)
 
[10]
2012 | Published | Journal Article | IST-REx-ID: 2128 | OA
Whitney coverings and the tent spaces T 1,q (γ) for the Gaussian measure
J. Maas, J. Van Neerven, P. Portal, Arkiv För Matematik 50 (2012) 379–395.
View | DOI | Download (ext.)
 
[9]
2011 | Published | Book Chapter | IST-REx-ID: 2116 | OA
Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators
J. Maas, J. Van Neerven, in:, Parabolic Problems, Birkhäuser, 2011, pp. 463–477.
View | DOI | Download (ext.)
 
[8]
2011 | Published | Journal Article | IST-REx-ID: 2122 | OA
Conical square functions and non-tangential maximal functions with respect to the Gaussian measure
J. Maas, J. Van Neerven, P. Portal, Publicacions Matemàtiques 55 (2011) 313–341.
View | DOI | Download (ext.)
 
[7]
2011 | Published | Journal Article | IST-REx-ID: 2123 | OA
A Trotter product formula for gradient flows in metric spaces
P. Clément, J. Maas, Journal of Evolution Equations 11 (2011) 405–427.
View | Files available | DOI | Download None (ext.)
 
[6]
2011 | Published | Journal Article | IST-REx-ID: 2126 | OA
Gradient flows of the entropy for finite Markov chains
J. Maas, Journal of Functional Analysis 261 (2011) 2250–2292.
View | DOI | Download (ext.)
 
[5]
2010 | Published | Journal Article | IST-REx-ID: 2124 | OA
Malliavin calculus and decoupling inequalities in Banach spaces
J. Maas, Journal of Mathematical Analysis and Applications 363 (2010) 383–398.
View | DOI | Download (ext.)
 
[4]
2009 | Published | Journal Article | IST-REx-ID: 2119 | OA
Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces
J. Maas, J. Van Neerven, Journal of Functional Analysis 257 (2009) 2410–2475.
View | DOI | Download (ext.)
 
[3]
2008 | Published | Journal Article | IST-REx-ID: 2120 | OA
On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces
J. Maas, J. Van Neerven, Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 (2008) 603–626.
View | DOI | Download (ext.)
 
[2]
2008 | Published | Journal Article | IST-REx-ID: 2121 | OA
A Clark-Ocone formula in UMD Banach spaces
J. Van Neerven, J. Maas, Electronic Communications in Probability 13 (2008) 151–164.
View | Download (ext.)
 
[1]
2007 | Published | Journal Article | IST-REx-ID: 2118 | OA
On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions
J. Maas, J. Van Neerven, Archiv Der Mathematik 89 (2007) 226–236.
View | DOI | Download (ext.)
 

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41 Publications

Mark all

[41]
2024 | Published | Book (Editor) | IST-REx-ID: 18899
Optimal Transport on Quantum Structures
J. Maas, S.A.E. Rademacher, T. Titkos, D. Virosztek, eds., Optimal Transport on Quantum Structures, Springer Nature, Cham, 2024.
View | DOI
 
[40]
2024 | Published | Conference Paper | IST-REx-ID: 18897 | OA
Improved convergence of score-based diffusion models via prediction-correction
F. Pedrotti, J. Maas, M. Mondelli, in:, Transactions on Machine Learning Research, 2024.
[Published Version] View | Files available | arXiv
 
