In this paper it is shown that a subprocess of a Markov process is markovian if a suitable condition of noncausality is satisfied. Furthermore, a markovian condition is shown to be a natural condition when analyzing the role of the horizon (finite or infinite) in the property of noncausality. We also give further conditions implying that a process is both jointly and marginally markovian only if there is both finite and infinite noncausality and that a process verifies both finite and infinite noncausality only if it is markovian. Counterexamples are also given to illustrate the cases where these further conditions are not satisfied
AbstractWe prove that if X = (Xn)nϵZ is a finite state space ergodic Markov chain, then for any natu...
We show that the marginal distribution of a semimartingale can be matched by a Markov process. This ...
Abstract. Markov automata describe systems in terms of events which may be nondeterministic, may occ...
A recent theorem in [3] provided a link between a certain function of transition probabilities of a ...
It is common, when dealing with quantum processes involving a subsystem of amuch larger composite cl...
Abstract. We prove a central limit theorem for a class of additive processes that arise naturally in...
We prove a central limit theorem for a class of additive processes that arise naturally in the theor...
We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides...
AbstractWe quickly review labelled Markov processes (LMP) and provide a counterexample showing that ...
In this paper we give some general, but easy-to-check, conditions guaranteeing the quasi-stationarit...
The non-Markovian systems represent almost all stochastic processes, except of a small class having ...
We extend the theory of labeled Markov processes with internal nondeterminism, a fundamental concept...
We develop a theory of probabilistic continuous processes that is meant ultimately to be part of an ...
We study a fairly general class of time-homogeneous stochastic evolutions driven by noises that are ...
We consider processes which are functions of finite-state Markov chains. It is well known that such ...
AbstractWe prove that if X = (Xn)nϵZ is a finite state space ergodic Markov chain, then for any natu...
We show that the marginal distribution of a semimartingale can be matched by a Markov process. This ...
Abstract. Markov automata describe systems in terms of events which may be nondeterministic, may occ...
A recent theorem in [3] provided a link between a certain function of transition probabilities of a ...
It is common, when dealing with quantum processes involving a subsystem of amuch larger composite cl...
Abstract. We prove a central limit theorem for a class of additive processes that arise naturally in...
We prove a central limit theorem for a class of additive processes that arise naturally in the theor...
We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides...
AbstractWe quickly review labelled Markov processes (LMP) and provide a counterexample showing that ...
In this paper we give some general, but easy-to-check, conditions guaranteeing the quasi-stationarit...
The non-Markovian systems represent almost all stochastic processes, except of a small class having ...
We extend the theory of labeled Markov processes with internal nondeterminism, a fundamental concept...
We develop a theory of probabilistic continuous processes that is meant ultimately to be part of an ...
We study a fairly general class of time-homogeneous stochastic evolutions driven by noises that are ...
We consider processes which are functions of finite-state Markov chains. It is well known that such ...
AbstractWe prove that if X = (Xn)nϵZ is a finite state space ergodic Markov chain, then for any natu...
We show that the marginal distribution of a semimartingale can be matched by a Markov process. This ...
Abstract. Markov automata describe systems in terms of events which may be nondeterministic, may occ...