Charles Epstein - Publications

Affiliations: 
Mathematics University of Pennsylvania, Philadelphia, PA, United States 
Area:
Partial Differential Equations, Hyperbolic Geometry, Spectral Theory, Complex Analysis, Mathematics of Medical Imaging

56 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
2016 Busby M, Xue C, Li C, Farjoun Y, Gienger E, Yofe I, Gladden A, Epstein CB, Cornett EM, Rothbart SB, Nusbaum C, Goren A. Systematic comparison of monoclonal versus polyclonal antibodies for mapping histone modifications by ChIP-seq. Epigenetics & Chromatin. 9: 49. PMID 27826357 DOI: 10.1186/s13072-016-0100-6  0.32
2016 Epstein CL, Greengard L, Hagstrom T. On the stability of time-domain integral equations for acoustic wave propagation Discrete and Continuous Dynamical Systems- Series A. 36: 4367-4382. DOI: 10.3934/dcds.2016.36.4367  1
2015 Kundaje A, Meuleman W, Ernst J, Bilenky M, Yen A, Heravi-Moussavi A, Kheradpour P, Zhang Z, Wang J, Ziller MJ, Amin V, Whitaker JW, Schultz MD, Ward LD, ... ... Epstein CB, et al. Integrative analysis of 111 reference human epigenomes. Nature. 518: 317-30. PMID 25693563 DOI: 10.1038/nature14248  0.32
2015 McCandlish DM, Epstein CL, Plotkin JB. Formal properties of the probability of fixation: identities, inequalities and approximations. Theoretical Population Biology. 99: 98-113. PMID 25450112 DOI: 10.1016/j.tpb.2014.11.004  1
2015 Epstein CL, Pop CA. Regularity for the Supercritical Fractional Laplacian with Drift Journal of Geometric Analysis. DOI: 10.1007/s12220-015-9590-x  1
2015 Epstein CL, Greengard L, O'Neil M. Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields Communications On Pure and Applied Mathematics. 68: 2237-2280. DOI: 10.1002/cpa.21560  1
2014 McCandlish DM, Epstein CL, Plotkin JB. The inevitability of unconditionally deleterious substitutions during adaptation. Evolution; International Journal of Organic Evolution. 68: 1351-64. PMID 24410330 DOI: 10.1111/evo.12350  1
2013 Epstein CL, Greengard L, Kl̈Ockner A. On the convergence of local expansions of layer potentials Siam Journal On Numerical Analysis. 51: 2660-2679. DOI: 10.1137/120902859  1
2013 Epstein CL, Gimbutas Z, Greengard L, Klockner A, O'Neil M. A consistency condition for the vector potential in multiply-connected domains Ieee Transactions On Magnetics. 49: 1072-1076. DOI: 10.1109/TMAG.2012.2223480  1
2013 Epstein CL, Mazzeo R. Analysis of degenerate diffusion operators arising in population biology Developments in Mathematics. 28: 203-216. DOI: 10.1007/978-1-4614-4075-8_8  1
2013 Epstein CL, Greengard L, O'Neil M. Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II Communications On Pure and Applied Mathematics. 66: 753-789. DOI: 10.1002/cpa.21420  1
2013 Epstein CL, Mazzeo R. Degenerate diffusion operators arising in population biology Annals of Mathematics Studies. 1-324.  1
2012 Der R, Epstein C, Plotkin JB. Dynamics of neutral and selected alleles when the offspring distribution is skewed. Genetics. 191: 1331-44. PMID 22661323 DOI: 10.1534/genetics.112.140038  1
2012 Li C, Langham MC, Epstein CL, Magland JF, Wu J, Gee J, Wehrli FW. Accuracy of the cylinder approximation for susceptometric measurement of intravascular oxygen saturation. Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine / Society of Magnetic Resonance in Medicine. 67: 808-13. PMID 21858859 DOI: 10.1002/mrm.23034  1
2012 Epstein CL. Addendum to: Subelliptic Spin ℂ Dirac operators, III Annals of Mathematics. 176: 1373-1380. DOI: 10.4007/annals.2012.176.2.12  1
