11 citations · 31 across the 6 of their papers we have counts for
6 papers
The optimal free knot spline approximation of stochastic differential equations with additive noise
Mehdi Slassi
In this paper we analyse the pathwise approximation of stochastic differential equations by polynomial splines with free knots. The pathwise distance between the solution and its a…
Free knot linear interpolation and the Milstein scheme for stochastic differential equations
Mehdi Slassi
The main purpose of this paper is to give a solution to a long-standing unsolved problem concerning the pathwise strong approximation of stochastic differential equations with resp…
Large deviation asymptotics for continued fraction expansions
Marc Kesseböhmer, Mehdi Slassi
We study large deviation asymptotics for processes defined in terms of continued fraction digits. We use the continued fraction digit sum process to define a stopping time and deri…
Critical waiting time processes in infinite ergodic theory
Marc Kesseböhmer, Mehdi Slassi
We study limit laws for return time processes defined on infinite conservative ergodic measure preserving dynamical systems. Especially for the critical cases with purely atomic li…
Limit laws for distorted return time processes for infinite measure preserving transformations
Marc Kesseböhmer, Mehdi Slassi
We consider conservative ergodic measure preserving transformations on infinite measure spaces and investigate the asymptotic behaviour of distorted return time processes with resp…
A distributional limit law for the continued fraction digit sum
Marc Kesseböhmer, Mehdi Slassi
We consider the continued fraction digits as random variables measured with respect to Lebesgue measure. The logarithmically scaled and normalized fluctuation process of the digit…