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Mark M. Meerschaert - Publications

Affiliations: 
Statistics Michigan State University, East Lansing, MI 
Area:
Statistics
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152 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Lischke A, Pang G, Gulian M, Song F, Glusa C, Zheng X, Mao Z, Cai W, Meerschaert MM, Ainsworth M, Karniadakis GE. What is the fractional Laplacian? A comparative review with new results Journal of Computational Physics. 404: 109009. DOI: 10.1016/J.Jcp.2019.109009  0.362
2019 Kelly JF, Meerschaert MM. Space-time duality and high-order fractional diffusion. Physical Review. E. 99: 022122. PMID 30934285 DOI: 10.1103/Physreve.99.022122  0.405
2019 Lischke A, Kelly JF, Meerschaert MM. Mass-conserving tempered fractional diffusion in a bounded interval Fractional Calculus and Applied Analysis. 22: 1561-1595. DOI: 10.1515/Fca-2019-0081  0.361
2019 Kern P, Lage S, Meerschaert MM. Semi-fractional diffusion equations Fractional Calculus and Applied Analysis. 22: 326-357. DOI: 10.1515/Fca-2019-0021  0.448
2019 Meerschaert MM, Toaldo B. Relaxation patterns and semi-Markov dynamics Stochastic Processes and Their Applications. 129: 2850-2879. DOI: 10.1016/J.Spa.2018.08.004  0.335
2019 Sabzikar F, McLeod AI, Meerschaert MM. Parameter estimation for ARTFIMA time series Journal of Statistical Planning and Inference. 200: 129-145. DOI: 10.1016/J.Jspi.2018.09.010  0.75
2019 Li C, Li M, Piskarev S, Meerschaert MM. The fractional d'Alembert's formulas Journal of Functional Analysis. 277: 108279. DOI: 10.1016/J.Jfa.2019.108279  0.347
2019 Kelly JF, Sankaranarayanan H, Meerschaert MM. Boundary conditions for two-sided fractional diffusion Journal of Computational Physics. 376: 1089-1107. DOI: 10.1016/J.Jcp.2018.10.010  0.339
2019 Samiee M, Zayernouri M, Meerschaert MM. A unified spectral method for FPDEs with two-sided derivatives; Part II: Stability, and error analysis Journal of Computational Physics. 385: 244-261. DOI: 10.1016/J.Jcp.2018.07.041  0.329
2018 Kelly JF, Meerschaert MM, McGough R. A continuous power law wave equation for biomedical ultrasound The Journal of the Acoustical Society of America. 143: 1802-1802. DOI: 10.1121/1.5035896  0.383
2018 Didier G, Meerschaert MM, Pipiras V. Domain and range symmetries of operator fractional Brownian fields Stochastic Processes and Their Applications. 128: 39-78. DOI: 10.1016/J.Spa.2017.04.003  0.303
2018 Baeumer B, Kovács M, Meerschaert MM, Sankaranarayanan H. Reprint of: Boundary conditions for fractional diffusion Journal of Computational and Applied Mathematics. 339: 414-430. DOI: 10.1016/J.Cam.2018.03.007  0.346
2018 Baeumer B, Kovács M, Meerschaert MM, Sankaranarayanan H. Boundary conditions for fractional diffusion Journal of Computational and Applied Mathematics. 336: 408-424. DOI: 10.1016/J.Cam.2017.12.053  0.346
2018 Kelly JF, Li C, Meerschaert MM. Anomalous diffusion with ballistic scaling: A new fractional derivative Journal of Computational and Applied Mathematics. 339: 161-178. DOI: 10.1016/J.Cam.2017.11.012  0.401
2018 Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems Mathematische Nachrichten. 291: 2516-2535. DOI: 10.1002/Mana.201700111  0.363
2017 Alrawashdeh MS, Kelly JF, Meerschaert MM, Scheffler H. Applications of inverse tempered stable subordinators Computers & Mathematics With Applications. 73: 892-905. DOI: 10.1016/J.Camwa.2016.07.026  0.477
2017 Kelly JF, Bolster D, Meerschaert MM, Drummond JD, Packman AI. FracFit: A robust parameter estimation tool for fractional calculus models Water Resources Research. 53: 2559-2567. DOI: 10.1002/2016Wr019748  0.427
2017 Kelly JF, Meerschaert MM. Space-time duality for the fractional advection-dispersion equation Water Resources Research. 53: 3464-3475. DOI: 10.1002/2016Wr019668  0.372
