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This paper is devoted to the theoretical analysis of the zero-temperature string method, a scheme for identifying minimum energy paths (MEP's) on a given energy landscape. By definition , MEP's are curves connecting critical points on the energy landscape which are everywhere tangent to the gradient of the potential except possibly at critical points. In… (More)

- Maria Cameron, James Sethian
- 2006

SUMMARY We address the problem of time to depth conversion of time migrated seismic images and show that the Dix velocities estimated from time migration velocities are the true seismic velocities divided by the geometrical spreading of image rays. We pose an inverse problem: to find seismic velocities from Dix velocities and suggest two algorithms for… (More)

A set of analytical and computational tools based on transition path theory (TPT) is proposed to analyze flows in complex networks. Specifically, TPT is used to study the statistical properties of the reactive trajectories by which transitions occur between specific groups of nodes on the network. Sampling tools are built upon the outputs of TPT that allow… (More)

- Maria Cameron, Sergey Fomel, James Sethian
- 2007

We address the problem of estimating sound speeds (seismic velocities) inside the earth which is necessary for obtaining seismic images in regular Cartesian coordinates. The main goals are to develop algorithms to convert time migration velocities to true seismic velocities, and to convert time-migrated images to depth images in regular Cartesian… (More)

- Maria Cameron
- NHM
- 2014

The concept of metastability has caused a lot of interest in recent years. The spectral decomposition of the generator matrix of a stochastic network exposes all of the transition processes in the system. The assumption of the existence of a low lying group of eigenvalues separated by a spectral gap, leading to factorization of the dynamics, has become a… (More)

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