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73 Publications
2022 | Journal Article | IST-REx-ID: 11700 | 
Erbar, M., Forkert, D. L., Maas, J., & Mugnolo, D. (2022). Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media. American Institute of Mathematical Sciences. https://doi.org/10.3934/nhm.2022023
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2022 | Journal Article | IST-REx-ID: 12210 |
Akylzhanov, R., Kuznetsova, Y., Ruzhansky, M., & Zhang, H. (2022). Norms of certain functions of a distinguished Laplacian on the ax + b groups. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-022-03143-z
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2022 | Journal Article | IST-REx-ID: 12216 |
Carlen, E. A., & Zhang, H. (2022). Monotonicity versions of Epstein’s concavity theorem and related inequalities. Linear Algebra and Its Applications. Elsevier. https://doi.org/10.1016/j.laa.2022.09.001
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2022 | Journal Article | IST-REx-ID: 12281 |
Franceschini, C., Gonçalves, P., & Sau, F. (2022). Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics. Bernoulli. Bernoulli Society for Mathematical Statistics and Probability. https://doi.org/10.3150/21-bej1390
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2022 | Journal Article | IST-REx-ID: 10797 |
Floreani, S., Redig, F., & Sau, F. (2022). Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/21-AIHP1163
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2022 | Journal Article | IST-REx-ID: 11354 |
Dello Schiavo, L. (2022). The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold. Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/21-AOP1541
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2021 | Journal Article | IST-REx-ID: 10023 |
Karatzas, I., Maas, J., & Schachermayer, W. (2021). Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. International Press. https://doi.org/10.4310/CIS.2021.v21.n4.a1
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2021 | Journal Article | IST-REx-ID: 10613 |
Chen, J. P., & Sau, F. (2021). Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems. Markov Processes And Related Fields. Polymat Publishing.
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2021 | Journal Article | IST-REx-ID: 9973 |
Wirth, M., & Zhang, H. (2021). Complete gradient estimates of quantum Markov semigroups. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-021-04199-4
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2021 | Journal Article | IST-REx-ID: 10024 |
Floreani, S., Redig, F., & Sau, F. (2021). Hydrodynamics for the partial exclusion process in random environment. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2021.08.006
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2021 | Journal Article | IST-REx-ID: 10070 |
Dello Schiavo, L., & Suzuki, K. (2021). Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109234
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2021 | Journal Article | IST-REx-ID: 9627 |
Lenz, D., Weinmann, T., & Wirth, M. (2021). Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. Cambridge University Press. https://doi.org/10.1017/S0013091521000080
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2021 | Thesis | IST-REx-ID: 10030 |
Portinale, L. (2021). Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10030
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2021 | Preprint | IST-REx-ID: 9792 |
Feliciangeli, D., Gerolin, A., & Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. https://doi.org/10.48550/arXiv.2106.11217
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2021 | Thesis | IST-REx-ID: 9733 |
Feliciangeli, D. (2021). The polaron at strong coupling. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:9733
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2021 | Journal Article | IST-REx-ID: 15261
Lenz, D., Schmidt, M., & Wirth, M. (2021). Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2020.108848
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2020 | Journal Article | IST-REx-ID: 6358 |
Carlen, E. A., & Maas, J. (2020). Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-019-02434-w
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2020 | Book Chapter | IST-REx-ID: 74 |
Akopyan, A., & Karasev, R. (2020). Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In B. Klartag & E. Milman (Eds.), Geometric Aspects of Functional Analysis (Vol. 2256, pp. 1–27). Springer Nature. https://doi.org/10.1007/978-3-030-36020-7_1
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2020 | Journal Article | IST-REx-ID: 7388 |
Gerencser, M. (2020). Nondivergence form quasilinear heat equations driven by space-time white noise. Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. Elsevier. https://doi.org/10.1016/j.anihpc.2020.01.003
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2020 | Journal Article | IST-REx-ID: 7509 |
Zhang, H. (2020). From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2020.107053
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2020 | Journal Article | IST-REx-ID: 8670 |
Zhang, H. (2020). Equality conditions of data processing inequality for α-z Rényi relative entropies. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0022787
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2020 | Journal Article | IST-REx-ID: 8758 |
Maas, J., & Mielke, A. (2020). Modeling of chemical reaction systems with detailed balance using gradient structures. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02663-4
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2020 | Thesis | IST-REx-ID: 7629 |
Forkert, D. L. (2020). Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:7629
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2020 | Journal Article | IST-REx-ID: 7573 |
Gladbach, P., Kopfer, E., Maas, J., & Portinale, L. (2020). Homogenisation of one-dimensional discrete optimal transport. Journal de Mathematiques Pures et Appliquees. Elsevier. https://doi.org/10.1016/j.matpur.2020.02.008
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2020 | Preprint | IST-REx-ID: 10022 |
Forkert, D. L., Maas, J., & Portinale, L. (n.d.). Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions. arXiv.
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2020 | Journal Article | IST-REx-ID: 71 |
Gladbach, P., Kopfer, E., & Maas, J. (2020). Scaling limits of discrete optimal transport. SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/19M1243440
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2020 | Journal Article | IST-REx-ID: 6359 |
Dareiotis, K., & Gerencser, M. (2020). On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift. Electronic Journal of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/20-EJP479
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2020 | Journal Article | IST-REx-ID: 8973 |
Redig, F., Saada, E., & Sau, F. (2020). Symmetric simple exclusion process in dynamic environment: Hydrodynamics. Electronic Journal of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/20-EJP536
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2019 | Journal Article | IST-REx-ID: 7550 |
Portinale, L., & Stefanelli, U. (2019). Penalization via global functionals of optimal-control problems for dissipative evolution. Advances in Mathematical Sciences and Applications. Gakko Tosho.