2011 Der R, Epstein CL, Plotkin JB. Generalized population models and the nature of genetic drift. Theoretical Population Biology. 80: 80-99. PMID 21718713 DOI: 10.1016/j.tpb.2011.06.004  1
2011 Epstein C, Carlsson G, Edelsbrunner H. Topological data analysis Inverse Problems. 27. DOI: 10.1088/0266-5611/27/12/120201  1
2010 Epstein CL, Mazzeo R. Wright-fisher diffusion in one dimension Siam Journal On Mathematical Analysis. 42: 568-608. DOI: 10.1137/090766152  1
2010 Epstein CL. The spectrum and pseudospectrum of non-self adjoint pseudodifferential operators Pure and Applied Mathematics Quarterly. 6: 815-827.  1
2009 Langham MC, Magland JF, Epstein CL, Floyd TF, Wehrli FW. Accuracy and precision of MR blood oximetry based on the long paramagnetic cylinder approximation of large vessels. Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine / Society of Magnetic Resonance in Medicine. 62: 333-40. PMID 19526517 DOI: 10.1002/mrm.21981  1
2009 Epstein CL, Magland J. The hard pulse approximation for the AKNS (2 × 2)-system Inverse Problems. 25. DOI: 10.1088/0266-5611/25/10/105006  1
2008 Avants BB, Epstein CL, Grossman M, Gee JC. Symmetric diffeomorphic image registration with cross-correlation: evaluating automated labeling of elderly and neurodegenerative brain. Medical Image Analysis. 12: 26-41. PMID 17659998 DOI: 10.1016/j.media.2007.06.004  1
2008 Epstein CL, Schotland J. The bad truth about Laplace's transform Siam Review. 50: 504-520. DOI: 10.1137/060657273  1
2008 Epstein CL. Cobordism, relative indices and stein fillings Journal of Geometric Analysis. 18: 341-368. DOI: 10.1007/s12220-008-9010-6  1
2008 Epstein CL. Subelliptic Spinℂ Dirac operators, III the Atiyah-Weinstein conjecture Annals of Mathematics. 168: 299-365.  1
2008 Epstein CL. Subelliptic Spinℂ Dirac operators, III the Atiyah-Weinstein conjecture Annals of Mathematics. 168: 299-365.  1
2007 Avants BB, Hurt H, Giannetta JM, Epstein CL, Shera DM, Rao H, Wang J, Gee JC. Effects of heavy in utero cocaine exposure on adolescent caudate morphology. Pediatric Neurology. 37: 275-9. PMID 17903672 DOI: 10.1016/j.pediatrneurol.2007.06.012  1
2007 Avants B, Epstein CL, Gee JC. Symmetric shape averaging in the diffeomorphic space 2007 4th Ieee International Symposium On Biomedical Imaging: From Nano to Macro - Proceedings. 636-639. DOI: 10.1109/ISBI.2007.356932  1
2007 Epstein CL. Subelliptic spinℂ dirac operators, II basic estimates Annals of Mathematics. 166: 723-777.  1
2006 Epstein CL. Subelliptic boundary conditions for SpinC-Dirac operators, gluing, relative indices, and tame Fredholm pairs. Proceedings of the National Academy of Sciences of the United States of America. 103: 15364-9. PMID 17032764 DOI: 10.1073/pnas.0605368103  1
2006 Hopper TA, Vasilić B, Pope JM, Jones CE, Epstein CL, Song HK, Wehrli FW. Experimental and computational analyses of the effects of slice distortion from a metallic sphere in an MRI phantom. Magnetic Resonance Imaging. 24: 1077-85. PMID 16997078 DOI: 10.1016/j.mri.2006.04.019  1
2006 Epstein CL, Magland J. A novel technique for imaging with inhomogeneous fields. Journal of Magnetic Resonance (San Diego, Calif. : 1997). 183: 183-92. PMID 16962800 DOI: 10.1016/j.jmr.2006.08.012  1
2006 Avants BB, Hurt H, Giannetta J, Epstein CL, Shera D, Rao H, Wang J, Gee JC. Analyzing effects of intra-uterine cocaine exposure on adolescent brain structure with symmetric diffeomorphisms Proceedings of the Ieee Computer Society Conference On Computer Vision and Pattern Recognition. 2006. DOI: 10.1109/CVPRW.2006.30  1
2006 Epstein CL. Anderson localization, non-linearity and stable genetic diversity Journal of Statistical Physics. 124: 25-46. DOI: 10.1007/s10955-006-9149-0  1
