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Now showing items 1-10 of 93

#### Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation

(Signal Processing Magazine, IEEE, 2015-07)

Quantitative canvas weave analysis has many applications in art investigations of
paintings, including dating, forensics, and canvas rollmate identification. Traditionally,
canvas analysis is based on X-radiographs. Prior ...

#### Multiscale integrators for stochastic differential equations and irreversible Langevin samplers

(2017-04-23)

We study multiscale integrator numerical schemes for a class of stiff stochastic differential
equations (SDEs). We consider multiscale SDEs that behave as diffusions on graphs
as the stiffness parameter goes to its limit. ...

#### Riesz Energy on the Torus: Regularity of Minimizers

(2017-11-30)

We study sets of $N$ points on the $d-$dimensional torus $\mathbb{T}^d$ minimizing
interaction functionals of the type \[ \sum_{i, j =1 \atop i \neq j}^{N}{ f(x_i -
x_j)}. \] The main result states that for a class of functions ...

#### Methodological and computational aspects of parallel tempering methods in the infinite swapping limit

(2018-02-14)

A variant of the parallel tempering method is proposed in terms of a stochastic switching
process for the coupled dynamics of replica configuration and temperature permutation.
This formulation is shown to facilitate the ...

#### Effective Maxwell equations from time-dependent density functional theory

(Acta Mathematica Sinica, English Series, 2011-01-20)

The behavior of interacting electrons in a perfect crystal under macroscopic external
electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic
electric and magnetic fields are derived starting ...

#### Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems

(Physical Review B - Condensed Matter and Materials Physics, 2009-03-03)

We propose a multipole representation of the Fermi-Dirac function and the Fermi operator
and use this representation to develop algorithms for electronic structure analysis
of metallic systems. The algorithm is quite simple ...

#### Synthesis of copper nanocatalysts with tunable size using diblock copolymer solution micelles

(Journal of Physical Chemistry C, 2010-04-08)

Self-assembled solution micelles prepared from polystyrene-b-poly(4- vinylpyridine)
(PS-b-P4VP) and polystyrene-b-poly(2-vinylpyridine) (PS-b-P2VP), have been employed
as templates to synthesize copper nanocatalysts which ...

#### Fractional stochastic differential equations satisfying fluctuation-dissipation theorem

(2017-04-23)

We consider in this work stochastic differential equation (SDE) model for particles
in contact with a heat bath when the memory effects are non-negligible. As a result
of the fluctuation-dissipation theorem, the differential ...

#### Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis

(Journal of the Mechanics and Physics of Solids, 2016-04-01)

© 2016 Elsevier Ltd. All rights reserved.We develop a variational optimization method
for crystal analysis in atomic resolution images, which uses information from a 2D
synchrosqueezed transform (SST) as input. ...