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WEYL INTEGRALS ON WEIGHTED SPACES
T. Kleiner and R. Hilfer
Fractional Calculus and Applied Analysis, 22, 1225-1248 (2019)
EXCESS WING PHYSICS AND NEARLY CONSTANT LOSS IN GLASSES
R. Hilfer
Journal of Statistical Mechanics, October 2019, 104007 (2019)
CONVOLUTION OPERATORS ON WEIGHTED SPACES OF CONTINUOUS FUNCTIONS
AND SUPREMAL CONVOLUTION

T. Kleiner and R. Hilfer
Annali di Matematica Pura ed Applicata, 198, published online (2019)
DESIDERATA FOR FRACTIONAL DERIVATIVES AND INTEGRALS
R. Hilfer and Yu. Luchko
Mathematics, 7, 149 (2019)
MATHEMATICAL AND PHYSICAL INTERPRETATIONS
OF FRACTIONAL DERIVATIVES AND INTEGRALS

R. Hilfer
Chapter 3 pp. 47-86 in:
Handbook of Fractional Calculus with Applications: Basic Theory, Volume1,
edited by: A. Kochubei and Yu. Luchko,

de Gruyter, Berlin, ISBN 978-3-11-057162-2, (2019)
MULTISCALE LOCAL POROSITY THEORY, WEAK LIMITS, AND DIELECTRIC RESPONSE IN COMPOSITE AND POROUS MEDIA
R. Hilfer
Journal of Mathematical Physics, 59, 103511 (2018)
ON LOCAL EQUILIBRIUM AND ERGODICITY
R.. Hilfer
Acta Physica Polonica B, 49, 859 (2018)
STABLE PROPAGATION OF SATURATION OVERSHOOTS FOR TWO-PHASE FLOW IN POROUS MEDIA
M. Schneider, T. Köppl, R. Helmig, R. Steinle and R. Hilfer
Transport in Porous Media, 121, (2018)
COMPOSITE CONTINUOUS TIME RANDOM WALKS
R.. Hilfer
The European Physical Journal B, 90, 233 (2017)
GROUND STATE COLLAPSE AT STRONG COUPLING
R.. Hilfer
MESA, 8, 307-310 (2017)
HYSTERESIS IN RELATIVE PERMEABILITIES SUFFICES FOR PROPAGATION OF SATURATION OVERSHOOT: A QUANTITATIVE COMPARISON WITH EXPERIMENT
R. Steinle and R. Hilfer
Physical Review E, 95, 043112 (2017)
MATHEMATICAL ANALYSIS OF TIME FLOW
R.. Hilfer
Analysis, 36, 49-64 (2016)
INFLUENCE OF INITIAL CONDITIONS ON PROPAGATION, GROWTH AND DECAY OF SATURATION OVERSHOOT
R. Steinle and R. Hilfer
Transport in Porous Media, 111, 369-380 (2016)
NON-MONOTONIC TRAVELLING WAVE FRONTS IN A SYSTEM OF FRACTIONAL FLOW EQUATIONS FROM POROUS MEDIA
O. Honig, P. A. Zegeling, F. Doster and R. Hilfer
Transport in Porous Media, DOI 10.1007/s11242-015-0618-2, pp 1-32 (2016)
CAPILLARY SATURATION AND DESATURATION
R. Hilfer, R.T. Armstrong, S. Berg, A. Georgiadis and H. Ott
Physical Review E, 92, 063023 (2015)
DIFFERENTIAL POROSIMETRY AND PERMEAMETRY FOR RANDOM POROUS MEDIA
R. Hilfer and A. Lemmer
Physical Review E, 92, 013305, (2015)
TIME AUTOMORPHISMS ON C*-ALGEBRAS
R. Hilfer
Mathematics 3, 626 (2015)
EXPERIMENTAL IMPLICATIONS OF BOCHNER-LEVY-RIESZ DIFFUSION
R. Hilfer
Fractional Calculus and Applied Analysis 18, 1 (2015)
PARALLEL DOMAIN DECOMPOSITION METHOD WITH NON-BLOCKING COMMUNICATION FOR FLOW THROUGH POROUS MEDIA
