Network Science


W. Zhang, C. Lim1, S. Sreenivasan, J. Xie1, B. K. Szymanski, and G. Korniss, 2011, Social influencing and associated random walk models: Asymptotic consensus times on the complete graph, Chaos 21, 025115

J. Xie, S. Sreenivasan, G. Korniss, W. Zhang, C. Lim, and B. K. Szymanski, 2001, Social consensus through the influence of committed minorities, Phys. Rev. E 84, 011130

W. Zhang and C.C. Lim, "The Concentration and Stability of the Community Detecting Functions on Random Networks", Internet Mathematics 9 (4), 360-383, 2013. click here to download

W. Zhang, C.C. Lim and B. Szymanski, "Analytic Treatment of Tipping Points for Social Consensus in Large Random Networks", Phys Rev E 86 (6), 061134, 2012

W. Zhang, Korniss, Szymanki, C.C. Lim, "Spatial Propagation of Opinions: Naming games on random geographic graphs", Sci Reports 2014, Scientific Reports 4, 5568 (2014) and doi: 10.1038/srep05568 Sci Reports

W. Pickering, C.C. Lim, "Solution of Voter models by Spectral Analysis", click here to download

Physical Review E (Vol.91, No.1): DOI: 10.1103/PhysRevE.91.012812

C.C. Lim, W. Pickering, "Information sharing of strong neitrals in social forums - exact soln of 3 state voter model", arXiv preprint arXiv:1411.0530, 2014 click here to download

[5] C.C. Lim and W. Zhang, "Monotonicity of Social Opinion Dynamics on Large Networks", submitted July 31 2015, for the role of monotonicity in math. sociology where pure diffusion is secondary to drift.

[6] A. Thompson, B. Szymanski, C.C. Lim, "Propensity and Stickiness in the Naming Games", Phys Rev E 90, 042809, 2014 on robustness of tipping points in two para. family of social opinion models.

Vortex Dynamics


T.D. Anderson and C. C. Lim, 2008, Explicit mean-field radius for nearly parallel vortex filaments in statistical equilibrium, Geophysical and Astophysical Fluid Dynamics, Volume 102, Number 3, June 2008, pg 265-280

Chjan C. Lim and Rajinder Singh Mavi, 2008, Phase transitions of barotropic flow coupled to a massive rotating sphere - derivation of a fixed point equation by the Bragg method, Physica A, Volume 380, 1 July 2007, pg 43-60

Timothy Andersen and Chjan Lim, 2007, Trapped slender vortex filaments in statistical equilibrium, PAMM Volume 6, Issue 1, pages 865-868, December 2006

T. D. Andersen and C. C. Lim, 2007, Negative specific heat in a quasi-2D generalized vorticity model, Phys. Rev. Lett. 99, 165001

Chjan C. Lim, 2007, Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system, J. Math. Phys. 48, 065603

Chjan C. Lim, 2007, Extremal free energy in a simple mean field theory for a coupled Barotropic fluid - rotating sphere system, Discrete and Continuous Dynamical Systems - Series A, Volume 19, Issue 2, October 2007, pg 361-386

Xueru Ding, Chjan C. Lim, 2007, Phase transitions of the energy-relative enstrophy theory for a coupled barotropic fluid-rotating sphere system, Physica A, Volume 374, Issue 1, 15 January 2007, pg 152-164

C. C. Lim, 2006, Exactly-solvable Ising-Heisenberg model for the coupled barotropic fluid - rotating solid sphere system - condensation of super and sub-rotating barotropic flow states, nlin/0611050

Syed M. Assad and Chjan C. Lim, 2006, Statistical equilibrium distributions of baroclinic vortices in a rotating two-layer model at low Froude numbers, Geophysical and Astrophysical Fluid Dynamics, Volume 100, Number 6, December 2006, pg 1-22

