Found 4,127 Documents (Results 1–100)
Weight ergodic theorems for power bounded measures on locally compact groups. (English) Zbl 07922013
Probability theory. An analytic view. (to appear). 3rd edition. (English) Zbl 07921637
Cambridge: Cambridge University Press (ISBN 978-1-00-954900-4/pbk). (2024).
A new divergence-curl result for measures: application to the two-dimensional ODE’s flow. (English) Zbl 07920204
An invitation to fractal geometry: fractal dimensions, self-similarity, and fractal curves (to appear). (English) Zbl 07917562
Graduate Studies in Mathematics 247. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7623-6/hbk; 978-1-4704-7895-7/pbk; 978-1-4704-7896-4/ebook). (2024).
Identifying the nonlinear dynamics of logistic mapping using the modified 0–1 test for chaos. (English) Zbl 07916722
A Livšic-type theorem and some regularity properties for nonadditive sequences of potentials. (English) Zbl 07906068
Proofs of ergodicity of piecewise Möbius interval maps using planar extensions. (English) Zbl 07904350
Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint. (English) Zbl 07903632
Kummer rigidity for hyperkähler automorphisms. (English) Zbl 07901424
Reviewer: Patrick Graf (Bayreuth)
On absolute continuity of the Erdős measure for the golden ratio, Tribonacci numbers, and second-order Markov chains. (English. Russian original) Zbl 07898580
Theory Probab. Appl. 69, No. 2, 265-280 (2024); translation from Teor. Veroyatn. Primen. 69, No. 1, 335-353 (2024).
Quasi-compactness of transfer operators for topological Markov shifts with holes. (English) Zbl 07896599
Singular continuous phase for Schrödinger operators over circle maps with breaks. (English) Zbl 07895053
Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map. (English) Zbl 07892744
Liouville property and Poisson boundary of random walks with infinite entropy: what’s amiss? (English. Russian original) Zbl 07885504
Funct. Anal. Appl. 58, No. 2, 160-181 (2024); translation from Funkts. Anal. Prilozh. 58, No. 2, 72-99 (2024).
Quasi-stationary distribution for strongly Feller Markov processes by Lyapunov functions and applications to hypoelliptic Hamiltonian systems. (English) Zbl 07875503
Invariant measures for place-dependent idempotent iterated function systems. (English) Zbl 1543.37010
Translates of \(S\)-arithmetic periodic orbits and applications. (English) Zbl 07874885
Reviewer: Jayadev Athreya (Seattle)
On a Markov chain related to the individual lengths in the recursive construction of Kingman’s coalescent. (English) Zbl 1542.60058
\( C^1\)-genericity of unbounded distortion for ergodic conservative expanding circle maps. (English) Zbl 07869082
Physical measures for partially hyperbolic diffeomorphisms with mixed hyperbolicity. (English) Zbl 07867508
Absolutely continuous invariant measures for random dynamical systems of beta-transformations. (English) Zbl 07867494
Entropic transfer operators. (English) Zbl 07867486
Deep learning-based state prediction of the Lorenz system with control parameters. (English) Zbl 07861822
De Broglie-Bohm analysis of a nonlinear membrane: from quantum to classical chaos. (English) Zbl 07855197
A Monte Carlo approach to understanding the impacts of initial-condition uncertainty, model uncertainty, and simulation variability on the predictability of chaotic systems: perspectives from the one-dimensional logistic map. (English) Zbl 07853415
Singular continuous phase for Schrödinger operators over circle maps. (English) Zbl 07850207
Reviewer: Steve Pederson (Atlanta)
Physical measures under the hyperbolicity of pseudo-physical measures. (English) Zbl 07850184
Reviewer: William J. Satzer Jr. (St. Paul)
Linear implicit approximations of invariant measures of semi-linear SDEs with non-globally Lipschitz coefficients. (English) Zbl 07849568
Limit theorems for self-intersecting trajectories in \(\mathbb{Z}\)-extensions. (English) Zbl 07846290
Gradient flow of the Sinai-Ruelle-Bowen entropy. (English) Zbl 07845301
Reviewer: Pengfei Zhang (Norman)
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps. (English) Zbl 1543.37082
Solving the cohomological equation for locally Hamiltonian flows. I: Local obstructions. (English) Zbl 07842513
Reviewer: Zdzisław Dzedzej (Gdańsk)
Learning dynamical systems from data: a simple cross-validation perspective. V: Sparse kernel flows for 132 chaotic dynamical systems. (English) Zbl 1543.37079
Estimate exponential memory decay in hidden Markov model and its applications to inference. (English) Zbl 1543.37084
Computability in dynamical systems. (English) Zbl 1542.37068
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 85-98 (2024).
Polymorphisms, their associated operator theory, self-similar fractals, and harmonic analysis. (English) Zbl 07840357
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 37-59 (2024).
Around the asymptotic properties of a two-dimensional parametrized Euler flow. (English) Zbl 1541.34064
Area-preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous. (English) Zbl 07837929
Damjanović, Danijela (ed.) et al., A vision for dynamics in the 21st century. The legacy of Anatole Katok. Based on a memorial conference, Będlewo, Poland, August 2019. Cambridge: Cambridge University Press. 337-383 (2024).
Reviewer: Pengfei Zhang (Norman)
A dynamical approach to validated numerics. (English) Zbl 07837924
Damjanović, Danijela (ed.) et al., A vision for dynamics in the 21st century. The legacy of Anatole Katok. Based on a memorial conference, Będlewo, Poland, August 2019. Cambridge: Cambridge University Press. 168-206 (2024).