A. Lemmer and R. Hilfer
Journal of Computational Physics, 281, 970-981, (2015)
SATURATION OVERSHOOT AND HYSTERESIS FOR TWOPHASE FLOW IN POROUS MEDIA
R. Hilfer and R. Steinle
Eur.Phys.J.ST, 223, 2323-2338, 2014
A COMPARISON BETWEEN SIMULATION AND EXPERIMENT FOR HYSTERETIC PHENOMENA DURING TWO PHASE IMMISCIBLE DISPLACEMENT
F. Doster and R. Hilfer
Water Resources Research, 50, 681-686, 2014
EXCESS WINGS IN BROADBAND DIELECTRIC SPECTROSCOPY
S. Candelaresi and R. Hilfer
In: AIP Conf. Proc.1637 1283-1290, 2014
TRAVELLING WAVE SOLUTIONS IN A GENERALIZED THEORY FOR MACROSCOPIC CAPILLARITY
O. Honig, F. Doster and R. Hilfer
Transport in Porous Media, 99, 467, 2013
HORIZONTAL FLOWS AND CAPILLARITY DRIVEN REDISTRIBUTION
F. Doster, O. Honig and R. Hilfer
Phys.Rev.E, 86, 016317, 2012
NONMONOTONE SATURATION PROFILES FOR HYDROSTATIC EQUILIBRIUM IN HOMOGENEOUS MEDIA
R. Hilfer, F. Doster and P. Zegeling
Vadose Zone Journal, 11, vzj2012.0021, 2012
APPLICATIONS AND IMPLICATIONS OF FRACTIONAL DYNAMICS FOR DIELECTRIC RELAXATION
R. Hilfer
In: Recent Advances in Broadband Dielectric Spectroscopy , edited by: Y. Kalmykov
Springer, 123, 2012
CONTINUUM-BASED ROCK MODEL OF A RESERVOIR DOLOSTONE WITH FOUR ORDERS OF MAGNITUDE IN PORE SIZES
S. Roth, B. Biswal, G. Afshar, R. Held, P. \Oren, L. Berge and R. Hilfer
AAPG Bulletin, 95, 925, 2011
FOUNDATIONS OF FRACTIONAL DYNAMICS: A SHORT ACCOUNT
R. Hilfer
In: Fractional Dynamics: Recent Advances , edited by: J. Klafter and S. Lim and R. Metzler
World Scientific, 207, 2011
HIGH PRECISION SYNTHETIC COMPUTED TOMOGRAPHY OF RECONSTRUCTED POROUS MEDIA
R. Hilfer and T. Zauner
Phys.Rev.E, 84, 062301, 2011
GENERALIZED BUCKLEY-LEVERETT THEORY FOR TWO PHASE FLOW IN POROUS MEDIA
F. Doster and R. Hilfer
New Journal of Physics, 13, 123030, 2011
PERCOLATION AS A BASIC CONCEPT FOR MACROSCOPIC CAPILLARITY
R. Hilfer and F. Doster
Transport in Porous Media, 82, 507, 2010
CONTINUUM RECONSTRUCTION OF THE PORE SCALE MICROSTRUCTURE FOR FONTAINBLEAU SANDSTONE
F. Latief, B. Biswal, U. Fauzi and R. Hilfer
Physica A, 389, 1607, 2010
NUMERICAL SOLUTIONS OF A GENERALIZED THEORY FOR MACROSCOPIC CAPILLARITY
F. Doster, P. Zegeling and R. Hilfer
Physical Review E, 81, 036307, 2010
QUANTITATIVE ANALYSIS OF NUMERICAL ESTIMATES FOR THE PERMEABILITY OF POROUS MEDIA FROM LATTICE-BOLTZMANN SIMULATIONS
A. Narvaez, Th. Zauner, F. Raischel, R. Hilfer and J. Harting
Journal of Statistical Mechanics, , P11026, 2010
FRACTIONAL AND OPERATIONAL CALCULUS WITH GENERALIZED FRACTIONAL DERIVATIVE OPERATORS AND MITTAG-LEFFLER TYPE FUNCTIONS
Z. Tomovski, R. Hilfer and H.M. Srivastava
Integral Transforms and Special Functions, 21, 797, 2010
