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Volumn 59, Issue 1-2, 2010, Pages 351-373

Crowd behavior dynamics: Entropic path-integral model

Author keywords

Action amplitude formalism; Crowd behavior dynamics; Crowd turbulence; Entropic crowd manifold; Ricci flow; Topological phase transitions

Indexed keywords

ACTION-AMPLITUDE FORMALISM; CONFIGURATION MANIFOLD; CROWD BEHAVIOR; CROWD DYNAMICS; DESCRIPTORS; DIFFUSION PROCESS; ENTROPY FUNCTION; GEOMETRICAL MODELS; GEOMETRICAL PROPERTY; MULTI-COMPONENT SYSTEMS; ORDER PARAMETER; PATH-INTEGRAL; SECOND LAW OF THERMODYNAMICS; TOPOLOGICAL PHASE; TOPOLOGICAL PHASIS;

EID: 77549086227     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-009-9544-6     Document Type: Article
Times cited : (28)

References (73)
  • 1
    • 77949425052 scopus 로고    scopus 로고
    • A coupled reaction-diffusion field model for perception-action cycle with applications to robot navigation
    • Aidman, E., Ivancevic, V., Jennings, A.: A coupled reaction-diffusion field model for perception-action cycle with applications to robot navigation. Int. J. Intel. Def. Sup. Sys. 1(2), 93-115 (2008)
    • (2008) Int. J. Intel. Def. Sup. Sys. , vol.1 , Issue.2 , pp. 93-115
    • Aidman, E.1    Ivancevic, V.2    Jennings, A.3
  • 4
    • 26544479200 scopus 로고
    • Reflections on epistemic logic
    • van Benthem, J.: Reflections on epistemic logic. Log. Anal. 133-134, 5-14 (1991)
    • (1991) Log. Anal. , vol.133-134 , pp. 5-14
    • Van Benthem, J.1
  • 5
    • 0000685770 scopus 로고    scopus 로고
    • Geometry of dynamics Lyapunov exponents and phase transitions
    • Caiani, L., Casetti, L., Clementi, C., Pettini, M.: Geometry of dynamics Lyapunov exponents and phase transitions. Phys. Rev. Lett. 79, 4361-4364 (1997)
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 4361-4364
    • Caiani, L.1    Casetti, L.2    Clementi, C.3    Pettini, M.4
  • 6
    • 0033477993 scopus 로고    scopus 로고
    • Recent developments on the Ricci flow
    • Cao, H.D., Chow, B.: Recent developments on the Ricci flow. Bull. Am. Math. Soc. 36, 59-74 (1999)
    • (1999) Bull. Am. Math. Soc. , vol.36 , pp. 59-74
    • Cao, H.D.1    Chow, B.2
  • 7
    • 0346044201 scopus 로고    scopus 로고
    • Geometric approach to Hamiltonian dynamics and statistical mechanics
    • Casetti, L., Pettini,M., Cohen, E.G.D.: Geometric approach to Hamiltonian dynamics and statistical mechanics. Phys. Rep. 337, 237-341 (2000)
    • (2000) Phys. Rep. , vol.337 , pp. 237-341
    • Pettinim., C.L.1    Cohen, E.G.D.2
  • 8
    • 85035223464 scopus 로고    scopus 로고
    • Riemannian theory of Hamiltonian chaos and Lyapunov exponents
    • Casetti, L., Clementi, C., Pettini, M.: Riemannian theory of Hamiltonian chaos and Lyapunov exponents. Phys. Rev. E 54, 5969 (1996)
    • (1996) Phys. Rev. E , vol.54 , pp. 5969
    • Casetti, L.1    Clementi, C.2    Pettini, M.3
  • 11
    • 77949424019 scopus 로고    scopus 로고
    • Logic, induction and the theory of sets
    • Cambridge Univ. Press, Cambridge
    • Forster, T.: Logic, Induction and the Theory of Sets. London Math. Soc. Student Texts 56. Cambridge Univ. Press, Cambridge (2003)
    • (2003) London Math. Soc. Student Texts 56
    • Forster, T.1
  • 12
    • 4243588056 scopus 로고    scopus 로고
    • Topology and phase transitions: A paradigmatic evidence
    • Franzosi, R., Pettini, M., Spinelli, L.: Topology and phase transitions: a paradigmatic evidence. Phys. Rev. Lett. 84, 2774-2777 (2000)
