Videos

Introductory Workshop: Kinetic Theory & Stochastic Partial Differential Equations: Kinetic Theory for Dilute Gases and Their Stochastic Variants: III

Presenter
August 29, 2025
SLMath
Keywords:
  • Interacting Particle Systems
  • many-body dynamics
  • Boltzmann equation
  • Vlasov equation
  • Lorentz gas
  • Schrödinger equation
  • singular SPDEs
  • stochastic quantization
  • regularity structures
  • paracontrolled distributions
MSC:
  • 82C40 - Kinetic theory of gases in time-dependent statistical mechanics
  • 60H15 - Stochastic partial differential equations (aspects of stochastic analysis)
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Abstract
In these lectures I give an overview of the existing results and conjectures for some classical models associated with dilute gases. More specifically I address the basic questions of law of large numbers, central limit theorem, and large deviations principle for such models when the number of particles gets large and the range of particle interaction gets small.