PARTICLE-BASED RENDERING FOR POROUS MEDIA
S. Grottel, G. Reina, T. Zauner, R. Hilfer and T. Ertl
In: Proceedings of SIGRAD 2010: Content aggregation and visualization , edited by: K. Jää-Aro and T. Larsson
Linköping University Electronic Press, 45, 2010
NUMERICAL MODELING OF FLUID FLOW IN POROUS MEDIA AND IN DRIVEN COLLOIDAL SUSPENSIONS
J. Harting, T. Zauner, R. Weeber and R. Hilfer
In: High Performance Computing in Science and Engineering '08 , edited by: W. Nagel and D. Kröner and M. Resch
Springer, 349, 2009
MODELING AND SIMULATION OF MACROCAPILLARITY
R. Hilfer
In: CP1091, Modeling and Simulation of Materials, edited by: P. Garrido and P. Hurtado and J. Marro
American Institute of Physics, 141, 2009
MODELING OF MULTISCALE POROUS MEDIA
B. Biswal, P.E. \Oren, R.J. Held, S. Bakke and R. Hilfer
Image Analysis and Stereology, 28, 23-34, 2009
OPERATIONAL METHOD FOR THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
R. Hilfer, Y. Luchko and Z. Tomovski
Fractional Calculus and Applied Analysis, 12, 299, 2009
TOWARDS PRECISE PREDICTION OF TRANSPORT PROPERTIES FROM SYNTHETIC COMPUTER TOMOGRAPHY OF RECONSTRUCTED POROUS MEDIA
B. Biswal, R.J. Held, V. Khanna, J. Wang and R. Hilfer
Physical Review E, 80, 041301, 2009
DIMENSIONAL ANALYSIS OF TWO-PHASE FLOW INCLUDING A RATE-DEPENDENT CAPILLARY PRESSURE-SATURATION RELATIONSHIP
S. Manthey, M. Hassanizadeh, R. Helmig and R. Hilfer
Adv. Water Res., 31, 1137, 2008
THREEFOLD INTRODUCTION TO FRACTIONAL DERIVATIVES
R. Hilfer
In: Anomalous Transport: Foundations and Applications , edited by: R. Klages and G. Radons and I. Sokolov
Wiley-VCH, 17-74, 2008
NUMERICAL ALGORITHM FOR CALCULATING THE GENERALIZED MITTAG-LEFFLER FUNCTION
H.J. Seybold and R. Hilfer
SIAM J. Numer. Anal., 47, 69, 2008
STOCHASTIC MULTISCALE MODEL FOR CARBONATE ROCKS
B. Biswal, P.E. \Oren, R. Held, S. Bakke and R. Hilfer
Phys.Rev.E, 75, 061303, 2007
COMPUTATION OF THE GENERALIZED MITTAG-LEFFLER FUNCTION AND ITS INVERSE IN THE COMPLEX PLANE
R. Hilfer and H.J. Seybold
Integral Transforms and Special Functions, 17, 637, 2006
CAPILLARY PRESSURE, HYSTERESIS AND RESIDUAL SATURATION IN POROUS MEDIA
R. Hilfer
Physica A, 359, 119, 2006
MODELING INFILTRATION BY MEANS OF A NONLINEAR FRACTIONAL DIFFUSION MODEL
E. Gerolymatou, I. Vardoulakis and R. Hilfer
J.Phys.D, 39, 4104, 2006
MACROSCOPIC CAPILLARITY AND HYSTERESIS FOR FLOW IN POROUS MEDIA
R. Hilfer
Phys.Rev.E, 73, 016307, 2006
MACROSCOPIC CAPILLARITY WITHOUT A CONSTITUTIVE CAPILLARY PRESSURE FUNCTION
R. Hilfer
Physica A, 371, 209, 2006
NUMERICAL RESULTS FOR THE GENERALIZED MITTAG-LEFFLER FUNCTION
H.J. Seybold and R. Hilfer
Fractional Calculus and Applied Analysis, 8, 127, 2005
