The random walk's guide to anomalous diffusion: a fractional dynamics approach

[1]  R. Kimmich.  NMR: Tomography, Diffusometry, Relaxometry , 2001 .

[2]  Rangarajan,et al.  Anomalous diffusion and the first passage time problem , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  J. Klafter,et al.  Subdiffusive transport close to thermal equilibrium: from the langevin equation to fractional diffusion , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  J. Klafter,et al.  Kramers' escape problem with anomalous kinetics: non-exponential decay of the survival probability , 2000 .

[5]  Ralf Metzler,et al.  Boundary value problems for fractional diffusion equations , 2000 .

[6]  A. Compte,et al.  Generalized Diffusion−Advection Schemes and Dispersive Sedimentation: A Fractional Approach† , 2000 .

[7]  J. Klafter,et al.  From a Generalized Chapman−Kolmogorov Equation to the Fractional Klein−Kramers Equation† , 2000 .

[8]  Quantum Lévy Propagators , 2000 .

[9]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[10]  R. Silbey,et al.  Fractional Kramers Equation , 2000, cond-mat/0002020.

[11]  Barkai,et al.  From continuous time random walks to the fractional fokker-planck equation , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Wolfgang P. Schleich,et al.  KEYHOLE LOOK AT LEVY FLIGHTS IN SUBRECOIL LASER COOLING , 1999 .

[13]  J. Klafter,et al.  Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[14]  R. Silbey,et al.  Distribution of single-molecule line widths , 1999 .

[15]  T F Nonnenmacher,et al.  Propagator representation of anomalous diffusion: the orientational structure factor formalism in NMR. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  J. Klafter,et al.  Drude approach to anomalous diffusion: Application to Richardson dispersion in turbulent flows , 1999 .

[17]  M. Möller,et al.  Field-cycling NMR relaxometry of polymers confined to artificial tubes: verification of the exponent 3/4 in the spin–lattice relaxation dispersion predicted by the reptation model , 1999 .

[18]  A. Compte,et al.  Stochastic foundation of normal and anomalous Cattaneo-type transport , 1999 .

[19]  M. Gruebele,et al.  Observation of strange kinetics in protein folding. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Ralf Metzler,et al.  Deriving fractional Fokker-Planck equations from a generalised master equation , 1999 .

[21]  J. Klafter,et al.  Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach , 1999 .

[22]  U. Landman,et al.  SLIP DIFFUSION AND LEVY FLIGHTS OF AN ADSORBED GOLD NANOCLUSTER , 1999 .

[23]  D. Benson,et al.  Multidimensional advection and fractional dispersion. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[24]  Evaluation of fractal parameters of percolation model objects and natural porous media by means of NMR microscopy , 1999 .

[25]  J. Klafter,et al.  Anomalous transport in disordered systems under the influence of external fields , 1999 .

[26]  Goldenfeld,et al.  Simple lessons from complexity , 1999, Science.

[27]  M. Tokuyama,et al.  Nonequilibrium statistical description of anomalous diffusion , 1999 .

[28]  Martin Möller,et al.  Segment diffusion in polymers confined in nanopores: A fringe-field NMR diffusometry study , 1999 .

[29]  Bernard Sapoval,et al.  Experimental study of a fractal acoustical cavity , 1999 .

[30]  Stephen Wolfram,et al.  The Mathematica book (4th edition) , 1999 .

[31]  D. Kusnezov,et al.  Quantum Levy Processes and Fractional Kinetics , 1999, chao-dyn/9901002.

[32]  Bruce J. West,et al.  Fractional Calculus and the Evolution of Fractal Phenomena , 1998, chao-dyn/9810030.

[33]  S. Jespersen,et al.  LEVY FLIGHTS IN EXTERNAL FORCE FIELDS : LANGEVIN AND FRACTIONAL FOKKER-PLANCK EQUATIONS AND THEIR SOLUTIONS , 1998, cond-mat/9810176.

[34]  Bruce J. West,et al.  Fractional calculus as a macroscopic manifestation of randomness , 1998, cond-mat/9809075.

[35]  Katarzyna Sznajd-Weron,et al.  Anomalous Diffusion From Basics to Applications , 1999 .

[36]  Bernard Sapoval,et al.  Observation of vibrational modes of irregular drums , 1998 .

