View Proposal #478
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| ID | 478 |
|---|---|
| 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 |