Huang, R., Korniss, G., Nayak, S. K.
We study the interplay between structural and conductivity (composite) disorder and the collective electrical response in random networks models. Translating the problem of time-dependent electrical...
Suppressing roughness of virtual times in parallel discrete-event simulations (2008)
G. Korniss, M. A. Novotny, H. Guclu, Z. Toroczkai, P. A. Rikvold
In a parallel discrete-event simulation (PDES) scheme, tasks are distributed among processing elements (PEs) whose progress is controlled by a synchronization scheme.For lattice systems with...
Naming Games in Spatially-Embedded Random Networks ∗ (2008)
We investigate a prototypical agent-based model, the Naming Game, on random geometric networks. The Naming Game is a minimal model, employing local communications that captures the emergence of...
Threshold-Controlled Global Cascading in Wireless Sensor Networks (2008)
Abstract — We investigate cascade dynamics in thresholdcontrolled (multiplex) propagation on random geometric networks. We find that such local dynamics can serve as an efficient, robust, and...
Naming Games in Spatially-Embedded Random Networks (2008)
Qiming Lu And, Qiming Lu, G. Korniss
We investigate a prototypical agent-based model, the Naming Game, on random geometric networks. The Naming Game is a minimal model, employing local communications, capturing the emergence of shared...
Going through Rough Times: from Non-Equilibrium Surface Growth to Algorithmic Scalability (2007)
G. Korniss, M. A. Novotny, P. A. Rikvold, H. Guclu, Z. Toroczkai
Efficient and faithful parallel simulation of large asynchronous systems is a challenging computational problem. It requires using the concept of local simulated times and a synchronization scheme....
G. Korniss, P. A. Rikvold, M. A. Novotny
Abstract. We discuss the subtle finite-size effects of the dynamic phase transition (DPT) in a two-dimensional kinetic Ising ferromagnet driven by an oscillating external field. We present...
G. Korniss, P. A. Rikvold, M. A. Novotny
We discuss the subtle finite-size e#ects of the dynamic phase transition (DPT) in a two-dimensional kinetic Ising ferromagnet driven by an oscillating external field. We present computational and...
Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links (2007)
Kozma, Balazs, Hastings, Matthew B., Korniss, G.
We considered diffusion-driven processes on small-world networks with distance-dependent random links. The study of diffusion on such networks is motivated by transport on randomly folded polymer...
Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links (2007)
Kozma, Balazs, Hastings, Matthew B., Korniss, G.
We considered diffusion-driven processes on small-world networks with distance-dependent random links. The study of diffusion on such networks is motivated by transport on randomly folded polymer...
Extreme fluctuations in noisy task-completion landscapes on scale-free networks (2007)
Guclu, H., Korniss, G., Toroczkai, Z.
We study the statistics and scaling of extreme fluctuations in noisy task-completion landscapes, such as those emerging in synchronized distributed-computing networks, or generic causally-constrained...
Motivated by synchronization problems in noisy environments, we study the Edwards-Wilkinson process on weighted uncorrelated scale-free networks. We consider a specific form of the weights, where the...
Fisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition (2006)
O'Malley, L., Kozma, B., Korniss, G., Racz, Z., Caraco, T.
We study front propagation when an invading species competes with a resident; we assume nearest-neighbor preemptive competition for resources in an individual-based, two-dimensional lattice model....
Naming Games in Spatially-Embedded Random Networks (2006)
Lu, Qiming, Korniss, G., Szymanski, Boleslaw K.
We investigate a prototypical agent-based model, the Naming Game, on random geometric networks. The Naming Game is a minimal model, employing local communications that captures the emergence of...
O'Malley, L., Kozma, B., Korniss, G., Racz, Z., Caraco, T.
We consider an individual-based two-dimensional spatial model with nearest-neighbor preemptive competition to study front propagation between an invader and a resident species. In particular, we...
Invasive advance of an advantageous mutation: nucleation theory (2006)
O'Malley, Lauren, Basham, James, Yasi, Joseph A., Korniss, G., Allstadt, Andrew, Caraco, Tom
For most organisms with viscous population structure, spatially localized growth drives the invasive advance of a favorable mutation. We model a two-allele competition where recurrent mutation...
