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.
LibreCat: https://research-explorer.ista.ac.at/record/11700
DOI: 10.3934/nhm.2022023
WoS: 000812422100001
arXiv: 2105.05677

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

Monotonicity versions of Epstein's concavity theorem and related inequalities
E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.
LibreCat: https://research-explorer.ista.ac.at/record/12216
DOI: 10.1016/j.laa.2022.09.001
WoS: 000860689600014

Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics
C. Franceschini, P. Gonçalves, F. Sau, Bernoulli 28 (2022) 1340–1381.
LibreCat: https://research-explorer.ista.ac.at/record/12281
DOI: 10.3150/21-bej1390
WoS: 000766619100025
arXiv: 2007.11998

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

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/10023
DOI: 10.4310/CIS.2021.v21.n4.a1
arXiv: 2005.14177

Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems
J.P. Chen, F. Sau, Markov Processes And Related Fields 27 (2021) 339–380.
LibreCat: https://research-explorer.ista.ac.at/record/10613
arXiv: 2008.13403

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

Hydrodynamics for the partial exclusion process in random environment
S. Floreani, F. Redig, F. Sau, Stochastic Processes and Their Applications 142 (2021) 124–158.
LibreCat: https://research-explorer.ista.ac.at/record/10024
DOI: 10.1016/j.spa.2021.08.006
WoS: 000697748500005
arXiv: 1911.12564

Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces
L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/10070
DOI: 10.1016/j.jfa.2021.109234
WoS: 000703896600005
arXiv: 2008.01492

Self-adjoint extensions of bipartite Hamiltonians
D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society 64 (2021) 443–447.
LibreCat: https://research-explorer.ista.ac.at/record/9627
DOI: 10.1017/S0013091521000080
WoS: 000721363700003
arXiv: 1912.03670

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, Institute of Science and Technology Austria, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10030
DOI: 10.15479/at:ista:10030

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

The polaron at strong coupling
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

Uniqueness of form extensions and domination of semigroups
D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/15261
DOI: 10.1016/j.jfa.2020.108848

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.
LibreCat: https://research-explorer.ista.ac.at/record/6358
DOI: 10.1007/s10955-019-02434-w
WoS: 000498933300001
arXiv: 1811.04572

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

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

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

Equality conditions of data processing inequality for ;1-z Rényi relative entropies
H. Zhang, Journal of Mathematical Physics 61 (2020).
LibreCat: https://research-explorer.ista.ac.at/record/8670
DOI: 10.1063/5.0022787
WoS: 000578529200001
arXiv: 2007.06644

Modeling of chemical reaction systems with detailed balance using gradient structures
J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.
LibreCat: https://research-explorer.ista.ac.at/record/8758
DOI: 10.1007/s10955-020-02663-4
WoS: 000587107200002
arXiv: 2004.02831

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, Institute of Science and Technology Austria, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7629
DOI: 10.15479/AT:ISTA:7629

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.
LibreCat: https://research-explorer.ista.ac.at/record/7573
DOI: 10.1016/j.matpur.2020.02.008
WoS: 000539439400008
arXiv: 1905.05757

Evolutionary -convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions
D.L. Forkert, J. Maas, L. Portinale, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/10022
arXiv: 2008.10962

Scaling limits of discrete optimal transport
P. Gladbach, E. Kopfer, J. Maas, SIAM Journal on Mathematical Analysis 52 (2020) 2759–2802.
LibreCat: https://research-explorer.ista.ac.at/record/71
DOI: 10.1137/19M1243440
WoS: 000546975100017
arXiv: 1809.01092

On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift
K. Dareiotis, M. Gerencser, Electronic Journal of Probability 25 (2020).
LibreCat: https://research-explorer.ista.ac.at/record/6359
DOI: 10.1214/20-EJP479
WoS: 000550150700001
arXiv: 1812.04583

Symmetric simple exclusion process in dynamic environment: Hydrodynamics
F. Redig, E. Saada, F. Sau, Electronic Journal of Probability 25 (2020).
LibreCat: https://research-explorer.ista.ac.at/record/8973
DOI: 10.1214/20-EJP536
WoS: 000591737500001
arXiv: 1811.01366

