output
19942026
most citedMedical Image Analysis using Convolutional Neural Networks: A Review

1.3k citations

Showing 2005 · math.DSShow all

6 papers · 2 filters

math.DS2005

Globally and locally attractive solutions for quasi-periodically forced systems

Michele V. Bartuccelli, Jonathan H. B. Deane, Guido Gentile

We consider a class of differential equations, , with , describing one-dimensional dissipative systems subject to a periodic or…

math.DS2005★ 2 cited

Markov extensions and lifting measures for complex polynomials

Henk Bruin, Mike Todd

For polynomials on the complex plane with a dendrite Julia set we study invariant probability measures, obtained from a reference measure. To do this we follow Keller in constr…

math.DS2005★ 190 cited

Almost Sure Invariance Principle For Nonuniformly Hyperbolic Systems

Ian Melbourne, Matthew Nicol

We prove an almost sure invariance principle that is valid for general classes of nonuniformly expanding and nonuniformly hyperbolic dynamical systems. Discrete time systems and fl…

math.DS2005

Livsic Regularity For Markov Systems

Henk Bruin, Mark Holland, Matthew Nicol

We prove measurable Livsic theorems for dynamical systems modelled by Markov Towers. Our regularity results apply to solutions of cohomological equations posed on Henon-like mappin…

math.DS2005★ 8 cited

Stable manifolds under very weak hyperbolicity conditions

Mark Holland, Stefano Luzzatto

We present an argument for proving the existence of local stable and unstable manifolds in a general abstract setting and under very weak hyperbolicity conditions.

math.DS2005★ 34 cited

Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms

Guido Gentile, Michele V. Bartuccelli, Jonathan H. B. Deane

We consider a class of second order ordinary differential equations describing one-dimensional systems with a quasi-periodic analytic forcing term and in the presence of damping. A…