Reviewer: Pierre-Antoine Guihéneuf (Paris)
SRB and equilibrium measures via dimension theory. (English) Zbl 07837922
Damjanović, Danijela (ed.) et al., A vision for dynamics in the 21st century. The legacy of Anatole Katok. Based on a memorial conference, Będlewo, Poland, August 2019. Cambridge: Cambridge University Press. 94-138 (2024).
Reviewer: Katrin Gelfert (Rio de Janeiro)
A Lyapunov approach to stability of positive semigroups: an overview with illustrations. (English) Zbl 07834380
Equidistribution in the space of 3-lattices and Dirichlet-improvable vectors on planar lines. (English) Zbl 1543.37004
Reviewer: Thomas B. Ward (Durham)
Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. (English) Zbl 1537.37002
Contemporary Mathematics 797. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7216-0/pbk; 978-1-4704-7610-6/ebook). x, 257 p. (2024).
(Non)-penalized multilevel methods for non-uniformly log-concave distributions. (English) Zbl 1536.65008
Correction to: “Stationary probability measures on projective spaces 1: block-Lyapunov dominated systems”. (English) Zbl 07826807
A dichotomy for the dimension of SRB measure. (English) Zbl 07826186
Reviewer: Luis Hernández Corbato (Madrid)
Berry-Esseen bound and local limit theorem for the coefficients of products of random matrices. (English) Zbl 1543.60008
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
Closed geodesics with prescribed intersection numbers. (English) Zbl 07822004
Reviewer: Patrick Eberlein (Chapel Hill)
Specific properties of the ODE’s flow in dimension two versus dimension three. (English) Zbl 1543.37030
Stationary probability measures on projective spaces 1: block-Lyapunov dominated systems. (English) Zbl 07808063
Math. Ann. 388, No. 3, 2573-2610 (2024); correction ibid. 388, No. 4, 4513 (2024).
On spectral measures and convergence rates in von Neumann’s ergodic theorem. (English) Zbl 1539.37006
Reviewer: Thomas B. Ward (Durham)
SRB measures for \(C^{\infty}\) surface diffeomorphisms. (English) Zbl 1539.37031
Reviewer: William J. Satzer Jr. (St. Paul)
Maximal measure and entropic continuity of Lyapunov exponents for \({\mathcal{C}}^r\) surface diffeomorphisms with large entropy. (English) Zbl 1537.37048
Reviewer: Thomas B. Ward (Durham)
On bifurcation of statistical properties of partially hyperbolic endomorphisms. (English) Zbl 1541.37037
Information theory for complex systems. An information perspective on complexity in dynamical systems and statistical mechanics. (English) Zbl 1539.37001
Understanding Complex Systems; Springer: Complexity. Berlin: Springer (ISBN 978-3-662-68212-8/hbk; 978-3-662-68372-9/pbk; 978-3-662-68214-2/ebook). xi, 153 p. (2024).
On the prevalence of the periodicity of maximizing measures. (English) Zbl 1542.37011
Reviewer: Antonio Linero Bas (Murcia)
A viscous ergodic problem with unbounded and measurable ingredients. I: HJB equation. (English) Zbl 1532.35124
Automorphic measures and invariant distributions for circle dynamics. (English) Zbl 07794039
Reviewer: Arnaud Chéritat (Toulouse)
The “zero-two” law in Orlicz-Kantorovich spaces. (English) Zbl 1535.37007
Reviewer: Thomas B. Ward (Durham)
Cramér distance and discretizations of circle expanding maps. II: Simulations. (English) Zbl 1539.37093
Reviewer: Mohammad Sajid (Buraydah)
Topological pressure for conservative \(C^1\)-diffeomorphisms with no dominated splitting. (English) Zbl 07792701
A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature. (English) Zbl 1535.37030
Decay of correlations for some non-uniformly hyperbolic attractors. (English) Zbl 1541.37034
Reviewer: Nicolae Lupa (Timişoara)
Thermodynamical \(u\)-formalism. I: Measures of maximal \(u\)-entropy for maps that factor over Anosov. (English) Zbl 1539.37042
Reviewer: Deliang Chen (Wenzhou)
Auxiliary functions as Koopman observables: data-driven analysis of dynamical systems via polynomial optimization. (English) Zbl 07765725
Exponential decay of random correlations for random Anosov systems mixing on fibers. (English) Zbl 1535.37058
Reviewer: Marks Ruziboev (Wien)
The central limit theorem for Markov processes that are exponentially ergodic in the bounded-Lipschitz norm. (English) Zbl 1540.60174
Reviewer: Fraser Daly (Edinburgh)
Generalized notions of continued fractions. Ergodicity and number theoretic applications. (English) Zbl 1537.11001
Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-51678-3/hbk; 978-1-032-51818-3/pbk; 978-1-003-40406-4/ebook). xi, 141 p. (2024).
Reviewer: Marcel G. de Bruin (Heemstede)
On difference Riccati equation and continued fractions. arXiv:2410.07730
Preprint, arXiv:2410.07730 [math.DS] (2024).
Absolute continuity of stationary measures. arXiv:2409.18252
Preprint, arXiv:2409.18252 [math.DS] (2024).
Entropy, cocycles, and their diagrammatics. arXiv:2409.08462
Preprint, arXiv:2409.08462 [math.KT] (2024).
Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces. arXiv:2408.14091
Preprint, arXiv:2408.14091 [math.DG] (2024).
Ziv-Merhav estimation for hidden-Markov processes. arXiv:2408.08809
Preprint, arXiv:2408.08809 [cs.IT] (2024).
Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations. arXiv:2407.07451
Preprint, arXiv:2407.07451 [math.NA] (2024).
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