Publications – R. Hilfer

			Renormalisation on Sierpinski-type Fractals R. Hilfer, A. Blumen Journal of Physics A: Mathematical and General 17, L573-L545 (1984) 10.1088/0305-4470/17/10/004
			Renormalisation on Symmetric Fractals R. Hilfer, A. Blumen J.Phys.A: Math. Gen. 17, L783 (1984) https://doi.org/10.1088/0305-4470/17/14/011
			Stochastic Models for Corporate Planning R. Hilfer GBI — Verlag, München, 1985 ISBN-10: 3890030157, ISBN-13: 978-3890030159
			Renormalisation Group Approach in the Theory of Disordered Systems R. Hilfer Verlag Harri Deutsch, Frankfurt, 1986 ISBN-10: 3871449792, ISBN-13: 978-3871449796
			On Finitely Ramified Fractals and Their Extensions R. Hilfer, A. Blumen in: Fractals in Physics edited by: L. Pietronero and E. Tosatti Elsevier Publishing Co., Amsterdam, 33 (1986)
			Fluctuation-Dissipation on Fractals: A Probabilistic Approach R. Hilfer, A. Blumen in: Time Dependent Effects in Disordered Materials edited by: R.Pynn and T. Riste Plenum Press, New York, 217 (1987)
			On Dense Branching Phase Separation R. Hilfer, S. Alexander, R. Bruinsma in: Time Dependent Effects in Disordered Materials edited by: R.Pynn and T. Riste Plenum Press, New York, 417 (1987) https://doi.org/10.1007/978-1-4684-7476-3_43 ISBN 978-1-4684-7478-7, ISBN 978-1-4684-7476-3
			Probabilistic Interpretation of the Einstein Relation R. Hilfer, A. Blumen Physical Review A 37, 578 (1988) 10.1103/PhysRevA.37.578
			Phase Separation by Coupled Single-Crystal Growth and Polycrystalline Fingering in Al/Ge: Theory S. Alexander, R. Bruinsma, R. Hilfer, G. Deutscher, Y. Lereah Physical Review Letters 60, 1514 (1988) 10.1103/PhysRevLett.60.1514
			Continuous Time Random Walk Approach to Dynamic Percolation R. Hilfer, R. Orbach Chemical Physics 128, 275 (1988) https://doi.org/10.1016/0301-0104(88)85076-6
			Pattern Formation at Liquid Interfaces B. Heidel, C. Knobler, R. Hilfer, R. Bruinsma Physical Review Letters 60, 2492 (1988) 10.1103/PhysRevLett.60.2492
			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, Dordrecht, 127 (1988) https://doi.org/10.1007/978-94-009-2653-0_23 ISBN 978-94-009-2653-0, ISBN 978-0-7923-0073-1
			Correlated Random Walks in Dynamically Disordered Systems R. Hilfer, R. Orbach in: Dynamical Processes in Condensed Molecular Systems edited by: J. Klafter and J. Jortner and A. Blumen World Scientific Publ.Co., Singapore, 175 (1989) https://doi.org/10.1142/9789814434379_0009 ISBN: 978-981-4434-37-9
			The Continuum Limit for Selfsimilar Laplacians and the Greens Function Localization Exponent R. Hilfer UCLA-Report 982051, Los Angeles, 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., Singapore, 32 (1989)
			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., Singapore, 302 (1990) https://doi.org/10.1142/9789814540261 ISBN: 978-981-4540-26-1
			Frequency Dependent Response and Dynamic Disorder R. Hilfer Journal of Non-Crystalline Solids 131–133, 213 (1991) https://doi.org/10.1016/0022-3093(91)90303-N
			Correlated Hopping in a Disordered Medium R. Hilfer Physical Review B 44, 628 (1991) 10.1103/PhysRevB.44.628
			Random Walks with Short Memory in a Disordered Environment R. Hilfer Physical Review B 44, 638 (1991) 10.1103/PhysRevB.44.638
			Geometric and Dielectric Characterization of Porous Media R. Hilfer Physical Review B 44, 60 (1991) https://doi.org/10.1103/PhysRevB.44.60
			Analysis of Multilayer Adsorption Models without Screening R. Hilfer, J.-S. Wang Journal of Physics A: Mathematical and General 24, L389 (1991) 10.1088/0305-4470/24/7/013
			Thermodynamic Scaling Derived via Analytic Continuation from the Classification of Ehrenfest R. Hilfer Physica Scripta 44, 321 (1991) 10.1088/0031-8949/44/4/002
			Local Porosity Theory for Flow in Porous Media R. Hilfer Physical Review B 45, 7115 (1992) https://doi.org/10.1103/PhysRevB.45.7115
