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73 Publications
2023 | Journal Article | IST-REx-ID: 10145 | 
L. Dello Schiavo, “Ergodic decomposition of Dirichlet forms via direct integrals and applications,” Potential Analysis, vol. 58. Springer Nature, pp. 573–615, 2023.
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2023 | Journal Article | IST-REx-ID: 12959 |
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.
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2023 | Journal Article | IST-REx-ID: 12911 |
D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” Journal of Functional Analysis, vol. 285, no. 4. Elsevier, 2023.
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2023 | Journal Article | IST-REx-ID: 13177 |
B. Hua, M. Keller, M. Schwarz, and M. Wirth, “Sobolev-type inequalities and eigenvalue growth on graphs with finite measure,” Proceedings of the American Mathematical Society, vol. 151, no. 8. American Mathematical Society, pp. 3401–3414, 2023.
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2023 | Journal Article | IST-REx-ID: 13145 |
L. Dello Schiavo and E. Lytvynov, “A Mecke-type characterization of the Dirichlet–Ferguson measure,” Electronic Communications in Probability, vol. 28. Institute of Mathematical Statistics, pp. 1–12, 2023.
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2023 | Journal Article | IST-REx-ID: 13318 |
A. Volberg and H. Zhang, “Noncommutative Bohnenblust–Hille inequalities,” Mathematische Annalen. Springer Nature, 2023.
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2023 | Journal Article | IST-REx-ID: 13271 |
H. Zhang, “Some convexity and monotonicity results of trace functionals,” Annales Henri Poincare. Springer Nature, 2023.
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2023 | Journal Article | IST-REx-ID: 13319 |
M. Vernooij and M. Wirth, “Derivations and KMS-symmetric quantum Markov semigroups,” Communications in Mathematical Physics, vol. 403. Springer Nature, pp. 381–416, 2023.
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2023 | Preprint | IST-REx-ID: 14732 |
O. O. Olusanya, K. Khudiakova, and H. Sachdeva, “Genetic load, eco-evolutionary feedback and extinction in a metapopulation,” bioRxiv. .
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2022 | Journal Article | IST-REx-ID: 11916 |
M. Wirth, “Kac regularity and domination of quadratic forms,” Advances in Operator Theory, vol. 7, no. 3. Springer Nature, 2022.
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2022 | Journal Article | IST-REx-ID: 12177 |
T. Cremaschi and L. Dello Schiavo, “Effective contraction of Skinning maps,” Proceedings of the American Mathematical Society, Series B, vol. 9, no. 43. American Mathematical Society, pp. 445–459, 2022.
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2022 | Journal Article | IST-REx-ID: 10588 |
L. Dello Schiavo and K. Suzuki, “Sobolev-to-Lipschitz property on QCD- spaces and applications,” Mathematische Annalen, vol. 384. Springer Nature, pp. 1815–1832, 2022.
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2022 | Journal Article | IST-REx-ID: 11330 |
M. Wirth, “A dual formula for the noncommutative transport distance,” Journal of Statistical Physics, vol. 187, no. 2. Springer Nature, 2022.
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2022 | Journal Article | IST-REx-ID: 11447 |
R. J. Saona Urmeneta, F. Kondrashov, and K. Khudiakova, “Relation between the number of peaks and the number of reciprocal sign epistatic interactions,” Bulletin of Mathematical Biology, vol. 84, no. 8. Springer Nature, 2022.
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2022 | Journal Article | IST-REx-ID: 11739 |
D. L. Forkert, J. Maas, and L. Portinale, “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, pp. 4297–4333, 2022.
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2022 | Journal Article | IST-REx-ID: 11700 |
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.
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2022 | Journal Article | IST-REx-ID: 12210 |
R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, and H. Zhang, “Norms of certain functions of a distinguished Laplacian on the ax + b groups,” Mathematische Zeitschrift, vol. 302, no. 4. Springer Nature, pp. 2327–2352, 2022.
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2022 | Journal Article | IST-REx-ID: 12216 |
E. A. Carlen and H. Zhang, “Monotonicity versions of Epstein’s concavity theorem and related inequalities,” Linear Algebra and its Applications, vol. 654. Elsevier, pp. 289–310, 2022.
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2022 | Journal Article | IST-REx-ID: 12281 |
C. Franceschini, P. Gonçalves, and F. Sau, “Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics,” Bernoulli, vol. 28, no. 2. Bernoulli Society for Mathematical Statistics and Probability, pp. 1340–1381, 2022.
