Recurrence times, waiting times and universal entropy production estimators

09/20/2022
by   Giampaolo Cristadoro, et al.
0

The universal typical-signal estimators of entropy and cross entropy based on the asymptotics of recurrence and waiting times play an important role in information theory. Building on their construction, we introduce and study universal typical-signal estimators of entropy production in the context of nonequilibrium statistical mechanics of one-sided shifts over finite alphabets.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
09/20/2022

On a waiting-time result of Kontoyiannis: mixing or decoupling?

We introduce conditions of lower decoupling to the study of waiting-time...
research
11/14/2018

The case for shifting the Renyi Entropy

We introduce a variant of the Rényi entropy definition that aligns it wi...
research
03/10/2020

On a Class of Markov Order Estimators Based on PPM and Other Universal Codes

We investigate a class of estimators of the Markov order for stationary ...
research
07/05/2021

Time-irreversibility tests for random-length time series: the matching-time approach applied to DNA

In this work we implement the so-called matching time estimators for est...
research
03/09/2021

The state dependence of integrated, instantaneous, and fluctuating entropy production in quantum and classical processes

Given a fixed physical process, we consider the entropy production (EP) ...
research
09/23/2020

Estimating entropy rate from censored symbolic time series: a test for time-irreversibility

In this work we introduce a method for estimating entropy rate and entro...
research
11/09/2018

Streaming Generalized Cross Entropy

We propose a new method to combine adaptive processes with a class of en...

Please sign up or login with your details

Forgot password? Click here to reset