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- Brian B. Avants, Charles L. Epstein, Murray Grossman, James C. Gee
- Medical Image Analysis
- 2008

One of the most challenging problems in modern neuroimaging is detailed characterization of neurodegeneration. Quantifying spatial and longitudinal atrophy patterns is an important component of this… (More)

In this paper, we develop a new representation for outgoing solutions to the time harmonic Maxwell equations in unbounded domains in R. This representation leads to a Fredholm integral equation of… (More)

We show that the answer to the question in the title is “very well indeed.” In particular, we prove that, throughout the maximum possible range, the finite Fourier coefficients provide a good… (More)

- Ricky Der, Charles L. Epstein, Joshua B. Plotkin
- Theoretical population biology
- 2011

The Wright-Fisher model of allele dynamics forms the basis for most theoretical and applied research in population genetics. Our understanding of genetic drift, and its role in suppressing the… (More)

- Charles L. Epstein, Leslie Greengard, Andreas Klöckner
- SIAM J. Numerical Analysis
- 2013

- BY CHARLES L. EPSTEIN, Richard B. Melrose, Charles L. Epstein

CONTENTS 1. Introduction 1 2. Fredholm operators and Toeplitz operators on the circle 2 3. Contact and CR-manifolds 5 4. CR-functions and a generalization of Toeplitz operators 10 5.… (More)

Two notions of cobordism are defined for compact CR-manifolds. The weaker notion, complex cobordism realizes two CR-manifolds as the boundary of a complex manifold; in the stronger notion, strict… (More)

- Brian B. Avants, Hallam Hurt, +5 authors James C. Gee
- Pediatric neurology
- 2007

We assess the effects of in utero cocaine and polysubstance exposure on the adolescent caudate nucleus through high-resolution magnetic resonance imaging. Cocaine exposure may compromise the… (More)

We analyze a class of partial differential equations that arise as"backwards Kolmogorov operators"in infinite population limits of the Wright-Fisher models in population genetics and in mathematical… (More)

- David Martin McCandlish, Charles L. Epstein, Joshua B. Plotkin
- Theoretical population biology
- 2015

The formula for the probability of fixation of a new mutation is widely used in theoretical population genetics and molecular evolution. Here we derive a series of identities, inequalities and… (More)