Observable Optimal State Points of Subadditive Potentials

نویسندگان

  • Eleonora Catsigeras
  • Yun Zhao
چکیده

For a sequence of subadditive potentials, a method of choosing state points with negative growth rates for an ergodic dynamical system was given in [5]. This paper first generalizes this result to the non-ergodic dynamics, and then proves that under some mild additional hypothesis, one can choose points with negative growth rates from a positive Lebesgue measure set, even if the system does not preserve any measure that is absolutely continuous with respect to Lebesgue measure.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Variational principle for subadditive sequence of potentials in bundle RDS

The topological pressure is defined for subadditive sequence of potentials in bundle random dynamical systems. A variational principle for the topological pressure is set up in a very weak condition. The result may have some applications in the study of multifractal analysis for random version of nonconformal dynamical systems.

متن کامل

On a class of subadditive duals for the uncapacitated facility location problem

A family of subadditive functions which contains the optimal solution of subadditive duals for integer programs has been presented by Klabjan (2007). In this paper we present a subadditive dual ascent procedure to find an optimal subadditive dual function based on Klabjan’s generator subadditive function. Then we use the proposed method to solve the so called uncapacitated facility location pro...

متن کامل

Relative local variational principles for subadditive potentials

We prove two relative local variational principles of topological pressure functions P (T,F ,U , y) and P (T,F ,U|Y ) for a given factor map π, an open cover U and a subadditive sequence of real-valued continuous functions F . By proving the upper semi-continuity and affinity of the entropy maps h{·}(T,U | Y ) and h+{·}(T,U | Y ) on the space of all invariant Borel probability measures, we show...

متن کامل

Evidence for long-range spatiotemporal interactions in infant and adult visual cortex

The development of spatiotemporal interactions giving rise to classical receptive field properties has been well studied in animal models, but little is known about the development of putative nonclassical mechanisms in any species. Here we used visual evoked potentials to study the developmental status of spatiotemporal interactions for stimuli that were biased to engage long-range spatiotempo...

متن کامل

Optimal Control of Partiality Observable Markov Processes over a Finite Horizon

This report presents an approach to find exact solution of optimal control of POMDPs (Partiality Observable Markov Decision Process) over a finite horizon under having a few reasonable assumptions. The approach only considers finite-state Markov processes. By comparing MDPs and PODMPs from optimal control policies point of view, it will be demonstrated that solving POMDPs is harder than solving...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012