[37]  Muhammad Sahimi,et al.  Non-linear and non-local transport processes in heterogeneous media: from long-range correlated percolation to fracture and materials breakdown , 1998 .

[38]  P. A. Robinson,et al.  LEVY RANDOM WALKS IN FINITE SYSTEMS , 1998 .

[39]  Albert Compte,et al.  Fractional Dynamics in Random Velocity Fields , 1998 .

[40]  P. Hänggi,et al.  Driven quantum tunneling , 1998 .

[41]  Martin Volk,et al.  Multiple time scales for dispersive kinetics in early events of peptide folding , 1998 .

[42]  Mark M. Meerschaert,et al.  Modeling river flows with heavy tails , 1998 .

[43]  Eli Barkai,et al.  Comment on “Subdiffusion and Anomalous Local Viscoelasticity in Actin Networks” , 1998 .

[44]  E. Barkai,et al.  Generalized Einstein relation: A stochastic modeling approach , 1998 .

[45]  Igor M. Sokolov,et al.  ANOMALOUS TRANSPORT IN EXTERNAL FIELDS : CONTINUOUS TIME RANDOM WALKS AND FRACTIONAL DIFFUSION EQUATIONS EXTENDED , 1998 .

[46]  Lisa Borland,et al.  Microscopic dynamics of the nonlinear Fokker-Planck equation: A phenomenological model , 1998 .

[47]  Ralf Metzler,et al.  FRACTIONAL DIFFUSION, WAITING-TIME DISTRIBUTIONS, AND CATTANEO-TYPE EQUATIONS , 1998 .

[48]  Brian Berkowitz,et al.  Theory of anomalous chemical transport in random fracture networks , 1998 .

[49]  P. Maass,et al.  Stochastic modelling of ion dynamics in complex systems: Dipolar effects , 1998 .

[50]  H. Swinney,et al.  Anomalous diffusion resulting from strongly asymmetric random walks , 1998 .

[51]  P. Blom,et al.  Dispersive hole transport in poly(p-phenylene vinylene) , 1998 .

[52]  Damián H. Zanette,et al.  Macroscopic current in fractional anomalous diffusion , 1998 .

[53]  Ryszard Kutner,et al.  Lévy flights with quenched noise amplitudes , 1998 .

[54]  A. Chaves,et al.  A fractional diffusion equation to describe Lévy flights , 1998 .

[55]  H. Fogedby.  Lévy flights in quenched random force fields , 1998, cond-mat/9801211.

[56]  K. M. Kolwankar,et al.  Local Fractional Fokker-Planck Equation , 1998, cond-mat/9801138.

[57]  A. Płonka.  Chapter 4. Dispersive Kinetics , 1998 .

[58]  Chaos, Kinetics and Nonlinear Dynamics in Fluids and Plasmas Proceedings of a Workshop Held in Carry-Le Rouet, France, 16–21 June 1997 , 1998 .

[59]  G. Vojta,et al.  Extended Irreversible Thermodynamics , 1998 .

[60]  Lévy walks and generalized stochastic collision models , 1997 .

[61]  Alexander I. Saichev,et al.  Fractional kinetic equations: solutions and applications. , 1997, Chaos.

[62]  A. Compte,et al.  The generalized Cattaneo equation for the description of anomalous transport processes , 1997 .

[63]  Jerzy Bodurka,et al.  Field-cycling nuclear magnetic resonance relaxometry of molecular dynamics at biological interfaces in eye lenses: The Lévy walk mechanism , 1997 .

[64]  Wolfgang P. Schleich,et al.  Scaling and asymptotic laws in subrecoil laser cooling , 1997 .

[65]  Igor M. Sokolov,et al.  PARADOXAL DIFFUSION IN CHEMICAL SPACE FOR NEAREST-NEIGHBOR WALKS OVER POLYMER CHAINS , 1997 .

[66]  Shlomo Havlin,et al.  Structural and dynamical properties of the percolation backbone in two and three dimensions , 1997 .

[67]  Biased continuous time random walks between parallel plates , 1997 .

[68]  Albert Compte.  CONTINUOUS TIME RANDOM WALKS ON MOVING FLUIDS , 1997 .

[69]  H.-P. Müller,et al.  NMR microscopy of pore-space backbones in rock, sponge, and sand in comparison with random percolation model objects , 1997 .