Synchronization Landscapes in Small-World-Connected Computer Networks (2006)
Guclu, H., Korniss, G., Novotny, M. A., Toroczkai, Z., Racz, Z.
Motivated by a synchronization problem in distributed computing we studied a simple growth model on regular and small-world networks, embedded in one and two-dimensions. We find that the...
Scaling in small-world resistor networks (2006)
Korniss, G., Hastings, M. B., Bassler, K. E., Berryman, M. J., Kozma, B., Abbott, Derek
We study the effective resistance of small-world resistor networks. Utilizing recent analytic results for the propagator of the Edwards–Wilkinson process on small-world networks, we obtain the...
Scaling in small-world resistor networks (2006)
Korniss, G., Hastings, M. B., Bassler, K. E., Berryman, M. J., Kozma, B., Abbott, Derek
We study the effective resistance of small-world resistor networks. Utilizing recent analytic results for the propagator of the Edwards–Wilkinson process on small-world networks, we obtain the...
Dynamics of Naming Games in Random Geometric Networks (2006)
Abstract — We investigate a simple agent-based model, the Naming Game, on random geometric networks. The Naming Game is a minimal model, employing local communications, capturing the emergence of...
Scaling in Small-World Resistor Networks (2005)
Korniss, G., Hastings, M. B., Bassler, K. E., Berryman, M. J., Kozma, B., Abbott, D.
We study the effective resistance of small-world resistor networks. Utilizing recent analytic results for the propagator of the Edwards-Wilkinson process on small-world networks, we obtain the...
Invasive Allele Spread under Preemptive Competition (2005)
Yasi, J. A., Korniss, G., Caraco, T.
We study a discrete spatial model for invasive allele spread in which two alleles compete preemptively, initially only the "residents" (weaker competitors) being present. We find that the spread of...
Spatial Dynamics of Invasion: The Geometry of Introduced Species (2005)
Many exotic species combine low probability of establishment at each introduction with rapid population growth once introduction does succeed. To analyze this phenomenon, we note that invaders often...
Diffusion Processes on Power-Law Small-World Networks (2005)
Kozma, Balázs, Hastings, Matthew B., Korniss, G.
We consider diffusion processes on power-law small-world networks in different dimensions. In one dimension, we find a rich phase diagram, with different transient and recurrent phases, including a...
Toroczkai, Zoltan, Kozma, Balazs, Bassler, Kevin E., Hengartner, N. W., Korniss, G.
We define gradient networks as directed graphs formed by local gradients of a scalar field distributed on the nodes of a substrate network G. We derive an exact expression for the in-degree...
Extreme Fluctuations in Small-Worlds with Relaxational Dynamics (2003)
We study the distribution and scaling of the extreme height fluctuations for Edwards-Wilkinson-type relaxation on small-world substrates. When random links are added to a one-dimensional lattice, the...
Algorithms for faster and larger dynamic Metropolis simulations (2003)
Novotny, M. A., Kolakowska, Alice K., Korniss, G.
In dynamic Monte Carlo simulations, using for example the Metropolis dynamic, it is often required to simulate for long times and to simulate large systems. We present an overview of advanced...
Testing the Collective Properties of Small-World Networks through Roughness Scaling (2003)
Kozma, B., Hastings, M. B., Korniss, G.
Motivated by a fundamental synchronization problem in scalable parallel computing and by a recent criterion for ``mean-field'' synchronizability in interacting systems, we study the Edwards-Wilkinson...
Anghel, M., Toroczkai, Zoltan, Bassler, Kevin E., Korniss, G.
Using the minority game as a model for competition dynamics, we investigate the effects of inter-agent communications on the global evolution of the dynamics of a society characterized by competition...
Stochastic Growth in a Small World (2003)
We considered the Edwards-Wilkinson model on a small-world network. We studied the finite-size behavior of the surface width by performing exact numerical diagonalization for the underlying coupling...
Virtual Time Horizon Control via Communication Network Design (2003)
Toroczkai, Z., Korniss, G., Novotny, M. A., Guclu, H.
We consider massively parallel discrete event simulations where the communication topology among the processing elements is a complex graph. In the case of regular topologies we review recent results...
Suppressing Roughness of Virtual Times in Parallel Discrete-Event Simulations (2003)
Korniss, G., Novotny, M. A., Guclu, H., Toroczkai, Z., Rikvold, P. A.
