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61 Publications
2023 | Journal Article | IST-REx-ID: 12104 | 
Ergodic decompositions of Dirichlet forms under order isomorphisms
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
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L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).
2022 | Journal Article | IST-REx-ID: 10797 |
Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations
S. Floreani, F. Redig, F. Sau, Annales de l’institut Henri Poincare (B) Probability and Statistics 58 (2022) 220–247.
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S. Floreani, F. Redig, F. Sau, Annales de l’institut Henri Poincare (B) Probability and Statistics 58 (2022) 220–247.
2022 | Journal Article | IST-REx-ID: 11354 |
The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold
L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
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L. Dello Schiavo, Annals of Probability 50 (2022) 591–648.
2022 | Journal Article | IST-REx-ID: 11447 |
Relation between the number of peaks and the number of reciprocal sign epistatic interactions
R.J. Saona Urmeneta, F. Kondrashov, K. Khudiakova, Bulletin of Mathematical Biology 84 (2022).
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R.J. Saona Urmeneta, F. Kondrashov, K. Khudiakova, Bulletin of Mathematical Biology 84 (2022).
2022 | Journal Article | IST-REx-ID: 11330 |
A dual formula for the noncommutative transport distance
M. Wirth, Journal of Statistical Physics 187 (2022).
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M. Wirth, Journal of Statistical Physics 187 (2022).
2022 | Journal Article | IST-REx-ID: 11739 |
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.
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D.L. Forkert, J. Maas, L. Portinale, SIAM Journal on Mathematical Analysis 54 (2022) 4297–4333.
2022 | Journal Article | IST-REx-ID: 11916 |
Kac regularity and domination of quadratic forms
Wirth, Melchior, Kac regularity and domination of quadratic forms. Advances in Operator Theory 7 (3). 2022
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Wirth, Melchior, Kac regularity and domination of quadratic forms. Advances in Operator Theory 7 (3). 2022
2022 | Journal Article | IST-REx-ID: 12087 |
Curvature-dimension conditions for symmetric quantum Markov semigroups
Wirth, Melchior, Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 2022
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Wirth, Melchior, Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 2022
2022 | Journal Article | IST-REx-ID: 12177 |
Effective contraction of Skinning maps
T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.
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T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.
2022 | Journal Article | IST-REx-ID: 12216 |
Monotonicity versions of Epstein's concavity theorem and related inequalities
E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.
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E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.
2022 | Journal Article | IST-REx-ID: 12210 |
Norms of certain functions of a distinguished Laplacian on the ax + b groups
R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, H. Zhang, Mathematische Zeitschrift 302 (2022) 2327–2352.
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R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, H. Zhang, Mathematische Zeitschrift 302 (2022) 2327–2352.
2022 | Journal Article | IST-REx-ID: 12281 |
Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics
C. Franceschini, P. Gonçalves, F. Sau, Bernoulli 28 (2022) 1340–1381.
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C. Franceschini, P. Gonçalves, F. Sau, Bernoulli 28 (2022) 1340–1381.
2022 | Journal Article | IST-REx-ID: 10588 |
Sobolev-to-Lipschitz property on QCD- spaces and applications
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
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L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
2022 | Journal Article | IST-REx-ID: 11700 |
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.
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M. Erbar, D.L. Forkert, J. Maas, D. Mugnolo, Networks and Heterogeneous Media 17 (2022) 687–717.
2021 | Journal Article | IST-REx-ID: 10613 |
Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems
J.P. Chen, F. Sau, Markov Processes And Related Fields 27 (2021) 339–380.
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J.P. Chen, F. Sau, Markov Processes And Related Fields 27 (2021) 339–380.
2021 | Journal Article | IST-REx-ID: 10023 |
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.
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I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and Systems 21 (2021) 481–536.
2021 | Thesis | IST-REx-ID: 10030 |
Discrete-to-continuum limits of transport problems and gradient flows in the space of measures
L. Portinale, Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures, IST Austria, 2021.
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L. Portinale, Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures, IST Austria, 2021.
2021 | Journal Article | IST-REx-ID: 10145 |
Ergodic decomposition of Dirichlet forms via direct integrals and applications
L. Dello Schiavo, Potential Analysis (2021).
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L. Dello Schiavo, Potential Analysis (2021).
2021 | Journal Article | IST-REx-ID: 9627 |
Self-adjoint extensions of bipartite Hamiltonians
D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society (2021) 1–15.
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D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society (2021) 1–15.
2021 | Preprint | IST-REx-ID: 9792 |
A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature
D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).
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D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).
2021 | Journal Article | IST-REx-ID: 9973 |
Complete gradient estimates of quantum Markov semigroups
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
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M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.
