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Cascades of Particles Moving at Finite Velocity in Hyperbolic Spaces
Branching processes difference-differential equations hyperbolic Brownian motion hyperbolic trigonometry
2011/9/20
Abstract: A branching process of particles moving at finite velocity over the geodesic lines of the hyperbolic space (Poincar\'e half-plane and Poincar\'e disk) is examined. Each particle can split in...
Limit sets of relatively hyperbolic groups
dynamical quasiconvexity relative hyperbolicity limit sets
2010/12/1
In this paper, we prove a limit set intersection theorem in rela-tively hyperbolic groups. We also show that a nonparabolic relatively quasicon-vex subgroup cannot contain a proper conjugate of itself...
The Optimal Order Error Estimates for Finite Element Approximations to Hyperbolic Problems
2007/12/12
In this paper, the linear finite element approximation to the positive and symmetric, linear hyperbolic systems is analyzed and an $O(h^2)$ order error estimate is established under the conditions of ...