We will also prove the existence and uniqueness of an invariant measure
which satisfies a ldp.
1](X), called invariant measure
of the IFSP(w,p), such that M[bar.
In the case of a unique equilibrium, stochastic stability is proved and a formula for the perturbed invariant measure
was produced in terms of the quasi-potential.
alpha]] (N, [omega]) to the properties of the invariant measure
, and of its orthogonal polynomials.
2 that, for an ergodic Hamiltonian system, [Mu], is the only invariant measure
mu]][member of] M(X), the so-called invariant measure
of the IFSP (w, p), such that [bar.
s] = 1, and let [micro] be the associated invariant measure
The involved quantity is the invariant measure
of an M/G/1/C queue with arrivals by batches with distribution the mouse size distribution.
This is the first full-length look at Markov semigroups both in spaces of bounded and continuous functions as well as in Lp spaces relevant to the invariant measure
of the semigroup.
He covers Tonelli Lagrangians and Hamiltonians on compact manifolds, from KAM theory to Aubry-Mather theory, action-minimizing invariant measures
for Tonelli Lagrangians, action-minimizing curves for Tonelli Lagrangians, and the Hamtonian-Jacobi equation and weak KAM theory.
Barreira (Instituto Superior Tecnico, Lisbon) and Pesin (Pennsylvania State University) introduce the ergodic properties of smooth dynamical systems on Riemannian manifolds with respect to natural invariant measures
, focusing on systems whose trajectories are hyperbolic and Lyapunov exponents.
and convergence properties for cellular automaton 184 and related processes.