The Dimension Spectrum of the Infinitely Generated Apollonian Gasket
Established that the dimension spectrum of the Apollonian gasket is full using computer assisted proof techniques.
Professional Summary
Erik Wendt is an Applied Mathematician who recently graduated with a Ph.D. from the University of Connecticut. His research focuses on combining ideas from Applied Mathematics and Pure Mathematics, using each area to enhance the other. Additionally, he is a dedicated educator, who was lead instructor for more than 10 different courses in his time at UConn. Outside of work, Erik is an avid lindy hopper, trombone player, hiker, and reader.
Education
Ph.D. Applied Mathematics
University of Connecticut
BA Mathematics
Gettysburg College
Interests
Dynamical Systems
Numerical Analysis
Ergodic Theory
Thermodynamic Formalism
Conformal Fractals
Finite Element Methods
Machine Learning
📚 My Research
I’m a Pure and Applied Mathematician interested in dynamical systems, theormodynamics, finite elements, operator theory, and fractals. I recently obtained my Ph.D. in Applied Mathematics at UConn, and I am excited to apply these skills to many different areas in academia or industry. I blog about numerical analysis, dynamical systems, data science, and whatever else I find interesting at the time.
I apply a range of quantitative methods to comprehensively investigate the impact and effectiveness of various mathematical models to real life scenarios. There are a billion things I would like to learn, and I will get through them one at time.
Please reach out to collaborate 😃
Featured Publications
Rigorous Numerical Hausdorff Dimension Estimates for Conformal Fractals
This paper develops both theory and algorithms for Hausdorff dimension estimation on conformal fractals.
A state-dependent delay equation with chaotic solutions
In this paper, we discovered the first example of chaotic solutions to differential delay equations.
Recent Publications
(2018).
A state-dependent delay equation with chaotic solutions.
Electronic Journal of the Qualitative Theory of Differential Equations, 22(1-20).
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