2021 | Journal Article | IST-REx-ID: 10024 |
Hydrodynamics for the partial exclusion process in random environment
S. Floreani, F. Redig, F. Sau, Stochastic Processes and Their Applications 142 (2021) 124–158.
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| arXiv
S. Floreani, F. Redig, F. Sau, Stochastic Processes and Their Applications 142 (2021) 124–158.
2021 | Thesis | IST-REx-ID: 9733 |
The polaron at strong coupling
D. Feliciangeli, The Polaron at Strong Coupling, IST Austria, 2021.
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D. Feliciangeli, The Polaron at Strong Coupling, IST Austria, 2021.
2021 | Journal Article | IST-REx-ID: 10070 |
Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces
L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).
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L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).
2020 | Journal Article | IST-REx-ID: 71 |
Scaling limits of discrete optimal transport
P. Gladbach, E. Kopfer, J. Maas, SIAM Journal on Mathematical Analysis 52 (2020) 2759–2802.
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P. Gladbach, E. Kopfer, J. Maas, SIAM Journal on Mathematical Analysis 52 (2020) 2759–2802.
2020 | Journal Article | IST-REx-ID: 7388 |
Nondivergence form quasilinear heat equations driven by space-time white noise
M. Gerencser, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 37 (2020) 663–682.
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M. Gerencser, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 37 (2020) 663–682.
2020 | Book Chapter | IST-REx-ID: 74 |
Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures
A. Akopyan, R. Karasev, in:, B. Klartag, E. Milman (Eds.), Geometric Aspects of Functional Analysis, Springer Nature, 2020, pp. 1–27.
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A. Akopyan, R. Karasev, in:, B. Klartag, E. Milman (Eds.), Geometric Aspects of Functional Analysis, Springer Nature, 2020, pp. 1–27.
2020 | Journal Article | IST-REx-ID: 7509 |
From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture
H. Zhang, Advances in Mathematics 365 (2020).
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H. Zhang, Advances in Mathematics 365 (2020).
2020 | Journal Article | IST-REx-ID: 7573 |
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.
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P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Journal de Mathematiques Pures et Appliquees 139 (2020) 204–234.
2020 | Thesis | IST-REx-ID: 7629 |
Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains
D.L. Forkert, Gradient Flows in Spaces of Probability Measures for Finite-Volume Schemes, Metric Graphs and Non-Reversible Markov Chains, IST Austria, 2020.
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D.L. Forkert, Gradient Flows in Spaces of Probability Measures for Finite-Volume Schemes, Metric Graphs and Non-Reversible Markov Chains, IST Austria, 2020.
2020 | Journal Article | IST-REx-ID: 6358 |
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.
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| arXiv
E.A. Carlen, J. Maas, Journal of Statistical Physics 178 (2020) 319–378.
2020 | Journal Article | IST-REx-ID: 6359 |
On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift
K. Dareiotis, M. Gerencser, Electronic Journal of Probability 25 (2020).
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K. Dareiotis, M. Gerencser, Electronic Journal of Probability 25 (2020).
2020 | Journal Article | IST-REx-ID: 8670 |
Equality conditions of data processing inequality for α-z Rényi relative entropies
H. Zhang, Journal of Mathematical Physics 61 (2020).
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H. Zhang, Journal of Mathematical Physics 61 (2020).
2020 | Journal Article | IST-REx-ID: 8758 |
Modeling of chemical reaction systems with detailed balance using gradient structures
J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.
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J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.
2020 | Journal Article | IST-REx-ID: 8973 |
Symmetric simple exclusion process in dynamic environment: Hydrodynamics
F. Redig, E. Saada, F. Sau, Electronic Journal of Probability 25 (2020).
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| arXiv
F. Redig, E. Saada, F. Sau, Electronic Journal of Probability 25 (2020).
2020 | Preprint | IST-REx-ID: 10022 |
Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions
D.L. Forkert, J. Maas, L. Portinale, ArXiv (n.d.).
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D.L. Forkert, J. Maas, L. Portinale, ArXiv (n.d.).
2019 | Journal Article | IST-REx-ID: 301 |
A Feynman–Kac formula for stochastic Dirichlet problems
M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.
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M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.
2019 | Journal Article | IST-REx-ID: 319 |
Singular SPDEs in domains with boundaries
M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.
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M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.
2019 | Journal Article | IST-REx-ID: 6028 |
A solution theory for quasilinear singular SPDEs
M. Gerencser, M. Hairer, Communications on Pure and Applied Mathematics 72 (2019) 1983–2005.
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M. Gerencser, M. Hairer, Communications on Pure and Applied Mathematics 72 (2019) 1983–2005.
2019 | Journal Article | IST-REx-ID: 72 |
Limit law of a second class particle in TASEP with non-random initial condition
P. Ferrari, P. Ghosal, P. Nejjar, Annales de l’institut Henri Poincare (B) Probability and Statistics 55 (2019) 1203–1225.
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P. Ferrari, P. Ghosal, P. Nejjar, Annales de l’institut Henri Poincare (B) Probability and Statistics 55 (2019) 1203–1225.
2019 | Journal Article | IST-REx-ID: 73 |
On the geometry of geodesics in discrete optimal transport
M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).
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M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).