In a parallel discrete-event simulation (PDES) scheme, tasks are distributed among processing elements (PEs), whose progress is controlled by a synchronization scheme. For lattice systems with...
Kolakowska, A., Novotny, M. A., Korniss, G.
We consider parallel simulations for asynchronous systems employing L processing elements that are arranged on a ring. Processors communicate only among the nearest neighbors and advance their local...
Korniss, G., Rikvold, P. A., Novotny, M. A.
It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field...
Statistical Properties of the Simulated Time Horizon (2002)
G. Korniss, M. A. Novotny, A. K. Kolakowska, H. Guclu
We investigate the universal characteristics of the simulated time horizon of the basic conservative parallel algorithm when implemented on regular lattices. This technique [1, 2] is generically...
Going through Rough Times: from Non-Equilibrium Surface Growth to Algorithmic Scalability (2001)
Korniss, G., Novotny, M. A., Rikvold, P. A., Guclu, H., Toroczkai, Z.
Efficient and faithful parallel simulation of large asynchronous systems is a challenging computational problem. It requires using the concept of local simulated times and a synchronization scheme....
Korniss, G., White, C. J., Rikvold, P. A., Novotny, M. A.
We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the...
Korniss, G., Novotny, M. A., Toroczkai, Z., Rikvold, P. A.
The scalability of massively parallel algorithms is a fundamental question in computer science. We study the scalability and the efficiency of a conservative massively parallel algorithm for...
Extremal-point Densities of Interface Fluctuations (2000)
Toroczkai, Z., Korniss, G., Sarma, S. Das, Zia, R. K. P.
We introduce and investigate the stochastic dynamics of the density of local extrema (minima and maxima) of non-equilibrium surface fluctuations. We give a number of exact, analytic results for...
Korniss, G., Toroczkai, Z., Novotny, M. A., Rikvold, P. A.
We study the asymptotic scaling properties of a massively parallel algorithm for discrete-event simulations where the discrete events are Poisson arrivals. The evolution of the simulated time horizon...
Dynamic Phase Transition and Hysteresis in Kinetic Ising Models (1999)
Rikvold, P. A., Korniss, G., White, C. J., Novotny, M. A., Sides, S. W.
We briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the...
Korniss, G., Novotny, M. A., Rikvold, P. A.
We experiment with a massively parallel implementation of an algorithm for simulating the dynamics of metastable decay in kinetic Ising models. The parallel scheme is directly applicable to a wide...
Long-Range Order in a Quasi One-Dimensional Non-Equilibrium Three-State Lattice Gas (1998)
Korniss, G., Schmittmann, B., Zia, R. K. P.
Biased diffusion of two species with conserved dynamics on a 2xL periodic lattice is studied via Monte Carlo simulations. In contrast to its simple one-dimensional version on a ring, this quasi...
Korniss, G., Brown, G., Novotny, M. A., Rikvold, P. A.
We present recent results on two attempts at understanding and utilizing large-scale simulations of magnetic materials. In the first study we consider massively parallel implementations on a Cray T3E...
Brownian-Vacancy Mediated Disordering Dynamics (1997)
Toroczkai, Z., Korniss, G., Schmittmann, B., Zia, R. K. P.
The disordering of an initially phase segregated system of finite size, induced by the presence of highly mobile vacancies, is shown to exhibit dynamic scaling in its late stages. A set of...
Structure Factors and Their Distributions in Driven Two-Species Models (1997)
We study spatial correlations and structure factors in a three-state stochastic lattice gas, consisting of holes and two oppositely ``charged'' species of particles, subject to an ``electric'' field...
Asymmetries in Structure Factor Histograms (1996)
Korniss, G., Schmittmann, B., Zia, R. K. P.
We investigate the dynamics of a three-state stochastic lattice gas, consisting of holes and two oppositely "charged" species of particles, under the influence of an "electric" field, at zero total...
Long Range Correlations in the Disordered Phase of a Simple Three State Lattice Gas (1996)
Korniss, G., Schmittmann, B., Zia, R. K. P.
We investigate the dynamics of a three-state stochastic lattice gas, consisting of holes and two oppositely "charged" species of particles, under the influence of an "electric" field, at zero total...