[39]
2024 | Published | Journal Article | IST-REx-ID: 17143 | OA
Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces
L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[38]
2024 | Draft | Preprint | IST-REx-ID: 17350 | OA [Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[37]
2024 | Published | Journal Article | IST-REx-ID: 17282 | OA
Characterisation of gradient flows for a given functional
M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[36]
2024 | Draft | Preprint | IST-REx-ID: 17352 | OA [Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[35]
2023 | Published | Journal Article | IST-REx-ID: 12959 | OA
Homogenisation of dynamical optimal transport on periodic graphs
P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Calculus of Variations and Partial Differential Equations 62 (2023).
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[34]
2022 | Published | Journal Article | IST-REx-ID: 11700 | OA
Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph
M. Erbar, D.L. Forkert, J. Maas, D. Mugnolo, Networks and Heterogeneous Media 17 (2022) 687–717.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[33]
2022 | Published | Journal Article | IST-REx-ID: 11739 | OA
Evolutionary $\Gamma$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions
D.L. Forkert, J. Maas, L. Portinale, SIAM Journal on Mathematical Analysis 54 (2022) 4297–4333.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[32]
2021 | Published | Journal Article | IST-REx-ID: 10023 | OA
Trajectorial dissipation and gradient flow for the relative entropy in Markov chains
I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and Systems 21 (2021) 481–536.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[31]
2020 | Published | Journal Article | IST-REx-ID: 7573 | OA
Homogenisation of one-dimensional discrete optimal transport
P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Journal de Mathematiques Pures et Appliquees 139 (2020) 204–234.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2020 | Draft | Preprint | IST-REx-ID: 10022 | OA [Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[29]
2020 | Published | Journal Article | IST-REx-ID: 6358 | OA
Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
E.A. Carlen, J. Maas, Journal of Statistical Physics 178 (2020) 319–378.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[28]
2020 | Published | Journal Article | IST-REx-ID: 8758 | OA
Modeling of chemical reaction systems with detailed balance using gradient structures
J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[27]
2020 | Published | Journal Article | IST-REx-ID: 71 | OA
Scaling limits of discrete optimal transport
P. Gladbach, E. Kopfer, J. Maas, SIAM Journal on Mathematical Analysis 52 (2020) 2759–2802.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[26]
2019 | Published | Journal Article | IST-REx-ID: 73 | OA
On the geometry of geodesics in discrete optimal transport
M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[25]
2017 | Published | Book Chapter | IST-REx-ID: 649
Entropic Ricci curvature for discrete spaces
J. Maas, in:, L. Najman, P. Romon (Eds.), Modern Approaches to Discrete Curvature, Springer, 2017, pp. 159–174.
View | DOI
 
[24]
2017 | Published | Conference Paper | IST-REx-ID: 989
Transport based image morphing with intensity modulation
J. Maas, M. Rumpf, S. Simon, in:, F. Lauze, Y. Dong, A. Bjorholm Dahl (Eds.), Springer, 2017, pp. 563–577.
View | DOI | WoS
 
[23]
2017 | Published | Journal Article | IST-REx-ID: 956 | OA
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
E. Carlen, J. Maas, Journal of Functional Analysis 273 (2017) 1810–1869.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
[22]
2016 | Published | Journal Article | IST-REx-ID: 1448 | OA
Entropic Ricci curvature bounds for discrete interacting systems
M. Fathi, J. Maas, The Annals of Applied Probability 26 (2016) 1774–1806.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[21]
2016 | Published | Journal Article | IST-REx-ID: 1261 | OA [Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[20]
2015 | Published | Journal Article | IST-REx-ID: 1639 | OA
A generalized model for optimal transport of images including dissipation and density modulation
J. Maas, M. Rumpf, C. Schönlieb, S. Simon, ESAIM: Mathematical Modelling and Numerical Analysis 49 (2015) 1745–1769.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[19]
2015 | Published | Journal Article | IST-REx-ID: 1517 | OA
From large deviations to Wasserstein gradient flows in multiple dimensions
M. Erbar, J. Maas, M. Renger, Electronic Communications in Probability 20 (2015).
[Published Version] View | Files available | DOI
 
[18]
2015 | Published | Journal Article | IST-REx-ID: 1635 | OA
Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models
M. Erbar, J. Maas, P. Tetali, Annales de La Faculté Des Sciences de Toulouse 24 (2015) 781–800.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2014 | Published | Journal Article | IST-REx-ID: 2131 | OA
Approximating Rough Stochastic PDEs
M. Hairer, J. Maas, H. Weber, Communications on Pure and Applied Mathematics 67 (2014) 776–870.
View | DOI | Download (ext.)
 
