activity
20062019
most cited-like maps with various instabilities of acim's

7 citations · 9 across the 6 of their papers we have counts for

collaborators

7 papers

math.DS2019

An Extreme Metastable Model for Quantum Measurement

Abraham Boyarsky, Paweł Góra, Zhenyang Li

Quantum experiments are observed as probability density functions. We often encounter multi-peaked densities which we model in this paper by a metastable dynamical system. The dyna…

math.DS2016

Statistical and Deterministic Dynamics of Maps with Memory

Paweł Góra, Abraham Boyarsky, Zhenyang Li +1

We consider a dynamical system to have memory if it remembers the current state as well as the state before that. The dynamics is defined as follows: $x_{n+1}=T_α(x_{n-1},x_{n})=τ(…

math.DS2014★ 1 cited

Toward A Mathematical Holographic Principle

Paweł Góra, Zhenyang Li, Abraham Boyarsky +1

In work started in [17] and continued in this paper our objective is to study selectors of multivalued functions which have interesting dynamical properties, such as possessing abs…

math.DS2013

Selections and their Absolutely Continuous Invariant Measures

A. Boyarsky, P. Góra, Zh. Li

Let and consider disjoint closed regions in and subintervals such that projects onto We define the…

math.DS2011

Instability of Isolated Spectrum for W-shaped Maps

Zhenyang Li, Paweł Góra

In this note we consider -shaped map with and show that eigenvalue 1 is not stable. We do this in a constructive way. For eac…

math.DS2011★ 7 cited

-like maps with various instabilities of acim's

Zhenyang Li

This paper generalizes the results of [13] and then provides an interesting example. We construct a family of -like maps with a turning fixed point having slope …