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Macroeconomic Relaxation: Adjustment Processes of Hierarchical Economic Structures

Raymond J. Hawkins and Masanao Aoki
Economics 3 (1) 1 (2009)
DOI: 10.5018/economics-ejournal.ja.2009-17
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Random walk onp-adics and hierarchical systems

K. Lukierska-Walasek and K. Topolski
Physical Review B 73 (5) 054419 (2006)
DOI: 10.1103/PhysRevB.73.054419
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Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications

Jean-Philippe Bouchaud and Antoine Georges
Physics Reports 195 (4-5) 127 (1990)
DOI: 10.1016/0370-1573(90)90099-N
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Stochastic pathway to anomalous diffusion

J. Klafter, A. Blumen and M. F. Shlesinger
Physical Review A 35 (7) 3081 (1987)
DOI: 10.1103/PhysRevA.35.3081
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Dynamical singularities in ultradiffusion

W. P. Keirstead and B. A. Huberman
Physical Review A 36 (11) 5392 (1987)
DOI: 10.1103/PhysRevA.36.5392
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Hopping conduction and luminescence relaxation due to donor-acceptor pairs

I. Z. Kostadinov
Physical Review B 35 (14) 7618 (1987)
DOI: 10.1103/PhysRevB.35.7618
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Complexity and the Relaxation of Hierarchical Structures

Constantin P. Bachas and B. A. Huberman
Physical Review Letters 57 (16) 1965 (1986)
DOI: 10.1103/PhysRevLett.57.1965
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Lévy flights in quenched random force fields

Hans C. Fogedby
Physical Review E 58 (2) 1690 (1998)
DOI: 10.1103/PhysRevE.58.1690
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Diffusion and dynamical transition in hierarchical systems

S. Teitel, D. Kutasov and E. Domany
Physical Review B 36 (1) 684 (1987)
DOI: 10.1103/PhysRevB.36.684
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Random walks on Cayley trees as models for relaxation in a hierarchical system

Paolo Sibani
Physical Review B 34 (5) 3555 (1986)
DOI: 10.1103/PhysRevB.34.3555
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Diffusion in disordered media

Shlomo Havlin and Daniel Ben-Avraham
Advances in Physics 51 (1) 187 (2002)
DOI: 10.1080/00018730110116353
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Decay and diffusion in hierarchical systems

S. Grossmann, A. Engel and A.S. Mikhailov
Physics Letters A 126 (4) 239 (1988)
DOI: 10.1016/0375-9601(88)90753-0
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A stochastic renormalization approach to multifragmentation

Marcel Ovidiu Vlad
Physics Letters A 160 (6) 523 (1991)
DOI: 10.1016/0375-9601(91)91061-H
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Origin of end-of-aging and subaging scaling behavior in glassy dynamics

Paolo Sibani and Gregory G. Kenning
Physical Review E 81 (1) 011108 (2010)
DOI: 10.1103/PhysRevE.81.011108
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Reactions in Disordered Media, Modelled Through Hierarchical Structures

A. Blumen, G. Zumofen and J. Klafter
Berichte der Bunsengesellschaft für physikalische Chemie 90 (11) 1048 (1986)
DOI: 10.1002/bbpc.19860901123
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Dynamical Processes in Condensed Molecular Systems

A. Blumen, J. Klafter and G. Zumofen
Dynamical Processes in Condensed Molecular Systems 203 (1989)
DOI: 10.1142/9789814434379_0010
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Anomalous diffusion of particles driven by correlated noise

S. I. Denisov and Werner Horsthemke
Physical Review E 62 (6) 7729 (2000)
DOI: 10.1103/PhysRevE.62.7729
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Anomalous ballistic diffusion

Shlomo Havlin, Armin Bunde and H. Eugene Stanley
Physical Review B 34 (1) 445 (1986)
DOI: 10.1103/PhysRevB.34.445
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Diffusion in disordered media

Shlomo Havlin and Daniel Ben-Avraham
Advances in Physics 36 (6) 695 (1987)
DOI: 10.1080/00018738700101072
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Diffusion in hierarchies

Karl Heinz Hoffmann and Paolo Sibani
Physical Review A 38 (8) 4261 (1988)
DOI: 10.1103/PhysRevA.38.4261
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Anomalous diffusion and low-temperature spin-glass susceptibility

