Homepage of Markos A. Katsoulakis
Professor
Department of Mathematics and Statistics ,
UMass, Amherst
710 N. Pleasant Street, Amherst, MA 01003, USA
Room: LGRT 1423G
Tel: (413) 545 1331
Fax: (413) 545 1801
Email: markos [at] math umass edu
Education
Ph.D., Brown University, U.S.A., 1993
B.Sc., National and Kapodistrian University of Athens, Greece, 1987
Recent & Selected publications

The geometry of generalized force matching in coarsegraining and related information metrics,
(with E. Kalligiannaki, V. Harmandaris and P. Plechac), J. Chem. Phys., to appear (2015).

Accelerated Sensitivity Analysis in HighDimensional Stochastic Reaction Networks, (with G. Arampatzis and Y. Pantazis), PLOS ONE, 10, e0130825 (2015).

Parametric sensitivity analysis for stochastic molecular systems using information theoretic metrics, (with A. Tsourtis, Y. Pantazis and V. Harmandaris), J. Chem. Phys., 143, 014116 (2015).

Pathwise Sensitivity Analysis in Transient Regimes,
(with G. Arampatzis and Y. Pantazis),
Stochastic Equations for Complex Systems : Theoretical and Computational Topics,
Springer, Editors: Heinz, Bessaih, pp.105124
(2015).

Goaloriented sensitivity analysis for lattice kinetic Monte Carlo simulations, (with G. Arampatzis), J. Chem. Phys., 140, 124108 (2014).

Parallelization, processor communication and error analysis in lattice kinetic Monte Carlo
, (with G. Arampatzis and P. Plechac), SIAM Num. Analysis, no. 3, pp 11561182, (2014).

Spatial twolevel interacting particle simulations and information theorybased error quantification, (with E. Kalligiannaki and P. Plechac), SIAM Sci. Comp., Vol. 36, No. 2, pp. A634–A667, (2014).
 Coarsegraining schemes for stochastic lattice systems with short and longrange interactions, (with Petr Plechac, Luc ReyBellet and Dimitrios Tsagkarogiannis), Math. Comp., 83, No. 288, pp. 17571793, (2014).

Measuring the irreversibility of numerical schemes for reversible stochastic differential equations, (with Y. Pantazis and L. ReyBellet.), ESAIM: Mathematical Modelling and Numerical Analysis, doi:10.1051/m2an/2013142, (2014).

Parametric Sensitivity Analysis for Biochemical Reaction Networks based on Pathwise Informa\
tion Theory, (with Y. Pantazis and D.G. Vlachos), BMC Bionformatics, 14:311, doi:10.1186/1471210514311, (2013).

Informationtheoretic tools for parametrized coarsegraining of nonequilibrium extended system, (with Petr Plechac), J. Chem. Phys., 139, 07\
4115, (2013).
 A Relative Entropy Rate Method for Path Space Sensitivity Analysis of Stationary Complex Stochastic Dynamics, (with Yannis Pantazis), J. Chem. Phys., 138, 054115, (2013).
 Deterministic Equations for Stochastic Spatial Evolutionary Games, (with SungHa Hwang
and , Luc ReyBellet), Theoretical Economics, 8, 829–874, (2013).
 Hierarchical fractionalstep approximations and parallel kinetic Monte Carlo algorithms (with
Giorgos Arampatzis, Petr Plechac, Michela Taufer, Lifan Xu), J. Comp. Phys., 231, 7795
7814, (2012).

Multilevel coarse graining and nanopattern discovery in many particle stochastic systems.
(with E. Kalligiannaki, P. Plechac and D. G. Vlachos), J. Comp. Phys., 231, 25992620,
(2012).
 Longtime integration methods for mesoscopic models of patternforming systems, (with N.M\
.
Abukhdeir, D. G. Vlachos, and M. Plexousakis), J. Comp. Phys. 230, 57045715, (2011).