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2019 | Journal Article | IST-REx-ID: 301 |
Gerencser, M., & Gyöngy, I. (2019). A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2018.04.003
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2019 | Journal Article | IST-REx-ID: 65 |
Dareiotis, K., Gerencser, M., & Gess, B. (2019). Entropy solutions for stochastic porous media equations. Journal of Differential Equations. Elsevier. https://doi.org/10.1016/j.jde.2018.09.012
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2019 | Journal Article | IST-REx-ID: 319 |
Gerencser, M., & Hairer, M. (2019). Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-018-0841-1
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2019 | Journal Article | IST-REx-ID: 6028 |
Gerencser, M., & Hairer, M. (2019). A solution theory for quasilinear singular SPDEs. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21816
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2019 | Journal Article | IST-REx-ID: 6232 |
Gerencser, M. (2019). Boundary regularity of stochastic PDEs. Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/18-AOP1272
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2019 | Journal Article | IST-REx-ID: 10878 |
Flandoli, F., Priola, E., & Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2019126
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2019 | Journal Article | IST-REx-ID: 73 |
Erbar, M., Maas, J., & Wirth, M. (2019). On the geometry of geodesics in discrete optimal transport. Calculus of Variations and Partial Differential Equations. Springer. https://doi.org/10.1007/s00526-018-1456-1
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2019 | Journal Article | IST-REx-ID: 72 |
Ferrari, P., Ghosal, P., & Nejjar, P. (2019). Limit law of a second class particle in TASEP with non-random initial condition. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/18-AIHP916
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2018 | Journal Article | IST-REx-ID: 1215 |
Flandoli, F., Russo, F., & Zanco, G. A. (2018). Infinite-dimensional calculus under weak spatial regularity of the processes. Journal of Theoretical Probability. Springer. https://doi.org/10.1007/s10959-016-0724-2
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2018 | Journal Article | IST-REx-ID: 6355 |
Akopyan, A., & Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2018.7
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2018 | Journal Article | IST-REx-ID: 70 |
Nejjar, P. (2018). Transition to shocks in TASEP and decoupling of last passage times. Latin American Journal of Probability and Mathematical Statistics. Instituto Nacional de Matematica Pura e Aplicada. https://doi.org/10.30757/ALEA.v15-49
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2018 | Preprint | IST-REx-ID: 75 |
Akopyan, A., Avvakumov, S., & Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. arXiv. https://doi.org/10.48550/arXiv.1804.03057
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2018 | Journal Article | IST-REx-ID: 556 |
Betea, D., Bouttier, J., Nejjar, P., & Vuletic, M. (2018). The free boundary Schur process and applications I. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-018-0723-1
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2017 | Journal Article | IST-REx-ID: 560 |
Gerencser, M., Jentzen, A., & Salimova, D. (2017). On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Royal Society of London. https://doi.org/10.1098/rspa.2017.0104
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2017 | Journal Article | IST-REx-ID: 642 |
Gerencser, M., & Gyöngy, I. (2017). Localization errors in solving stochastic partial differential equations in the whole space. Mathematics of Computation. American Mathematical Society. https://doi.org/10.1090/mcom/3201
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2017 | Book Chapter | IST-REx-ID: 649
Maas, J. (2017). Entropic Ricci curvature for discrete spaces. In L. Najman & P. Romon (Eds.), Modern Approaches to Discrete Curvature (Vol. 2184, pp. 159–174). Springer. https://doi.org/10.1007/978-3-319-58002-9_5
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2017 | Conference Paper | IST-REx-ID: 989
Maas, J., Rumpf, M., & Simon, S. (2017). Transport based image morphing with intensity modulation. In F. Lauze, Y. Dong, & A. Bjorholm Dahl (Eds.) (Vol. 10302, pp. 563–577). Presented at the SSVM: Scale Space and Variational Methods in Computer Vision, Kolding, Denmark: Springer. https://doi.org/10.1007/978-3-319-58771-4_45
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2017 | Journal Article | IST-REx-ID: 956 |
Carlen, E., & Maas, J. (2017). Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Journal of Functional Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2017.05.003
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2017 | Journal Article | IST-REx-ID: 447 |
Ferrari, P., & Nejjar, P. (2017). Fluctuations of the competition interface in presence of shocks. Revista Latino-Americana de Probabilidade e Estatística. Instituto Nacional de Matematica Pura e Aplicada. https://doi.org/10.30757/ALEA.v14-17
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2016 | Journal Article | IST-REx-ID: 1261 |
Maas, J., & Matthes, D. (2016). Long-time behavior of a finite volume discretization for a fourth order diffusion equation. Nonlinearity. IOP Publishing Ltd. https://doi.org/10.1088/0951-7715/29/7/1992
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2016 | Journal Article | IST-REx-ID: 1448 |
Fathi, M., & Maas, J. (2016). Entropic Ricci curvature bounds for discrete interacting systems. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/15-AAP1133
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