[70]  G. Weiss,et al.  INTERACTION WITH THE MATRIX : THE DOMINANT FACTOR IN MACROMOLECULAR BAND SPREADING IN GEL ELECTROPHORESIS , 1997 .

[71]  G. Zaslavsky,et al.  Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. , 1997, Chaos.

[72]  Ralf Metzler,et al.  Fractional diffusion: exact representations of spectral functions , 1997 .

[73]  K. Binder,et al.  Monte Carlo simulations of polymer dynamics: Recent advances , 1997 .

[74]  K. J. Packer,et al.  Predictions for pulsed-field–gradient NMR experiments of diffusion in fractal spaces , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[75]  Radu Balescu,et al.  Statistical dynamics: matter out of equilibrium , 1997 .

[76]  Bruce J. West,et al.  FRACTIONAL DIFFUSION AND LEVY STABLE PROCESSES , 1997 .

[77]  Y. Gliklikh.  The Langevin Equation , 1997 .

[78]  G. Fredrickson.  The theory of polymer dynamics , 1996 .

[79]  Maggs,et al.  Subdiffusion and Anomalous Local Viscoelasticity in Actin Networks. , 1996, Physical review letters.

[80]  E. Barkai,et al.  Dissipation and fluctuation for a randomly kicked particle: Normal and anomalous diffusion , 1996 .

[81]  K. Weron,et al.  On the Cole-Cole relaxation function and related Mittag-Leffler distribution , 1996 .

[82]  Kiran M. Kolwankar,et al.  Fractional differentiability of nowhere differentiable functions and dimensions. , 1996, Chaos.

[83]  F. Mainardi.  Fractional Relaxation-Oscillation and Fractional Diffusion-Wave Phenomena , 1996 .

[84]  A. Compte,et al.  Non-equilibrium thermodynamics and anomalous diffusion , 1996 .

[85]  E. Fischer,et al.  NMR field gradient diffusometry of segment displacements in melts of entangled polymers , 1996 .

[86]  P. A. Prince,et al.  Lévy flight search patterns of wandering albatrosses , 1996, Nature.

[87]  Michael C. Mackey,et al.  Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential , 1996 .

[88]  Wang,et al.  Non-Gaussian transport measurements and the Einstein relation in amorphous silicon. , 1996, Physical review letters.

[89]  Compte,et al.  Stochastic foundations of fractional dynamics. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[90]  M. Shlesinger,et al.  Beyond Brownian motion , 1996 .

[91]  A. El-Sayed,et al.  Fractional-order diffusion-wave equation , 1996 .

[92]  C. Tsallis,et al.  Anomalous diffusion in the presence of external forces: Exact time-dependent solutions and their thermostatistical basis. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[93]  Stephen Wolfram,et al.  The Mathematica Book , 1996 .

[94]  Stochastic processes with stable distributions in random environments. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[95]  R. Metzler,et al.  Generalized viscoelastic models: their fractional equations with solutions , 1995 .

[96]  FRACTALS AND VIBRATIONS: CAN YOU HEAR THE SHAPE OF A FRACTAL DRUM? , 1995 .

[97]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[98]  C. Tsallis,et al.  Statistical-mechanical foundation of the ubiquity of Lévy distributions in Nature. , 1995, Physical review letters.

[99]  D. Applebaum.  Stable non-Gaussian random processes , 1995, The Mathematical Gazette.

[100]  R. Metzler,et al.  Relaxation in filled polymers: A fractional calculus approach , 1995 .

[101]  Stapf,et al.  Proton and deuteron field-cycling NMR relaxometry of liquids in porous glasses: Evidence for Lévy-walk statistics. , 1995, Physical review letters.

[102]  Rudolf Hilfer,et al.  Fractional dynamics, irreversibility and ergodicity breaking , 1995 .

[103]  Michel L. Lapidus,et al.  The Riemann Hypothesis and Inverse Spectral Problems for Fractal Strings , 1995 .

[104]  Zanette,et al.  Thermodynamics of anomalous diffusion. , 1995, Physical review letters.

[105]  Structure of random fractals and the probability distribution of random walks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[106]  P. M. Lee,et al.  Random Walks and Random Environments: Volume 1: Random Walks , 1995 .

[107]  Balescu.  Anomalous transport in turbulent plasmas and continuous time random walks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[108]  J. Douglas.  Aspects and applications of the random walk , 1995 .