MULTICANONICAL SIMULATIONS OF THE TAILS OF THE ORDER-PARAMETER DISTRIBUTION OF THE TWO-DIMENSIONAL ISING MODEL
R. Hilfer, B. Biswal, H.G. Mattutis and W. Janke
Computer Physics Commm., 169, 230, 2005
SIMULATING THE SATURATION FRONT USING A FRACTIONAL DIFFUSION MODEL
E. Gerolymatou, I. Vardoulakis and R. Hilfer
In: Proceedings of the GRACM05 International Congress on Computational Mechanics, Limassol 2005 , edited by: G. Georgiou, P. Papanastasiou, M. Papadrakakis
GRACM, 653, 2005
DIMENSIONAL ANALYSIS AND UPSCALING OF TWO-PHASE FLOW IN POROUS MEDIA WITH PIECEWISE CONSTANT HETEROGENEITIES
R. Hilfer and R. Helmig
Adv. Water Res., 27, 1033, 2004
CHARACTERIZATION OF POROUS MEDIA BY LOCAL POROSITIES, MINKOWSKI- AND NON-MINKOWSKI FUNCTIONALS
R. Hilfer
Microsc. Microanal., 10, 72, 2004
ON FRACTIONAL RELAXATION
R. Hilfer
Fractals, 11, 251, 2003
QUANTITATIVE COMPARISON OF MEANFIELD MIXING LAWS FOR CONDUCTIVITY AND DIELECTRIC CONSTANT OF POROUS MEDIA
R. Hilfer, J. Widjajakusuma and B. Biswal
Physica A, 318, 319, 2003
THERMODYNAMIC POTENTIALS FOR THE INFINITE RANGE ISING MODEL WITH STRONG COUPLING
R. Hilfer
Physica A, 320, 429, 2003
REMARKS ON FRACTIONAL TIME
R. Hilfer
In: Time, Quantum and Information , edited by: L. Castell and O. Ischebeck
Springer, 235, 2003
ON FRACTIONAL DIFFUSION AND CONTINUOUS TIME RANDOM WALKS
R. Hilfer
Physica A, 329, 35, 2003
MULTICANONICAL MONTE-CARLO STUDY AND ANALYSIS OF TAILS FOR THE ORDER-PARAMETER DISTRIBUTION OF THE TWO-DIMENSIONAL ISING MODEL
R. Hilfer, B. Biswal, H.G. Mattutis and W. Janke
Phys.Rev.E, 68, 046123, 2003
REVIEW ON SCALE DEPENDENT CHARACTERIZATION OF THE MICROSTRUCTURE OF POROUS MEDIA
R. Hilfer
Transport in Porous Media, 46, 373, 2002
ANALYTICAL REPRESENTATIONS FOR RELAXATION FUNCTIONS OF GLASSES
R. Hilfer
J. Noncryst. Solids, 305, 122, 2002
$H$-FUNCTION REPRESENTATIONS FOR STRETCHED EXPONENTIAL RELAXATION AND NON-DEBYE SUSCEPTIBILITIES IN GLASSY SYSTEMS
R. Hilfer
Phys.Rev.E, 65, 061510, 2002
PHYSIK AUF DEM COMPUTER
R. Hilfer
Netzveröffentlichung, Stuttgart, 2002
FITTING THE EXCESS WING IN THE DIELECTRIC $\ALPHA$-RELAXATION OF PROPYLENE CARBONATE
R. Hilfer
J.Phys.: Condens. Matter, 14, 2297, 2002
LATTICE-BOLTZMANN AND FINITE-DIFFERENCE SIMULATIONS FOR THE PERMEABILITY OF THREE-DIMENSIONAL POROUS MEDIA
C. Manwart, U. Aaltosalmi, A. Koponen, R. Hilfer and J. Timonen
Phys.Rev.E, 66, 016702, 2002
EXPERIMENTAL EVIDENCE FOR FRACTIONAL TIME EVOLUTION IN GLASS FORMING MATERIALS
R. Hilfer
Chem.Phys., 284, 399, 2002
STRANGE KINETICS
R. Hilfer, R. Metzler, A. Blumen and J. Klafter(eds)
Chemical Physics, 284, , 2002
