PUBLICATIONS-PREPRINTS
BOOKS
1.
Multiscale Methods: Averaging
and Homogenization. Texts in Applied
Mathematics, vol. 53. Springer, 2008.
PREPRINTS
2.
Generalized Dynamical Density
Functional Theory: Inertia and Hydrodynamic Interactions (with B. Goddard, A. Nold, N.
Savva, S. Kalliadasis).
Submitted, February 2012.
3.
Upscaled phase-field models
for interfacial dynamics in strongly heterogeneous domains (with M.
Schmuck, M. Pradas Gene, S.
Kalliadasis). Submitted, January 2012.
4.
Semi-Parametric Drift and
Diffusion Estimation for Multiscale Diffusions (with S. Krumcheid,
S. Kalliadasis). Submitted, November 2011.
5.
A New Mode Reduction Strategy for the Generalized
Kuramoto-Sivashinsky Equation (with M. Schmuck, M. Pradas Gene, S.
Kalliadasis). Submitted, November 2011.
PUBLICATIONS IN REFEREED JOURNALS
6.
The Overdamped Limit of dynamic Density Functional Theory:
Rigorous Results (with B. Goddard and S. Kalliadasis). SIAM
J. MMS, to appear (2012).
7.
Additive Noise Effects in Active Nonlinear Spatially Extended
Systems (with M. Pradas Gene, D. Tseluiko, S. Kalliadasis, D.T.
Papageorgiou). Eur. J. Appl. Math., to appear (2012).
8.
Numerical Methods for
Stochastic Partial Differential Equations with Multiple Scales (with
A. Abdulle). J. Comp. Phys, 231(6) pp.
2482–2497 (2012).
9.
Exponential Return to Equilibrium for Hypoelliptic
Quadratic Systems (with M. Ottobre and K. Pravda-Starov). J. Func.
Analysis 262(9) pp. 4000-4039 (2012).
10.
Noise
induced state transitions, intermittency and universality in the noisy
Kuramoto-Sivashinksy equation. (With M. Pradas Gene, D. Tseluiko, S.
Kalliadasis, D.T. Papageorgiou). Phys. Rev. Lett. 106, 060602 (2011).
11.
Asymptotic Analysis for the Generalized Langevin Equation.
(with M. Ottobre) Nonlinearity, 24
(2011) 1629-1653.
12.
Contact lines over random topographical substrates. Part 2. Dynamics
(with N. Savva and S. Kalliadasis). J. Fluid Mech., 672 pp. 384-410 (2011).
13.
Contact lines over random topographical substrates. Part 1. Statics
(with N. Savva and S. Kalliadasis). J. Fluid Mech., 672 pp. 358-383 (2011).
14. Asymptotic Analysis for Foreign Exhange Derivatives
with Stochastic Volatility ( With C.
Cuthbertson, A. Rafailidis and P. Wiberg). Int. J. Theor. & Appl. Finance, 13(7) 1131-1147 (2010).
15.
Asymptotic
Analysis of the Green-Kubo Formula. IMA J. Appl. Math. 75(6) 951-967 (2010).
16.
Two-dimensional droplet
spreading over random topographical substrates (with N. Savva and S.
Kalliadasis). Phys. Rev. Lett. 104, 084501 (2010).
17.
Estimating
Eddy Diffusivities from Noisy Lagrangian Observations (with C.J.
Cotter). Comm. Math. Sci. 7(4), pp. 805-838 (2009).
18.
Frequency
Domain Estimation of Integrated Volatility for Ito Processes in the Presence of
Market-Microstructure Noise. (with A. Sykulski and S. Olhede) SIAM
J. MMS, 8(2), pp. 393-427 (2009).
19.
Maximum
Likelihood Drift Estimation for Multiscale Diffusions (with A.
Papavasiliou and A.M. Stuart), Stoch. Proc. Appl. 119(10) 3173-3210 (2009).
20.
Calculating
Effective Diffusivities in the Limit of
Vanishing Molecular Diffusion (with A.M. Stuart and K.C. Zygalakis)
J. Comp. Phys. 228(4) 1030-1055 (2009).
21.
Diffusive
Transport in Periodic Potentials: Underdamped dynamics (with T.
Vogiannou), Fluct. Noise Lett., 8(2) L155-L173 (2008).
22.
From Ballistic to Diffusive
Behavior in Periodic Potentials. (with M. Hairer), J. Stat. Phys. 131(1) 175-202 (2008).
23.
