Cover Image

On the Ziv-Merhav theorem beyond Markovianity II: leveraging the thermodynamic formalism

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Barnfield, Nicholas, Grondin, Raphaël, Pozzoli, Gaia, Raquépas, Renaud
Format:	Preprint
Published:	2023
Subjects:	Probability Information Theory Dynamical Systems 94A17, 37M25, 60F15, 37D35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Ziv-Merhav theorem beyond Markovianity
by: Barnfield, Nicholas, et al.
Published: (2023)

Ziv-Merhav estimation for hidden-Markov processes
by: Barnfield, Nicholas, et al.
Published: (2024)

Large deviations of return times and related entropy estimators on shift spaces
by: Cuneo, Noé, et al.
Published: (2023)

Random attractors and nonergodic attractors for diffusions with degeneracies
by: Bakhtin, Yuri, et al.
Published: (2025)

Stability of the Shannon--McMillan--Breiman Theorem under Sublinear Parsings
by: Grondin, Raphael
Published: (2026)

Geodesics and dynamical information projections on the manifold of Hölder equilibrium probabilities
by: Lopes, Artur O., et al.
Published: (2022)

Enriched functional limit theorems for dynamical systems
by: Freitas, Ana Cristina Moreira, et al.
Published: (2020)

A functional limit theorem for a dynamical system with an observable maximised on a Cantor set
by: Couto, Raquel, et al.
Published: (2025)

Convergence to decorated Lévy processes in non-Skorohod topologies for dynamical systems
by: Freitas, Ana Cristina Moreira, et al.
Published: (2023)

Sinai factors of nonsingular systems: Bernoulli shifts and Anosov flows
by: Kosloff, Zemer, et al.
Published: (2021)

Ergodicity for Ginzburg-Landau equation with complex-valued space-time white noise on two-dimensional torus
by: Chen, Huiping, et al.
Published: (2024)

Uniform-in-diffusivity mixing by shear flows: stochastic and dynamical perspectives
by: Liss, Kyle L., et al.
Published: (2026)

Basic thermodynamical formalism for sandwich subshifts
by: Kułaga-Przymus, Joanna, et al.
Published: (2024)

Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
by: Bedrossian, Jacob, et al.
Published: (2025)

Local limit theorem of Brownian motion on metric trees
by: Hong, Soonki
Published: (2024)

On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients
by: Stadlbauer, Manuel, et al.
Published: (2017)

Subexponential lower bounds for $f$-ergodic Markov processes
by: Brešar, Miha, et al.
Published: (2024)

Regenerative processes for Poisson zero polytopes
by: Martínez, Servet, et al.
Published: (2017)

Statistical Limit Theorems for Axiom A Diffeomorphisms: Exponential Mixing, Central Limit Theorem, and Large Deviations
by: Thiam, Abdoulaye
Published: (2026)

Error bounds in a smooth metric for Brownian approximation of dynamical systems via Stein's method
by: Leppänen, Juho, et al.
Published: (2025)

Permutation invariance in last-passage percolation and the distribution of the Busemann process
by: Bates, Erik, et al.
Published: (2025)

Ergodicity for SPDEs driven by divergence-free transport noise
by: Gess, Benjamin, et al.
Published: (2026)

Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows
by: Melbourne, Ian, et al.
Published: (2025)

Population dynamics under demographic and environmental stochasticity
by: Hening, Alexandru, et al.
Published: (2022)

Quenched limit theorems via mixing of all orders for random dynamical systems
by: Auer, Max
Published: (2026)

Quenched invariance principle with a rate for random dynamical systems
by: Liu, Zhenxin, et al.
Published: (2025)

Shocks and instability in Brownian last-passage percolation
by: Rassoul-Agha, Firas, et al.
Published: (2024)

Lagrangian chaos for the 2D Navier-Stokes equations driven by mildly degenerate noise
by: Chen, Dengdi, et al.
Published: (2026)

Lagrangian chaos for the 2D Boussinesq equations with a degenerate random forcing
by: Chen, Dengdi, et al.
Published: (2026)

On an extension of a theorem by Ruelle to long-range potentials
by: van Enter, Aernout C. D., et al.
Published: (2024)

The equivalence of precompactness, zero maximal pattern entropy and bounded mean complexity for finite partitions
by: Li, Jian, et al.
Published: (2026)

Once-Reinforced and Self-Interacting Random Walks beyond exchangeability
by: Collevecchio, Andrea, et al.
Published: (2025)

Exponential ergodicity in the bounded-Lipschitz distance for a subclass of piecewise-deterministic Markov processes with random switching between flows
by: Czapla, Dawid, et al.
Published: (2020)

Convergence of space-time occupation measures of stochastic processes and its application to collisions
by: Noda, Ryoichiro
Published: (2025)

Generalized law of iterated logarithm for the Lorentz gas with infinite horizon
by: Bálint, Péter, et al.
Published: (2024)

Tropical thermodynamic formalism
by: Li, Zhiqiang, et al.
Published: (2024)

Return Times Distribution of Expanding Maps
by: Haydn, Nicolai T A
Published: (2025)

Higher order return times for $ϕ$-mixing measures
by: Haydn, Nicolai T A, et al.
Published: (2025)

Computable thermodynamic formalism
by: Binder, Ilia, et al.
Published: (2025)

Transfer Operators and SRB Measures for Axiom A Diffeomorphisms: Spectral Gap, Structural Stability, and the Gibbs Equivalence Theorem
by: Thiam, Abdoulaye
Published: (2026)