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Diffusion Processes and Related Problems in Analysis|Pinsky

Diffusion Processes and Related Problems in Analysis : Vol.2: Stochastic Flows

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Overview

I: Diffusion Processes and General Stochastic Flows on Manifolds.- Stability and equilibrium properties of stochastic flows of diffeomorphisms.- Stochastic flows on Riemannian manifolds.- II: Special Flows and Multipoint Motions.- Isotropic stochastic flows.- The existence of isometric stochastic flows for Riemannian Brownian motions.- Time-reversal of solutions of equations driven by L vy processes.- Birth and death on a flow.- III: Infinite Dimensional Systems.- Lyapunov exponents and stochastic flows of linear and affine hereditary systems.- Convergence in distribution of Markov processes generated by i.i.d. random matrices.- IV: Invariant Measures in Real and White Noise-Driven Systems.- Remarks on ergodic theory of stochastic flows and control flows.- Stochastic bifurcation: instructive examples in dimension one.- Lyapunov exponent and rotation number of the linear harmonic oscillator.- The growth of energy of a free particle of small mass with multiplicative real noise.- V: Iterated Function Systems.- Iterated function systems and multiplicative ergodic theory.- Weak convergence and generalized stability for solutions to random dynamical systems.- Random affine iterated function systems: mixing and encoding.

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Details

  • ISBN-13: 9780817635435
  • ISBN-10: 0817635432
  • Publisher: Birkhauser
  • Publish Date: February 1992
  • Dimensions: 9.21 x 6.14 x 0.81 inches
  • Shipping Weight: 1.51 pounds
  • Page Count: 364

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