2016 Meerschaert MM, Magin RL, Ye AQ. Anisotropic fractional diffusion tensor imaging. Journal of Vibration and Control : Jvc. 22: 2211-2221. PMID 27499605 DOI: 10.1177/1077546314568696  0.33
2016 Baeumer B, Kovács M, Meerschaert MM, Schilling RL, Straka P. Reflected spectrally negative stable processes and their governing equations Transactions of the American Mathematical Society. 368: 227-248. DOI: 10.1090/Tran/6360  0.38
2016 Kern P, Meerschaert MM, Xiao Y. Asymptotic Behavior of Semistable Lévy Exponents and Applications to Fractal Path Properties Journal of Theoretical Probability. 31: 598-617. DOI: 10.1007/S10959-016-0720-6  0.33
2016 Meerschaert MM, Sabzikar F. Tempered Fractional Stable Motion Journal of Theoretical Probability. 29: 681-706. DOI: 10.1007/S10959-014-0585-5  0.771
2016 Zhang Y, Meerschaert MM, Neupauer RM. Backward fractional advection dispersion model for contaminant source prediction Water Resources Research. DOI: 10.1002/2015Wr018515  0.393
2015 Meerschaert MM, Schilling RL, Sikorskii A. STOCHASTIC SOLUTIONS FOR FRACTIONAL WAVE EQUATIONS. Nonlinear Dynamics. 80: 1685-1695. PMID 26146456 DOI: 10.1007/S11071-014-1299-Z  0.353
2015 Meerschaert MM, Sabzikar F, Chen J. TEMPERED FRACTIONAL CALCULUS. Journal of Computational Physics. 293: 14-28. PMID 26085690 DOI: 10.1016/J.Jcp.2014.04.024  0.8
2015 Defterli O, D’Elia M, Du Q, Gunzburger M, Lehoucq R, Meerschaert MM. Fractional Diffusion on Bounded Domains Fractional Calculus and Applied Analysis. 18. DOI: 10.1515/Fca-2015-0023  0.386
2015 Zhang Y, Meerschaert MM, Baeumer B, LaBolle EM. Modeling mixed retention and early arrivals in multidimensional heterogeneous media using an explicit Lagrangian scheme Water Resources Research. 51: 6311-6337. DOI: 10.1002/2015Wr016902  0.385
2014 Meerschaert MM, McGough RJ. Attenuated Fractional Wave Equations With Anisotropy. Journal of Vibration and Acoustics. 136: 0510041-510045. PMID 25278739 DOI: 10.1115/1.4025940  0.324
2014 Meerschaert MM, Sabzikar F. STOCHASTIC INTEGRATION FOR TEMPERED FRACTIONAL BROWNIAN MOTION. Stochastic Processes and Their Applications. 124: 2363-2387. PMID 24872598 DOI: 10.1016/J.Spa.2014.03.002  0.767
2014 Leonenko NN, Meerschaert MM, Schilling RL, Sikorskii A. Correlation Structure of Time-Changed Lévy Processes Communications in Applied and Industrial Mathematics. 6. DOI: 10.1685/Journal.Caim.483  0.348
2014 Meerschaert MM, Straka P. Semi-Markov approach to continuous time random walk limit processes Annals of Probability. 42: 1699-1723. DOI: 10.1214/13-Aop905  0.404
2014 Meerschaert MM, Sabzikar F, Phanikumar MS, Zeleke A. Tempered fractional time series model for turbulence in geophysical flows Journal of Statistical Mechanics: Theory and Experiment. 2014. DOI: 10.1088/1742-5468/2014/09/P09023  0.752
2014 Lim CY, Meerschaert MM, Scheffler HP. Parameter estimation for operator scaling random fields Journal of Multivariate Analysis. 123: 172-183. DOI: 10.1016/J.Jmva.2013.09.010  0.308
2013 Straka P, Meerschaert MM, McGough RJ, Zhou Y. FRACTIONAL WAVE EQUATIONS WITH ATTENUATION. Fractional Calculus & Applied Analysis. 16: 262-272. PMID 25045309 DOI: 10.2478/S13540-013-0016-9  0.307
2013 Meerschaert MM, Straka P. INVERSE STABLE SUBORDINATORS. Mathematical Modelling of Natural Phenomena. 8: 1-16. PMID 25045216 DOI: 10.1051/Mmnp/20138201  0.38
2013 Meerschaert MM, Scheffler HP. TAUBERIAN THEOREMS FOR MATRIX REGULAR VARIATION. Transactions of the American Mathematical Society. 365: 2207-2221. PMID 24644367 DOI: 10.1090/S0002-9947-2012-05751-5  0.311
2013 Bolster D, Benson DA, Meerschaert M, Baeumer B. Mixing-Driven Equilibrium Reactions in Multidimensional Fractional Advection Dispersion Systems. Physica A. 392. PMID 24223468 DOI: 10.1016/J.Physa.2012.12.040  0.323
2013 Leonenko NN, Meerschaert MM, Sikorskii A. Correlation Structure of Fractional Pearson Diffusions. Computers & Mathematics With Applications (Oxford, England : 1987). 66: 737-745. PMID 24089586 DOI: 10.1016/J.Camwa.2013.01.009  0.407