NUMERICAL SIMULATION OF CREEPING FLUID FLOW IN RECONSTRUCTION MODELS OF POROUS MEDIA
R. Hilfer and C. Manwart
Physica A, 314, 706, 2002
ON FRACTIONAL RELAXATION
R. Hilfer
In: Scaling and Disordered Systems , edited by: F. Family and M. Daoud and H. Herrmann and H.E. Stanley
World Scientific, 251, 2002
ON THE ANALYSIS OF SPATIAL BINARY IMAGES
C. Lang, J. Ohser and R. Hilfer
Journal of Microscopy, 203, 303, 2001
EFFECTIVE PHYSICAL PROPERTIES OF SANDSTONES
J. Widjajakusuma and R. Hilfer
In: IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials , edited by: W. Ehlers
Kluwer, 113, 2001
PERMEABILITY AND CONDUCTIVITY FOR RECONSTRUCTION MODELS OF POROUS MEDIA
R. Hilfer and C. Manwart
Phys.Rev.E, 64, 21304, 2001
APPLICATIONS OF FRACTIONAL CALCULUS IN PHYSICS
R. Hilfer
World Scientific Publ. Co., Singapore, 2000
OLD PROBLEMS AND NEW SOLUTIONS FOR MULTIPHASE FLOW IN POROUS MEDIA
R. Hilfer and H. Besserer
In: Porous Media: Physics, Mo\-dels, Simulation , edited by: A. Dmitrievsky and M. Panfilov
World Scientific Publ. Co., 133, 2000
MACROSCOPIC TWO PHASE FLOW IN POROUS MEDIA
R. Hilfer and H. Besserer
Physica B, 279, 125, 2000
FRACTIONAL TIME EVOLUTION
R. Hilfer
In: Applications of Fractional Calculus in Physics , edited by: R. Hilfer
World Scientific, 87, 2000
FRACTIONAL CALCULUS AND REGULAR VARIATION IN THERMODYNAMICS
R. Hilfer
In: Applications of Fractional Calculus in Physics , edited by: R. Hilfer
World Scientific, 429, 2000
FRACTIONAL EVOLUTION EQUATIONS AND IRREVERSIBILITY
R. Hilfer
In: Traffic and Granular Flow'99 , edited by: D. Helbing and H. Herrmann and M. Schreckenberg and D. Wolf
Springer, 215, 2000
LOCAL POROSITY THEORY AND STOCHASTIC RECONSTRUCTION FOR POROUS MEDIA
R. Hilfer
In: Räumliche Statistik und Statistische Physik , edited by: D. Stoyan and K. Mecke
Springer, 203, 2000
FRACTIONAL DIFFUSION BASED ON RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
R. Hilfer
J.Phys.Chem.B, 104, 3914, 2000
EROSION-DILATION ANALYSIS FOR EXPERIMENTAL AND SYNTHETIC MICROSTRUCTURES OF SEDIMENTARY ROCK
A. Tscheschel, D. Stoyan and R. Hilfer
Physica A, 284, 46, 2000
STOCHASTIC RECONSTRUCTION OF SANDSTONES
C. Manwart, S. Torquato and R. Hilfer
Phys.Rev.E, 62, 893, 2000
ON FRACTIONAL DIFFUSION AND ITS RELATION WITH CONTINUOUS TIME RANDOM WALKS
R. Hilfer
In: Anomalous Diffusion: From Basis to Applications , edited by: R. Kutner, A. Pekalski and K. Sznajd-Weron
Springer, 77, 1999
MICROSTRUCTURE ANALYSIS OF RECONSTRUCTED POROUS MEDIA
B. Biswal and R. Hilfer
Physica A, 266, 307, 1999
TRAPPING AND MOBILIZATION OF RESIDUAL FLUID DURING CAPILLARY DESATURATION IN POROUS MEDIA
L. Anton and R. Hilfer
Physical Review E, 59, 6819, 1999
RECONSTRUCTION OF RANDOM MEDIA USING MONTE CARLO METHODS
