Add to ORKGSub-actions can be interpreted as a concept which corresponds by duality to maximizing probabilities. Considering an expanding dynam-ical system, we propose an extension of the standard model of ergodic optimization, namely, we introduce the holonomic model. Under the transitive hypothesis, we show the existence of sub-actions for Hölder potentials also in the holonomic setting. A representation formula for calibrated sub-actions is presented, which drives us naturally to a clas-sification theorem for these sub-actions. Finally, we prove that the set of Hölder separating sub-actions is a residual subset of the Hölder sub-actions
Abstract. We consider a class of countable Markov shifts R and a locally Hölder potential φ. We pro...
The new approach to the problem of motion planning for underactuated mechanical systems is proposed....
Abstract. Let σ: Σ+ ← ↩ be a one-sided subshift of finite type. We show that for a generic α-Hölder...
We propose a new model of ergodic optimization for expanding dynamical systems: the holonomic settin...
We consider a one-sided transitive subshift of finite type σ: Σ → Σ and a Hölder observable A. In t...
We consider a one-sided transitive subshift of finite type $ \sigma: \Sigma \to \Sigma $ and a Hölde...
This book focuses on the interpretation of ergodic optimal problems as questions of variational dyna...
International audienceA result for subadditive ergodic cocycles is proved that provides more delicat...
Given a topological dynamical systems (Formula presented.), consider a sequence of continuous potent...
In this work, we prove several relations between three different energy minimization techniques. A r...
The subjacent optimal control problem is nontrivial, since the admissible control values are restric...
In dieser Masterarbeit stellen wir das Konzept der Subadditivität für Sequenzen von Zufallsvariablen...
We consider maximizing orbits and maximizing measures for continuous maps T : X ! X and functions f...
International audienceWe generalize a result of Hochman in two simultaneous directions: instead of r...
Let f be a real-valued function defined on the phase space of a dynamical system. Ergodic optimizati...
Abstract. We consider a class of countable Markov shifts R and a locally Hölder potential φ. We pro...
The new approach to the problem of motion planning for underactuated mechanical systems is proposed....
Abstract. Let σ: Σ+ ← ↩ be a one-sided subshift of finite type. We show that for a generic α-Hölder...
We propose a new model of ergodic optimization for expanding dynamical systems: the holonomic settin...
We consider a one-sided transitive subshift of finite type σ: Σ → Σ and a Hölder observable A. In t...
We consider a one-sided transitive subshift of finite type $ \sigma: \Sigma \to \Sigma $ and a Hölde...
This book focuses on the interpretation of ergodic optimal problems as questions of variational dyna...
International audienceA result for subadditive ergodic cocycles is proved that provides more delicat...
Given a topological dynamical systems (Formula presented.), consider a sequence of continuous potent...
In this work, we prove several relations between three different energy minimization techniques. A r...
The subjacent optimal control problem is nontrivial, since the admissible control values are restric...
In dieser Masterarbeit stellen wir das Konzept der Subadditivität für Sequenzen von Zufallsvariablen...
We consider maximizing orbits and maximizing measures for continuous maps T : X ! X and functions f...
International audienceWe generalize a result of Hochman in two simultaneous directions: instead of r...
Let f be a real-valued function defined on the phase space of a dynamical system. Ergodic optimizati...
Abstract. We consider a class of countable Markov shifts R and a locally Hölder potential φ. We pro...
The new approach to the problem of motion planning for underactuated mechanical systems is proposed....
Abstract. Let σ: Σ+ ← ↩ be a one-sided subshift of finite type. We show that for a generic α-Hölder...