			Geometry, Dielectric Response and Scaling in Porous Media R. Hilfer Physica Scripta T44, 51 (1992) 10.1088/0031-8949/1992/t44/007
			Orientational Ordering in Lipid Monolayers: A Two-dimensional Model of Rigid Rods Grafted onto a Lattice M. Scheringer, R. Hilfer, K. Binder Journal of Chemical Physics 96, 2269 (1992) https://doi.org/10.1063/1.462077
			Multiscaling and the Classification of Continuous Phase Transitions R. Hilfer Physical Review Letters 68, 190 (1992) 10.1103/PhysRevLett.68.190
			Grain Size Distribution for Competitive Growth with Nucleation R. Hilfer, P. Meakin Zeitschrift für Physik B 88, 223 (1992) https://doi.org/10.1007/BF01323576
			Microstructural Sensitivity of Local Porosity Distributions F. Boger, J. Feder, R. Hilfer, T. Jøssang Physica A 187, 55 (1992) https://doi.org/10.1016/0378-4371(92)90408-I
			Scaling Theory and the Classification of Phase Transitions R. Hilfer Mod. Phys. Lett. B 6, 773 (1992) https://doi.org/10.1142/S0217984992000855
			Dynamic and geometric correlation effects in disordered systems R. Hilfer Habilitationsschrift, Universität Mainz, 1992
			Modeling of Orientational Ordering in Lipid Monolayers M.Kreer, M.Scheringer, K.Binder, K.Kremer, 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, Berlin, 159 (1993) https://doi.org/10.1007/978-3-642-84878-0_13 ISBN 978-3-642-84878-0
			Local Porosity Theory for Electrical and Hydrodynamical Transport through Porous Media R. Hilfer Physica A 194, 406 (1993) https://doi.org/10.1016/0378-4371(93)90372-B
			Dielectric Dispersion Measurements of Salt Water Saturated Porous Glass Compared with Local Porosity Theory B.D. Hansen, E. Haslund, R. Hilfer, B. Nøst Materials Research Society Proceedings 290, 185 (1993) https://doi.org/10.1557/PROC-290-185
			Classification Theory for Phase Transitions R. Hilfer International Journal of Modern Physics B 7, 4371 (1993) https://doi.org/10.1142/S0217979293003711
			Classification Theory for Anequilibrium Phase Transitions R. Hilfer Physical Review E 48, 2466 (1993) 10.1103/PhysRevE.48.2466
			Fractal Behaviour of CO_2 Pits T. Johnsen, Th. Walmann, R. Hilfer, P. Meakin, T. Jøssang, J. Feder Fracton A/S, Oslo, 1993
			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., Singapore, 85 (1994) https://doi.org/10.1142/2378 978-981-4550-80-2
			Two Phase Flow and Relative Permeabilities R. Hilfer, P.E. Øren Statoil Publication Nr. F&U-LoU-94001, Trondheim, 1993
			Thermal Field Theory R. Hilfer UR.Nr. 451/92 Weirich, Ingelheim, 1992
			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, B.D.Hansen Physica A 207, 19 (1994) https://doi.org/10.1016/0378-4371(94)90350-6
			Dimensional Analysis of Pore Scale and Field Scale Immiscible Displacement R. Hilfer, P.E. Øren Transport in Porous Media 22, 53 (1996) https://doi.org/10.1007/BF00974311
			Absence of Hyperscaling Violations for Phase Transitions with Positive Specific Heat Exponent R. Hilfer Zeitschrift für Physik B: Condensed Matter 96, 63 (1994) https://doi.org/10.1007/BF01313016
			Are Critical Finite Size Scaling Functions Calculable From Knowledge of an Appropriate Critical Exponent ? R. Hilfer, N.B.Wilding J. Phys. A: Math. Gen. 28, L281 (1995) 10.1088/0305-4470/28/10/001
			Measurement of Local Porosities and Dielectric Dispersion for a Water Saturated Porous Medium E. Haslund, B.D. Hansen, R. Hilfer, B. Nøst Journal of Applied Physics 76, 5473 (1994) https://doi.org/10.1063/1.357205
			Continuum Monte-Carlo Simulations of Phase Transitions in Rodlike Molecules at Surfaces R. Hilfer, F.M. Haas, K. Binder Il Nuovo Cimento D 16, 1297-1303 (1994) https://doi.org/10.1007/BF02458816
			Layers of Semiflexible Chain Molecules Endgrafted at Interfaces: An Off-Lattice Monte Carlo Simulation F.M. Haas, R. Hilfer, K. Binder Journal of Chemical Physics 102, 2960-2969 (1995) https://doi.org/10.1063/1.468604