2006 Epstein CL. What is... a bad end? Notices of the American Mathematical Society. 53: 1028-1029.  1
2006 Avants BB, Epstein CL, Gee JC. Geodesic image normalization and temporal parameterization in the space of diffeomorphisms Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 4091: 9-16.  1
2005 Magland J, Epstein CL. Practical pulse synthesis via the discrete inverse scattering transform. Journal of Magnetic Resonance (San Diego, Calif. : 1997). 172: 63-78. PMID 15589409 DOI: 10.1016/j.jmr.2004.09.022  1
2005 Avants BB, Epstein CL, Gee JC. Geodesic image interpolation: Parameterizing and interpolating spatiotemporal images Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 3752: 247-258. DOI: 10.1007/11567646_21  1
2005 Epstein CL. How well does the finite fourier transform approximate the fourier transform? Communications On Pure and Applied Mathematics. 58: 1421-1435. DOI: 10.1002/cpa.20064  1
2004 Magland J, Epstein CL. Exact half pulse synthesis via the inverse scattering transform. Journal of Magnetic Resonance (San Diego, Calif. : 1997). 171: 305-13. PMID 15546757 DOI: 10.1016/j.jmr.2004.09.004  1
2004 Epstein CL. Minimum energy pulse synthesis via the inverse scattering transform. Journal of Magnetic Resonance (San Diego, Calif. : 1997). 167: 185-210. PMID 15040975 DOI: 10.1016/j.jmr.2003.12.014  1
2004 Epstein CL. Magnetic resonance imaging in inhomogeneous fields Inverse Problems. 20: 753-780. DOI: 10.1088/0266-5611/20/3/007  1
2004 Epstein CL. Convergence of the Neumann series in higher norms Communications in Partial Differential Equations. 29: 1429-1436. DOI: 10.1081/PDE-200037760  1
2000 Epstein CL, Ouyang Y. Deformations of open Stein manifolds Communications in Partial Differential Equations. 25: 2333-2351.  1
2000 Epstein CL, Henkin GM. Stability of embeddings for pseudoconcave surfaces and their boundaries Acta Mathematica. 185: 161-237.  1
1998 Epstein C, Melrose R. Contact degree and the index of fourier integral operations Mathematical Research Letters. 5: 363-381.  1
1998 Epstein CL. A relative index on the space of embeddable CR-structures, I Annals of Mathematics. 147: 1-59.  1
1998 Epstein CL. A relative index on the space of embeddable CR-structures, II Annals of Mathematics. 147: 61-91.  1
1996 Bland J, Epstein CL. Embeddable CR-structures and deformations of pseudoconvex surfaces part I: Formal deformations Journal of Algebraic Geometry. 5: 277-368.  1
1992 Epstein CL. CR-structures on three dimensional circle bundles Inventiones Mathematicae. 109: 351-403. DOI: 10.1007/BF01232031  1
1991 Epstein CL, Melrose RB, Mendoza GA. Resolvent of the Laplacian on strictly pseudoconvex domains Acta Mathematica. 167: 1-106. DOI: 10.1007/BF02392446  1
1990 Burns D, Epstein CL. Characteristic numbers of bounded domains Acta Mathematica. 164: 29-71. DOI: 10.1007/BF02392751  1
1989 Epstein CL. Positive harmonic functions on Abelian covers Journal of Functional Analysis. 82: 303-315. DOI: 10.1016/0022-1236(89)90073-6  1
1988 Burns DM, Epstein CL. A global invariant for three dimensional CR-manifolds Inventiones Mathematicae. 92: 333-348. DOI: 10.1007/BF01404456  1
1982 Epstein C, Miranker WL, Rivlin TJ. Ultra-arithmetic II: intervals of polynomials Mathematics and Computers in Simulation. 24: 19-29. DOI: 10.1016/0378-4754(82)90046-5  1
1982 Epstein C, Miranker WL, Rivlin TJ. Ultra-arithmetic I: Function data types Mathematics and Computers in Simulation. 24: 1-18. DOI: 10.1016/0378-4754(82)90045-3  1
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