[109]  Zumofen,et al.  Absorbing boundary in one-dimensional anomalous transport. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[110]  O'Shaughnessy,et al.  Anomalous diffusion at liquid surfaces. , 1995, Physical review letters.

[111]  Rudolf Hilfer,et al.  EXACT SOLUTIONS FOR A CLASS OF FRACTAL TIME RANDOM WALKS , 1995 .

[112]  Zumofen,et al.  Laminar-localized-phase coexistence in dynamical systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[113]  Hilfer,et al.  Fractional master equations and fractal time random walks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[114]  Fractional diffusion equation for fractal-time-continuous-time random walks , 1995 .

[115]  T F Nonnenmacher,et al.  A fractional calculus approach to self-similar protein dynamics. , 1995, Biophysical journal.

[116]  R. Metzler,et al.  Fractional model equation for anomalous diffusion , 1994 .

[117]  Bruce J. West,et al.  Fractal physiology for physicists: Lévy statistics , 1994 .

[118]  W. Glöckle,et al.  Fractional relaxation and the time-temperature superposition principle , 1994 .

[119]  Joseph Klafter,et al.  Probability Distributions for Continuous-Time Random Walks with Long Tails , 1994 .

[120]  H. Roman,et al.  Continuous-time random walks and the fractional diffusion equation , 1994 .

[121]  Joseph Klafter,et al.  Spectral random walk of a single molecule , 1994 .

[122]  G. Zaslavsky.  Renormalization group theory of anomalous transport in systems with Hamiltonian chaos. , 1994, Chaos.

[123]  Fogedby.  Langevin equations for continuous time Lévy flights. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[124]  Correlation effects, generalized Brownian motion and anomalous diffusion , 1994 .

[125]  M. Vlad.  Fractional diffusion equation on fractals: Self-similar stationary solutions in a force field derived from a logarithmic potential , 1994 .

[126]  Fogedby.  Lévy flights in random environments. , 1994, Physical review letters.

[127]  W. Coffey.  Relaxation phenomena in condensed matter , 1994 .

[128]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[129]  Hilfer.  Classification theory for anequilibrium phase transitions. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[130]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[131]  Theo F. Nonnenmacher,et al.  Fox function representation of non-debye relaxation processes , 1993 .

[132]  R. Kimmich,et al.  Anomalous segment diffusion in polymers and NMR relaxation spectroscopy , 1993 .

[133]  J. Klafter,et al.  Scale-invariant motion in intermittent chaotic systems. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[134]  G. Lebon,et al.  Extended irreversible thermodynamics , 1993 .

[135]  Michel L. Lapidus,et al.  The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums , 1993 .

[136]  C. Friedrich.  Rheological material functions for associating comb-shaped or H-shaped polymers A fractional calculus approach , 1992 .

[137]  Guy Jumarie,et al.  A Fokker-Planck equation of fractional order with respect to time , 1992 .

[138]  M. Isichenko.  Percolation, statistical topography, and transport in random media , 1992 .

[139]  R. T. Sharp,et al.  Complete branching rules generating function for SO(7) contains/implies SU(2)3 and polynomial basis states , 1992 .

[140]  Robert Zwanzig,et al.  Dynamical disorder: Passage through a fluctuating bottleneck , 1992 .

[141]  R. Kimmich,et al.  Geometrical Restrictions of Incoherent Transport of Water by Diffusion in Protein of Silica Fineparticle Systems and by Flow in a Sponge. A Study of Anomalous Properties Using an NMR Field-Gradient Technique , 1992 .

[142]  Massimiliano Giona,et al.  Fractional diffusion equation for transport phenomena in random media , 1992 .

[143]  J. Klafter,et al.  Trapping aspects in enhanced diffusion , 1991 .

[144]  G. Zaslavsky,et al.  Channeling and percolation in two-dimensional chaotic dynamics. , 1991, Chaos.

[145]  T. Nonnenmacher,et al.  Fractional integral operators and Fox functions in the theory of viscoelasticity , 1991 .

[146]  J. Klafter,et al.  On the propagator of Sierpinski gaskets , 1991 .

[147]  Michael F. Shlesinger,et al.  Time‐Scale Invariance in Transport and Relaxation , 1991 .

[148]  J. Bouchaud,et al.  Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications , 1990 .

