The capacity of string-duplication systems

Farzad Farnoud; Moshe Schwartz; Jehoshua Bruck

doi:10.1109/ISIT.2014.6875043

The capacity of string-duplication systems

Farzad Farnoud, Moshe Schwartz, Jehoshua Bruck

Department of Electrical & Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

It is known that the majority of the human genome consists of repeated sequences. Furthermore, it is believed that a significant part of the rest of the genome also originated from repeated sequences and has mutated to its current form. In this paper, we investigate the possibility of constructing an exponentially large number of sequences from a short initial sequence and simple duplication rules, including those resembling genomic duplication processes. In other words, our goal is to find out the capacity, or the expressive power, of these string-duplication systems. Our results include the exact capacities, and bounds on the capacities, of four fundamental string-duplication systems.

Original language	English
Title of host publication	2014 IEEE International Symposium on Information Theory, ISIT 2014
Publisher	Institute of Electrical and Electronics Engineers
Pages	1301-1305
Number of pages	5
ISBN (Print)	9781479951864
DOIs	https://doi.org/10.1109/ISIT.2014.6875043
State	Published - 1 Jan 2014
Event	2014 IEEE International Symposium on Information Theory, ISIT 2014 - Honolulu, HI, United States Duration: 29 Jun 2014 → 4 Jul 2014

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095

Conference

Conference	2014 IEEE International Symposium on Information Theory, ISIT 2014
Country/Territory	United States
City	Honolulu, HI
Period	29/06/14 → 4/07/14

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

Access to Document

10.1109/ISIT.2014.6875043

Cite this

@inproceedings{a7f732a393244f7992c0706bddd3a60d,

title = "The capacity of string-duplication systems",

abstract = "It is known that the majority of the human genome consists of repeated sequences. Furthermore, it is believed that a significant part of the rest of the genome also originated from repeated sequences and has mutated to its current form. In this paper, we investigate the possibility of constructing an exponentially large number of sequences from a short initial sequence and simple duplication rules, including those resembling genomic duplication processes. In other words, our goal is to find out the capacity, or the expressive power, of these string-duplication systems. Our results include the exact capacities, and bounds on the capacities, of four fundamental string-duplication systems.",

author = "Farzad Farnoud and Moshe Schwartz and Jehoshua Bruck",

year = "2014",

month = jan,

day = "1",

doi = "10.1109/ISIT.2014.6875043",

language = "English",

isbn = "9781479951864",

series = "IEEE International Symposium on Information Theory - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers",

pages = "1301--1305",

booktitle = "2014 IEEE International Symposium on Information Theory, ISIT 2014",

address = "United States",

note = "2014 IEEE International Symposium on Information Theory, ISIT 2014 ; Conference date: 29-06-2014 Through 04-07-2014",

}

Farnoud, F, Schwartz, M & Bruck, J 2014, The capacity of string-duplication systems. in 2014 IEEE International Symposium on Information Theory, ISIT 2014., 6875043, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers, pp. 1301-1305, 2014 IEEE International Symposium on Information Theory, ISIT 2014, Honolulu, HI, United States, 29/06/14. https://doi.org/10.1109/ISIT.2014.6875043

The capacity of string-duplication systems. / Farnoud, Farzad; Schwartz, Moshe; Bruck, Jehoshua.
2014 IEEE International Symposium on Information Theory, ISIT 2014. Institute of Electrical and Electronics Engineers, 2014. p. 1301-1305 6875043 (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - The capacity of string-duplication systems

AU - Farnoud, Farzad

AU - Schwartz, Moshe

AU - Bruck, Jehoshua

PY - 2014/1/1

Y1 - 2014/1/1

N2 - It is known that the majority of the human genome consists of repeated sequences. Furthermore, it is believed that a significant part of the rest of the genome also originated from repeated sequences and has mutated to its current form. In this paper, we investigate the possibility of constructing an exponentially large number of sequences from a short initial sequence and simple duplication rules, including those resembling genomic duplication processes. In other words, our goal is to find out the capacity, or the expressive power, of these string-duplication systems. Our results include the exact capacities, and bounds on the capacities, of four fundamental string-duplication systems.

AB - It is known that the majority of the human genome consists of repeated sequences. Furthermore, it is believed that a significant part of the rest of the genome also originated from repeated sequences and has mutated to its current form. In this paper, we investigate the possibility of constructing an exponentially large number of sequences from a short initial sequence and simple duplication rules, including those resembling genomic duplication processes. In other words, our goal is to find out the capacity, or the expressive power, of these string-duplication systems. Our results include the exact capacities, and bounds on the capacities, of four fundamental string-duplication systems.

UR - http://www.scopus.com/inward/record.url?scp=84906543002&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2014.6875043

DO - 10.1109/ISIT.2014.6875043

M3 - Conference contribution

AN - SCOPUS:84906543002

SN - 9781479951864

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 1301

EP - 1305

BT - 2014 IEEE International Symposium on Information Theory, ISIT 2014

PB - Institute of Electrical and Electronics Engineers

T2 - 2014 IEEE International Symposium on Information Theory, ISIT 2014

Y2 - 29 June 2014 through 4 July 2014

ER -

The capacity of string-duplication systems

Abstract

Publication series

Conference

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this