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G A Pavliotis

Explore the profile of G A Pavliotis including associated specialties, affiliations and a list of published articles. Areas
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Articles 10
Citations 28
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Recent Articles
1.
Duncan A, Nusken N, Pavliotis G
J Stat Phys . 2020 Feb; 169(6):1098-1131. PMID: 32009676
In this paper we introduce and analyse Langevin samplers that consist of perturbations of the standard underdamped Langevin dynamics. The perturbed dynamics is such that its invariant measure is the...
2.
Ellam L, Girolami M, Pavliotis G, Wilson A
Proc Math Phys Eng Sci . 2018 Jun; 474(2213):20170700. PMID: 29887748
The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this...
3.
Gomes S, Pavliotis G
J Nonlinear Sci . 2018 May; 28(3):905-941. PMID: 29769758
In this paper, we study the combined mean field and homogenization limits for a system of weakly interacting diffusions moving in a two-scale, locally periodic confining potential, of the form...
4.
Duncan A, Kalliadasis S, Pavliotis G, Pradas M
Phys Rev E . 2016 Oct; 94(3-1):032107. PMID: 27739696
We consider the problem of an overdamped Brownian particle moving in multiscale potential with N+1 characteristic length scales: the macroscale and N separated microscales. We show that the coarse-grained dynamics...
5.
Duncan A, Lelievre T, Pavliotis G
J Stat Phys . 2016 Jul; 163:457-491. PMID: 27453589
A standard approach to computing expectations with respect to a given target measure is to introduce an overdamped Langevin equation which is reversible with respect to the target distribution, and...
6.
Krumscheid S, Pradas M, Pavliotis G, Kalliadasis S
Phys Rev E Stat Nonlin Soft Matter Phys . 2015 Nov; 92(4):042139. PMID: 26565200
In many physical, technological, social, and economic applications, one is commonly faced with the task of estimating statistical properties, such as mean first passage times of a temporal continuous process,...
7.
Gomes S, Pradas M, Kalliadasis S, Papageorgiou D, Pavliotis G
Phys Rev E Stat Nonlin Soft Matter Phys . 2015 Sep; 92(2):022912. PMID: 26382481
We present an alternative methodology for the stabilization and control of infinite-dimensional dynamical systems exhibiting low-dimensional spatiotemporal chaos. We show that with an appropriate choice of time-dependent controls we are...
8.
Schmuck M, Pradas M, Kalliadasis S, Pavliotis G
Phys Rev Lett . 2014 Aug; 110(24):244101. PMID: 25165926
We present a new methodology for studying non-Hamiltonian nonlinear systems based on an information theoretical extension of a renormalization group technique using a modified maximum entropy principle. We obtain a...
9.
Pradas M, Tseluiko D, Kalliadasis S, Papageorgiou D, Pavliotis G
Phys Rev Lett . 2011 Mar; 106(6):060602. PMID: 21405452
Consider the effect of pure additive noise on the long-time dynamics of the noisy Kuramoto-Sivashinsky (KS) equation close to the instability onset. When the noise acts only on the first...
10.
Kupferman R, Pavliotis G, STUART A
Phys Rev E Stat Nonlin Soft Matter Phys . 2004 Nov; 70(3 Pt 2):036120. PMID: 15524600
We consider the dynamics of systems in the presence of inertia and colored multiplicative noise. We study the limit where the particle relaxation time and the correlation time of the...