View Proposal #478
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ID | 478 |
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First Name | Diego |
Last Name | Rojas |
Institution | Iowa State University |
Speaker Category | graduate student |
Title of Talk | Differentiation of Functions on the Cantor Space and Connections to Real-Valued Functions |
Abstract | The notion of online functions of the Cantor space $2^{\mathbb{N}}$, and more generally, of continuous and of computable functions on $2^{\mathbb{N}}$, have been studied recently in connection with algorithmic randomness. In this talk, we present a notion of the derivative of functions on $2^{\mathbb{N}}$, and we establish some connections between functions and their derivatives on $2^{\mathbb{N}}$ and on $\mathbb{R}$, where we can represent real-valued functions as functions acting on the dyadic representation of real numbers. This is joint work with Douglas Cenzer. |
Subject area(s) | Computability Theory, Analysis |
Suitable for undergraduates? | Y |
Day Preference | SaturdayStrong |
Computer Needed? | Y |
Bringing a laptop? | |
Overhead Needed? | Y |
Software requests | |
Special Needs | |
Date Submitted | 10/06/2017 |
Year | 2017 |