			Fractional Master Equations and Fractal Time Random Walks R. Hilfer, L. Anton Physical Review E, Rapid Communication 51, R848 (1995) https://doi.org/10.1103/PhysRevE.51.R848
			Exact Solutions for a Class of Fractal Time Random Walks R. Hilfer Fractals 3(1), 211-216 (1995) https://doi.org/10.1142/S0218348X95000163
			Fractional Dynamics, Irreversibility and Ergodicity Breaking R. Hilfer Chaos, Solitons and Fractals 5, 1475 (1995) https://doi.org/10.1016/0960-0779(95)00027-2
			Transport and Relaxation Phenomena in Porous Media R. Hilfer Advances in Chemical Physics XCII, 299 (1996) ISBN: 978-0-470-14204-2
			Foundations of Fractional Dynamics R. Hilfer Fractals 3, 549 (1995) https://doi.org/10.1142/S0218348X95000485
			An Extension of the Dynamical Foundation for the Statistical Equilibrium Concept R. Hilfer Physica A 221, 89-96 (1995) https://doi.org/10.1016/0378-4371(95)00240-8
			Probabilistic Methods, Upscaling and Fractal Statistics in Porous Media R. Hilfer Zentralblatt für Geologie und Paläontologie, Teil I 11/12, 1035 (1997)
			Local Porosity Theory for the Transition from Microscales to Macroscales in Porous Media R. Hilfer, B. Virgin, 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, R. Hilfer Physica A 232, 1-10 (1996) https://doi.org/10.1016/0378-4371(96)00131-8
			Continuum Monte Carlo Simulation at Constant Pressure of Stiff Chain Molecules at Surfaces F. M. Haas, R. Hilfer Journal of Chemical Physics 105, 3859 (1996) https://doi.org/10.1063/1.472206
			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, K. Binder The Journal of Physical Chemistry 100 (37), 15290-15300 (1996) DOI: 10.1021/jp9610980
			Local Percolation Probabilities for a Natural Sandstone R. Hilfer, T. Rage, B. Virgin Physica A 241, 105 (1997) https://doi.org/10.1016/S0378-4371(97)00067-8
			Local Entropy Characterization of Correlated Random Microstructures C. Andraud, A. Beghdadi, E. Haslund, R. Hilfer, J. Lafait, B. Virgin Physica A 235, 307 (1997) https://doi.org/10.1016/S0378-4371(96)00354-8
			Scaling of Multiphase Flow R. Hilfer, P.E. Øren Statoil Publication Nr. F&U-LoU-96015, Trondheim, 1996
			Statistical Prediction of Corrosion Front Penetration T. Johnsen, R. Hilfer Phys.Rev. E 55, 5433 (1997) https://doi.org/10.1103/PhysRevE.55.5433
			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, Berlin, 53 (1997) 10.1007/978-3-662-09799-1 978-3-540-64000-4
			Threedimensional Local Porosity Analysis of Porous Media B. Biswal, C. Manwart, R. Hilfer Physica A 255, 221 (1998) https://doi.org/10.1016/S0378-4371(98)00111-3
			Macroscopic Equations of Motion for Two Phase Flow in Porous Media R. Hilfer Physical Review E 58, 2090 (1998) https://doi.org/10.1103/PhysRevE.58.2090
			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 Lecture Notes in Physics, vol. 519,Springer, Berlin, 77 (1999) 10.1007/BFb0106828 978-3-662-14242-4
			Microstructure Analysis of Reconstructed Porous Media B. Biswal, R. Hilfer Physica A 266, 307 (1999) https://doi.org/10.1016/S0378-4371(98)00607-4
			Applications of Fractional Calculus in Physics R. Hilfer World Scientific Publ. Co., Singapore, 2000 https://doi.org/10.1142/3779 ISBN: 978-981-02-3457-7
			Trapping and Mobilization of Residual Fluid During Capillary Desaturation in Porous Media L. Anton, R. Hilfer Physical Review E 59, 6819 (1999) https://doi.org/10.1103/PhysRevE.59.6819
			Reconstruction of Random Media Using Monte Carlo Methods C. Manwart, R. Hilfer Physical Review E 59, 5596 (1999) https://doi.org/10.1103/PhysRevE.59.5596
			Quantitative Prediction of Effective Material Properties of Heterogeneous Media J. Widjajakusuma, B. Biswal, R. Hilfer Computational Materials Science 16, 70 (1999) https://doi.org/10.1016/S0927-0256(99)00047-6
