Kinetic models for systems of interacting agents with multiple microscopic states
DOI10.1016/j.physd.2023.133967arXiv2302.11540OpenAlexW4388282514MaRDI QIDQ6198212
Publication date: 21 February 2024
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.11540
Social networks; opinion dynamics (91D30) Monte Carlo methods (65C05) Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Computational methods for problems pertaining to biology (92-08) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Heterogeneous agent models (91B69) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84) Multi-agent systems (93A16) Jump processes on general state spaces (60J76)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kinetic models for traffic flow resulting in a reduced space of microscopic velocities
- Proposal of a risk model for vehicular traffic: a Boltzmann-type kinetic approach
- Fluid dynamic description of flocking via the Povzner-Boltzmann equation
- Kinetic modelling of multiple interactions in socio-economic systems
- Kinetic models of opinion formation
- International and domestic trading and wealth distribution
- On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
- A consistent BGK-type model for gas mixtures
- Kinetic description of collision avoidance in pedestrian crowds by sidestepping
- The physical modelling of society: A historical perspective
- On some properties of kinetic and hydrodynamic equations for inelastic interactions.
- A kinetic model of \(T\) cell autoreactivity in autoimmune diseases
- Markov jump processes and collision-like models in the kinetic description of multi-agent systems
- Boltzmann-type equations for multi-agent systems with label switching
- An SIR-like kinetic model tracking individuals' viral load
- A general framework for the kinetic modelling of polyatomic gases
- Some kinetic models for a market economy
- A mathematical model for value estimation with public information and herding
- On a kinetic model for a simple market economy
- Kinetic-controlled hydrodynamics for multilane traffic models
- An SIR model with viral load-dependent transmission
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- Wealth distribution and collective knowledge: a Boltzmann approach
- FROM EMPIRICAL DATA TO INTER-INDIVIDUAL INTERACTIONS: UNVEILING THE RULES OF COLLECTIVE ANIMAL BEHAVIOR
- EXPONENTIAL AND ALGEBRAIC RELAXATION IN KINETIC MODELS FOR WEALTH DISTRIBUTION
- The concept of irreversibility in the kinetic theory of gases
- Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
- Mean-field Analysis of Multipopulation Dynamics with Label Switching
- Spatially Inhomogeneous Evolutionary Games
- Direction-dependent turning leads to anisotropic diffusion and persistence
- Active particles methods and challenges in behavioral systems
- Optimal Transport
- Optimal control problems in transport dynamics with additive noise
- Mean-Field Sparse Optimal Control of Systems with Additive White Noise
- Mathematical modelling of oscillating patterns for chronic autoimmune diseases
- Analysis of kinetic models for label switching and stochastic gradient descent