[16]
2014 | Published | Journal Article | IST-REx-ID: 2132 | OA
Gradient flow structures for discrete porous medium equations
M. Erbar, J. Maas, Discrete and Continuous Dynamical Systems- Series A 34 (2014) 1355–1374.
View | DOI | Download (ext.)
 
[15]
2014 | Published | Journal Article | IST-REx-ID: 2133 | OA [Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[14]
2013 | Published | Journal Article | IST-REx-ID: 2117 | OA
Poisson stochastic integration in Banach spaces
S. Dirksen, J. Maas, J. Van Neerven, Electronic Journal of Probability 18 (2013).
View | DOI | Download (ext.)
 
[13]
2013 | Published | Journal Article | IST-REx-ID: 2129 | OA
Gromov-Hausdorff convergence of discrete transportation metrics
N. Gigli, J. Maas, SIAM Journal on Mathematical Analysis 45 (2013) 879–899.
View | DOI | Download (ext.)
 
[12]
2012 | Published | Journal Article | IST-REx-ID: 2125 | OA
A spatial version of the Itô-Stratonovich correction
M. Hairer, J. Maas, Annals of Probability 40 (2012) 1675–1714.
View | DOI | Download (ext.)
 
[11]
2012 | Published | Journal Article | IST-REx-ID: 2127 | OA
Ricci curvature of finite Markov chains via convexity of the entropy
M. Erbar, J. Maas, Archive for Rational Mechanics and Analysis 206 (2012) 997–1038.
View | DOI | Download (ext.)
 
[10]
2012 | Published | Journal Article | IST-REx-ID: 2128 | OA
Whitney coverings and the tent spaces T 1,q (γ) for the Gaussian measure
J. Maas, J. Van Neerven, P. Portal, Arkiv För Matematik 50 (2012) 379–395.
View | DOI | Download (ext.)
 
[9]
2011 | Published | Book Chapter | IST-REx-ID: 2116 | OA
Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators
J. Maas, J. Van Neerven, in:, Parabolic Problems, Birkhäuser, 2011, pp. 463–477.
View | DOI | Download (ext.)
 
[8]
2011 | Published | Journal Article | IST-REx-ID: 2122 | OA
Conical square functions and non-tangential maximal functions with respect to the Gaussian measure
J. Maas, J. Van Neerven, P. Portal, Publicacions Matemàtiques 55 (2011) 313–341.
View | DOI | Download (ext.)
 
[7]
2011 | Published | Journal Article | IST-REx-ID: 2123 | OA
A Trotter product formula for gradient flows in metric spaces
P. Clément, J. Maas, Journal of Evolution Equations 11 (2011) 405–427.
View | Files available | DOI | Download None (ext.)
 
[6]
2011 | Published | Journal Article | IST-REx-ID: 2126 | OA
Gradient flows of the entropy for finite Markov chains
J. Maas, Journal of Functional Analysis 261 (2011) 2250–2292.
View | DOI | Download (ext.)
 
[5]
2010 | Published | Journal Article | IST-REx-ID: 2124 | OA
Malliavin calculus and decoupling inequalities in Banach spaces
J. Maas, Journal of Mathematical Analysis and Applications 363 (2010) 383–398.
View | DOI | Download (ext.)
 
[4]
2009 | Published | Journal Article | IST-REx-ID: 2119 | OA
Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces
J. Maas, J. Van Neerven, Journal of Functional Analysis 257 (2009) 2410–2475.
View | DOI | Download (ext.)
 
[3]
2008 | Published | Journal Article | IST-REx-ID: 2120 | OA
On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces
J. Maas, J. Van Neerven, Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 (2008) 603–626.
View | DOI | Download (ext.)
 
[2]
2008 | Published | Journal Article | IST-REx-ID: 2121 | OA
A Clark-Ocone formula in UMD Banach spaces
J. Van Neerven, J. Maas, Electronic Communications in Probability 13 (2008) 151–164.
View | Download (ext.)
 
[1]
2007 | Published | Journal Article | IST-REx-ID: 2118 | OA
On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions
J. Maas, J. Van Neerven, Archiv Der Mathematik 89 (2007) 226–236.
View | DOI | Download (ext.)
 

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