2013 Anderson PL, Meerschaert MM, Zhang K. FORECASTING WITH PREDICTION INTERVALS FOR PERIODIC ARMA MODELS. Journal of Time Series Analysis / a Journal Sponsored by the Bernoulli Society For Mathematical Statistics and Probability. 34: 187-193. PMID 23956476 DOI: 10.1111/Jtsa.12000  0.338
2013 Sun H, Meerschaert MM, Zhang Y, Zhu J, Chen W. A fractal Richards' equation to capture the non-Boltzmann scaling of water transport in unsaturated media. Advances in Water Resources. 52: 292-295. PMID 23794783 DOI: 10.1016/J.Advwatres.2012.11.005  0.365
2013 Leonenko NN, Meerschaert MM, Sikorskii A. FRACTIONAL PEARSON DIFFUSIONS. Journal of Mathematical Analysis and Applications. 403: 532-546. PMID 23626377 DOI: 10.1016/J.Jmaa.2013.02.046  0.388
2013 Benson DA, Meerschaert MM, Revielle J. Fractional calculus in hydrologic modeling: A numerical perspective. Advances in Water Resources. 51: 479-497. PMID 23524449 DOI: 10.1016/J.Advwatres.2012.04.005  0.462
2013 Meerschaert MM, Nane E, Xiao Y. FRACTAL DIMENSION RESULTS FOR CONTINUOUS TIME RANDOM WALKS. Statistics & Probability Letters. 83: 1083-1093. PMID 23482421 DOI: 10.1016/J.Spl.2013.01.001  0.375
2013 Liu F, Meerschaert MM, McGough RJ, Zhuang P, Liu Q. Numerical methods for solving the multi-term time-fractional wave-diffusion equation Fractional Calculus and Applied Analysis. 16: 9-25. DOI: 10.2478/S13540-013-0002-2  0.412
2013 Gadelkarim JJ, Magin RL, Meerschaert MM, Capuani S, Palombo M, Kumar A, Leow AD. Fractional order generalization of anomalous diffusion as a multidimensional extension of the transmission line equation Ieee Journal On Emerging and Selected Topics in Circuits and Systems. 3: 432-441. DOI: 10.1109/Jetcas.2013.2265795  0.341
2013 Molz FJ, Meerschaert MM, Kozubowski TJ, Hyden PD. Do Heterogeneous Sediment Properties and Turbulent Velocity Fluctuations Have Something in Common? Some History and a New Stochastic Process Dynamic Fluids and Transport Through in Fractured Rock. 13-22. DOI: 10.1029/162Gm03  0.442
2013 Meerschaert MM, Sabzikar F. Tempered fractional Brownian motion Statistics and Probability Letters. 83: 2269-2275. DOI: 10.1016/J.Spl.2013.06.016  0.777
2013 Zhang H, Liu F, Phanikumar MS, Meerschaert MM. A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model Computers and Mathematics With Applications. 66: 693-701. DOI: 10.1016/J.Camwa.2013.01.031  0.453
2012 Meerschaert MM, Wang W, Xiao Y. Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Transactions of the American Mathematical Society. 2013: 1081-1107. PMID 24825922 DOI: 10.1090/S0002-9947-2012-05678-9  0.353
2012 Meerschaert MM, Straka P. FRACTIONAL DYNAMICS AT MULTIPLE TIMES. Journal of Statistical Physics. 149: 578-886. PMID 23378670 DOI: 10.1007/S10955-012-0638-Z  0.415
2012 Meerschaert MM, Straka P, Zhou Y, McGough RJ. Stochastic solution to a time-fractional attenuated wave equation. Nonlinear Dynamics. 70: 1273-1281. PMID 23258950 DOI: 10.1007/S11071-012-0532-X  0.378
2012 Weron K, Stanislavsky A, Jurlewicz A, Meerschaert MM, Scheffler HP. Clustered continuous-time random walks: diffusion and relaxation consequences. Proceedings. Mathematical, Physical, and Engineering Sciences / the Royal Society. 468: 1615-1628. PMID 22792038 DOI: 10.1098/Rspa.2011.0697  0.415
2012 Meerschaert MM, Roy P, Shao Q. Parameter estimation for exponentially tempered power law distributions Communications in Statistics - Theory and Methods. 41: 1839-1856. DOI: 10.1080/03610926.2011.552828  0.328
2012 Zhang Y, Meerschaert MM, Packman AI. Linking fluvial bed sediment transport across scales Geophysical Research Letters. 39. DOI: 10.1029/2012Gl053476  0.377
2012 Chena ZQ, Meerschaert MM, Nanec E. Space-time fractional diffusion on bounded domains Journal of Mathematical Analysis and Applications. 393: 479-488. DOI: 10.1016/J.Jmaa.2012.04.032  0.43