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2022 | Journal Article | IST-REx-ID: 10797 |
S. Floreani, F. Redig, and F. Sau, “Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 58, no. 1. Institute of Mathematical Statistics, pp. 220–247, 2022.
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2022 | Journal Article | IST-REx-ID: 11354 |
L. Dello Schiavo, “The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold,” Annals of Probability, vol. 50, no. 2. Institute of Mathematical Statistics, pp. 591–648, 2022.
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2021 | Journal Article | IST-REx-ID: 10023 |
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.
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2021 | Journal Article | IST-REx-ID: 10613 |
J. P. Chen and F. Sau, “Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems,” Markov Processes And Related Fields, vol. 27, no. 3. Polymat Publishing, pp. 339–380, 2021.
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2021 | Journal Article | IST-REx-ID: 9973 |
M. Wirth and H. Zhang, “Complete gradient estimates of quantum Markov semigroups,” Communications in Mathematical Physics, vol. 387. Springer Nature, pp. 761–791, 2021.
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2021 | Journal Article | IST-REx-ID: 10024 |
S. Floreani, F. Redig, and F. Sau, “Hydrodynamics for the partial exclusion process in random environment,” Stochastic Processes and their Applications, vol. 142. Elsevier, pp. 124–158, 2021.
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2021 | Journal Article | IST-REx-ID: 10070 |
L. Dello Schiavo and K. Suzuki, “Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces,” Journal of Functional Analysis, vol. 281, no. 11. Elsevier, 2021.
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2021 | Journal Article | IST-REx-ID: 9627 |
D. Lenz, T. Weinmann, and M. Wirth, “Self-adjoint extensions of bipartite Hamiltonians,” Proceedings of the Edinburgh Mathematical Society, vol. 64, no. 3. Cambridge University Press, pp. 443–447, 2021.
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2021 | Thesis | IST-REx-ID: 10030 |
L. Portinale, “Discrete-to-continuum limits of transport problems and gradient flows in the space of measures,” Institute of Science and Technology Austria, 2021.
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2021 | Preprint | IST-REx-ID: 9792 |
D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” arXiv. .
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2021 | Thesis | IST-REx-ID: 9733 |
D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.
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2020 | Journal Article | IST-REx-ID: 6358 |
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.
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2020 | Book Chapter | IST-REx-ID: 74 |
A. Akopyan and R. Karasev, “Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures,” in Geometric Aspects of Functional Analysis, vol. 2256, B. Klartag and E. Milman, Eds. Springer Nature, 2020, pp. 1–27.
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2020 | Journal Article | IST-REx-ID: 7388 |
M. Gerencser, “Nondivergence form quasilinear heat equations driven by space-time white noise,” Annales de l’Institut Henri Poincaré C, Analyse non linéaire, vol. 37, no. 3. Elsevier, pp. 663–682, 2020.
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2020 | Journal Article | IST-REx-ID: 7509 |
H. Zhang, “From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture,” Advances in Mathematics, vol. 365. Elsevier, 2020.
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2020 | Journal Article | IST-REx-ID: 8670 |
H. Zhang, “Equality conditions of data processing inequality for α-z Rényi relative entropies,” Journal of Mathematical Physics, vol. 61, no. 10. AIP Publishing, 2020.
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2020 | Journal Article | IST-REx-ID: 8758 |
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.
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2020 | Thesis | IST-REx-ID: 7629 |
D. L. Forkert, “Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains,” Institute of Science and Technology Austria, 2020.
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2020 | Journal Article | IST-REx-ID: 7573 |
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.
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2020 | Preprint | IST-REx-ID: 10022 |
D. L. Forkert, J. Maas, and L. Portinale, “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 |
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.
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2020 | Journal Article | IST-REx-ID: 6359 |
K. Dareiotis and M. Gerencser, “On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift,” Electronic Journal of Probability, vol. 25. Institute of Mathematical Statistics, 2020.
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2020 | Journal Article | IST-REx-ID: 8973 |
F. Redig, E. Saada, and F. Sau, “Symmetric simple exclusion process in dynamic environment: Hydrodynamics,” Electronic Journal of Probability, vol. 25. Institute of Mathematical Statistics, 2020.
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2019 | Journal Article | IST-REx-ID: 7550 |
L. Portinale and U. Stefanelli, “Penalization via global functionals of optimal-control problems for dissipative evolution,” Advances in Mathematical Sciences and Applications, vol. 28, no. 2. Gakko Tosho, pp. 425–447, 2019.
