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Published papers
Abrams, D. M., Lobkovsky, A. E., Petroff, A. P., Straub, K. M., McElroy, B., Mohrig, D. C., Kudrolli, A, and Rothman, D. H.,
Growth laws for channel networks incised by groundwater flow,
Nature Geoscience 2, 193-196, March 2009.
Smith, B., Kudrolli, A., Lobkovsky, A.E., and Rothman, D.H.,
Channel erosion due to subsurface flow,
Chaos 18, Art. No. 041105 (1 page), DOI:10.1063/1.2997333, December 31, 2008.
Lobkovsky, A. E., Orpe, A. V., Molloy, R., Kudrolli, A., and Rothman, D. H., Erosion of a granular bed driven by laminar fluid flow, Journal of Fluid Mechanics 605, June 25, 2008
Straub, K.M, Jerolmack, D.J., Mohrig, D., and Rothman, D.H.,
Channel network scaling laws in submarine basins, Geophysical Research Letters 34, L12613, doi:10.1029/2007GL030089, June 2007.
Lobkovsky, A.E., Smith, B.E., Kudrolli, A., Mohrig, D.C., and Rothman, D.H., "Erosive dynamics of channels incised by subsurface water flow," Journal of Geophysical Research-Earth Surface 112 Art. No. F03S12, March 3, 2007.
Lobkovsky, A.E., Jensen, B., Kudrolli, A., and Rothman, D.H.,
``Threshold phenomena in erosion driven by subsurface flow,''
Journal of Geophysical Research-Earth Surface 109, Art. No. F04010, December 24, 2004.
Manuscript form: [abstract] [pdf]
Schorghofer, N., Jensen, B., Kudrolli, A., and Rothman, D.H.,
``Spontaneous channelization in permeable ground: Theory, experiment, and observation''
Journal of Fluid Mechanics, 503, 357-374, March 2004.
Manuscript form: [abstract] [pdf]
Schorghofer, N. and Rothman, D.H.,
``Acausal relations between topographic slope and drainage area''
Geophysical Research Letters, 29, 10.1029/2002GL015144, 2002.
Preprint form: [abstract] [pdf]
Aharonson O., Zuber, M. T., Rothman, D. H., Schorghofer, N., and Whipple, K.,
``Drainage basins and channel incision on Mars''
Proceedings of the National Academy of Sciences USA 99, 1780-1783, February 19, 2002.
Preprint form: [abstract] [pdf]
Aharonson O., M. T. Zuber, and D. H. Rothman,
``Statistics of Mars' Topography from the Mars Orbiter Laser Altimeter: Slopes, Correlations, and Physical Models.''
Journal of Geophysical Research, 106, 23723-23735, October 25, 2001 .
Preprint form: [pdf]
Chan, K. and Rothman, D.H.,
``Coupled length scales in eroding landscapes.''
Physical Review E, 63, 055102(R) (4 pages), May 2001.
Preprint form: [abstract] [ps (gzipped)] [pdf]
Schorghofer, N. and Rothman D.H.,
``Basins of attraction on random topography''
Physical Review E, 63, 026112 (7 pages), February 2001.
Preprint form: [abstract] [ps] [ps (gzipped)]
Dodds, P.S. and Rothman D.H.,
``Geometry of River Networks III: Characterization of Component Connectivity,''
Physical Review E, 63, 016117 (10 pages), January 2001.
Preprint form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman D.H.,
``Geometry of River Networks II: Distributions of Component Size and Number,''
Physical Review E, 63, 016116 (15 pages), January 2001.
Preprint form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman D.H.,
``Geometry of River Networks I: Scaling, Fluctuations, and Deviations,''
Physical Review E, 63, 016115 (13 pages), January 2001.
Preprint form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman, D.H., Scaling, universality, and geomorphology, Annu. Rev. Earth Planet. Sci, 28, 571-610, 2000.
Manuscript form: [abstract] [ps] [ps (gzipped)] [pdf]
Dodds, P.S. and Rothman, D.H.,
``Unified view of scaling laws for river networks,''
Physical Review E, 59, 4865-4877, May, 1999.
Preprint form: [abstract] [ps] [ps (gzipped)] [pdf]
Pastor-Satorras, R. and Rothman, D.H.,
``Scaling of a slope: the erosion of tilted landscapes,''
Journal of Statistical Physics, 93, 477-500, November, 1998.
Pastor-Satorras, R. and Rothman, D.H.,
``Stochastic equation for the erosion of inclined topography,''
Physical Review Letters 80, 4349-4352, May 11, 1998.