[149]  Ott,et al.  Anomalous diffusion in "living polymers": A genuine Levy flight? , 1990, Physical review letters.

[150]  M. Shlesinger,et al.  Lévy walk approach to anomalous diffusion , 1990 .

[151]  D. Ramkrishna,et al.  ANOMALOUS DIFFUSION: A DYNAMIC PERSPECTIVE , 1990 .

[152]  Hideki Takayasu,et al.  Fractals in the Physical Sciences , 1990 .

[153]  Blumen,et al.  Current flow under anomalous-diffusion conditions: Lévy walks. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[154]  Kenneth Falconer,et al.  Fractal Geometry: Mathematical Foundations and Applications , 1990 .

[155]  Georges,et al.  Comment on "Stochastic pathway to anomalous diffusion" , 1990, Physical review. A, Atomic, molecular, and optical physics.

[156]  Reply to "Comment on 'Stochastic pathway to anomalous diffusion' " , 1990, Physical review. A, Atomic, molecular, and optical physics.

[157]  Luciano Pietronero,et al.  FRACTALS IN PHYSICS , 1990 .

[158]  M. Shlesinger,et al.  Random walks in liquids , 1989 .

[159]  Alain Pumir,et al.  Anomalous diffusion of tracer in convection rolls , 1989 .

[160]  N. Tschoegl.  The Phenomenological Theory of Linear Viscoelastic Behavior , 1989 .

[161]  W. Schneider,et al.  Fractional diffusion and wave equations , 1989 .

[162]  P. McClintock,et al.  Noise in nonlinear dynamical systems. volume 1. theory of continuous Fokker-Planck systems. , 1989 .

[163]  Patrick Tabeling,et al.  Anomalous diffusion in a linear array of vortices , 1988 .

[164]  Theo Geisel,et al.  Chaotic diffusion and 1/f-noise of particles in two-dimensional solids , 1988 .

[165]  Angelo Vulpiani,et al.  Measures of Complexity , 1988 .

[166]  Peseckis.  Statistical dynamics of stable processes. , 1987, Physical review. A, General physics.

[167]  Joseph W. Haus,et al.  Diffusion in regular and disordered lattices , 1987 .

[168]  M. Shlesinger,et al.  Stochastic pathway to anomalous diffusion. , 1987, Physical review. A, General physics.

[169]  Bruce J. West,et al.  Lévy dynamics of enhanced diffusion: Application to turbulence. , 1987, Physical review letters.

[170]  T. R. Kirkpatrick,et al.  Relaxation Phenomena in Condensed Matter Physics , 1987 .

[171]  R. Nigmatullin.  The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry , 1986, January 1.

[172]  W. Wyss.  The fractional diffusion equation , 1986 .

[173]  R. Bagley,et al.  On the Fractional Calculus Model of Viscoelastic Behavior , 1986 .

[174]  J Klafter,et al.  On the relationship among three theories of relaxation in disordered systems. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[175]  I. Zschokke,et al.  Optical Spectroscopy of Glasses , 1986 .

[176]  A. Onuki.  Dynamics of Noninteger Derivative Models , 1985 .

[177]  V. Balakrishnan,et al.  Anomalous diffusion in one dimension , 1985 .

[178]  G. Weiss,et al.  Probability densities for the displacement of random walks on percolation clusters , 1985 .

[179]  Geisel,et al.  Accelerated diffusion in Josephson junctions and related chaotic systems. , 1985, Physical review letters.

[180]  I. Procaccia,et al.  Analytical solutions for diffusion on fractal objects. , 1985, Physical review letters.

[181]  M. Toda,et al.  In: Statistical physics II , 1985 .

[182]  R. Koeller.  Applications of Fractional Calculus to the Theory of Viscoelasticity , 1984 .

[183]  R. Guyer.  Diffusion on the Sierpiński gaskets: A random walker on a fractally structured object , 1984 .

[184]  George H. Weiss,et al.  A perturbation analysis of the Wilemski–Fixman approximation for diffusion‐controlled reactions , 1984 .

[185]  M. N. Marushin.  Limit Γ-distributions for sums of random variables, connected in an inhomogeneous Markov chain with two states , 1984 .

[186]  E. Montroll,et al.  On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation , 1984 .

