Related papers: Invariance Principle and recurrence for random wal…

This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.

Consider the invariance principle for a random walk with random environment (denoted by $\mu$) in time on $\bfR$ in a weak quenched sense. We show that a sequence of the random probability measures on $\bfR$ generated by a bounded Lipschitz…

The paper is withdrawn.

This paper has been withdrawn by the author because there is a gap in Lemma 9.

This paper has been withdrawn by author due to an error in the proof.

This paper has been withdrawn by the author due to some errors.

In this paper we consider a stochastic process that may experience random reset events which bring suddenly the system to the starting value and analyze the relevant statistical magnitudes. We focus our attention on monotonous…

The author has recognized an error in the section of the text regarding induced Compton scattering. The paper has been withdrawn pending a revision to this section.

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

In this article, we develop a theory for understanding the traces left by a random walk in the vicinity of a randomly chosen reference vertex. The analysis is related to interlacements but goes beyond previous research by showing weak limit…

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author. Lemma 8 is used in the proof of Lemma 6, but it is not correct. Lemma 6 is essential for the main results.

We show that the Invariant Risk Minimization (IRM) formulation of Arjovsky et al. (2019) can fail to capture "natural" invariances, at least when used in its practical "linear" form, and even on very simple problems which directly follow…

This paper has been withdrawn by the authors, due the copyright policy of the journal it has been submited to.

This paper has been withdrawn by the authors due to errors in the X-ray diffraction data. Other measured data are not affected; however, the errors significantly change the interpretation and conclusions, and thus warrant withdrawal and…

This paper has been withdrawn by the author.

This paper has been withdrawn due to an error, and no further revisions will be made.

This paper has been withdrawn by the author due to a crucial error in the formulation.

We prove the trichotomy between transience to the right, transience to the left and recurrence of one-dimensional nearest-neighbour random walks in dynamic random environments under fairly general assumptions, namely: stationarity under…

This paper has been withdrawn by the author due to a crucial error.