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Displaying 61 –
80 of
408
In this paper, we are interested in the asymptotical behavior
of the error between the solution of a differential equation
perturbed by a flow (or by a transformation) and the solution
of the associated averaged differential equation.
The main part of this redaction is devoted to the ascertainment
of results of convergence in distribution analogous to those
obtained in [10] and [11]. As in [11], we shall use a representation
by a suspension flow over a dynamical system. Here, we make an
assumption...
This paper uses the Rice method [18] to give bounds to
the distribution of the maximum of a smooth stationary Gaussian
process. We give simpler expressions of the first two terms of
the Rice series [3,13] for the distribution of the maximum.
Our main contribution is a simpler form of the second factorial moment
of the number of upcrossings which is in some sense a generalization
of Steinberg et al.'s formula
([7] p. 212).
Then, we present a numerical application and asymptotic expansions...
In this paper, we prove some central and non-central limit theorems for renormalized weighted power variations of order q≥2 of the fractional brownian motion with Hurst parameter H∈(0, 1), where q is an integer. The central limit holds for 1/2q<H≤1−1/2q, the limit being a conditionally gaussian distribution. If H<1/2q we show the convergence in L2 to a limit which only depends on the fractional brownian motion, and if H>1−1/2q we show the convergence in L2 to a stochastic integral...
We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments of order strictly greater than
and obeys some natural regularity conditions.
Let be a Brownian motion, and let be the space of all continuous periodic functions with period 1. It is shown that the set of all such that the stochastic convolution , does not have a modification with bounded trajectories, and consequently does not have a continuous modification, is of the second Baire category.
Currently displaying 61 –
80 of
408