Probability Seminars

## Kac’s process and the spatially homogeneous Boltzmann equation

### With Daniel Heydecker (MPI)

# Kac’s process and the spatially homogeneous Boltzmann equation

Kac introduced a family of stochastic, many particle systems which model the behaviour of a spatially homogeneous, dilute gas, with evolution through binary elastic collisions. In the limit where the number of particles diverges, the empirical measures have the spatially homogeneous Boltzmann equation as a fluid limit. Although the Boltzmann equation itself is not explicitly probabilistic, we may use Kac’s process to study the Boltzmann Equation and vice versa, and in this talk I will discuss some recent works exploring this connection.

- Speaker: Daniel Heydecker (MPI)
- Tuesday 06 September 2022, 14:00–15:00
- Venue: MR9, Centre for Mathematical Sciences.
- Series: Probability; organiser: Jason Miller.