Taming Complexity in Partial Differential Systems

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.

On nonlinear problems of parabolic type with implicit constitutive equations involving flux
M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021).

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.

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.

Ergodic decomposition of Dirichlet forms via direct integrals and applications
L. Dello Schiavo, Potential Analysis (2021).

Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, ArXiv (n.d.).

A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature
D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).

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.

Complete gradient estimates of quantum Markov semigroups
M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.

On the dynamic slip boundary condition for Navier-Stokes-like problems
A. Abbatiello, M. Bulíček, E. Maringová, Mathematical Models and Methods in Applied Sciences 31 (2021) 2165–2212.

The polaron at strong coupling
D. Feliciangeli, The Polaron at Strong Coupling, IST Austria, 2021.

Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces
L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021).

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.

A dual formula for the noncommutative transport distance
M. Wirth, Journal of Statistical Physics 187 (2022).

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.

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.).

Curvature-dimension conditions for symmetric quantum Markov semigroups
Wirth, Melchior, Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 2022

Effective contraction of Skinning maps
T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical Society, Series B 9 (2022) 445–459.

Sobolev-to-Lipschitz property on QCD- spaces and applications
L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.

Ergodic decompositions of Dirichlet forms under order isomorphisms
L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023).

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.