Index

• absolute time 2
• algebra 4
• Aristotelian instant 2, 3
• Aristotle 2
• beginning 3
• Bochner-Levy diffusion 12
• C-algebra 4
• character 4, 5, 5, 7
  • recurrent 7
• classification parameter 8
• Cole-Davidson Figure 1
• composite time evolution 11
• conservative system 12, 5, 5
• continuous time random walk 12, 12
• convolution 1, 8, 8
  • semigroup 8
• CTRW 12
• Debye Figure 1
• dielectric function 11
• dielectric relaxation 11
• diffusion 12
  • Bochner-Levy 12
  • fractional 12
  • Montroll-Weiss 12
• discretization 6, 7, 8
• dissipative system 12
• dynamical rule 3
• dynamical system 3
  • fractional 1
• dynamics 1, 1
  • fractional 1, Figure 1
• excess wing 11
• flow 3
• Fokker-Planck 12
• fractional 1, 1, 10, 8, 8
  • derivative 10
    • integral representation 10
  • differential equation 11
  • diffusion 12
  • dissipative system 12
  • dynamical system 1
  • dynamics 1, Figure 1
  • master equation 12
  • time evolution 8
• generator 10, 11
  • infinitesimal 10, 11
• glass 11, 11
• glass transition 11
• glassy relaxation 11
• glycerol 11
• group 3, 9
  • one-parameter 3
• Havriliak-Negami Figure 1
• infinitesimal generator 10, 11
• invariant measure 5
  • ergodic 5
• irreversibility 9
• irreversibility problem
  • normal 9
  • reversed 9
• Kac’s theorem 6
• KWW Figure 1
• master equation
  • fractional 12
• measure 5, 5, 6, 8
  • invariant 5, 5, 6
  • preserving system 5
  • preserving transformation 5, 6, 7, 8
    • induced 6
    • Kakutani’s 6
• Mittag-Leffler 12
• Mittag-Leffler function 11
  • binomial 11
• mixed state 10
• Montroll-Weiss diffusion 12
• Newton 2
• observable 3, 3, 4
  • time evolution of 3
• phase space 5, 6
• Poincare’s recurrence theorem 7
• probability measure 5, 7
  • induced 7
  • space 5
• propylene carbonate Figure 1
• random walk 12, 12, 12
• recurrence 6, 7, 8
• recurrence time 6, 7
• recurrent character 7
• relaxation Figure 1
  • Cole-Davidson Figure 1
  • Debye Figure 1
  • dielectric Figure 1
  • Havriliak-Negami Figure 1
  • Kohlrausch-Williams-Watts Figure 1
  • KWW Figure 1
• rescaling constants 8
• semigroup 3, 9
• state 4
  • mixed 10, 7
  • pure 4, 5
• subordination 8
• susceptibility 11, 11
  • dielectric 11, 11
  • frequency dependent 11, 11
• system
  • conservative 12, 5, 5
  • dissipative 12
  • dynamical 3
• theorem
  • fractional dynamics 8
  • Kac’s 6
  • local limit 8
  • Poincare’s recurrence 7
  • Riesz representation 5
• time
  • absolute 2
  • arrow 3
  • flow 2
  • recurrence 6, 7
  • waiting 12
• time evolution 3, 3, 4, 4, 5, 6, 8
  • adjoint 5
  • composite 11
  • fractional 11, 8, 8
  • induced 6, 7, 8, 8
  • macroscopic 7
  • microscopic 10, 6, 7
• time flow 2
• time instant 2, 3
  • initial 3
• time translation 3
• translation 1, 1, 2, 3, 4, 7, 8, 9
  • left 3, 4
  • right 4, 8, 9
• waiting time 12