13 citations · 16 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
Absolutely Continuous Invariant measures for non-autonomous dynamical systems
Pawel Gora, Abraham Boyarsky, Christopher Keefe
We consider the non autonomous dynamical system where is a continuous map and is a compact metric space. We assume that conve…
Singular SRB measures for a non 1--1 map of the unit square
Pawel Góra, Abraham Boyarsky, Zhenyang Li
We consider a map of the unit square which is not 1--1, such as the memory map studied in \cite{MwM1}. Memory maps are defined as follows: $x_{n+1}=M_α(x_{n-1},x_{n})=τ(α\cdot x_{n…
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(…
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…
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…