2019 | Journal Article | IST-REx-ID: 10878 |
A mean-field model with discontinuous coefficients for neurons with spatial interaction
F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.
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F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.
2019 | Journal Article | IST-REx-ID: 6232 |
Boundary regularity of stochastic PDEs
M. Gerencser, Annals of Probability 47 (2019) 804–834.
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M. Gerencser, Annals of Probability 47 (2019) 804–834.
2019 | Journal Article | IST-REx-ID: 65 |
Entropy solutions for stochastic porous media equations
K. Dareiotis, M. Gerencser, B. Gess, Journal of Differential Equations 266 (2019) 3732–3763.
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K. Dareiotis, M. Gerencser, B. Gess, Journal of Differential Equations 266 (2019) 3732–3763.
2019 | Journal Article | IST-REx-ID: 7550 |
Penalization via global functionals of optimal-control problems for dissipative evolution
L. Portinale, U. Stefanelli, Advances in Mathematical Sciences and Applications 28 (2019) 425–447.
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L. Portinale, U. Stefanelli, Advances in Mathematical Sciences and Applications 28 (2019) 425–447.
2018 | Journal Article | IST-REx-ID: 556 |
The free boundary Schur process and applications I
D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
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D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
2018 | Journal Article | IST-REx-ID: 70 |
Transition to shocks in TASEP and decoupling of last passage times
P. Nejjar, Latin American Journal of Probability and Mathematical Statistics 15 (2018) 1311–1334.
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| arXiv
P. Nejjar, Latin American Journal of Probability and Mathematical Statistics 15 (2018) 1311–1334.
2018 | Preprint | IST-REx-ID: 75 |
Convex fair partitions into arbitrary number of pieces
A. Akopyan, S. Avvakumov, R. Karasev, (2018).
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A. Akopyan, S. Avvakumov, R. Karasev, (2018).
2018 | Journal Article | IST-REx-ID: 6355 |
Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
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| arXiv
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
2018 | Journal Article | IST-REx-ID: 1215 |
Infinite-dimensional calculus under weak spatial regularity of the processes
F. Flandoli, F. Russo, G.A. Zanco, Journal of Theoretical Probability 31 (2018) 789–826.
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F. Flandoli, F. Russo, G.A. Zanco, Journal of Theoretical Probability 31 (2018) 789–826.
2017 | Journal Article | IST-REx-ID: 447 |
Fluctuations of the competition interface in presence of shocks
P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
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P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
2017 | Journal Article | IST-REx-ID: 560 |
On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions
M. Gerencser, A. Jentzen, D. Salimova, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 (2017).
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M. Gerencser, A. Jentzen, D. Salimova, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 (2017).
2017 | Journal Article | IST-REx-ID: 642 |
Localization errors in solving stochastic partial differential equations in the whole space
M. Gerencser, I. Gyöngy, Mathematics of Computation 86 (2017) 2373–2397.
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M. Gerencser, I. Gyöngy, Mathematics of Computation 86 (2017) 2373–2397.
2017 | Journal Article | IST-REx-ID: 956 |
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
E. Carlen, J. Maas, Journal of Functional Analysis 273 (2017) 1810–1869.
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E. Carlen, J. Maas, Journal of Functional Analysis 273 (2017) 1810–1869.
2017 | 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.
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J. Maas, M. Rumpf, S. Simon, in:, F. Lauze, Y. Dong, A. Bjorholm Dahl (Eds.), Springer, 2017, pp. 563–577.
2017 | 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.
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J. Maas, in:, L. Najman, P. Romon (Eds.), Modern Approaches to Discrete Curvature, Springer, 2017, pp. 159–174.
2016 | Journal Article | IST-REx-ID: 1261 |
Long-time behavior of a finite volume discretization for a fourth order diffusion equation
J. Maas, D. Matthes, Nonlinearity 29 (2016) 1992–2023.
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J. Maas, D. Matthes, Nonlinearity 29 (2016) 1992–2023.
2016 | Journal Article | IST-REx-ID: 1448 |
Entropic Ricci curvature bounds for discrete interacting systems
M. Fathi, J. Maas, The Annals of Applied Probability 26 (2016) 1774–1806.
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M. Fathi, J. Maas, The Annals of Applied Probability 26 (2016) 1774–1806.
2015 | Journal Article | IST-REx-ID: 1635 |
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.
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M. Erbar, J. Maas, P. Tetali, Annales de La Faculté Des Sciences de Toulouse 24 (2015) 781–800.
2015 | Journal Article | IST-REx-ID: 1639 |
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.
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J. Maas, M. Rumpf, C. Schönlieb, S. Simon, ESAIM: Mathematical Modelling and Numerical Analysis 49 (2015) 1745–1769.
2015 | Journal Article | IST-REx-ID: 1517 |
From large deviations to Wasserstein gradient flows in multiple dimensions
M. Erbar, J. Maas, M. Renger, Electronic Communications in Probability 20 (2015).
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M. Erbar, J. Maas, M. Renger, Electronic Communications in Probability 20 (2015).