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2774-2777
    • Franzosi, R.1    Pettini, M.2    Spinelli, L.3
  • 13
    • 4644230094 scopus 로고    scopus 로고
    • Theorem on the origin of Phase Transitions
    • Franzosi, R., Pettini, M.: Theorem on the origin of Phase Transitions. Phys. Rev. Lett. 92, 060601 (2004)
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 060601
    • Franzosi, R.1    Pettini, M.2
  • 14
    • 33646077189 scopus 로고    scopus 로고
    • Nonlinear brain dynamics as macroscopic manifestation of underlying many-body field dynamics
    • Freeman, W.J., Vitiello, G.: Nonlinear brain dynamics as macroscopic manifestation of underlying many-body field dynamics. Phys. Life Rev. 3(2), 93-118 (2006)
    • (2006) Phys. Life Rev. , vol.3 , Issue.2 , pp. 93-118
    • Freeman, W.J.1    Vitiello, G.2
  • 16
    • 0021927137 scopus 로고
    • A theoretical model of phase transitions in human hand movements
    • Haken, H., Kelso, J.A.S., Bunz, H.: A theoretical model of phase transitions in human hand movements. Biol. Cybern. 51, 347-356 (1985)
    • (1985) Biol. Cybern. , vol.51 , pp. 347-356
    • Haken, H.1    Kelso, J.A.S.2    Bunz, H.3
  • 22
    • 84972513449 scopus 로고
    • Three-manifolds with positive Ricci curvature
    • Hamilton, R.S.: Three-manifolds with positive Ricci curvature. J. Differ. Geom. 17, 255-306 (1982)
    • (1982) J. Differ. Geom. , vol.17 , pp. 255-306
    • Hamilton, R.S.1
  • 24
    • 0000872141 scopus 로고
    • The Ricci flow on surfaces
    • Hamilton, R.S.: The Ricci flow on surfaces. Cont.Math. 71, 237-261 (1988)
    • (1988) Cont.Math. , vol.71 , pp. 237-261
    • Hamilton, R.S.1
  • 25
    • 84972496750 scopus 로고
    • The Harnack estimate for the Ricci flow
    • Hamilton, R.S.: The Harnack estimate for the Ricci flow. J. Differ. Geom. 37, 225-243 (1993)
    • (1993) J. Differ. Geom. , vol.37 , pp. 225-243
    • Hamilton, R.S.1
  • 28
    • 35949007691 scopus 로고
    • Social force model for pedestrian dynamics
    • Helbing, D., Molnar, P.: Social force model for pedestrian dynamics. Phys. Rev. E 51(5), 4282-4286 (1995)
    • (1995) Phys. Rev. E , vol.51 , Issue.5 , pp. 4282-4286
    • Helbing, D.1    Molnar, P.2
  • 29
    • 0034727079 scopus 로고    scopus 로고
    • Simulating dynamical features of escape panic
    • Helbing, D., Farkas, I., Vicsek, T.: Simulating dynamical features of escape panic. Nature 407, 487-490 (2000)
    • (2000) Nature , vol.407 , pp. 487-490
    • Helbing, D.1    Farkas, I.2    Vicsek, T.3
  • 31
    • 34247235039 scopus 로고    scopus 로고
    • The dynamics of crowd disasters: An empirical study
    • Helbing, D., Johansson, A., Zein Al-Abideen, H.: The dynamics of crowd disasters: an empirical study. Phys. Rev. E 75, 046109 (2007)
    • (2007) Phys. Rev. E , vol.75 , pp. 046109
    • Helbing, D.1    Johansson, A.2    Zein Al-Abideen, H.3
  • 33
    • 41849101423 scopus 로고    scopus 로고
    • Entropy conservation in the control of human action
    • Hong, S.L., Newell, K.M.: Entropy conservation in the control of human action. Nonlinear Dyn. Psych. Life Sci. 12(2), 163-190 (2008)
    • (2008) Nonlinear Dyn. Psych. Life Sci. , vol.12 , Issue.2 , pp. 163-190
    • Hong, S.L.1    Newell, K.M.2
  • 34
    • 41549133488 scopus 로고    scopus 로고
    • Entropy compensation in human motor adaptation
    • Hong, S.L., Newell, K.M.: Entropy compensation in human motor adaptation. Chaos 18(1), 013108 (2008)
    • (2008) Chaos , vol.18 , Issue.1 , pp. 013108
    • Hong, S.L.1    Newell, K.M.2
  • 35
