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- Eva Löcherbach, Dasha Loukianova
- 2013

We introduce a sequence of stopping times that allow to study an analogue of a life-cycle decomposition for a continuous time Markov process, which is an extension of the well-known splitting… (More)

- Eva Löcherbach, Dasha Loukianova, Oleg Loukianov
- 2009

Let X be a one dimensional positive recurrent diffusion with initial distribution ν and invariant probability μ. Suppose that for some p > 1, ∃a ∈ R such that ∀x ∈ R, ExT p a <∞ and EνT p/2 a < ∞,… (More)

- Eva Löcherbach, Dasha Loukianova
- 2010

Consider a strong Markov process in continuous time, taking values in some Polish state space. Recently, Douc, Fort and Guillin (2009) introduced verifiable conditions in terms of a supermartingale… (More)

- Eva Löcherbach, Dasha Loukianova, Oleg Loukianov
- 2009

Let X be a one dimensional positive recurrent diffusion observed in continuous time. Without assuming strict stationarity of the process, we propose a nonparametric estimator of the drift function… (More)

In this paper we address the questions of perfectly sampling a Gibbs measure with infinite range interactions and of perfectly sampling the measure together with its finite range approximations. We… (More)

- Bruno Cessac, Arnaud Le Ny, Eva Löcherbach
- Neural Computation
- 2017

We initiate a mathematical analysis of hidden effects induced by binning spike trains of neurons. Assuming that the original spike train has been generated by a discrete Markov process, we show that… (More)

- Eva Löcherbach, Dasha Loukianova
- 2009

Let X be a one dimensional positive recurrent diffusion with invariant measure μ. We say that the degree of recurrence of X is polynomial of order p ≥ 1, if for all x, a we have ExT p a < ∞ and ExT… (More)

- Eva Löcherbach, Oleg Loukianov, Dasha Loukianova
- 2011

Let X be a μ-symmetric Hunt process on a LCCB space E. For an open set G ⊆ E, let τG be the exit time of X from G and A be the generator of the process killed when it leaves G. Let r : [0,∞[→ [0,∞[… (More)

- Eva Löcherbach, Dasha Loukianova
- 2009

Let X be a Harris recurrent strong Markov process with general Polish state space E, having invariant measure μ. In this paper we derive non asymptotic deviation bounds for

- Eva Löcherbach, Dasha Loukianova, Oleg Loukianov
- 2013

Let X be a one dimensional positive recurrent diffusion continuously observed on [0, t]. We consider a non parametric estimator of the drift function on a given interval. Our estimator, obtained… (More)