Publications

• Maximal monotonicity and contraction semigroup for the quantum drift-diffusion (Derrida–Lebowitz–Speer–Spohn) equation
• Formation of clusters and coarsening in weakly interacting diffusions
• Formation of clusters and coarsening in weakly interacting diffusions
• Singular-limit analysis of gradient descent with noise injection
• Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions
• Evolution equations on graphs: analysis and applications
• A well-defined local continuum damage model with softening via convexification and entropic regularization
• Convergence of a stochastic particle system to the continuous generalized exchange-driven growth model
• Solutions of stationary McKean–Vlasov equation on a high-dimensional sphere and other Riemannian manifolds
• Diffusive transport on the real line: semi-contractive gradient flows and their discretization
• Existence and Non-existence for Continuous Generalized Exchange-Driven Growth model
• A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
• Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels
• Graph-to-local limit for the nonlocal interaction equation
• Covariance-Modulated Optimal Transport and Gradient Flows
• Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits
• Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
• Diffusive transport: geodesics, convexity, and gradient flows with their structure preserving discretizations
• On a novel gradient flow structure for the aggregation equation
• On a class of nonlocal continuity equations on graphs
• Variational convergence for an irreversible exchange-driven stochastic particle system
• Graph-to-local limit for a multi-species nonlocal cross-interaction system
• Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients
• Thermodynamic limit of stochastic particle systems via EDP convergence
• Cosh gradient systems and tilting
• Optimal stability estimates and a new uniqueness result for advection-diffusion equations
• Ergodicity of the infinite swapping algorithm at low temperature
• Oscillations in a Becker–Döring Model with Injection and Depletion
• The Scharfetter-Gummel scheme for aggregation-diffusion equations
• Phase transitions and a mountain pass theorem in the space of probability measures
• Nonlocal equations on discrete spaces inspired by numerical schemes
• Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
• Self-similar behavior of the exchange-driven growth model with product kernel
• Barriers of the McKean-Vlasov energy via a mountain pass theorem in the space of probability measures
• The exchange-driven growth model: basic properties and longtime behavior
• Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces
• Phase transitions in Interacting Systems
• Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus
• Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities
• Macroscopic limit of the Becker-Döring equation via gradient flows
• A non-local problem for the Fokker-Planck equation related to the Becker-Döring model
• A non-local Fokker-Planck equation related to nucleation and coarsening
• Poincaré and Log–Sobolev Inequalities for Mixtures
• Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics
• Analysis of the implicit upwind finite volume scheme with rough coefficients
• Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation
• Convergence rates for upwind schemes with rough coefficients
• Gradient flow structure for McKean-Vlasov equations on discrete spaces
• Capacitary inequalities in discrete setting and application to metastable Markov chains
• Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape
• Some recent developments in functional inequalities
• The Eyring-Kramers formula for Poincaré and logarithmic Sobolev inequalities
• Solvability, approximation and estimates for a class of singular phase field models