Paolo Sibani
Physical Review B 35 (16) 8572 (1987)
DOI: 10.1103/PhysRevB.35.8572
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Spatial, Temporal, and Energetic Disorder in Microemulsions

M. A. López-Quintela and D. Losada
Physical Review Letters 61 (9) 1131 (1988)
DOI: 10.1103/PhysRevLett.61.1131
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Diffusion and localization in hierarchical potentials

S. Teitel
Physical Review B 39 (10) 7045 (1989)
DOI: 10.1103/PhysRevB.39.7045
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Transport aspects in anomalous diffusion: Lévy walks

A. Blumen, G. Zumofen and J. Klafter
Physical Review A 40 (7) 3964 (1989)
DOI: 10.1103/PhysRevA.40.3964
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Modeling anomalous superdiffusion

A Fischer, S Seeger, K H Hoffmann, C Essex and M Davison
Journal of Physics A: Mathematical and Theoretical 40 (38) 11441 (2007)
DOI: 10.1088/1751-8113/40/38/001
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Dynamic Transition in a Hierarchical Ising System

David Kutasov, Amnon Aharony, Eytan Domany and Wolfgang Kinzel
Physical Review Letters 56 (21) 2229 (1986)
DOI: 10.1103/PhysRevLett.56.2229
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Hierarchical models for aging and relaxation of spin glasses

Paolo Sibani and Karl Heinz Hoffmann
Physical Review Letters 63 (26) 2853 (1989)
DOI: 10.1103/PhysRevLett.63.2853
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Aging and intermittency in ap-spin model of a glass

Paolo Sibani
Physical Review E 74 (3) 031115 (2006)
DOI: 10.1103/PhysRevE.74.031115
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Reaction kinetics on ultrametric spaces

G. Zumofen, A. Blumen and J. Klafter
The Journal of Chemical Physics 84 (12) 6679 (1986)
DOI: 10.1063/1.450721
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Hydrodynamic dispersion near the percolation threshold: scaling and probability densities

M Sahimi
Journal of Physics A: Mathematical and General 20 (18) L1293 (1987)
DOI: 10.1088/0305-4470/20/18/013
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Lévy walk approach to anomalous diffusion

J. Klafter, A. Blumen, G. Zumofen and M.F. Shlesinger
Physica A: Statistical Mechanics and its Applications 168 (1) 637 (1990)
DOI: 10.1016/0378-4371(90)90416-P
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Local phase-space structure and low-temperature dynamics of short-range Ising spin glasses

Paolo Sibani and Peter Schriver
Physical Review B 49 (10) 6667 (1994)
DOI: 10.1103/PhysRevB.49.6667
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Relaxation and aging in spin glasses and other complex systems

Karl Heinz Hoffmann and Paolo Sibani
Zeitschrift f�r Physik B Condensed Matter 80 (3) 429 (1990)
DOI: 10.1007/BF01323526
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Ultrametricity for physicists

R. Rammal, G. Toulouse and M. A. Virasoro
Reviews of Modern Physics 58 (3) 765 (1986)
DOI: 10.1103/RevModPhys.58.765
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Diffusion in an ultrametric space : a simple case

G. Paladin, M. Mézard and C. de Dominicis
Journal de Physique Lettres 46 (21) 985 (1985)
DOI: 10.1051/jphyslet:019850046021098500
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Relaxation in Complex Systems: Local Minima and Their Exponents

P Sibani and K. H Hoffmann
Europhysics Letters (EPL) 16 (5) 423 (1991)
DOI: 10.1209/0295-5075/16/5/002
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Anomalous transport: A one-dimensional stochastic model

G. Zumofen, J. Klafter and A. Blumen
Chemical Physics 146 (3) 433 (1990)
DOI: 10.1016/0301-0104(90)80062-3
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Subordination on ultrametric spaces

G Kohler and A Blumen
Journal of Physics A: Mathematical and General 20 (16) 5627 (1987)
DOI: 10.1088/0305-4470/20/16/036
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Studying the energy hypersurface of continuous systems - the threshold algorithm

J C Schön, H Putz and M Jansen
Journal of Physics: Condensed Matter 8 (2) 143 (1996)
DOI: 10.1088/0953-8984/8/2/004
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Variance of random walks on Cayley trees: application to the trapping problem