2012 Jurlewicz A, Kern P, Meerschaert MM, Scheffler HP. Fractional governing equations for coupled random walks Computers and Mathematics With Applications. 64: 3021-3036. DOI: 10.1016/J.Camwa.2011.10.010  0.433
2011 Jurlewicz A, Meerschaert MM, Scheffler HP. Cluster continuous time random walks Studia Mathematica. 205: 13-30. DOI: 10.4064/Sm205-1-2  0.392
2011 Meerschaert MM, Nane E, Vellaisamy P. The fractional Poisson process and the inverse stable subordinator Electronic Journal of Probability. 16: 1600-1620. DOI: 10.1214/Ejp.V16-920  0.436
2011 Tesfaye YG, Anderson PL, Meerschaert MM. Asymptotic results for Fourier-PARMA time series Journal of Time Series Analysis. 32: 157-174. DOI: 10.1111/J.1467-9892.2010.00689.X  0.391
2011 Zhang Y, Meerschaert MM. Gaussian setting time for solute transport in fluvial systems Water Resources Research. 47. DOI: 10.1029/2010Wr010102  0.391
2011 Chakrabarty A, Meerschaert MM. Tempered stable laws as random walk limits Statistics and Probability Letters. 81: 989-997. DOI: 10.1016/J.Spl.2011.01.019  0.357
2011 Kumar A, Meerschaert MM, Vellaisamy P. Fractional normal inverse Gaussian diffusion Statistics and Probability Letters. 81: 146-152. DOI: 10.1016/J.Spl.2010.10.007  0.433
2011 Schumer R, Baeumer B, Meerschaert MM. Extremal behavior of a coupled continuous time random walk Physica a: Statistical Mechanics and Its Applications. 390: 505-511. DOI: 10.1016/J.Physa.2010.10.018  0.38
2011 Meerschaert MM, Nane E, Vellaisamy P. Distributed-order fractional diffusions on bounded domains Journal of Mathematical Analysis and Applications. 379: 216-228. DOI: 10.1016/J.Jmaa.2010.12.056  0.449
2010 Baeumer B, Meerschaert MM, Naber M. Stochastic models for relativistic diffusion. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 011132. PMID 20866590 DOI: 10.1103/Physreve.82.011132  0.404
2010 Ganti V, Meerschaert MM, Foufoula-Georgiou E, Viparelli E, Parker G. Normal and anomalous diffusion of gravel tracer particles in rivers Journal of Geophysical Research: Earth Surface. 115. DOI: 10.1029/2008Jf001222  0.409
2010 Meerschaert MM, Scheffler H. Erratum to “Triangular array limits for continuous time random walks” [Stochastic Process. Appl. 118 (9) (2008) 1606–1633] Stochastic Processes and Their Applications. 120: 2520-2521. DOI: 10.1016/J.Spa.2010.08.009  0.322
2010 Cohen S, Meerschaert MM, Rosiński J. Modeling and simulation with operator scaling Stochastic Processes and Their Applications. 120: 2390-2411. DOI: 10.1016/J.Spa.2010.08.002  0.322
2010 Vásquez VR, Whiting WB, Meerschaert MM. Confidence interval estimation under the presence of non-Gaussian random errors: Applications to uncertainty analysis of chemical processes and simulation Computers and Chemical Engineering. 34: 298-305. DOI: 10.1016/J.Compchemeng.2009.11.004  0.31
2010 Meerschaert MM, Zhang Y, Baeumer B. Particle tracking for fractional diffusion with two time scales Computers and Mathematics With Applications. 59: 1078-1086. DOI: 10.1016/J.Camwa.2009.05.009  0.44
2010 Baeumer B, Meerschaert MM. Tempered stable Lévy motion and transient super-diffusion Journal of Computational and Applied Mathematics. 233: 2438-2448. DOI: 10.1016/J.Cam.2009.10.027  0.46
2009 Baeumer B, Meerschaert MM, Nane E. Space-time duality for fractional diffusion Journal of Applied Probability. 46: 1100-1115. DOI: 10.1239/Jap/1261670691  0.491
2009 Meerschaert MM, Nane E, Vellaisamy P. Fractional Cauchy problems on bounded domains The Annals of Probability. 37: 979-1007. DOI: 10.1214/08-Aop426  0.393
2009 Baeumer B, Meerschaert MM, Nane E. Brownian subordinators and fractional cauchy problems Transactions of the American Mathematical Society. 361: 3915-3930. DOI: 10.1090/S0002-9947-09-04678-9  0.4
2009 Chakraborty P, Meerschaert MM, Lim CY. Parameter estimation for fractional transport: A particle-tracking approach Water Resources Research. 45. DOI: 10.1029/2008Wr007577  0.362