			Exact and Approximate Calculations for Conductivity of Sandstones J. Widjajakusuma, C. Manwart, B. Biswal, R. Hilfer Physica A 270, 325 (1999) https://doi.org/10.1016/S0378-4371(99)00141-7
			Macroscopic Dielectric Constant for Microstructures of Sedimentary Rocks R. Hilfer, J. Widjajakusuma, B. Biswal Granular Matter 2, 137 (1999) https://doi.org/10.1007/s100359900035
			Quantitative Analysis of Experimental and Synthetic Microstructures for Sedimentary Rock B. Biswal, C. Manwart, R. Hilfer, S. Bakke, P.E. Øren Physica A 273, 452 (1999) https://doi.org/10.1016/S0378-4371(99)00248-4
			Old Problems and New Solutions for Multiphase Flow in Porous Media R. Hilfer, H. Besserer in: Porous Media: Physics, Mo\-dels, Simulation edited by: A. Dmitrievsky and M. Panfilov World Scientific Publ. Co., Singapore, 133-144 (2000) https://doi.org/10.1142/9789812817617_0008 ISBN: 978-981-02-4126-1
			Macroscopic Two Phase Flow in Porous Media R. Hilfer, H. Besserer Physica B 279, 125 (2000) https://doi.org/10.1016/S0921-4526(99)00694-8
			On the Analysis of Spatial Binary Images C. Lang, J. Ohser, R. Hilfer Journal of Microscopy 203, 303 (2001) https://doi.org/10.1046/j.1365-2818.2001.00899.x
			Macroscopic equations for twophase flow R. Hilfer Statoil Publication Nr. F&U-LoU-9901x, Trondheim, 1999
			Fractional Time Evolution R. Hilfer in: Applications of Fractional Calculus in Physics edited by: R. Hilfer World Scientific, Singapore, 87-130 (2000) https://doi.org/10.1142/3779 ISBN: 978-981-02-3457-7
			Fractional Calculus and Regular Variation in Thermodynamics R. Hilfer in: Applications of Fractional Calculus in Physics edited by: R. Hilfer World Scientific, Singapore, 429-463 (2000) https://doi.org/10.1142/3779 ISBN: 978-981-02-3457-7
			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, Berlin, 215 (2000) 10.1007/978-3-642-59751-0 ISBN: 978-3-642-64109-1
			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, Berlin, 203 (2000) 10.1007/3-540-45043-2 ISBN: 978-3-642-08725-7
			Fractional Diffusion based on Riemann-Liouville Fractional Derivatives R. Hilfer The Journal of Physical Chemistry B 104, 3914-3917 (2000) DOI: 10.1021/jp9936289
			Erosion-Dilation Analysis for Experimental and Synthetic Microstructures of Sedimentary Rock A. Tscheschel, D. Stoyan, R. Hilfer Physica A 284, 46 (2000) https://doi.org/10.1016/S0378-4371(00)00116-3
			Stochastic Reconstruction of Sandstones C. Manwart, S. Torquato, R. Hilfer Physical Review E 62, 893 (2000) https://doi.org/10.1103/PhysRevE.62.893
			Physics on fast computers: What are computer experiments good for? R. Hilfer, S. Schwarzer, F. Gähler, J. Roth Stuttgarter Uni Kurier 86 2/2000, 53 (2000)
			Effective Physical Properties of Sandstones J. Widjajakusuma, R. Hilfer in: IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials edited by: W. Ehlers Solid Mechanics and Its Applications, vol. 87,Kluwer, Dordrecht, 113 (2001) 10.1007/0-306-46953-7 ISBN: 978-0-7923-6766-6
			Review on Scale Dependent Characterization of the Microstructure of Porous Media R. Hilfer Transport in Porous Media 46, 373 (2002) https://doi.org/10.1023/A:1015014302642
			Permeability and Conductivity for Reconstruction Models of Porous Media R. Hilfer, C. Manwart Physical Review E 64, 21304 (2001) https://doi.org/10.1103/PhysRevE.64.021304
			Analytical representations for relaxation functions of glasses R. Hilfer Journal of Non-Crystalline Solids 305, 122 (2002) https://doi.org/10.1016/S0022-3093(02)01088-8
			H-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems R. Hilfer Physical Review E 65, 061510 (2002) https://doi.org/10.1103/PhysRevE.65.061510
			Physics on the Computer R. Hilfer ICP, Stuttgart, 2002
