Optimal estimation of diffusion coefficients from single-particle trajectories

CL Vestergaard, PC Blainey, H Flyvbjerg - Physical Review E, 2014 - APS
How does one optimally determine the diffusion coefficient of a diffusing particle from a
single-time-lapse recorded trajectory of the particle? We answer this question with an …

Fourier analysis of stationary time series in function space

VM Panaretos, S Tavakoli - 2013 - projecteuclid.org
Fourier analysis of stationary time series in function space Page 1 The Annals of Statistics 2013,
Vol. 41, No. 2, 568–603 DOI: 10.1214/13-AOS1086 © Institute of Mathematical Statistics, 2013 …

[PDF][PDF] Asymptotic theory for stationary processes

WB Wu - Stat. Interface, 2011 - economics.yale.edu
We present a systematic asymptotic theory for statistics of stationary time series. In particular,
we consider properties of sample means, sample covariance functions, covariance matrix …

Covariance matrix estimation for stationary time series

H **ao, WB Wu - 2012 - projecteuclid.org
Covariance matrix estimation for stationary time series Page 1 The Annals of Statistics 2012,
Vol. 40, No. 1, 466–493 DOI: 10.1214/11-AOS967 © Institute of Mathematical Statistics, 2012 …

[ΒΙΒΛΙΟ][B] Functional Gaussian approximation for dependent structures

F Merlevède, M Peligrad, S Utev - 2019 - books.google.com
Functional Gaussian Approximation for Dependent Structures develops and analyses
mathematical models for phenomena that evolve in time and influence each another. It …

Accurate thermal conductivities from optimally short molecular dynamics simulations

L Ercole, A Marcolongo, S Baroni - Scientific reports, 2017 - nature.com
The evaluation of transport coefficients in extended systems, such as thermal conductivity or
shear viscosity, is known to require impractically long simulations, thus calling for a …

Heat transport in insulators from ab initio Green-Kubo theory

S Baroni, R Bertossa, L Ercole, F Grasselli… - Handbook of materials …, 2020 - Springer
Abstract The Green-Kubo theory of thermal transport has long been considered
incompatible with modern simulation methods based on electronic-structure theory, because …

Invariance principles in the theory and computation of transport coefficients

F Grasselli, S Baroni - The European Physical Journal B, 2021 - Springer
In this work, we elaborate on two recently discovered invariance principles, according to
which transport coefficients are, to a large extent, independent of the microscopic definition …

Identifying signal and noise structure in neural population activity with Gaussian process factor models

S Keeley, M Aoi, Y Yu, S Smith… - Advances in neural …, 2020 - proceedings.neurips.cc
Neural datasets often contain measurements of neural activity across multiple trials of a
repeated stimulus or behavior. An important problem in the analysis of such datasets is to …

On the asymptotic distribution for the periodograms of almost periodically correlated (cyclostationary) processes

MR Mahmoudi, MH Heydari, Z Avazzadeh - Digital Signal Processing, 2018 - Elsevier
Almost periodically correlated (APC) processes have almost periodic mean and auto-
covariance functions. These processes have spectral mass on lines parallel to the diagonal …