Hausdorff dimension of sets of generic points for non-statistical dynamical systems

Authors: DOUGLAS COATES, KATRIN GELFERT

Source: Ergodic Theory and Dynamical Systems. :1-29

Subject Terms: 37A05, 37C45 37A05, FOS: Mathematics, Dynamical Systems (math.DS), Dynamical Systems

Access URL: http://arxiv.org/abs/2509.00241

Doubly Intermittent Full Branch Maps with Critical Points and Singularities: Doubly intermittent full branch maps with critical points and singularities

Authors: Douglas Coates, Stefano Luzzatto, Mubarak Muhammad

Source: Communications in Mathematical Physics. 402:1845-1878

Subject Terms: Dynamical systems involving maps of the interval, 0103 physical sciences, Dynamical aspects of measure-preserving transformations, limit theorems, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, 37E05, Measure-preserving transformations, one-dimensional full branch maps, 01 natural sciences

File Description: application/xml

Access URL: http://arxiv.org/abs/2209.12725

Persistent Non-statistical Dynamics in One-Dimensional Maps: Persistent non-statistical dynamics in one-dimensional maps

Authors: Douglas Coates, Stefano Luzzatto

Source: Communications in Mathematical Physics. 405

Subject Terms: fixed points, Dynamical aspects of measure-preserving transformations, Dynamical Systems (math.DS), one-dimensional full branch maps, 01 natural sciences, Random iteration, Dynamical systems involving maps of the interval, Fixed points and periodic points of dynamical systems, fixed-point index theory, local dynamics, 0103 physical sciences, 37A10, 37C40, 37C83, 37E05, physical measures, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics

File Description: application/xml

Access URL: http://arxiv.org/abs/2302.11411
https://zbmath.org/7831314
https://doi.org/10.1007/s00220-024-04957-0