Imperial College London

Professor Henrik Jeldtoft Jensen

Faculty of Natural SciencesDepartment of Mathematics

Senior Research Investigator
 
 
 
//

Contact

 

+44 (0)20 7594 9853h.jensen Website

 
 
//

Location

 

1201Electrical EngineeringSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Pazuki:2021:2399-6528/ac1f74,
author = {Pazuki, R and Jensen, HJ},
doi = {2399-6528/ac1f74},
journal = {Journal of Physics Communications},
pages = {1--24},
title = {New probability distribution describing emergence in state space},
url = {http://dx.doi.org/10.1088/2399-6528/ac1f74},
volume = {5},
year = {2021}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We revisit the pairing model of state spaces with new emergent states introduced in J. Phys. A: Math. Theor. 51 375002, 2018. We facilitate our analysis by introducing a simplified pairing model consisting of balls able to form pairs but without any internal structure. For both the simplified and the original model we compute exactly the probability distribution for observing a state with $n_p$ pairs. We show this distribution satisfies a large deviation principle with speed $n \ln(n)$. We present closed form expressions for a variety of statistical quantities including moments and marginal distributions.
AU - Pazuki,R
AU - Jensen,HJ
DO - 2399-6528/ac1f74
EP - 24
PY - 2021///
SN - 2399-6528
SP - 1
TI - New probability distribution describing emergence in state space
T2 - Journal of Physics Communications
UR - http://dx.doi.org/10.1088/2399-6528/ac1f74
UR - https://iopscience.iop.org/article/10.1088/2399-6528/ac1f74
UR - http://hdl.handle.net/10044/1/91239
VL - 5
ER -