Publications
Monte Carlo methods, computational methods, sampling
the weighted ensemble method
- R.J. Webber, D. Aristoff, and G. Simpson. A splitting method to reduce MCMC variance arXiv:2011.13899
- D. Aristoff.
An ergodic theorem for the weighted ensemble method
to appear in J. Appl. Prob. 59(1)
- D. Aristoff and D.M. Zuckerman.
Optimizing weighted ensemble sampling of steady states (2020) SIAM Multiscale Model. Simul. 18(2), 646--673
- J. Copperman, D. Aristoff, D.E. Makarov, G. Simpson, and D.M. Zuckerman.
Transient probability currents provide upper and lower bounds on non-equilibrium
steady-state currents... (2019) J. Chem. Phys. 151, 174108
- D. Aristoff.
Analysis and optimization of weighted ensemble sampling (2018) ESAIM: Mathematical Modelling and Numerical Analysis 52(2018), 1219--1238
benchmarking
- D. Aristoff and W. Bangerth. A benchmark for the Bayesian inversion of coefficients in partial differential equations arXiv:2102.07263
the parallel replica method
- D. Aristoff.
Generalizing parallel replica dynamics: trajectory
fragments, asynchronous computing, and PDMPs (2019)
SIAM/ASA Journal on Uncertainty Quantification 7(2),
685--719
- T. Wang, P. Plecháč, and D. Aristoff.
Stationary averaging for multi-scale continuous time Markov chains using parallel replica dynamics
(2018) SIAM Multiscale Model. Simul. 16(1), 1--27
- D. Aristoff.
The parallel replica method for computing equilibrium averages of
Markov chains
(2015) Monte Carlo Methods Appl. 21(4), 255--273
- D. Aristoff, T. Lelièvre, and G. Simpson.
The parallel replica method for
simulating long trajectories of Markov chains (2014) Appl. Math Res. Express 2014(2), 332--352
Markov modeling and kinetic Monte Carlo
- J.D. Russo, D. Aristoff, J. Copperman, G. Simpson, and D.M. Zuckerman.
Unbiased estimation of equilibrium, rates, and committors from Markov state model
analysis arXiv:2105.13402
- D. Aristoff, S. Chill, and G. Simpson.
Analysis of estimators for adaptive Kinetic Monte Carlo
(2016) Comm. App. Math. and Comp. Sci. 11(2), 171--186
milestoning
- D. Aristoff, J.M. Bello-Rivas, and R. Elber.
A mathematical framework for exact milestoning
(2016) SIAM Multiscale Model. Simul.
14(1), 301--322
adaptive multilevel splitting
- D. Aristoff, T. Lelièvre, C. Mayne, and I. Teo.
Adaptive multilevel splitting in molecular dynamics simulations
(2015)
ESAIM: Proceedings and Surveys 48, 215--225
temperature accelerated dynamics
- D. Aristoff and T. Lelièvre.
Mathematical analysis of temperature accelerated dynamics (2014)
SIAM Multiscale Model. Simul. 12(1), 290--317
Random graphs, lattice models, and phase transitions
random graphs
- D. Aristoff and L. Zhu.
On the phase transition curve in a directed exponential random graph model
(2018) Adv. Appl. Prob. 50(1), 272--301
- D. Aristoff and L. Zhu.
Asymptotic structure and singularities in constrained directed graphs
(2015)
Stoch. Proc. Appl. 125(11), 4154--4177
- D. Aristoff and C. Radin.
Emergent structures
in large networks
(2013) J. Appl. Prob. 50, 883--888
percolation
- D. Aristoff.
Percolation of hard disks
(2014) J. Appl. Prob. 51(1),
235--246
phase transitions and emergent structure
- D. Aristoff and L. Zhu.
Lattice gas models with long range interactions
(2017)
J. Math. Phys. 58(2), 023301
- D. Aristoff and C. Radin. Rigidity in
Solids
(2011) J. Stat. Phys. 144, 1247--1255 (with C. Radin)
- D. Aristoff and C. Radin. First
order phase transition in a model of quasicrystals
(2011) J. Phys.
A: Math.
Theor. 44, 255001
- D. Aristoff and C. Radin. Dilatancy transition in a granular model
(2011)
J. Stat. Phys. 143, 215--225
- D. Aristoff and C. Radin. First
order phase transition of a long polymer chain
(2011) J. Phys. A: Math.
Theor. 44, 065004
- D. Aristoff and C. Radin. Random close packing in
a granular model (2010) J. Math. Phys. 51, 113302
- D. Aristoff and C. Radin. Layering in
crumpled sheets
(2010) Europhys. Lett. 91, 56003
- D. Aristoff and C. Radin. Random
loose packing in granular matter
(2009) J. Stat. Phys. 135, 1--23
Grants
2021-2024 Particles and Proxies for Sampling, NSF computational math, DMS-2111277. Role: co-PI with Gideon Simpson.
2018-2021 Stochastic Methods for Complex Systems, NSF computational math, DMS-1818726. Role: co-PI with Gideon Simpson.
2019-2020 High-performance weighted ensemble software for simulation of complex bio-events, NIH 2R01GM115805-05. Role: co-investigator.
2015-2019 Algorithms for Complex Systems, NSF computational math, DMS-1522398.
Role: sole PI.
Open-source code
JuWeightedEnsemble (developed by Felix Jones and Gideon Simpson)
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