G H Kohler and A Blumen
Journal of Physics A: Mathematical and General 23 (23) 5611 (1990)
DOI: 10.1088/0305-4470/23/23/031
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Relaxation behaviour in ultrametric spaces

A Blumen, J Klafter and G Zumofen
Journal of Physics A: Mathematical and General 19 (2) L77 (1986)
DOI: 10.1088/0305-4470/19/2/010
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Complexity and ultradiffusion

C P Bachas and B A Huberman
Journal of Physics A: Mathematical and General 20 (14) 4995 (1987)
DOI: 10.1088/0305-4470/20/14/036
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Random walks on ultrametric spaces: low temperature patterns

A Blumen, G Zumofen and J Klafter
Journal of Physics A: Mathematical and General 19 (14) L861 (1986)
DOI: 10.1088/0305-4470/19/14/007
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A conjecture on the Vogel-Fulcher law ion hierarchical structure

T Vilgis
Journal of Physics A: Mathematical and General 20 (3) 757 (1987)
DOI: 10.1088/0305-4470/20/3/037
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Diffusion on random hierarchical structures

A Erzan, S Grossmann and A Hernandez-Machado
Journal of Physics A: Mathematical and General 20 (12) 3913 (1987)
DOI: 10.1088/0305-4470/20/12/037
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Mapping between hopping on hierarchical structures and diffusion on a family of fractals

S Havlin and H Weissman
Journal of Physics A: Mathematical and General 19 (16) L1021 (1986)
DOI: 10.1088/0305-4470/19/16/013
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Random walks on ultrametric spaces: mean and variance of the range

G H Kohler and A Blumen
Journal of Physics A: Mathematical and General 24 (12) 2807 (1991)
DOI: 10.1088/0305-4470/24/12/019
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L�vy walks for turbulence: A numerical study

G. Zumofen, A. Blumen, J. Klafter and M. F. Shlesinger
Journal of Statistical Physics 54 (5-6) 1519 (1989)
DOI: 10.1007/BF01044732
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The complexity of hierarchical systems

H A Ceccatto and B A Huberman
Physica Scripta 37 (1) 145 (1988)
DOI: 10.1088/0031-8949/37/1/021
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Fluctuations and Stochastic Phenomena in Condensed Matter

Siegfried Grossmann
Lecture Notes in Physics, Fluctuations and Stochastic Phenomena in Condensed Matter 268 287 (1987)
DOI: 10.1007/3-540-17206-8_12
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Aging Phenomena in Complex Systems: A Hierarchical Model for Temperature Step Experiments

C Schulze, K. H Hoffmann and P Sibani
Europhysics Letters (EPL) 15 (3) 361 (1991)
DOI: 10.1209/0295-5075/15/3/022
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Linear-Response Theory for Slowly Relaxing Systems

K. H Hoffmann, T Meintrup, P Sibani and C Uhlig
Europhysics Letters (EPL) 22 (8) 565 (1993)
DOI: 10.1209/0295-5075/22/8/002
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Lévy Flights and Related Topics in Physics

Hans C. Fogedby
Lecture Notes in Physics, Lévy Flights and Related Topics in Physics 450 251 (1995)
DOI: 10.1007/3-540-59222-9_38
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Molecular Dynamics and Relaxation Phenomena in Glasses

A. Blumen
Lecture Notes in Physics, Molecular Dynamics and Relaxation Phenomena in Glasses 277 1 (1987)
DOI: 10.1007/3-540-17801-5_1
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Anomalous diffusion on a fractal: A first passage time problem

J. Honerkamp and A. Baumg�rtner
Zeitschrift f�r Physik B Condensed Matter 64 (2) 253 (1986)
DOI: 10.1007/BF01303711
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Random walk on a fractal: Eigenvalue analysis

K. H. Hoffmann, S. Grossmann and F. Wegner
Zeitschrift f�r Physik B Condensed Matter 60 (2-4) 401 (1985)
DOI: 10.1007/BF01304462
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Chaotic diffusion and 1/f-noise of particles in two-dimensional solids