[187]  Dan Monroe,et al.  Biochemistry, 2nd edition: by Frank B. Armstrong, Oxford University Press, 1983. £24.50 (xxv + 653 pages) ISBN 0 195 03109 1 (£9.95 paper back 0 198 55178 9) , 1983 .

[188]  R. Nossal.  Stochastic aspects of biological locomotion , 1983 .

[189]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[190]  Peter Hänggi,et al.  Stochastic processes: Time evolution, symmetries and linear response , 1982 .

[191]  Bruce J. West,et al.  Linear systems with Lévy fluctuations , 1982 .

[192]  Bruce J. West,et al.  Fractal dimensionality of Lévy processes. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[193]  Hari M. Srivastava,et al.  The H-functions of one and two variables, with applications , 1982 .

[194]  H. Srivastava,et al.  Special Functions in Queuing Theory and Related Stochastic Processes , 1982 .

[195]  NMR tomography , 1982, Nature.

[196]  J. Bernasconi,et al.  Excitation Dynamics in Random One-Dimensional Systems , 1981 .

[197]  N. Kampen,et al.  Stochastic processes in physics and chemistry , 1981 .

[198]  G. Matheron,et al.  Is transport in porous media always diffusive? A counterexample , 1980 .

[199]  J. Bernasconi,et al.  Diffusion and hopping conductivity in disordered one-dimensional lattice systems , 1980 .

[200]  Joseph Klafter,et al.  Derivation of the Continuous-Time Random-Walk Equation , 1980 .

[201]  P. Gennes.  Scaling Concepts in Polymer Physics , 1979 .

[202]  Kurt Bernardo Wolf,et al.  Integral transforms in science and engineering , 1979 .

[203]  G. Pfister,et al.  Dispersive (non-Gaussian) transient transport in disordered solids , 1978 .

[204]  V. M. Kenkre.  Generalization to spatially extended systems of the relation between stochastic Liouville equations and generalized master equations , 1978 .

[205]  Arak M. Mathai,et al.  The H-function with applications in statistics and other disciplines , 1978 .

[206]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[207]  George H. Weiss,et al.  Stochastic Processes in Chemical Physics: The Master Equation , 1977 .

[208]  H. Scher,et al.  Time-dependent electrical transport in amorphous solids: As 2 Se 3 , 1977 .

[209]  Molecular fluids = Fluides moléculaires : Cours de l'École d'été de physique théorique, Les Houches, août 1973 , 1976 .

[210]  G. Rosen.  The mathematical theory of diffusion and reaction in permeable catalysts , 1976 .

[211]  Sture Nordholm,et al.  A systematic derivation of exact generalized Brownian motion theory , 1975 .

[212]  E. Montroll,et al.  Anomalous transit-time dispersion in amorphous solids , 1975 .

[213]  B. Ross,et al.  Fractional Calculus and Its Applications , 1975 .

[214]  M. Shlesinger.  Asymptotic solutions of continuous-time random walks , 1974 .

[215]  J. Cole,et al.  Similarity methods for differential equations , 1974 .

[216]  Elliott W. Montroll,et al.  Random walks on lattices. IV. Continuous-time walks and influence of absorbing boundaries , 1973 .

[217]  V. M. Kenkre,et al.  Generalized master equations for continuous-time random walks , 1973 .

[218]  Masuo Suzuki.  Critical behavior of the stochastic spherical model , 1973 .

[219]  D. Bedeaux,et al.  On the Relation between Master Equations and Random Walks and Their Solutions , 1971 .

[220]  A. Tate.  Statistical dynamics , 1970 .

[221]  Graham Williams,et al.  Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function , 1970 .

[222]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.

[223]  Elliott W. Montroll,et al.  Random Walks on Lattices. III. Calculation of First‐Passage Times with Application to Exciton Trapping on Photosynthetic Units , 1969 .

[224]  K. Shuler,et al.  Stochastic processes in chemical physics , 1969 .

[225]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[226]  E. Müller,et al.  Rheologie in elementarer Darstellung , 1968 .

[227]  H. D. Miller,et al.  The Theory Of Stochastic Processes , 1977, The Mathematical Gazette.

[228]  Edward Nelson.  Dynamical Theories of Brownian Motion , 1967 .

[229]  C. Granger,et al.  The Random Character of Stock Market Prices. , 1965 .