			Fitting the excess wing in the dielectric alpha-relaxation of propylene carbonate R. Hilfer Journal of Physics: Condensed Matter 14, 2297 (2002) https://doi.org/10.1088/0953-8984/14/9/318
			Lattice-Boltzmann and finite-difference simulations for the permeability of three-dimensional porous media C. Manwart, U. Aaltosalmi, A. Koponen, R. Hilfer, J. Timonen Physical Review E 66, 016702 (2002) https://doi.org/10.1103/PhysRevE.66.016702
			Experimental Evidence for Fractional Time Evolution in Glass Forming Materials R. Hilfer Chem.Phys. 284, 399 (2002) https://doi.org/10.1016/S0301-0104(02)00670-5
			Strange Kinetics R. Hilfer, R. Metzler, A. Blumen, J. Klafter(eds) Chemical Physics 284, 1 (2002) https://doi.org/10.1016/S0301-0104(02)00801-7
			Numerical Simulation of Creeping Fluid Flow in Reconstruction Models of Porous Media C. Manwart, R. Hilfer Physica A 314, 706 (2002) https://doi.org/10.1016/S0378-4371(02)01193-7
			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, Singapore, 251 (2002) https://doi.org/10.1142/9789812778109_0026 ISBN: 978-981-02-4838-3
			On Fractional Relaxation R. Hilfer Fractals 11, 251 (2003) https://doi.org/10.1142/S0218348X03001914
			Quantitative comparison of meanfield mixing laws for conductivity and dielectric constant of porous media R. Hilfer, J. Widjajakusuma, B. Biswal Physica A 318, 319 (2003) https://doi.org/10.1016/S0378-4371(02)01197-4
			Thermodynamic potentials for the infinite range Ising model with strong coupling R. Hilfer Physica A 320, 429 (2003) https://doi.org/10.1016/S0378-4371(02)01585-6
			Remarks on Fractional Time R. Hilfer in: Time, Quantum and Information edited by: L. Castell and O. Ischebeck Springer, Berlin, 235 (2003) 10.1007/978-3-662-10557-3 ISBN: 978-3-540-44033-8
			On fractional diffusion and continuous time random walks R. Hilfer Physica A 329, 35 (2003) https://doi.org/10.1016/S0378-4371(03)00583-1
			Numerical Results for the Generalized Mittag-Leffler Function H.J. Seybold, R. Hilfer Fractional Calculus and Applied Analysis 8, 127 (2005)
			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, W. Janke Physical Review E 68, 046123 (2003) https://doi.org/10.1103/PhysRevE.68.046123
			Dimensional analysis and upscaling of two-phase flow in porous media with piecewise constant heterogeneities R. Hilfer, R. Helmig Advances in Water Resources 27, 1033 (2004) https://doi.org/10.1016/j.advwatres.2004.07.003
			Multicanonical Simulations of the Tails of the Order-Parameter Distribution of the two-dimensional Ising Model R. Hilfer, B. Biswal, H.G. Mattutis, W. Janke Computer Physics Communications 169, 230 (2005) https://doi.org/10.1016/j.cpc.2005.03.053
			Characterization of Porous Media by Local Porosities, Minkowski- and Non-Minkowski Functionals R. Hilfer Microscopy and Microanalysis 10, 72 (2004) DOI: 10.1017/S1431927604884472
			Computation of the Generalized Mittag-Leffler Function and its Inverse in the Complex Plane R. Hilfer, H.J. Seybold Integral Transforms and Special Functions 17, 637 (2006) https://doi.org/10.1080/10652460600725341
			Simulating the Saturation Front Using a Fractional Diffusion Model E. Gerolymatou, I. Vardoulakis, R. Hilfer in: Proceedings of the GRACM05 International Congress on Computational Mechanics, Limassol 2005 edited by: G. Georgiou, P. Papanastasiou, M. Papadrakakis GRACM, Athens, 653 (2005)
			Capillary Pressure, Hysteresis and Residual Saturation in Porous Media R. Hilfer Physica A 359, 119 (2006) https://doi.org/10.1016/j.physa.2005.05.086
			Modeling Infiltration by Means of a Nonlinear Fractional Diffusion Model E. Gerolymatou, I. Vardoulakis, R. Hilfer Journal of Physics D: Applied Physics 39, 4104 (2006)
			Macroscopic Capillarity and Hysteresis for Flow in Porous Media R. Hilfer Physical Review E 73, 016307 (2006) https://doi.org/10.1103/PhysRevE.73.016307
