178 citations
- University of TorontoCA40 papers
- York UniversityCA39 papers
- University of WaterlooCA13 papers
- Alexandru Ioan Cuza UniversityRO8 papers
- McMaster UniversityCA8 papers
- Université du Québec à MontréalCA7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- University of HelsinkiFI6 papers
- University of WashingtonUS6 papers
- Carleton UniversityCA5 papers
- University of AlbertaCA5 papers
- University of British ColumbiaCA5 papers
15 papers · 1 filter
Critical behavior of a cellular automaton highway traffic model
N. Boccara, H. Fukś
We derive the critical behavior of a CA traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking…
Performance of data networks with random links
Henryk Fuks, Anna T. Lawniczak
We investigate simplified models of computer data networks and examine how the introduction of additional random links influences the performance of these net works. In general, th…
Vertex-reinforced random walk on arbitrary graphs
Stanislov Volkov
Vertex-Reinforced Random Walk (VRRW), defined by Pemantle (1988a), is a random process in a continuously changing environment which is more likely to visit states it has visited be…
A differential game with constrained dynamics and viscosity solutions of a related HJB equation
Rami Atar, Paul Dupuis
This paper considers a formulation of a differential game with constrained dynamics, where one player selects the dynamics and the other selects the applicable cost. When the game…
On a singular semilinear elliptic boundary value problem and the boundary Harnack principle
Siva Athreya
We consider the singular boundary-value problem Δu = f(u) in D; u|_dD= phi, where 1. D is a bounded C^2-domain of R^d, d >= 3 2. f: (0,1) -> (0,1) is a locally Hölder continuous fu…
Monotonicity property for a class of semilinear partial differential equations
Siva Athreya
We establish a monotonicity property in the space variable for the solutions of an initial boundary value problem concerned with the parabolic partial differential equation connect…