T. Geisel, A. Zacherl and G. Radons
Zeitschrift f�r Physik B Condensed Matter 71 (1) 117 (1988)
DOI: 10.1007/BF01310851
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Decay and diffusion in hierarchically organized systems

A. Engel, S. Grossmann and A. S. Mikhailov
Zeitschrift f�r Physik B Condensed Matter 70 (1) 101 (1988)
DOI: 10.1007/BF01320545
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Heidelberg Colloquium on Glassy Dynamics

R. G. Palmer
Lecture Notes in Physics, Heidelberg Colloquium on Glassy Dynamics 275 275 (1987)
DOI: 10.1007/BFb0057523
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Heidelberg Colloquium on Glassy Dynamics

C. De Dominicis and M. Schreckenberg
Lecture Notes in Physics, Heidelberg Colloquium on Glassy Dynamics 275 255 (1987)
DOI: 10.1007/BFb0057522
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Local state space geometry and thermal relaxation in complex landscapes: the spin-glass case

Paolo Sibani
Physica A: Statistical Mechanics and its Applications 258 (3-4) 249 (1998)
DOI: 10.1016/S0378-4371(98)00263-5
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Perspectives in Photosynthesis

J. Klafter, A. Blumen and G. Zumofen
The Jerusalem Symposia on Quantum Chemistry and Biochemistry, Perspectives in Photosynthesis 22 317 (1990)
DOI: 10.1007/978-94-009-0489-7_24
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Optical Spectroscopy of Glasses

A. Blumen, J. Klafter and G. Zumofen
Physic and Chemistry of Materials with Low-Dimensional Structures, Optical Spectroscopy of Glasses 1 199 (1986)
DOI: 10.1007/978-94-009-4650-7_5
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Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics

A. Blumen, G. Zumofen and J. Klafter
Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics 21 (1988)
DOI: 10.1007/978-94-009-3005-6_2
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Complex Systems — Operational Approaches in Neurobiology, Physics, and Computers

S. Grossmann
Springer Series in Synergetics, Complex Systems — Operational Approaches in Neurobiology, Physics, and Computers 31 342 (1985)
DOI: 10.1007/978-3-642-70795-7_26
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Optimal Structures in Heterogeneous Reaction Systems

G. Zumofen, A. Blumen and J. Klafter
Springer Series in Synergetics, Optimal Structures in Heterogeneous Reaction Systems 44 82 (1989)
DOI: 10.1007/978-3-642-83899-6_4
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Nonlinear Dynamics in Solids

T. Geisel
Nonlinear Dynamics in Solids 194 (1992)
DOI: 10.1007/978-3-642-95650-8_11
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Macroeconomic Relaxation: Adjustment Processes of Hierarchical Economic Structures

Michael C. Lovell and Masanao Aoki
SSRN Electronic Journal (2008)
DOI: 10.2139/ssrn.1726691
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Random Walks on Cayley Trees: Temperature-Induced Transience-Recurrence Transition, Small Exponents and Logarithmic Relaxation

P Sibani and K. H Hoffmann
Europhysics Letters (EPL) 4 (9) 967 (1987)
DOI: 10.1209/0295-5075/4/9/003
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Emergent Hierarchical Structures in Complex-System Dynamics

P Sibani, J. C Schön, P Salamon and J.-O Andersson
Europhysics Letters (EPL) 22 (7) 479 (1993)
DOI: 10.1209/0295-5075/22/7/001
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A Stochastic Approach to Enhanced Diffusion: Lévy Walks

A Blumen, J Klafter and G Zumofen
Europhysics Letters (EPL) 13 (3) 223 (1990)
DOI: 10.1209/0295-5075/13/3/006
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Intermittency, aging and extremal fluctuations

P Sibani and H. Jeldtoft Jensen
Europhysics Letters (EPL) 69 (4) 563 (2005)
DOI: 10.1209/epl/i2004-10376-1
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Diffusion and trapping on a nested fractal structure

F. Wegner and S. Grossmann
Zeitschrift für Physik B Condensed Matter 59 (2) 197 (1985)
DOI: 10.1007/BF01725538
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Record dynamics of evolving metastable systems: theory and applications

Paolo Sibani, Stefan Boettcher and Henrik Jeldtoft Jensen
The European Physical Journal B 94 (1) (2021)
DOI: 10.1140/epjb/s10051-020-00039-x
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