C. Manwart and R. Hilfer
Physical Review E, 59, 5596, 1999
QUANTITATIVE PREDICTION OF EFFECTIVE MATERIAL PROPERTIES OF HETEROGENEOUS MEDIA
J. Widjajakusuma, B. Biswal and R. Hilfer
Comp. Mat. Sci., 16, 70, 1999
EXACT AND APPROXIMATE CALCULATIONS FOR CONDUCTIVITY OF SANDSTONES
J. Widjajakusuma, C. Manwart, B. Biswal and R. Hilfer
Physica A, 270, 325, 1999
MACROSCOPIC DIELECTRIC CONSTANT FOR MICROSTRUCTURES OF SEDIMENTARY ROCKS
R. Hilfer, J. Widjajakusuma and B. Biswal
Granular Matter, 2, 137, 1999
QUANTITATIVE ANALYSIS OF EXPERIMENTAL AND SYNTHETIC MICROSTRUCTURES FOR SEDIMENTARY ROCK
B. Biswal, C. Manwart, R. Hilfer, S. Bakke and P.E. \Oren
Physica A, 273, 452, 1999
THREEDIMENSIONAL LOCAL POROSITY ANALYSIS OF POROUS MEDIA
B. Biswal, C. Manwart and R. Hilfer
Physica A, 255, 221, 1998
MACROSCOPIC EQUATIONS OF MOTION FOR TWO PHASE FLOW IN POROUS MEDIA
R. Hilfer
Physical Review E, 58, 2090, 1998
PROBABILISTIC METHODS, UPSCALING AND FRACTAL STATISTICS IN POROUS MEDIA
R. Hilfer
Z. Blatt f. Geol. Paläont., Teil I, 11/12, 1035, 1997
LOCAL PERCOLATION PROBABILITIES FOR A NATURAL SANDSTONE
R. Hilfer, T. Rage and B. Virgin
Physica A, 241, 105, 1997
LOCAL ENTROPY CHARACTERIZATION OF CORRELATED RANDOM MICROSTRUCTURES
C. Andraud, A. Beghdadi, E. Haslund, R. Hilfer, J. Lafait and B. Virgin
Physica A, 235, 307, 1997
STATISTICAL PREDICTION OF CORROSION FRONT PENETRATION
T. Johnsen and R. Hilfer
Phys.Rev. E, 55, 5433, 1997
FRACTIONAL DERIVATIVES IN STATIC AND DYNAMIC SCALING
R. Hilfer
In: Scale Invariance and Beyond , edited by: B. Dubrulle and F. Graner and D. Sornette
Springer, 53, 1997
DIMENSIONAL ANALYSIS OF PORE SCALE AND FIELD SCALE IMMISCIBLE DISPLACEMENT
R. Hilfer and P.E. \Oren
Transport in Porous Media, 22, 53, 1996
TRANSPORT AND RELAXATION PHENOMENA IN POROUS MEDIA
R. Hilfer
Advances in Chemical Physics, XCII, 299, 1996
LOCAL POROSITY THEORY FOR THE TRANSITION FROM MICROSCALES TO MACROSCALES IN POROUS MEDIA
R. Hilfer, B. Virgin and T. Rage
ERCOFTAC Bull., 28, 6, 1996
RESCALING RELATIONS BETWEEN TWO- AND THREE DIMENSIONAL LOCAL POROSITY DISTRIBUTIONS FOR NATURAL AND ARTIFICIAL POROUS MEDIA
B. Virgin, E. Haslund and R. Hilfer
Physica A, 232, 1, 1996
CONTINUUM MONTE CARLO SIMULATION AT CONSTANT PRESSURE OF STIFF CHAIN MOLECULES AT SURFACES
F. M. Haas and R. Hilfer
J.Chem.Phys., 105, 3859, 1996
PHASE TRANSITIONS IN DENSE LIPID MONOLAYERS GRAFTED TO A SURFACE: MONTE CARLO INVESTIGATION OF A COARSE-GRAINED OFF-LATTICE MODEL
F. M. Haas, R. Hilfer and K. Binder
J.Phys.Chem., 37, 15290, 1996
ARE CRITICAL FINITE SIZE SCALING FUNCTIONS CALCULABLE FROM KNOWLEDGE OF AN APPROPRIATE CRITICAL EXPONENT ?