2009 Schumer R, Meerschaert MM, Baeumer B. Fractional advection-dispersion equations for modeling transport at the Earth surface Journal of Geophysical Research: Earth Surface. 114. DOI: 10.1029/2008Jf001246  0.379
2009 Kozubowski TJ, Meerschaert MM. A bivariate infinitely divisible distribution with exponential and Mittag-Leffler marginals Statistics and Probability Letters. 79: 1596-1601. DOI: 10.1016/J.Spl.2009.03.024  0.321
2009 Meerschaert MM, Nane E, Xiao Y. Correlated continuous time random walks Statistics and Probability Letters. 79: 1194-1202. DOI: 10.1016/J.Spl.2009.01.007  0.465
2009 Meerschaert MM, Stoev SA. Extremal limit theorems for observations separated by random power law waiting times Journal of Statistical Planning and Inference. 139: 2175-2188. DOI: 10.1016/J.Jspi.2008.10.005  0.442
2009 Benson DA, Meerschaert MM. A simple and efficient random walk solution of multi-rate mobile/immobile mass transport equations Advances in Water Resources. 32: 532-539. DOI: 10.1016/J.Advwatres.2009.01.002  0.387
2008 Kelly JF, McGough RJ, Meerschaert MM. Analytical time-domain Green's functions for power-law media. The Journal of the Acoustical Society of America. 124: 2861-72. PMID 19045774 DOI: 10.1121/1.2977669  0.375
2008 Zhang Y, Meerschaert MM, Baeumer B. Particle tracking for time-fractional diffusion. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 78: 036705. PMID 18851187 DOI: 10.1103/Physreve.78.036705  0.345
2008 Meerschaert M, Wu D, Xiao Y. Local times of multifractional Brownian sheets Bernoulli. 14: 865-898. DOI: 10.3150/08-Bej126  0.35
2008 Kelly J, Meerschaert M, McGough R. Time‐domain three‐dimensional Green’s functions for power law media. The Journal of the Acoustical Society of America. 124: 2446-2446. DOI: 10.1121/1.4808957  0.337
2008 Reeves DM, Benson DA, Meerschaert MM, Scheffler HP. Transport of conservative solutes in simulated fracture networks: 2. Ensemble solute transport and the correspondence to operator-stable limit distributions Water Resources Research. 44. DOI: 10.1029/2008Wr006858  0.34
2008 Meerschaert MM, Zhang Y, Baeumer B. Tempered anomalous diffusion in heterogeneous systems Geophysical Research Letters. 35. DOI: 10.1029/2008Gl034899  0.389
2008 Monnig ND, Benson DA, Meerschaert MM. Ensemble solute transport in two-dimensional operator-scaling random fields Water Resources Research. 44. DOI: 10.1029/2007Wr005998  0.344
2008 Meerschaert MM, Scheffler HP. Triangular array limits for continuous time random walks Stochastic Processes and Their Applications. 118: 1606-1633. DOI: 10.1016/J.Spa.2007.10.005  0.439
2008 Anderson PL, Kavalieris L, Meerschaert MM. Innovations algorithm asymptotics for periodically stationary time series with heavy tails Journal of Multivariate Analysis. 99: 94-116. DOI: 10.1016/J.Jmva.2007.02.005  0.349
2008 Meerschaert MM, Nane E, Xiao Y. Large deviations for local time fractional Brownian motion and applications Journal of Mathematical Analysis and Applications. 346: 432-445. DOI: 10.1016/J.Jmaa.2008.05.087  0.356
2008 Baeumer B, Kovács M, Meerschaert MM. Numerical solutions for fractional reaction-diffusion equations Computers and Mathematics With Applications. 55: 2212-2226. DOI: 10.1016/J.Camwa.2007.11.012  0.401
2008 Wheatcraft SW, Meerschaert MM. Fractional conservation of mass Advances in Water Resources. 31: 1377-1381. DOI: 10.1016/J.Advwatres.2008.07.004  0.358
2007 Baeumer B, Kovács M, Meerschaert MM. Fractional reproduction-dispersal equations and heavy tail dispersal kernels. Bulletin of Mathematical Biology. 69: 2281-97. PMID 17546475 DOI: 10.1007/S11538-007-9220-2  0.422
2007 Anderson PL, Tesfaye YG, Meerschaert MM. Fourier-PARMA Models and Their Application to River Flows Journal of Hydrologic Engineering. 12: 462-472. DOI: 10.1061/(Asce)1084-0699(2007)12:5(462)  0.377