Hybrid Deterministic Stochastic Systems with Microscopic Lookahead Dynamics, (with A. J.
Majda and A. Sopasakis), Comm. Math. Sci. 8, 409437, (2010), [Special volume dedicated
to the sixtieth birthday of Professor Andrew Majda].
 A Hamilton Jacobi theory for controlled gradient flows in infinite dimensions, (with J. Feng), Arch. Rat. Mech. Analysis 192, 2 , 275310 (2009).
 Multibody interactions in coarsegraining schemes for extended systems (with S. Are, P. Plechac and L. ReyBellet), SIAM Sci. Comp., 31, No. 2, 9871015, (2008).
 Error control and analysis in coarsegraining of stochastic lattice dynamics (with P. Plechac and A. Sopasakis),SIAM J. Num. Analysis 4 (6), 22702296 (2006).
 Intermittency, metastability and coarsegraining in deterministic/stochastic lattice systems (with A. J. Majda and A. Sopasakis),Nonlinearity 19, 10211047, (2006).
 Mechanistic Principles of Nanoparticle Evolution to Zeolite Crystals (with T. M. Davis, T. O. Drews, H. Ramanan, C. He, J. Dong, H. Schnablegger, E. Kokkoli, A. V. McCormick, R. L. Penn, and M. Tsapatsis), Nature Materials, 5, 400, (2006).

Stochastic modeling and simulation of traffic flow: ASEP with Arrhenius lookahead dynamics, (with A. Sopasakis), SIAM J. Appl. Math., 66, 921944, (2006).
 Binomial distribution based τleap accelerated stochastic simulation, (with A. Chaterjee and D. G. Vlachos), J. Chem. Phys. 122, 024112 (2005).
 Coarsegrained stochastic models for tropical convection and climate, (with B. Khouider and A. J. Majda), Proc. Natl. Acad. Sci. USA 100, (2003), 1194111946.
 Coarsegrained stochastic processes for lattice systems, (with A. J. Majda and D. G. Vlachos), Proc. Natl. Acad. Sci. USA 100, (2003), 782787.
 Hierarchical kinetic Monte Carlo simulations for diffusion of interacting molecules, (with D. G. Vlachos),
J. Chem. Phys. 112, 18, (2003).
 Spectral Methods for Mesoscopic Models In Pattern Formation, (with D. J. Horntrop and D. G. Vlachos), J. Comp. Phys. 173, (2001), 361390.

Mesoscopic Theories for the Diffusion of Interacting Molecules, (with D. G. Vlachos), Phys. Rev. Lett. 85, 18, (2000).
 From microscopic interactions to macroscopic laws of cluster growth (with D. G. Vlachos), Phys. Rev. Lett. 84, 7, (2000), 15111514.
 Relaxation Schemes for CurvatureDependent Front Propagation, (with S. Jin and Z. Xin), Comm. Pure Appl. Math. 52, 12, (1999), 1587{1615.
 Convergence and Error Estimates of Relaxation Schemes for Multidimensional Conservation Laws (with G. Kossioris and Ch. Makridakis), Comm. P.D.E. 24, (1999), 395423.
 Contractive Relaxation Systems and the Scalar Multidimensional Conservation Law, (with A.E. Tzavaras),
Comm. P.D.E. 22, (1997), 195233.
 Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics (with P. E. Souganidis), Comm. Math. Phys., 169, (1995), 6197.
 Interacting Particle Systems and Generalized Evolutions of Fronts (with P. E. Souganidis), Arch. Rat. Mech. Anal., 127, (1994), 133157.
 Viscosity Solutions of 2nd Order Fully Nonlinear Elliptic Equations with State Constraints, Indiana U. Math. J. 43, (1994), 493519.
Research
 Uncertainty Quantification for molecular, stochastic and multiscale models.
 Hierarchical coarsegraining and parallelization methods for molecular and hybrid models.
 Stochastic Analysis, Statistical Mechanics and Nonlinear Partial Differential Equations, focusing on the mathematical and computational aspects of phenomena with multiple, interrelating scales.
ResearchGate Profile
Recent Preprints
Software
Informationtheoretic
Sensitivity Analysis in Pathspace (ISAP) MATLAB package for reaction networks with a highdimensional parameter space:
Informationtheoretic Sensitivity Analysis in Pathspace (ISAP)
User's Guide for ISAP
Funding
Teaching
This semester I am teaching:
Math 331.3: Ordinary Differential Equations