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

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.
LibreCat: https://research-explorer.ista.ac.at/record/12210
DOI: 10.1007/s00209-022-03143-z
WoS: 000859680700001
arXiv: 2101.00584

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.
LibreCat: https://research-explorer.ista.ac.at/record/12216
DOI: 10.1016/j.laa.2022.09.001
WoS: 000860689600014

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.
LibreCat: https://research-explorer.ista.ac.at/record/12281
DOI: 10.3150/21-bej1390
WoS: 000766619100025
arXiv: 2007.11998

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.
LibreCat: https://research-explorer.ista.ac.at/record/10797
DOI: 10.1214/21-AIHP1163
WoS: 000752489300010
arXiv: 2007.08272

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.
LibreCat: https://research-explorer.ista.ac.at/record/11354
DOI: 10.1214/21-AOP1541
WoS: 000773518500005
arXiv: 1811.11598

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/10613
arXiv: 2008.13403

M. Wirth and H. Zhang, “Complete gradient estimates of quantum Markov semigroups,” Communications in Mathematical Physics, vol. 387. Springer Nature, pp. 761–791, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9973
DOI: 10.1007/s00220-021-04199-4
WoS: 000691214200001
arXiv: 2007.13506

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.
LibreCat: https://research-explorer.ista.ac.at/record/10024
DOI: 10.1016/j.spa.2021.08.006
WoS: 000697748500005
arXiv: 1911.12564

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.
LibreCat: https://research-explorer.ista.ac.at/record/10070
DOI: 10.1016/j.jfa.2021.109234
WoS: 000703896600005
arXiv: 2008.01492

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.
LibreCat: https://research-explorer.ista.ac.at/record/9627
DOI: 10.1017/S0013091521000080
WoS: 000721363700003
arXiv: 1912.03670

L. Portinale, “Discrete-to-continuum limits of transport problems and gradient flows in the space of measures,” Institute of Science and Technology Austria, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10030
DOI: 10.15479/at:ista:10030

D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/9792
DOI: 10.48550/arXiv.2106.11217
arXiv: 2106.11217

D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9733
DOI: 10.15479/at:ista:9733

D. Lenz, M. Schmidt, and M. Wirth, “Uniqueness of form extensions and domination of semigroups,” Journal of Functional Analysis, vol. 280, no. 6. Elsevier, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/15261
DOI: 10.1016/j.jfa.2020.108848

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/74
DOI: 10.1007/978-3-030-36020-7_1
WoS: 000557689300003
arXiv: 1808.07350

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.
LibreCat: https://research-explorer.ista.ac.at/record/7388
DOI: 10.1016/j.anihpc.2020.01.003
WoS: 000531049800007
arXiv: 1902.07635

H. Zhang, “From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture,” Advances in Mathematics, vol. 365. Elsevier, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7509
DOI: 10.1016/j.aim.2020.107053
WoS: 000522798000001
arXiv: 1811.01205

H. Zhang, “Equality conditions of data processing inequality for ;1-z Rényi relative entropies,” Journal of Mathematical Physics, vol. 61, no. 10. AIP Publishing, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/8670
DOI: 10.1063/5.0022787
WoS: 000578529200001
arXiv: 2007.06644

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/7629
DOI: 10.15479/AT:ISTA:7629

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/6359
DOI: 10.1214/20-EJP479
WoS: 000550150700001
arXiv: 1812.04583

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.
LibreCat: https://research-explorer.ista.ac.at/record/8973
DOI: 10.1214/20-EJP536
WoS: 000591737500001
arXiv: 1811.01366

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.
LibreCat: https://research-explorer.ista.ac.at/record/7550
arXiv: 1910.10050

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.
LibreCat: https://research-explorer.ista.ac.at/record/301
DOI: 10.1016/j.spa.2018.04.003
WoS: 000458945300012
arXiv: 1611.04177

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.
LibreCat: https://research-explorer.ista.ac.at/record/65
DOI: 10.1016/j.jde.2018.09.012
WoS: 000456332500026
arXiv: 1803.06953

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.
LibreCat: https://research-explorer.ista.ac.at/record/319
DOI: 10.1007/s00440-018-0841-1
WoS: 000463613800001

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.
LibreCat: https://research-explorer.ista.ac.at/record/6028
DOI: 10.1002/cpa.21816
WoS: 000475465000003

M. Gerencser, “Boundary regularity of stochastic PDEs,” Annals of Probability, vol. 47, no. 2. Institute of Mathematical Statistics, pp. 804–834, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6232
DOI: 10.1214/18-AOP1272
WoS: 000459681900005
arXiv: 1705.05364

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.
LibreCat: https://research-explorer.ista.ac.at/record/10878
DOI: 10.3934/dcds.2019126
WoS: 000459954800003
arXiv: 1708.04156

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/72
DOI: 10.1214/18-AIHP916
WoS: 000487763200001
arXiv: 1710.02323

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.
LibreCat: https://research-explorer.ista.ac.at/record/1215
DOI: 10.1007/s10959-016-0724-2

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.
LibreCat: https://research-explorer.ista.ac.at/record/6355
DOI: 10.1017/fms.2018.7
WoS: 000433915500001
arXiv: 1712.10205

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.
LibreCat: https://research-explorer.ista.ac.at/record/70
DOI: 10.30757/ALEA.v15-49
WoS: 000460475800022
arXiv: 1705.08836

A. Akopyan, S. Avvakumov, and R. Karasev, “Convex fair partitions into arbitrary number of pieces.” arXiv, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/75
DOI: 10.48550/arXiv.1804.03057
arXiv: 1804.03057

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.
LibreCat: https://research-explorer.ista.ac.at/record/556
DOI: 10.1007/s00023-018-0723-1
arXiv: 1704.05809

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.
LibreCat: https://research-explorer.ista.ac.at/record/560
DOI: 10.1098/rspa.2017.0104

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.
LibreCat: https://research-explorer.ista.ac.at/record/642
DOI: 10.1090/mcom/3201

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/447
DOI: 10.30757/ALEA.v14-17

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