2007 Benson DA, Schumer R, Meerschaert MM. Recurrence of extreme events with power-law interarrival times Geophysical Research Letters. 34. DOI: 10.1029/2007Gl030767  0.37
2007 Zhang Y, Benson DA, Meerschaert MM, LaBolle EM. Space-fractional advection-dispersion equations with variable parameters: Diverse formulas, numerical solutions, and application to the Macrodispersion Experiment site data Water Resources Research. 43. DOI: 10.1029/2006Wr004912  0.429
2007 Baeumer B, Meerschaert MM. Fractional diffusion with two time scales Physica a: Statistical Mechanics and Its Applications. 373: 237-251. DOI: 10.1016/J.Physa.2006.06.014  0.455
2007 Tadjeran C, Meerschaert MM. A second-order accurate numerical method for the two-dimensional fractional diffusion equation Journal of Computational Physics. 220: 813-823. DOI: 10.1016/J.Jcp.2006.05.030  0.406
2006 Zhang Y, Benson DA, Meerschaert MM, LaBolle EM, Scheffler HP. Random walk approximation of fractional-order multiscaling anomalous diffusion. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 74: 026706. PMID 17025566 DOI: 10.1103/Physreve.74.026706  0.417
2006 Kovács M, Meerschaert M. Ultrafast subordinators and their hitting times Publications De L'Institut Mathematique. 80: 193-206. DOI: 10.2298/Pim0694193K  0.442
2006 Kozubowski TJ, Meerschaert MM, Podgórski K. Fractional Laplace motion Advances in Applied Probability. 38: 451-464. DOI: 10.1239/Aap/1151337079  0.448
2006 Aban IB, Meerschaert MM, Panorska AK. Parameter estimation for the truncated Pareto distribution Journal of the American Statistical Association. 101: 270-277. DOI: 10.1198/016214505000000411  0.347
2006 Zhang Y, Benson DA, Meerschaert MM, LaBolle EM, Scheffler H. Publisher's Note: Random walk approximation of fractional-order multiscaling anomalous diffusion [Phys. Rev. E74, 026706 (2006)] Physical Review E. 74. DOI: 10.1103/Physreve.74.039901  0.344
2006 Kohlbecker MV, Wheatcraft SW, Meerschaert MM. Heavy-tailed log hydraulic conductivity distributions imply heavy-tailed log velocity distributions Water Resources Research. 42. DOI: 10.1029/2004Wr003815  0.353
2006 Tesfaye YG, Meerschaert MM, Anderson PL. Identification of periodic autoregressive moving average models and their application to the modeling of river flows Water Resources Research. 42. DOI: 10.1029/2004Wr003772  0.308
2006 Benson DA, Meerschaert MM, Baeumer B, Scheffler HP. Aquifer operator scaling and the effect on solute mixing and dispersion Water Resources Research. 42. DOI: 10.1029/2004Wr003755  0.392
2006 Meerschaert MM, Scheffler HP. Stochastic model for ultraslow diffusion Stochastic Processes and Their Applications. 116: 1215-1235. DOI: 10.1016/J.Spa.2006.01.006  0.435
2006 Meerschaert MM, Scalas E. Coupled continuous time random walks in finance Physica a: Statistical Mechanics and Its Applications. 370: 114-118. DOI: 10.1016/J.Physa.2006.04.034  0.472
2006 Meerschaert MM, Mortensen J, Wheatcraft SW. Fractional vector calculus for fractional advection-dispersion Physica a: Statistical Mechanics and Its Applications. 367: 181-190. DOI: 10.1016/J.Physa.2005.11.015  0.375
2006 Tadjeran C, Meerschaert MM, Scheffler HP. A second-order accurate numerical approximation for the fractional diffusion equation Journal of Computational Physics. 213: 205-213. DOI: 10.1016/J.Jcp.2005.08.008  0.425
2006 Meerschaert MM, Scheffler HP, Tadjeran C. Finite difference methods for two-dimensional fractional dispersion equation Journal of Computational Physics. 211: 249-261. DOI: 10.1016/J.Jcp.2005.05.017  0.397
2006 Meerschaert MM, Tadjeran C. Finite difference approximations for two-sided space-fractional partial differential equations Applied Numerical Mathematics. 56: 80-90. DOI: 10.1016/J.Apnum.2005.02.008  0.394