R. Hilfer and N.B.Wilding
J. Phys. A: Math. Gen., 28, L281, 1995
LAYERS OF SEMIFLEXIBLE CHAIN MOLECULES ENDGRAFTED AT INTERFACES: AN OFF-LATTICE MONTE CARLO SIMULATION
F.M. Haas, R. Hilfer and K. Binder
J. Chem. Phys, 102, 2960, 1995
FRACTIONAL MASTER EQUATIONS AND FRACTAL TIME RANDOM WALKS
R. Hilfer and L. Anton
Phys.Rev.E, Rapid Commun., 51, R848, 1995
EXACT SOLUTIONS FOR A CLASS OF FRACTAL TIME RANDOM WALKS
R. Hilfer
Fractals, 3(1), 211, 1995
FRACTIONAL DYNAMICS, IRREVERSIBILITY AND ERGODICITY BREAKING
R. Hilfer
Chaos, Solitons {\&} Fractals, 5, 1475, 1995
FOUNDATIONS OF FRACTIONAL DYNAMICS
R. Hilfer
Fractals, 3, 549, 1995
AN EXTENSION OF THE DYNAMICAL FOUNDATION FOR THE STATISTICAL EQUILIBRIUM CONCEPT
R. Hilfer
Physica A, 221, 89, 1995
ON A NEW CLASS OF PHASE TRANSITIONS
R. Hilfer
In: Random Magnetism and High-Temperature Superconductivity , edited by: W.P. Beyermann and N.L. Huang-Liu and D.E. MacLaughlin
World Scientific Publ. Co., 85, 1994
LOCAL POROSITY THEORY FOR THE FREQUENCY DEPENDENT DIELECTRIC FUNCTION OF POROUS ROCKS AND POLYMER BLENDS
R. Hilfer, B.Nøst , E.Haslund, Th.Kautzsch, B.Virgin and B.D.Hansen
Physica A, 207, 19, 1994
ABSENCE OF HYPERSCALING VIOLATIONS FOR PHASE TRANSITIONS WITH POSITIVE SPECIFIC HEAT EXPONENT
R. Hilfer
Z. Physik B, 96, 63, 1994
MEASUREMENT OF LOCAL POROSITIES AND DIELECTRIC DISPERSION FOR A WATER SATURATED POROUS MEDIUM
E. Haslund, B.D. Hansen, R. Hilfer and B. Nøst
J. Appl. Phys., 76, 5473, 1994
CONTINUUM MONTE-CARLO SIMULATIONS OF PHASE TRANSITIONS IN RODLIKE MOLECULES AT SURFACES
R. Hilfer, F.M. Haas and K. Binder
Il Nuovo Cimento, 16D, 1297, 1994
MODELING OF ORIENTATIONAL ORDERING IN LIPID MONOLAYERS
M.Kreer, M.Scheringer, K.Binder, K.Kremer and R.Hilfer
In: Computer Simulation Studies in Condensed Matter Physics IV , edited by: D.P. Landau and K.K. Mon and H.B. Schüttler
Springer Verlag, 159, 1993
LOCAL POROSITY THEORY FOR ELECTRICAL AND HYDRODYNAMICAL TRANSPORT THROUGH POROUS MEDIA
R. Hilfer
Physica A, 194, 406, 1993
DIELECTRIC DISPERSION MEASUREMENTS OF SALT WATER SATURATED POROUS GLASS COMPARED WITH LOCAL POROSITY THEORY
B.D. Hansen, E. Haslund, R. Hilfer and B. Nøst
Mater.Res.Soc.Proc., 290, 185, 1993
CLASSIFICATION THEORY FOR PHASE TRANSITIONS
R. Hilfer
Int.J.Mod.Phys.B, 7, 4371, 1993
CLASSIFICATION THEORY FOR ANEQUILIBRIUM PHASE TRANSITIONS
R. Hilfer
Phys. Rev. E, 48, 2466, 1993
LOCAL POROSITY THEORY FOR FLOW IN POROUS MEDIA
R. Hilfer
Phys. Rev. B, 45, 7115, 1992
GEOMETRY, DIELECTRIC RESPONSE AND SCALING IN POROUS MEDIA
R. Hilfer
Physica Scripta, T44, 51, 1992
ORIENTATIONAL ORDERING IN LIPID MONOLAYERS: A TWO-DIMENSIONAL MODEL OF RIGID RODS GRAFTED ONTO A LATTICE
M. Scheringer, R. Hilfer and K. Binder
J.Chem.Phys., 96, 2269, 1992
MULTISCALING AND THE CLASSIFICATION OF CONTINUOUS PHASE TRANSITIONS
R. Hilfer
Phys. Rev. Lett., 68, 190, 1992
GRAIN SIZE DISTRIBUTION FOR COMPETITIVE GROWTH WITH NUCLEATION
R. Hilfer and P. Meakin
Z. Phys. B, 88, 223, 1992
MICROSTRUCTURAL SENSITIVITY OF LOCAL POROSITY DISTRIBUTIONS
F. Boger, J. Feder, R. Hilfer and T. Jøssang