			Macroscopic capillarity without a constitutive capillary pressure function R. Hilfer Physica A 371, 209 (2006) https://doi.org/10.1016/j.physa.2006.04.051
			Stochastic Multiscale Model for Carbonate Rocks B. Biswal, P.E. Øren, R. Held, S. Bakke, R. Hilfer Physical Review E 75, 061303 (2007) https://doi.org/10.1103/PhysRevE.75.061303
			Pore Scale Modeling of Carbonate Rocks R. Hilfer Statoil Publication 4500523922, Trondheim, 2007
			Transubstantiation R. Hilfer Forum Katholische Theologie 33, 304–318 (2017)
			Katechon R. Hilfer Forum Katholische Theologie 38, 161–173 (2022)
			Dimensional Analysis of Two-phase Flow Including a Rate-dependent Capillary Pressure-Saturation Relationship S. Manthey, M. Hassanizadeh, R. Helmig, R. Hilfer Advances in Water Resources 31, 1137 (2008) https://doi.org/10.1016/j.advwatres.2008.01.021
			Some Bounds for Alternating Mathieu Type Series Z. Tomovski, R. Hilfer Journal of Mathematical Inequalities 2, 17 (2008) dx.doi.org/10.7153/jmi-02-03
			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, Weinheim, 17-74 (2008) ISBN: 978-3-527-40722-4
			Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function H.J. Seybold, R. Hilfer SIAM Journal on Numerical Analysis 47, 69 (2008) https://doi.org/10.1137/070700280
			Numerical Modeling of Fluid Flow in Porous Media and in Driven Colloidal Suspensions J. Harting, T. Zauner, R. Weber, R. Hilfer in: High Performance Computing in Science and Engineering ’08 edited by: W. Nagel and D. Kröner and M. Resch Springer, Berlin, 349 (2009) 10.1007/978-3-540-88303-6 ISBN: 978-3-540-88301-2
			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, New York, 141 (2009) https://doi.org/10.1063/1.3082273
			Modeling of Multiscale Porous Media B. Biswal, P.E. Øren, R.J. Held, S. Bakke, R. Hilfer Image Analysis and Stereology 28, 23-34 (2009) DOI: 10.5566/ias.v28.p23-34
			Percolation as a basic concept for macroscopic capillarity R. Hilfer, F. Doster Transport in Porous Media 82, 507 (2010) https://doi.org/10.1007/s11242-009-9395-0
			Operational Method for the Solution of Fractional Differential Equations with Generalized Riemann-Liouville Fractional Derivatives R. Hilfer, Y. Luchko, 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, R. Hilfer Physical Review E 80, 041301 (2009) https://doi.org/10.1103/PhysRevE.80.041301
			Continuum reconstruction of the pore scale microstructure for Fontainebleau sandstone F. Latief, B. Biswal, U. Fauzi, R. Hilfer Physica A 389, 1607 (2010) https://doi.org/10.1016/j.physa.2009.12.006
			Numerical solutions of a generalized theory for macroscopic capillarity F. Doster, P. Zegeling, R. Hilfer Physical Review E 81, 036307 (2010) https://doi.org/10.1103/PhysRevE.81.036307
			Quantitative analysis of numerical estimates for the permeability of porous media from lattice-Boltzmann simulations A. Narvaez, Th. Zauner, F. Raischel, R. Hilfer, J. Harting Journal of Statistical Mechanics 2010, P11026 (2010) https://doi.org/10.1088/1742-5468/2010/11/P11026
			Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions Z. Tomovski, R. Hilfer, H.M. Srivastava Integral Transforms and Special Functions 21, 797 (2010) https://doi.org/10.1080/10652461003675737
			Erratum on ”Some Bounds for Alternating Mathieu Type Series” R. Hilfer J.Math.Inequalities 4, 615 (2010) dx.doi.org/10.7153/jmi-04-56
			Particle-based Rendering for Porous Media S. Grottel, G. Reina, T. Zauner, R. Hilfer, T. Ertl in: Proceedings of SIGRAD 2010: Content aggregation and visualization edited by: K. Jää-Aro and T. Larsson Linköping Electronic Conference Proceedings, vol. 52,Linköping University Electronic Press, Linköping, 45 (2010)
			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. Øren, L. Berge, R. Hilfer AAPG Bulletin 95, 925 (2011) DOI:10.1306/12031010092