Xueru Ding, Chjan C. Lim, 2006, Equilibrium Phases in a Energy- Relative enstrophy Statistical Mechanics Model of Barotropic Flows on a Rotating Sphere non-conservation of angular momentum, American Meteorological Society Proceedings 2006

Syed M. Assad and Chjan C. Lim, 2005, Monte Carlo simulation of Baroclinic Vortices in the Heton Gas, Third MIT Conf. Proc 2005

C. C. Lim, S. M. Assad, 2005, Self containment radius for rotating planar flows, single-signed vortex gas and electron plasma, Regular and Chaotic Dynamics Volume 10, Number 3, 2005

Syed M. Assad and Chjan C. Lim, 2005, Statistical equilibrium of the Coloumb/Vortex gas on the unbounded 2-dimensional plane, Discrete and Continuous Dynamical Systems-Series B, Volume 5, Number 1, February 2005

Chjan C. Lim and Joseph Nebus, 2004, The Spherical Model of Logarithmic potentials - MC simulations, Physics Fluids, Oct 2004

Chjan C. Lim, Joseph Nebus, and Syed M. Assad, 2003, Monte-Carlo and Polyhedron-based Simulations I: Extremal States of the Logarithmic N-Body Problem on a Sphere Appeared, Discrete and Continuous Dynamical Systems-Series B, Volume 3, Number 3, August 2003

Chjan C. Lim, Joseph Nebus, and Syed M. Assad, 2003, A Monte Carlo algorithm for free and coaxial ring extremal states of the vortex N-body problem on a sphere, Physica A, Volume 328, Issues 1-2, October 2003, pg 53-96

Chjan C. Lim and A.J. Majda, 2001, Point Vortex Dynamics for a Coupled Surface / Interior QG and Propagating heton Clusters in Models for Ocean Convection, Geophys. Astrophys. Fluid Dynamics, Volume 94, pg 177-220

Chjan C. Lim, James Montaldi, Mark Roberts, 2001, Relative equilibria of Point Vortices on a Sphere, Physica D 148, pg 97-135

Dynamical Systems


Chjan C. Lim, 1998, Relative Equilibria of Symmetric n-body Problems on the Sphere: Inverse and Direct Results, Communications on Pure and Applied Mathematics, Volume 51, Issue 4, April 1998, 341-371

Chjan C. Lim, I-Heng McComb, 1998, Time-reversible and Equivariant Pitchfork Bifurcations, Physica D, Volume 112, Issues 1-2, 15 January 1998

Chjan C. Lim, 1995, Stability of normal modes and subharmonic bifurcations in the 3-body Stokeslet problem, J. Diff. Eqn. 121(2), 384-405, 1995

Chjan C. Lim, 1993, Nonexistence of Lyapunov functions and the instability of the von Karman vortex streets, Phys. Fluids A 5, 2229

Chjan C. Lim, 1993, Stability of equilibria for a class of time-reversible equivariant vector fields, J. Math Anal. 24(4), 1009-1029, 1993



Chjan C. Lim, Gregory Van Patten, 2001, New Proofs of the Uniqueness of Extremal Noneven Digraphs, Bull. Malaysian Math. Sc. Soc. (Second Series) 24 (2001) 149-165

Chjan C. Lim, 1997, New Proofs of the Uniqueness of Noneven Digraphs with the Most Number M(n) of Arcs and M(n) - 1 Arcs, Proc. Southeastern Conf. on Comb., Graph Theory and Computing, Boca Raton, 1997, pages 129-142

David A. Schmidt and Chjan C. Lim, 1996, Full-Sign Invertibility and Symplectic Matrices, Linear Algebra and its Application, Volume 232, 1 January 1996, pg 97-100

Chjan C. Lim, 1996, Kastelyn's Theorem and Symmetric Noneven Digraphs, Proc. Southeastern Comf. on Comb., Graph Theory and Computing, Baton Rouge, 1996, pages 231-242

Chjan C. Lim, David Schmidt, 1995, On Noneven Digraphs and Symplectic Pairs, Bull. Malaysian Math. Soc