Optimizing the
Source Distribution in Fluid Mixing. (with J-L Thiffeault),
Physica D, 237(7) 918-929 (2008).
24.
Homogenization
for Inertial Particles in a Random Flow. (with A.M. Stuart and
K.C. Zygalakis), Comm. Math. Sci. 5(3) 507-531 (2007).
25.
Multiscale
Analysis for SPDEs with Quadratic Nonlinearities. (with D.
Blomker and M. Hairer), Nonlinearity 20 1721-1744 (2007).
26.
Estimates for
the Two-Dimensional Navier-Stokes Equations in Terms of the Reynolds Number. (
With J.D. Gibbon ), J. Math. Phys. 48, 065202 (2007).
27.
Parameter Estimation for
Multiscale Diffusions. ( With A.M. Stuart ), J. Stat. Phys.
127(4) 741-781, (2007).
28.
A Multiscale Approach to Brownian Motors. Physics
Letters A, 344 (2005) 331-345.
29.
Periodic Homogenization for Inertial Particles. (
With A.M. Stuart), Physica D 204 (3-4) 161-187, (2005).
30.
Modulation Equations: Stochastic Bifurcation in Large
Domains . ( With D. Bloemker and M. Hairer), Comm. Math. Phys.
258 (2005) 479-512.
31.
Analysis of White Noise Limits for Stochastic Systems
with two Fast Relaxation Times. (with A.M.
Stuart), SIAM J. MMS 4(1) 1-35, (2005).
32.
Periodic Homogenization for Hypoelliptic Diffusions. (with
M. Hairer), J. Stat. Phys. 117 no. 1/2 (2004), 261-279.
33.
Ito versus Stratonovich White Noise Limits for Systems with Inertia and
Colored Multiplicative Noise. (with R. Kupferman and A.M.
Stuart), Phys. Rev. E, 70 036120 (2004).
34.
White Noise Limits for Inertial Particles in a Random
Field. (with A.M. Stuart), SIAM J. MMS 1(4), 527--553, (2003).
35.
A Perturbation Based Numerical Method for Solving a Three
Dimensional Axisymmetric Indentation Problem. (with M.H.
Holmes), J. Eng. Math., 43 (2002) 1--17.
36.
Riemannian Curvature and Monoparametric Families of
Trajectories. (with G. Bozis), Inverse Problems, 15 (1999)
141--153.
REFEREED CONFERENCE PROCEEDINGS, BOOK CHAPTERS, EXTENDED ABSTRACTS
37.
Markovian Approximation of Open Classical
Systems (Oberwolfach Reports, 2012).
38.
Multiscale Modelling and Inverse Problems (with J. Nolen and
A.M. Stuart). in Numerical Analysis of Multiscale Problems, Edited by I.G. Graham, T. Hou, O. Lakkis
and R. Scheichl, Lecture Notes in Computational Science and Engineering, Vol.
83, Springer, 2012.
39.
Parameter
Estimation for Multiscale Diffusions: an Overview. (with Y. Pokern
and A.M. Stuart) in Statistical Methods for Stochastic Differential Equations edited by
M. Kessler, A. Lindner, M. Sorensen, 2012.
40.
Some
Remarks on Stabilization by Additive Noise (with D. Blomker and M.
Hairer) in Stochastic
Partial Differential Equations and Applications}, Edited by G. Da Prato and
L. Tubaro, Quaderni di Matematica,
vol 25,pp. 37--50, 2011.
41.
Effective
Transport Properties for Flashing Ratchets Using Homogenization Theory.
(with J.C. Lattore and P.R. Kramer)
PAMM 7(1),
2008: 1080501-1080502.
42.
Monte Carlo
Studies of Effective Diffusivities for Inertial Particles. (
With A.M. Stuart and L. Band), Monte Carlo and quasi-Monte Carlo methods 2004,
431--441, Springer, Berlin, 2006.
43.
Stochastic
Modulation Equations. ( With D. Bloemker and M. Hairer), PAMM 5 (1) 611-612,
(2005).
44.
Stochastic
Swift--Hohenberg Equation Near a Change of Stability. ( With D.
Bloemker and M. Hairer ), Proceedings of Equadiff-11, (2005), pp.
25-37.
THESES, UNPUBLISHED
45.
Homogenized
Transport by a Spatiotemporal Mean Flow with Small--Scale Inhomogeneities. (with
P.R. Kramer), Preprint, November 2002.
46.
Homogenization
Theory for Advection--Diffusion Equations with Mean Flow. PhD
Thesis, May 2002.