			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, Singapore, 207 (2011) https://doi.org/10.1142/8087 ISBN: 978-981-4340-58-8
			High precision synthetic computed tomography of reconstructed porous media R. Hilfer, T. Zauner Physical Review E 84, 062301 (2011) https://doi.org/10.1103/PhysRevE.84.062301
			Generalized Buckley-Leverett theory for two phase flow in porous media F. Doster, R. Hilfer New Journal of Physics 13, 123030 (2011) https://doi.org/10.1088/1367-2630/13/12/123030
			Horizontal flows and capillarity driven redistribution F. Doster, O. Hönig, R. Hilfer Physical Review E 86, 016317 (2012) https://doi.org/10.1103/PhysRevE.86.016317
			Nonmonotone Saturation Profiles for Hydrostatic Equilibrium in Homogeneous Media R. Hilfer, F. Doster, P. Zegeling Vadose Zone Journal 11, vzj2012.0021 (2012) doi:10.2136/vzj2012.0021
			Applications and Implications of Fractional Dynamics for Dielectric Relaxation R. Hilfer in: Recent Advances in Broadband Dielectric Spectroscopy edited by: Y. Kalmykov Springer, Berlin, 123 (2012) 10.1007/978-94-007-5012-8 978-94-007-5011-1
			Travelling Wave Solutions in a Generalized Theory for Macroscopic Capillarity O. Hönig, F. Doster, R. Hilfer Transport in Porous Media 99, 467 (2013) https://doi.org/10.1007/s11242-013-0196-0
			A comparison between simulation and experiment for hysteretic phenomena during two phase immiscible displacement F. Doster, R. Hilfer Water Resources Research 50, 681-686 (2014) https://doi.org/10.1002/2013WR014619
			Saturation overshoot and hysteresis for twophase flow in porous media R. Hilfer, R. Steinle The European Physical Journal ST 223, 2323-2338 (2014) https://doi.org/10.1140/epjst/e2014-02267-x
			Excess wings in broadband dielectric spectroscopy S. Candelaresi, R. Hilfer AIP Conference Proceedings 1637, 1283 (2014) https://doi.org/10.1063/1.4907293
			Parallel domain decomposition method with non-blocking communication for flow through porous media A. Lemmer, R. Hilfer Journal of Computational Physics 281, 970-981 (2015) https://doi.org/10.1016/j.jcp.2014.08.032
			Experimental Implications of Bochner-Levy-Riesz Diffusion R. Hilfer Fractional Calculus and Applied Analysis 18, 333-341 (2015) https://doi.org/10.1515/fca-2015-0022
			Differential porosimetry and permeametry for random porous media R. Hilfer, A. Lemmer Physical Review E 92, 013305 (2015) https://doi.org/10.1103/PhysRevE.92.013305
			Capillary saturation and desaturation R. Hilfer, R. Armstrong, S. Berg, A. Georgiadis, H. Ott Physical Review E 92, 063023 (2015) https://doi.org/10.1103/PhysRevE.92.063023
			*Time Automorphisms on C-Algebras** R. Hilfer Mathematics 3, 623-643 (2015) https://doi.org/10.3390/math3030626
			Inﬂuence of Initial Conditions on Propagation, Growth and Decay of Saturation Overshoot R. Steinle, R. Hilfer Transport in Porous Media 111, 369-380 (2016) https://doi.org/10.1007/s11242-015-0598-2
			Non-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media O. Hönig, P. Zegeling, F. Doster, R. Hilfer Transport in Porous Media 114, 309-340 (2016) https://doi.org/10.1007/s11242-015-0618-2
			Mathematical analysis of time flow R. Hilfer Analysis 36, 49-64 (2016) https://doi.org/10.1515/anly-2015-5005
			Pore-scale displacement mechanisms as a source of hysteresis for two-phase flow in porous media S. Schlüter, S. Berg, M. Rücker, R. Armstrong, H.-J. Vogel, R. Hilfer, D. Wildenschild Water Resources Research 52, 2194-2205 (2016) https://doi.org/10.1002/2015WR018254
			Hysteresis in relative permeabilities suffices for propagation of saturation overshoot: A quantitative comparison with experiment R. Steinle, R. Hilfer Physical Review E 95, 043112 (2017) https://doi.org/10.1103/PhysRevE.95.043112
			Ground state collapse at strong coupling R. Hilfer Journal MESA 8, 307-310 (2017)
