Optimal transportation and stationary measures for iterated function systems
From MaRDI portal
Publication:5081318
DOI10.1017/S0305004121000487zbMath1492.28007arXiv1909.01655MaRDI QIDQ5081318
Publication date: 14 June 2022
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.01655
Discrete-time Markov processes on general state spaces (60J05) Fractals (28A80) Optimal transportation (49Q22)
Related Items
Optimality and complexity in measured quantum-state stochastic processes, Representation theory and multilevel filters
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the Kesten-Grincevičius-Goldie theorem
- On the rate of convergence in Wasserstein distance of the empirical measure
- Curvature, concentration and error estimates for Markov chain Monte Carlo
- Quantitative bounds for Markov chain convergence: Wasserstein and total variation distances
- Implicit renewal theory and tails of solutions of random equations
- Ricci curvature of Markov chains on metric spaces
- Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
- Random difference equations and renewal theory for products of random matrices
- A multiplicative ergodic theorem for Lipschitz maps
- Ergodic theorems for iterated function systems controlled by regenerative sequences
- Locally contractive iterated function systems
- Recent progress on Bernoulli convolutions
- Behavior of the empirical Wasserstein distance in \({\mathbb R}^d\) under moment conditions
- On the fine structure of stationary measures in systems which contract-on-average
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium
- The calculus of thermodynamical formalism
- Contraction in mean and transfer operators
- The chaos game on a general iterated function system
- Rigorous approximation of stationary measures and convergence to equilibrium for iterated function systems
- Affine actions of a free semigroup on the real line
- Invariance principles for iterated maps that contract on average
- First and second moments for self-similar couplings and Wasserstein distances
- A review of linear response theory for general differentiable dynamical systems
- An ergodic theorem for iterated maps
- A new class of markov processes for image encoding
- A classical ergodic property for IFS: a simple proof
- Iterated Random Functions
- Invariant measures for nonexpansive Markov operators on Polish spaces
- Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
- DISTRIBUTIONAL AND LOCAL LIMIT LAWS FOR A CLASS OF ITERATED MAPS THAT CONTRACT ON AVERAGE
- Extensions with shrinking fibers
- Empirical measures: regularity is a counter-curse to dimensionality
- The fine structure of the stationary distribution for a simple Markov process
- Optimal Transport