    • 0035359285 scopus 로고    scopus 로고
    • Fuzzy-stochastic functor machine for general humanoid-robot dynamics
    • Ivancevic, V., Snoswell, M.: Fuzzy-stochastic functor machine for general humanoid-robot dynamics. IEEE Trans. Syst. Man Cybern. B 31(3), 319-330 (2001)
    • (2001) IEEE Trans. Syst. Man Cybern. B , vol.31 , Issue.3 , pp. 319-330
    • Ivancevic, V.1    Snoswell, M.2
  • 36
    • 4944267715 scopus 로고    scopus 로고
    • Symplectic rotational geometry in human biomechanics
    • Ivancevic, V.: Symplectic Rotational Geometry in Human Biomechanics. SIAM Rev. 46(3), 455-474 (2004)
    • (2004) SIAM Rev. , vol.46 , Issue.3 , pp. 455-474
    • Ivancevic, V.1
  • 37
    • 27944506497 scopus 로고    scopus 로고
    • Brain-like functor control machine for general humanoid biodynamics
    • Ivancevic, V., Beagley, N.: Brain-like functor control machine for general humanoid biodynamics. Int. J. Math. Math. Sci. 11, 1759-1779 (2005)
    • (2005) Int. J. Math. Math. Sci. , vol.11 , pp. 1759-1779
    • Ivancevic, V.1    Beagley, N.2
  • 38
    • 33745304029 scopus 로고    scopus 로고
    • Lie-Lagrangian model for realistic human bio-dynamics
    • Ivancevic, V.: Lie-Lagrangian model for realistic human bio-dynamics. Int. J. Hum. Rob. 3(2), 205-218 (2006)
    • (2006) Int. J. Hum. Rob. , vol.3 , Issue.2 , pp. 205-218
    • Ivancevic, V.1
  • 45
    • 77549085905 scopus 로고    scopus 로고
    • Extending Feynman's formalisms for modelling human joint action coordination
    • in press
    • Ivancevic, V., Aidman, E., Yen, L.: Extending Feynman's formalisms for modelling human joint action coordination. Int. J. Biomath. (2008, in press)
    • (2008) Int. J. Biomath.
    • Ivancevic, V.1    Aidman, E.2    Yen, L.3
  • 46
    • 34250656913 scopus 로고    scopus 로고
    • Life-space foam: A medium for motivational and cognitive dynamics
    • Ivancevic, V., Aidman, E.: Life-space foam: a medium for motivational and cognitive dynamics. Physica A 382, 616-630 (2007)
    • (2007) Physica A , vol.382 , pp. 616-630
    • Ivancevic, V.1    Aidman, E.2
  • 47
    • 4944225163 scopus 로고    scopus 로고
    • Generalized Hamiltonian biodynamics and topology invariants of humanoid robots
    • Ivancevic, V.: Generalized Hamiltonian biodynamics and topology invariants of humanoid robots. Int. J. Math. Math. Sci. 31(9), 555-565 (2002)
    • (2002) Int. J. Math. Math. Sci. , vol.31 , Issue.9 , pp. 555-565
    • Ivancevic, V.1
  • 48
    • 77949423540 scopus 로고    scopus 로고
    • Ricci flow and bio-reaction- diffusion systems
    • under review
    • Ivancevic, V., Ivancevic, T.: Ricci flow and bio-reaction- diffusion systems. JMSAA (2009, under review)
    • (2009) JMSAA
    • Ivancevic, V.1    Ivancevic, T.2
  • 52
    • 61449202019 scopus 로고    scopus 로고
    • Nonlinear dynamics and chaos methods in neurodynamics and complex data analysis
    • Ivancevic, T., Jain, L., Pattison, J., Hariz, A.: Nonlinear dynamics and chaos methods in neurodynamics and complex data analysis. Nonlinear Dyn. 56(1-2), 23-44 (2009)
    • (2009) Nonlinear Dyn. , vol.56 , Issue.1-2 , pp. 23-44
    • Ivancevic, T.1    Jain, L.2    Pattison, J.3    Hariz, A.4
  • 53
    • 42149192537 scopus 로고    scopus 로고
    • Large-scale model of Mammalian thalamocortical systems
    • Izhikevich, E.M., Edelman, G.M.: Large-scale model of Mammalian thalamocortical systems. PNAS 105, 3593-3598 (2008)
    • (2008) PNAS , vol.105 , pp. 3593-3598
    • Izhikevich, E.M.1    Edelman, G.M.2
  • 54
    • 52149100983 scopus 로고    scopus 로고
