55 citations · 598 across the 84 of their papers we have counts for
106 papers
Asymptotic and stability analysis of kinetic models for opinion formation on networks: an Allen-Cahn approach
M. Burger, N. Loy, A. Rossi
We present the analysis of the stationary equilibria and their stability in case of an opinion formation process in presence of binary opposite opinions evolving according to major…
Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics
Philipp Nöldner, Martin Burger, Harald Garcke
We investigate the convergence of solutions of a recently proposed diffuse interface/phase field model for cell blebbing by means of matched asymptotic expansions. It is a biologic…
Covariance-modulated optimal transport and gradient flows
Martin Burger, Matthias Erbar, Franca Hoffmann +2
We study a variant of the dynamical optimal transport problem in which the energy to be minimised is modulated by the covariance matrix of the distribution. Such transport metrics…
Convergent Data-driven Regularizations for CT Reconstruction
Samira Kabri, Alexander Auras, Danilo Riccio +4
The reconstruction of images from their corresponding noisy Radon transform is a typical example of an ill-posed linear inverse problem as arising in the application of computerize…
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities
Martin Burger, Laura Kanzler, Marie-Therese Wolfram
In this paper we investigate a generalisation of a Boltzmann mean field game (BMFG) for knowledge growth, originally introduced by the economists Lucas and Moll. In BMFG the evolut…
Analysis of Kinetic Models for Label Switching and Stochastic Gradient Descent
Martin Burger, Alex Rossi
In this paper we provide a novel approach to the analysis of kinetic models for label switching, which are used for particle systems that can randomly switch between gradient flows…