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NEW EXAMPLES OF S-UNIMODAL MAPS WITH A SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
S-UNIMODAL MAPS SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
2015/9/25
We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps ϕ which do not have a finite absolutely continuous invariant measure, but do have...
Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure
Empirical Estimators Stochastically Forced Nonlinear Systems Invariant Measure Optimization and Control
2012/4/18
We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation tha...
Asymptotics of the Invariant Measure in Mean Field Models with Jumps
decoupling approximation fluid limit invariant measure McKean-Vlasov equation mean field limit small noise limit
2011/9/16
Abstract: We consider the asymptotics of the invariant measure for the process of the spatial distribution of $N$ coupled Markov chains in the limit of a large number of chains. Each chain reflects th...
One invariant measure and different Poisson brackets for two nonholonomic systems
Poisson nonholonomic Chaplygin Borisov-Mamaev-Fedorov system
2011/7/5
We discuss the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for
which symplectic forms are different deformations of the square root from the corresponding
invariant volume form. I...
Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation
Stochastic reaction-di usion equation Invariant measure Large deviations
2011/1/21
We study the invariant measure of a discretized stochastic Allen-Cahn equation in d+1 dimensions in the low noise limit. We consider a cuboidal domain and impose the two stable
phases as boundary con...
A non-ergodic probabilistic cellular automaton with a unique invariant measure
Probabilistic cellular automaton interacting particle system ergodicity
2010/12/15
We exhibit a Probabilistic Cellular Automaton (PCA) on {0, 1}Z with a neighborhood of size 2 which is non-ergodic although it has a unique invariant measure.This answers by the negative an old open qu...
Scaling Equation for Invariant Measure
invariant measure iterated system scaling equations wavelet transform
2007/8/15
2003Vol.39No.3pp.295-296DOI:
Scaling Equation for Invariant Measure
LIU Shi-Kuo,1 FU Zun-Tao,1,2 LIU Shi-Da,1,2
and REN Kui1
1 School of Physics, Peking University, Beij...