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Filtering by: Advisor Burton Jr, Robert M. Remove constraint Advisor: Burton Jr, Robert M.

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A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

Creator:

Rockwell, Daniel Luke

Abstract:

The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...

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Dissertation

Full Text:

, and New Demonstrations of, the Borel Normal Number Theorem Abstract approved: Robert M. Burton The
Notions of complexity in substitution dynamical systems

Creator:

Wing, David Josiah

Abstract:

There has been a lot of work done in recent decades in the field of symbolic dynamics. Much attention has been paid to the so-called "complexity" function, which gives a sense of the rate at which the number of words in the system grow. In this paper, we explore this...

Resource Type:

Dissertation

Full Text:

in Substitution Dynamical Systems Abstract approved: Robert M. Burton There has been a lot of work
On straight line representations of random planar graphs

Creator:

Choi, In-kyeong

Resource Type:

Dissertation
One-dependence and k-block factors

Creator:

Goulet, Marc

Resource Type:

Dissertation
Central limit theorems for associated random fields with applications

Creator:

Kim, Tae-sung

Abstract:

A functional central limit theorem for a strictly stationary associated random field in the general d-dimension case with an added moment condition is proven. Functional central limit theorems for associated random measures are also proven. More specifically, conditions are given that imply weak convergence in the Skorohod topology of a...

Resource Type:

Dissertation
Dependent site percolation models

Creator:

Krouss, Paul R.

Resource Type:

Dissertation
Large deviation principles for random measures

Creator:

Hwang, Dae-sik

Abstract:

Large deviation theory has experienced much development and interest in the last two decades. A large deviation principle is the exponential decay of the probability of increasingly rare events and the computation of a rate or entropy function which measures the rate of decay. Within the probability literature there has...

Resource Type:

Dissertation
Densities and dependence for point processes

Creator:

Franzosa, Marie M.

Abstract:

Product densities have been widely used in the literature to give a concrete description of the distribution of a point process. A rigorous description of properties of product densities is presented with examples to show that in some sense these results are the best possible. Product densities are then used...

Resource Type:

Dissertation
One-dimensional Kohonen maps are super-stable with exponential rate

Creator:

Plaehn, David C.

Resource Type:

Dissertation
Computing entropy for Z²-actions

Creator:

Pierce, Larry A.

Abstract:

For a certain class of Z²-actions, we provide a proof of a conjecture that the ratio of the Perron eigenvalues of the transfer matrices of the free boundary restrictions converge to the entropy of that action. Also, a novel method for computing the entropy of Z²-actions is conjectured.

Resource Type:

Dissertation

Full Text:

: Computing Entropy for Z2-actions Abstract Approved: Robert M. Burton Abstract: For a certain class of Z2

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Academic Affiliation

Mathematics12

Advisor

Burton, Robert M., jr.12
Burton, Robert M.2

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1986 to 2012

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Committee Member

Garity, Dennis2
Schmidt, Tom2
Bogley, William1
Budd, Timothy A.1
Chen, L.1
more Committee Members »

Creator

Choi, In Kyeong1
Franzosa, Marie M.1
Goulet, Marc1
Hwang, Dae Sik1
Kim, Tae Sung1
more Creators »

Date

Date range begin – Date range end

Current results range from 1985 to 2011

View distribution

Decade

2010-20192
2000-20093
1990-19996
1980-19893

Degree Field

Mathematics14
Computer Science1

Degree Level

Doctoral10
Bachelor's2
Master's2

Degree Name

Doctor of Philosophy (Ph.D.)10
Honors Bachelor of Science (H.B.S.)2
Master of Science (M.S.)2

Language

English [eng]14

License

All rights reserved4

Non-Academic Affiliation

Oregon State University. Graduate School12
Oregon State University. Honors College2

Peer Reviewed

No14

Resource Type

Dissertation10
Honors College Thesis2
Masters Thesis2

Rights Statement

Copyright Not Evaluated9
In Copyright5

Subject

Artificial intelligence1
Bernoulli numbers1
Central limit theorem1
Entropy (Information theory)1
Fibonacci numbers1
more Subjects »

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