Date of Submission

7-28-1961

Date of Award

7-28-1962

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Mathematics

Department

Research and Training School (RTS)

Supervisor

Rao, C. Radhakrishna (RTS-Kolkata; ISI)

Abstract (Summary of the Work)

The subject of ergodic theory which is the mathematical outgrowth of the gas problem in statistical machines and the subject of information theory which in the mathematical outgrowth of the problem of information transmission through communication channels have many interesting dual features. In ergodic theory we study collectively and individually the measure preserving transformations of a first measure space, where as in information theory we do the same with the set of all measured in variant under a fixed measurable transformation of a measurable space. The object of this thesis it to study some of the dual relations between the two theories with emphasis on the informations-theoretic aspect.

Comments

ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28842992

Control Number

ISILib-C5965

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/2146

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