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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...
Conformal Invariance in Inverse Turbulent Cascades
Conformal Invariance Inverse Turbulent Cascades
2010/12/28
We study statistical properties of turbulent inverse cascades in a class of nonlinear models describ-ing a scalar field transported by a two-dimensional incompressible flow. The class is characterized...
Sandpile cascades on interacting tree-like networks
Disordered Systems and Neural Networks (cond-mat.dis-nn) Adaptation and Self-Organizing Systems (nlin.AO)
2010/11/10
The vulnerability of an isolated network to cascades is fundamentally affected by its interactions with other networks. Motivated by failures cascading among electrical grids, we study the Bak-Tang-Wi...
Cascades with Adjoint Matter: Adjoint Transitions
Cascades Adjoint Matter Adjoint Transitions
2010/12/15
A large class of duality cascades based on quivers arising from non-isolated singularities enjoy adjoint transitions - a phenomenon which occurs when the gauge coupling of a node possessing adjoint ma...
The appearance of infinitely-many period-doubling cascades is one of the most prominent features observed in the study of maps depending on a parameter. They are associated with chaotic behavior, sinc...