Physica A, 187, 55, 1992
SCALING THEORY AND THE CLASSIFICATION OF PHASE TRANSITIONS
R. Hilfer
Mod. Phys. Lett. B, 6, 773, 1992
FREQUENCY DEPENDENT RESPONSE AND DYNAMIC DISORDER
R. Hilfer
J. Noncrystalline Solids, 131--133, 213, 1991
CORRELATED HOPPING IN A DISORDERED MEDIUM
R. Hilfer
Phys.Rev.B, 44, 628, 1991
RANDOM WALKS WITH SHORT MEMORY IN A DISORDERED ENVIRONMENT
R. Hilfer
Phys.Rev.B, 44, 638, 1991
GEOMETRIC AND DIELECTRIC CHARACTERIZATION OF POROUS MEDIA
R. Hilfer
Phys. Rev. B, 44, 60, 1991
ANALYSIS OF MULTILAYER ADSORPTION MODELS WITHOUT SCREENING
R. Hilfer and J.-S. Wang
J.Phys.A:Math.Gen., 24, L389, 1991
THERMODYNAMIC SCALING DERIVED VIA ANALYTIC CONTINUATION FROM THE CLASSIFICATION OF EHRENFEST
R. Hilfer
Physica Scripta, 44, 321, 1991
CORRELATION EFFECTS ON HOPPING TRANSPORT IN A DISORDERED MEDIUM
R. Hilfer
In: Dynamical Processes in Condensed Molecular Systems , edited by: A. Blumen and J. Klafter and D. Haarer
World Scientific Publ.Co., 302, 1990
CORRELATED RANDOM WALKS IN DYNAMICALLY DISORDERED SYSTEMS
R. Hilfer and R. Orbach
In: Dynamical Processes in Condensed Molecular Systems , edited by: J. Klafter and J. Jortner and A. Blumen
World Scientific Publ.Co., 175, 1989
THEORETICAL ASPECTS OF REALISTIC SPIN GLASS MODELS
R. Hilfer
In: New Trends in Magnetism , edited by: M.D. Coutinho-Filho and S.M. Rezende
World Scientific Publ.Co., 32, 1989
PROBABILISTIC INTERPRETATION OF THE EINSTEIN RELATION
R. Hilfer and A. Blumen
Phys.Rev.A, 37, 578, 1988
PHASE SEPARATION BY COUPLED SINGLE-CRYSTAL GROWTH AND POLYCRYSTALLINE FINGERING IN AL/GE: THEORY
S. Alexander, R. Bruinsma, R. Hilfer, G. Deutscher and Y. Lereah
Phys.Rev.Lett., 60, 1514, 1988
CONTINUOUS TIME RANDOM WALK APPROACH TO DYNAMIC PERCOLATION
R. Hilfer and R. Orbach
Chem.Phys., 128, 275, 1988
PATTERN FORMATION AT LIQUID INTERFACES
B. Heidel, C. Knobler, R. Hilfer and R. Bruinsma
Phys.Rev.Lett., 60, 2492, 1988
THEORETICAL ASPECTS OF POLYCRYSTALLINE PATTERN GROWTH IN AL/GE FILMS
R. Hilfer
In: Fluctuation Phenomena and Pattern Growth , edited by: H.E. Stanley and N. Ostrowsky
Kluwer Academic Publishing, 127, 1988
FLUCTUATION-DISSIPATION ON FRACTALS: A PROBABILISTIC APPROACH
R. Hilfer and A. Blumen
In: Time Dependent Effects in Disordered Materials , edited by: R.Pynn and T. Riste
Plenum Press, 217, 1987
ON DENSE BRANCHING PHASE SEPARATION
R. Hilfer, S. Alexander and R. Bruinsma
In: Time Dependent Effects in Disordered Materials , edited by: R.Pynn and T. Riste
Plenum Press, 417, 1987
RENORMIERUNGSANSÄTZE IN DER THEORIE UNGEORDNETER SYSTEME
R. Hilfer
Verlag Harri Deutsch, Frankfurt, 1986
ON FINITELY RAMIFIED FRACTALS
R. Hilfer and A. Blumen
In: Fractals in Physics , edited by: L. Pietronero and E. Tosatti
Elsevier Publishing Co., 33, 1986
STOCHASTISCHE MODELLE FÜR DIE BETRIEBLICHE PLANUNG
R. Hilfer
GBI -- Verlag, München, 1985
RENORMALIZATION OF SIERPINSKI-TYPE FRACTALS
R. Hilfer and A. Blumen
J.Phys.A: Math. Gen., 17, L573, 1984
RENORMALIZATION OF SYMMETRIC FRACTALS
R. Hilfer and A. Blumen
J.Phys.A: Math. Gen., 17, L783, 1984