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Dimensions of average conformal repeller
Hausdorff dimension Non-conformal repellers Topological pressure
2011/10/19
In this paper, average conformal repeller is defined, which is generalization of conformal repeller. Using thermodynamic formalism for sub-additive potential defined in [5],Hausdorff dimension and box...
Modified projective synchronization of fractional-order chaotic systems with different dimensions
Modified projective synchronization Fractional-order chaotic systems Laplace transformation
2011/10/18
In this letter, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are ...
Let A(t) denote the cluster produced by internal diusion limited aggregation (internal DLA) with t particles in dimension d 3. We show that A(t) is approximately spherical, up to an O(
p log t) er...
Positive recurrence of reflecting Brownian motion in three dimensions
Reflecting Brownian motion transience Skorohod problem
2010/12/14
Consider a semimartingale reflecting Brownian motion (SRBM)Z whose state space is the d-dimensional nonnegative orthant. The data for such a process are a drift vector , a nonsingular d×d covariance ...