    • From crowd dynamics to crowd safety: A video-based analysis
    • Johansson, A., Helbing, D.Z., Al-Abideen, H., Al-Bosta, S.: From crowd dynamics to crowd safety: a video-based analysis. Adv. Com. Sys. 11(4), 497-527 (2008)
    • (2008) Adv. Com. Sys. , vol.11 , Issue.4 , pp. 497-527
    • Johansson, A.1    Helbing, D.Z.2    Al-Abideen, H.3    Al-Bosta, S.4
  • 56
    • 33746163252 scopus 로고
    • Information natural law and the self-assembly of rhythmic movement: theoretical and experimental investigations
    • Kugler, P.N., Turvey, M.T.: Information, Natural Law, and the Self-Assembly of Rhythmic Movement: Theoretical and Experimental Investigations. Erlbaum, Hillsdale (1987)
    • (1987) Erlbaum Hillsdale
    • Kugler, P.N.1    Turvey, M.T.2
  • 58
    • 0003750357 scopus 로고    scopus 로고
    • Resolving social conflicts, and, field theory in social science
    • Washington
    • Lewin, K.: Resolving Social Conflicts, and, Field Theory in Social Science. Am. Psych. Assoc., Washington (1997)
    • (1997) Am. Psych. Assoc.
    • Lewin, K.1
  • 59
    • 79959647073 scopus 로고    scopus 로고
    • Spatial and temporal analysis of pedestrian egress behavior and efficiency
    • In: Samet, H., Shahabi, C., Schneider, M. (eds.) Association of Computing Machinery (ACM), ACM, New York
    • Nara, A., Torrens, P.M.: Spatial and temporal analysis of pedestrian egress behavior and efficiency. In: Samet, H., Shahabi, C., Schneider, M. (eds.) Association of Computing Machinery (ACM) Advances in Geographic Information Systems, pp. 284-287. ACM, New York (2007)
    • (2007) Advances in Geographic Information Systems , pp. 284-287
    • Nara, A.1    Torrens, P.M.2
  • 65
    • 2442510609 scopus 로고    scopus 로고
    • Quantum noise, entanglement and chaos in the quantum field theory of mind/brain states
    • Pessa, E., Vitiello, G.: Quantum noise, entanglement and chaos in the quantum field theory of mind/brain states. Mind Matter 1, 59-79 (2003)
    • (2003) Mind Matter , vol.1 , pp. 59-79
    • Pessa, E.1    Vitiello, G.2
  • 66
    • 2442429305 scopus 로고    scopus 로고
    • Quantum noise induced entanglement and chaos in the dissipative quantum model of brain
    • Pessa, E., Vitiello, G.: Quantum noise induced entanglement and chaos in the dissipative quantum model of brain. Int. J. Mod. Phys. 18B, 841-858 (2004)
    • (2004) Int. J. Mod. Phys. 18B , pp. 841-858
    • Pessa, E.1    Vitiello, G.2
  • 70
    • 0036829017 scopus 로고    scopus 로고
    • Optimal feedback control as a theory of motor coordination
    • Todorov, E., Jordan, M.I.: Optimal feedback control as a theory of motor coordination. Nat. Neurosci. 5(11), 1226-1235 (2002)
    • (2002) Nat. Neurosci. , vol.5 , Issue.11 , pp. 1226-1235
    • Todorov, E.1    Jordan, M.I.2
  • 71
    • 34249948272 scopus 로고    scopus 로고
    • The phi complex as a neuromarker of human social coordination
    • Tognoli, E., Lagarde, J., DeGuzman, G.C., Kelso, J.A.S.: The phi complex as a neuromarker of human social coordination. PNAS 104(19), 8190-8195 (2007)
    • (2007) PNAS , vol.104 , Issue.19 , pp. 8190-8195
    • Tognoli, E.1    Lagarde, J.2    Deguzman, G.C.3    Kelso, J.A.S.4
  • 73
    • 77549086703 scopus 로고
    • Advanced field theory: Micro macro and thermal concepts
    • New York
    • Umezawa, H.: Advanced Field Theory: Micro Macro and Thermal Concepts. Am. Inst. Phys., New York (1993)
    • (1993) Am. Inst. Phys
    • Umezawa, H.1


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