[230]  B. Arnold,et al.  MOORE, . Some Characteristics of Changes in Common Stock Prices Cootner, ed. The Random Character of Stock Market Prices, pp. . Cambridge: The . , 1964 .

[231]  B. Braaksma,et al.  Asymptotic expansions and analytic continuations for a class of Barnes-integrals , 1964 .

[232]  P. Mazur,et al.  Non-equilibrium thermodynamics, , 1963 .

[233]  W. I. Smirnow, Lehrgang der Höheren Mathematik, Teil III, 2. 3. Aufl. XI + 599 S. m. 85 Abb. Berlin 1961. VEB Deutscher Verlag der Wissenschaften. Preis geb. DM 24,80 , 1962 .

[234]  C. Fox.  The $G$ and $H$ functions as symmetrical Fourier kernels , 1961 .

[235]  Albert Einstein,et al.  Investigations on the Theory of the Brownian Movement , 1928, The Mathematical Gazette.

[236]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[237]  P. Levy.  Théorie de l'addition des variables aléatoires , 1955 .

[238]  A. Erdélyi,et al.  Tables of integral transforms , 1955 .

[239]  N. Wax,et al.  Selected Papers on Noise and Stochastic Processes , 1955 .

[240]  R. Davies.  The Connection between the Smoluchowski Equation and the Kramers-Chandrasekhar Equation , 1954 .

[241]  B. Gnedenko,et al.  Limit distributions for sums of shrunken random variables , 1954 .

[242]  W. Feller.  An Introduction to Probability Theory and Its Applications , 1959 .

[243]  The volume flow of asphalt , 1950 .

[244]  G. Batchelor.  The application of the similarity theory of turbulence to atmospheric diffusion , 1950 .

[245]  Feller William,et al.  An Introduction To Probability Theory And Its Applications , 1950 .

[246]  P. Levy.  Processus stochastiques et mouvement brownien , 1948 .

[247]  L. Rosenhead.  Conduction of Heat in Solids , 1947, Nature.

[248]  G. Uhlenbeck,et al.  On the Theory of the Brownian Motion II , 1945 .

[249]  G. W. Blair.  A New Criterion for Expressing the ‘Intensity of Firmness’ of Soft Bodies , 1943, Nature.

[250]  S. Chandrasekhar.  Stochastic problems in Physics and Astronomy , 1943 .

[251]  K. Cole,et al.  Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics , 1941 .

[252]  H. Kramers.  Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .

[253]  N. Wiener.  The Homogeneous Chaos , 1938 .

[254]  203. An apparatus for measuring the elastic and plastic properties of cheese curd , 1938, Journal of Dairy Research.

[255]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[256]  Eugen Kappler,et al.  Versuche zur Messung der Avogadro-Loschmidtschen Zahl aus der Brownschen Bewegung einer Drehwaage , 1931 .

[257]  W. Eggers.  Über die Grenzen der Empfindlichkeit des Vakuum‐Duantenelektrometers , 1930 .

[258]  P. Levy,et al.  Calcul des Probabilites , 1926, The Mathematical Gazette.

[259]  L. Richardson,et al.  Atmospheric Diffusion Shown on a Distance-Neighbour Graph , 1926 .

[260]  ARTHUR SCHUSTER,et al.  Lord Rayleigh , 1926, Nature.

[261]  G. Pólya.  Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz , 1921 .

[262]  M. Planck.  Vorträge über die kinetische Theorie der Materie und der Elektrizität : gehalten in Göttingen auf Einladung der Kommission der Wolfskehlstiftung , 1914 .

[263]  A. D. Fokker.  Die mittlere Energie rotierender elektrischer Dipole im Strahlungsfeld , 1914 .

[264]  KARL PEARSON,et al.  The Problem of the Random Walk , 1905, Nature.

[265]  G. Mittag-Leffler,et al.  Sur la représentation analytique d’une branche uniforme d’une fonction monogène , 1901 .

[266]  L. Bachelier,et al.  Théorie de la spéculation , 1900 .

[267]  Svante Arrhenius,et al.  Über die Reaktionsgeschwindigkeit bei der Inversion von Rohrzucker durch Säuren , 1889 .

[268]  Robert Brown.  Mikroskopische Beobachtungen über die im Pollen der Pflanzen enthaltenen Partikeln, und über das allgemeine Vorkommen activer Molecüle in organischen und unorganischen Körpern , 1828 .