			Composite Continuous Time Random Walks R. Hilfer Eur.Phys.J. B 90, 233 (2017) https://doi.org/10.1140/epjb/e2017-80369-y
			Stable Propagation of Saturation Overshoots for Two-Phase Flow in Porous Media M. Schneider, T. Köppl, R. Helmig, R. Steinle, R. Hilfer Transport in Porous Media 121, 621-641 (2018) https://doi.org/10.1007/s11242-017-0977-y
			On Local Equilibrium and Ergodicity R. Hilfer Acta Physica Polonica B 49, 859 (2018) DOI: 10.5506/APhysPolB.49.859
			Multiscale local porosity theory, weak limits, and dielectric response in composite and porous media R. Hilfer Journal of Mathematical Physics 59, 103511 (2018) https://doi.org/10.1063/1.5063466
			Desiderata for Fractional Derivatives and Integrals R. Hilfer, Yu. Luchko Mathematics 7, 149 (2019) https://doi.org/10.3390/math7020149
			Mathematical and physical interpretations of fractional derivatives and integrals R. Hilfer in: Handbook of Fractional Calculus with Applications: Basic Theory, Vol. 1 edited by: A. Kochubei and Y. Luchko Walter de Gruyter GmbH, Berlin, 47-86 (2019) https://doi.org/10.1515/9783110571622 ISBN: 9783110571622
			Convolution Operators on Weighted Spaces of Continuous Functions and Supremal Convolution T. Kleiner, R. Hilfer Annali di Matematica Pura ed Applicata 199, 1547-1569 (2020) https://doi.org/10.1007/s10231-019-00931-z
			Weyl Integrals on Weighted Spaces T. Kleiner, R. Hilfer Fractional Calculus and Applied Analysis 22, 1225-1248 (2019) DOI: 10.1515/fca-2019-0065
			Excess wing physics and nearly constant loss in glasses R. Hilfer Journal of Statistical Mechanics: Theory and Experiment 2019, 104007 (2019) https://doi.org/10.1088/1742-5468/ab38bc
			Maximal Domains for Fractional Derivatives and Integrals R. Hilfer, T. Kleiner Mathematics 8, 1107 (2020) https://doi.org/10.3390/math8071107
			A Critical Review of Capillary Number and its Application in Enhanced Oil Recovery H. Guo, K. Song, R. Hilfer SPE Conference Proceedings 2020, SPE-200419-MS (2020) https://doi.org/10.2118/200419-MS
			Capillary number correlations for two-phase flow in porous media R. Hilfer Physical Review E 102, 053103 (2020) https://doi.org/10.1103/PhysRevE.102.053103
			Fractional glassy relaxation and convolution modules of distributions T. Kleiner, R. Hilfer Analysis and Mathematical Physics 11, 130 (2021) https://doi.org/10.1007/s13324-021-00504-5
			On extremal domains and codomains for convolution of distributions and fractional calculus T. Kleiner, R. Hilfer Monatshefte für Mathematik 198, 122-152 (2022) https://doi.org/10.1007/s00605-021-01646-1
			Percolativity of Porous Media R. Hilfer, J. Hauskrecht Transport in Porous Media 145, 1-12 (2022) https://doi.org/10.1007/s11242-021-01735-7
			Foundations of statistical mechanics for unstable interactions R. Hilfer Physical Review E 105, 024142 (2022) https://doi.org/10.1103/PhysRevE.105.024142
			A Brief Review of Capillary Number and its Use in Capillary Desaturation Curves H. Guo, K. Song, R. Hilfer Transport in Porous Media 144, 3-31 (2022) https://doi.org/10.1007/s11242-021-01743-7
			Sequential generalized Riemann–Liouville derivatives based on distributional convolution T. Kleiner, R. Hilfer Fractional Calculus and Applied Analysis 25, 267-298 (2022) https://doi.org/10.1007/s13540-021-00012-0
			Existence and Uniqueness of Nonmonotone Solutions in Porous Media Flow R. Steinle, T. Kleiner, P. Kumar, R. Hilfer Axioms 11, 327 (2022) https://doi.org/10.3390/axioms11070327
			Effective transport coefficients of anisotropic disordered materials R. Hilfer, J. Hauskrecht European Physical Journal B 95, 117 (2022) https://doi.org/10.1140/epjb/s10051-022-00338-5
			Convolution on Distribution Spaces Characterized by Regularization T. Kleiner, R. Hilfer Mathematische Nachrichten 296, 1938-1963 (2023) https://doi.org/10.1002/mana.202100330