UNT Math Millican Talk: Dr. Joseph Vandehey (University of Texas at Tyler) 11/10/2025 скачать в хорошем качестве

UNT Math Millican Talk: Dr. Joseph Vandehey (University of Texas at Tyler) 11/10/2025

UNT Mathematics Millican Lectures Presents Dr. Joseph Vandehey from the University of Texas at Tyler Creating Randomness In An Orderly Fashion Take the positive integers in order and concatenate them after the decimal point. The resulting number 0.1234567891011121314⋯ is known as Champernowne's constant. Despite being built in such a simple, mechanical way, this constant satisfies a simple test for randomness: all finite sequences of digits appear as often in Champernowne's constant as they do in the typical randomly chosen real number. One reason for this surprising result is that decimal expansions are quite nice digitally. Every digit is as likely to occur as any other digit. Do such simple, mechanical constructions for randomness occur if we alter the expected frequencies of the digits? We will showcase some results showing that the answer is yes in many cases, as well as a new result for Bernoulli shifts of finite entropy. Dr. Vandehey is a professor of Mathematics at the University of Texas at Tyler. He studies the intersection of number theory and ergodic theory, with particular interest in the way that numbers are expressed as digital expansions, such as continued fractions or beta-expansions. He received his Ph.D. from the University of Illinois at Urbana-Champaign. Millican lectures are made possible through the generosity of Mr. Olin Moore Millican (1904-1999), who established the Roy McLeod Millican Memorial Fund in honor of his brother. For more information, visit: https://math.unt.edu/research/colloqu... Join the conversations! Instagram:   / untmathematics   / @untmathematics Like, Share, and Subscribe!    / @untmathematics   / untmathematics #UNT #UNTMath #mathematics #science #education