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

A Feynman–Kac formula for stochastic Dirichlet problems
M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.
LibreCat: https://research-explorer.ista.ac.at/record/301
DOI: 10.1016/j.spa.2018.04.003
WoS: 000458945300012
arXiv: 1611.04177

Entropy solutions for stochastic porous media equations
K. Dareiotis, M. Gerencser, B. Gess, Journal of Differential Equations 266 (2019) 3732–3763.
LibreCat: https://research-explorer.ista.ac.at/record/65
DOI: 10.1016/j.jde.2018.09.012
WoS: 000456332500026
arXiv: 1803.06953

Singular SPDEs in domains with boundaries
M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.
LibreCat: https://research-explorer.ista.ac.at/record/319
DOI: 10.1007/s00440-018-0841-1
WoS: 000463613800001

A solution theory for quasilinear singular SPDEs
M. Gerencser, M. Hairer, Communications on Pure and Applied Mathematics 72 (2019) 1983–2005.
LibreCat: https://research-explorer.ista.ac.at/record/6028
DOI: 10.1002/cpa.21816
WoS: 000475465000003

Boundary regularity of stochastic PDEs
M. Gerencser, Annals of Probability 47 (2019) 804–834.
LibreCat: https://research-explorer.ista.ac.at/record/6232
DOI: 10.1214/18-AOP1272
WoS: 000459681900005
arXiv: 1705.05364

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

On the geometry of geodesics in discrete optimal transport
M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).
LibreCat: https://research-explorer.ista.ac.at/record/73
DOI: 10.1007/s00526-018-1456-1
WoS: 000452849400001
arXiv: 1805.06040

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

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

Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
LibreCat: https://research-explorer.ista.ac.at/record/6355
DOI: 10.1017/fms.2018.7
WoS: 000433915500001
arXiv: 1712.10205

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

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

The free boundary Schur process and applications I
D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
LibreCat: https://research-explorer.ista.ac.at/record/556
DOI: 10.1007/s00023-018-0723-1
arXiv: 1704.05809

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

Localization errors in solving stochastic partial differential equations in the whole space
M. Gerencser, I. Gyöngy, Mathematics of Computation 86 (2017) 2373–2397.
LibreCat: https://research-explorer.ista.ac.at/record/642
DOI: 10.1090/mcom/3201

Entropic Ricci curvature for discrete spaces
J. Maas, in:, L. Najman, P. Romon (Eds.), Modern Approaches to Discrete Curvature, Springer, 2017, pp. 159–174.
LibreCat: https://research-explorer.ista.ac.at/record/649
DOI: 10.1007/978-3-319-58002-9_5

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.
LibreCat: https://research-explorer.ista.ac.at/record/989
DOI: 10.1007/978-3-319-58771-4_45
WoS: 000432210900045

Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
E. Carlen, J. Maas, Journal of Functional Analysis 273 (2017) 1810–1869.
LibreCat: https://research-explorer.ista.ac.at/record/956
DOI: 10.1016/j.jfa.2017.05.003
WoS: 000406082300005

Fluctuations of the competition interface in presence of shocks
P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
LibreCat: https://research-explorer.ista.ac.at/record/447
DOI: 10.30757/ALEA.v14-17

Long-time behavior of a finite volume discretization for a fourth order diffusion equation
J. Maas, D. Matthes, Nonlinearity 29 (2016) 1992–2023.
LibreCat: https://research-explorer.ista.ac.at/record/1261
DOI: 10.1088/0951-7715/29/7/1992

Entropic Ricci curvature bounds for discrete interacting systems
M. Fathi, J. Maas, The Annals of Applied Probability 26 (2016) 1774–1806.
LibreCat: https://research-explorer.ista.ac.at/record/1448
DOI: 10.1214/15-AAP1133

From large deviations to Wasserstein gradient flows in multiple dimensions
M. Erbar, J. Maas, M. Renger, Electronic Communications in Probability 20 (2015).
LibreCat: https://research-explorer.ista.ac.at/record/1517
DOI: 10.1214/ECP.v20-4315

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.
LibreCat: https://research-explorer.ista.ac.at/record/1639
DOI: 10.1051/m2an/2015043
arXiv: 1504.01988

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.
LibreCat: https://research-explorer.ista.ac.at/record/1635
DOI: 10.5802/afst.1464
arXiv: 1409.8605