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2019 | Journal Article | IST-REx-ID: 301 |
M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet problems,” Stochastic Processes and their Applications, vol. 129, no. 3. Elsevier, pp. 995–1012, 2019.
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2019 | Journal Article | IST-REx-ID: 65 |
K. Dareiotis, M. Gerencser, and B. Gess, “Entropy solutions for stochastic porous media equations,” Journal of Differential Equations, vol. 266, no. 6. Elsevier, pp. 3732–3763, 2019.
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2019 | Journal Article | IST-REx-ID: 319 |
M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” Probability Theory and Related Fields, vol. 173, no. 3–4. Springer, pp. 697–758, 2019.
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2019 | Journal Article | IST-REx-ID: 6028 |
M. Gerencser and M. Hairer, “A solution theory for quasilinear singular SPDEs,” Communications on Pure and Applied Mathematics, vol. 72, no. 9. Wiley, pp. 1983–2005, 2019.
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2019 | Journal Article | IST-REx-ID: 6232 |
M. Gerencser, “Boundary regularity of stochastic PDEs,” Annals of Probability, vol. 47, no. 2. Institute of Mathematical Statistics, pp. 804–834, 2019.
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2019 | Journal Article | IST-REx-ID: 10878 |
F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” Discrete and Continuous Dynamical Systems, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019.
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2019 | Journal Article | IST-REx-ID: 73 |
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.
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2019 | Journal Article | IST-REx-ID: 72 |
P. Ferrari, P. Ghosal, and P. Nejjar, “Limit law of a second class particle in TASEP with non-random initial condition,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 55, no. 3. Institute of Mathematical Statistics, pp. 1203–1225, 2019.
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2018 | Journal Article | IST-REx-ID: 1215 |
F. Flandoli, F. Russo, and G. A. Zanco, “Infinite-dimensional calculus under weak spatial regularity of the processes,” Journal of Theoretical Probability, vol. 31, no. 2. Springer, pp. 789–826, 2018.
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2018 | Journal Article | IST-REx-ID: 6355 |
A. Akopyan and S. Avvakumov, “Any cyclic quadrilateral can be inscribed in any closed convex smooth curve,” Forum of Mathematics, Sigma, vol. 6. Cambridge University Press, 2018.
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2018 | Journal Article | IST-REx-ID: 70 |
P. Nejjar, “Transition to shocks in TASEP and decoupling of last passage times,” Latin American Journal of Probability and Mathematical Statistics, vol. 15, no. 2. Instituto Nacional de Matematica Pura e Aplicada, pp. 1311–1334, 2018.
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2018 | Preprint | IST-REx-ID: 75 |
A. Akopyan, S. Avvakumov, and R. Karasev, “Convex fair partitions into arbitrary number of pieces.” arXiv, 2018.
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2018 | Journal Article | IST-REx-ID: 556 |
D. Betea, J. Bouttier, P. Nejjar, and M. Vuletic, “The free boundary Schur process and applications I,” Annales Henri Poincare, vol. 19, no. 12. Springer Nature, pp. 3663–3742, 2018.
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2017 | Journal Article | IST-REx-ID: 560 |
M. Gerencser, A. Jentzen, and D. Salimova, “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, vol. 473, no. 2207. Royal Society of London, 2017.
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2017 | Journal Article | IST-REx-ID: 642 |
M. Gerencser and I. Gyöngy, “Localization errors in solving stochastic partial differential equations in the whole space,” Mathematics of Computation, vol. 86, no. 307. American Mathematical Society, pp. 2373–2397, 2017.
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2017 | Journal Article | IST-REx-ID: 956 |
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.
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2017 | Journal Article | IST-REx-ID: 447 |
P. Ferrari and P. Nejjar, “Fluctuations of the competition interface in presence of shocks,” Revista Latino-Americana de Probabilidade e Estatística, vol. 9. Instituto Nacional de Matematica Pura e Aplicada, pp. 299–325, 2017.
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2016 | Journal Article | IST-REx-ID: 1261 |
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.
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2016 | Journal Article | IST-REx-ID: 1448 |
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.
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2015 | Journal Article | IST-REx-ID: 1517 |
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.
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2015 | Journal Article | IST-REx-ID: 1639 |
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.
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2015 | Journal Article | IST-REx-ID: 1635 |
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.
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