2006 Yong Z, Benson DA, Meerschaert MM, Scheffler HP. On using random walks to solve the space-fractional advection-dispersion equations Journal of Statistical Physics. 123: 89-110. DOI: 10.1007/S10955-006-9042-X  0.407
2005 Clarke DD, Meerschaert MM, Wheatcraft SW. Fractal travel time estimates for dispersive contaminants. Ground Water. 43: 401-7. PMID 15882331 DOI: 10.1111/J.1745-6584.2005.0025.X  0.388
2005 Anderson PL, Meerschaert MM. Parameter estimation for periodically stationary time series Journal of Time Series Analysis. 26: 489-518. DOI: 10.1111/J.1467-9892.2005.00428.X  0.342
2005 Meerschaert MM, Scheffler HP. Limit theorems for continuous time random walks with slowly varying waiting times Statistics and Probability Letters. 71: 15-22. DOI: 10.1016/J.Spl.2004.10.030  0.417
2005 Baeumer B, Benson DA, Meerschaert MM. Advection and dispersion in time and space Physica a: Statistical Mechanics and Its Applications. 350: 245-262. DOI: 10.1016/J.Physa.2004.11.008  0.431
2005 Kozubowski TJ, Meerschaert MM, Panorska AK, Scheffler HP. Operator geometric stable laws Journal of Multivariate Analysis. 92: 298-323. DOI: 10.1016/J.Jmva.2003.09.004  0.319
2004 Meerschaert MM, Scheffler HP. Limit theorems for continuous-time random walks with infinite mean waiting times Journal of Applied Probability. 41: 623-638. DOI: 10.1239/Jap/1091543414  0.47
2004 Becker-Kern P, Meerschaert MM, Scheffler HP. Limit theorem for continuous-time random walks with two time scales Journal of Applied Probability. 41: 455-466. DOI: 10.1239/Jap/1082999078  0.441
2004 Becker-Kern P, Meerschaert MM, Scheffler HP. Limit theorems for coupled continuous time random walks Annals of Probability. 32: 730-756. DOI: 10.1214/Aop/1079021462  0.45
2004 Benson DA, Tadjeran C, Meerschaert MM, Farnham I, Pohll G. Radial fractional-order dispersion through fractured rock Water Resources Research. 40: 1-9. DOI: 10.1029/2004Wr003314  0.387
2004 Meerschaert MM, Kozubowski TJ, Molz FJ, Lu S. Fractional Laplace model for hydraulic conductivity Geophysical Research Letters. 31: L08501 1-4. DOI: 10.1029/2003Gl019320  0.42
2004 Aban IB, Meerschaert MM. Generalized least-squares estimators for the thickness of heavy tails Journal of Statistical Planning and Inference. 119: 341-352. DOI: 10.1016/S0378-3758(02)00419-6  0.309
2004 Meerschaert MM, Tadjeran C. Finite difference approximations for fractional advection-dispersion flow equations Journal of Computational and Applied Mathematics. 172: 65-77. DOI: 10.1016/J.Cam.2004.01.033  0.39
2003 Schumer R, Benson DA, Meerschaert MM, Baeumer B. Fractal mobile/immobile solute transport Water Resources Research. 39: 1296. DOI: 10.1029/2003Wr002141  0.409
2003 Schumer R, Benson DA, Meerschaert MM, Baeumer B. Multiscaling fractional advection‐dispersion equations and their solutions Water Resources Research. 39. DOI: 10.1029/2001Wr001229  0.437
2003 Schumer R, Benson DA, Meerschaert MM, Baeumer B. Multiscaling fractional advection-dispersion equations and their solutions Water Resources Research. 39.  0.329
2002 Meerschaert MM, Benson DA, Scheffler HP, Becker-Kern P. Governing equations and solutions of anomalous random walk limits. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 66: 060102. PMID 12513258 DOI: 10.1103/Physreve.66.060102  0.443
2002 Meerschaert MM, Benson DA, Scheffler HP, Baeumer B. Stochastic solution of space-time fractional diffusion equations. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 65: 041103. PMID 12005802 DOI: 10.1103/Physreve.65.041103  0.435
2002 Meerschaert M, Sepanski S. Regular variation and the functional central limit theorem for heavy tailed random vectors Publications De L'Institut Mathematique. 71: 55-62. DOI: 10.2298/Pim0271055M  0.38
2002 Herrick MG, Benson DA, Meerschaert MM, McCall KR. Hydraulic conductivity, velocity, and the order of the fractional dispersion derivative in a highly heterogeneous system Water Resources Research. 38: 91-913. DOI: 10.1029/2001Wr000914  0.357
