1k citations
- Santa Fe InstituteUS5 papers
- University of Illinois Urbana-ChampaignUS4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Institute for Advanced StudyUS3 papers
- Johns Hopkins UniversityUS3 papers
- Kyoto UniversityJP3 papers
- Michigan UnitedUS3 papers
- University of California, DavisUS3 papers
- University of Illinois ChicagoUS3 papers
- University of Wisconsin–MadisonUS3 papers
- École Normale Supérieure de LyonFR2 papers
- Hebrew University of JerusalemIL2 papers
7 papers · 1 filter
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
Jeffrey C. Lagarias, Eric Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y) = (F_{ab}(x)- y, x) of the plane R^2, in which F_{ab}(x)= ax if x>0 and bx if x<0. These maps are area-prese…
Density of Orbits in Complex Dynamics
John E. Fornaess, Berit Stensones
The authors discuss a question by Cerveau concerning density of orbits in complex dynamics
On the Classification of Cartan Actions
Boris Kalinin, Ralf Spatzier
We study higher rank Cartan actions on compact manifolds preserving an ergodic measure with full support. In particular, we classify actions by with whose one-pa…
Discrete variational principles and Hamilton-Jacobi theory for mechanical systems and optimal control problems
Vincent M. Guibout, Anthony M. Bloch
In this paper we present a general framework that allows one to study discretization of certain dynamical systems. This generalizes earlier work on discretization of Lagrangian and…
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles
Jeffrey C. Lagarias, Eric M. Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y)=(F_{ab}(x)-y,x) of the plane R^2, in which F_{ab}(x)=ax if x>=0 and bx if x<0. The orbits under iteration co…
Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers
Jeffrey C. Lagarias, Eric Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y) = (F_{ab}(x)-y,x) of the plane R^2, in which F_{ab}(x)=ax if x>=0 and bx if x<0. The orbits under iteration…