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Humboldt-Universität zu Berlin - Faculty of Mathematics and Natural Sciences - Statistical Physics and Nonlinear Dynamics & Stochastic Processes



Stochastic Processes



Statistical Physics and Nonlinear Dynamics

  • impact of fluctuations in diffusion-controlled reactions
  • turbulent mixing and turbulent dispersion
  • spreading processes in biology (epidemics) and chemistry
  • disordered networks
  • anomalous diffusion
  • mathematical tools: fractional diffusion- and Fokker-Planck equation
  • non-equilibrium thermodynamics
  • polymer chains with nonlinear interactions
  • Brownian motors
  • fracture mechanics
  • intracellular dynamics of calcium 


Theory of Complex Systems and Neurophysics

  • dynamics of single stochastic neurons and neuronal populations
  • information transmission in neural systems
  • short-term synaptic plasticity
  • auditory signal transduction by hair cells
  • stochastic models of biological motility
  • active Brownian particles and other stochastic models with nonlinear friction
  • transport and diffusion in nonlinear potentials
  • first-passage-time problems with time-dependent driving or colored noise