2001 Schumer R, Benson DA, Meerschaert MM, Wheatcraft SW. Eulerian derivation of the fractional advection-dispersion equation Journal of Contaminant Hydrology. 48: 69-88. PMID 11291482 DOI: 10.1016/S0169-7722(00)00170-4  0.403
2001 Meerschaert MM, Benson DA, Baeumer B. Operator Lévy motion and multiscaling anomalous diffusion Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 63: 1-6. DOI: 10.1103/Physreve.63.021112  0.428
2001 Baeumer B, Benson DA, Meerschaert MM, Wheatcraft SW. Subordinated advection-dispersion equation for contaminant transport Water Resources Research. 37: 1543-1550. DOI: 10.1029/2000Wr900409  0.427
2001 Benson DA, Schumer R, Meerschaert MM, Wheatcraft SW. Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests Transport in Porous Media. 42: 211-240. DOI: 10.1007/978-94-017-1278-1_11  0.432
2001 Benson DA, Schumer R, Meerschaert MM, Wheatcraft SW. Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests Transport in Porous Media. 42: 211-240.  0.324
2000 Meerschaert MM, Scheffler HP. Moving averages of random vectors with regularly varying tails Journal of Time Series Analysis. 21: 297-328. DOI: 10.1111/1467-9892.00187  0.352
2000 Benson DA, Wheatcraft SW, Meerschaert MM. The fractional-order governing equation of Levy motion Water Resources Research. 36: 1413-1423. DOI: 10.1029/2000Wr900032  0.443
2000 Benson DA, Wheatcraft SW, Meerschaert MM. Application of a fractional advection-dispersion equation Water Resources Research. 36: 1403-1412. DOI: 10.1029/2000Wr900031  0.423
1999 Meerschaert MM, Benson DA, Bäumer B. Multidimensional advection and fractional dispersion. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59: 5026-8. PMID 11969457 DOI: 10.1103/Physreve.59.5026  0.448
1999 Whiting WB, Vasquez VR, Meerschaert MM. Techniques for assessing the effects of uncertainties in thermodynamic models and data Fluid Phase Equilibria. 158: 627-641. DOI: 10.1016/S0378-3812(99)00054-0  0.313
1999 Meerschaert MM, Scheffler HP. Spectral decomposition for operator self-similar processes and their generalized domains of attraction Stochastic Processes and Their Applications. 84: 71-80. DOI: 10.1016/S0304-4149(99)00048-4  0.333
1999 Anderson PL, Meerschaert MM, Vecchia AV. Innovations algorithm for periodically stationary time series Stochastic Processes and Their Applications. 83: 149-169. DOI: 10.1016/S0304-4149(99)00027-7  0.35
1999 Meerschaert MM, Scheffler HP. Moment estimator for random vectors with heavy tails Journal of Multivariate Analysis. 71: 145-159. DOI: 10.1006/Jmva.1999.1835  0.303
1999 Meerschaert MM, Benson DA, Bäumer B. Multidimensional advection and fractional dispersion Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 59: 5026-5028.  0.337
1998 Anderson PL, Meerschaert MM. Modeling river flows with heavy tails Water Resources Research. 34: 2271-2280. DOI: 10.1029/98Wr01449  0.328
1998 Meerschaert MM, Scheffler HP. A simple robust estimation method for the thickness of heavy tails Journal of Statistical Planning and Inference. 71: 19-34. DOI: 10.1016/S0378-3758(98)00093-7  0.324
1997 Anderson PL, Meerschaert MM. Periodic moving averages of random variables with regularly varying tails Annals of Statistics. 25: 771-785. DOI: 10.1214/Aos/1031833673  0.371
1996 Meerschaert MM, Scheffler HP. Generalized domains of semistable attraction of nonnormal laws Journal of Applied Analysis. 2: 203-215. DOI: 10.1515/Jaa.1996.203  0.327
1996 Meerschaert MM, Scheffler HP. Series representation for semistable laws and their domains of semistable attraction Journal of Theoretical Probability. 9: 931-959. DOI: 10.1007/Bf02214258  0.334
1994 Meerschaert MM. Norming operators for generalized domains of attraction Journal of Theoretical Probability. 7: 793-798. DOI: 10.1007/Bf02214372  0.307
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