Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Zabka, Matthew"'
Autor:
Bergjord, Rachel, Zabka, Matthew
The most general definition of a continuous function requires that the preimage of any open set be open. Thus, to discuss continuity in the abstract, it is necessary to first define a topology, which tells us which sets in a space are open. Such a to
Externí odkaz:
http://arxiv.org/abs/2201.10977
Vector field design on surfaces was originally motivated by applications in graphics such as texture synthesis and rendering. In this paper, we consider the idea of vector field design with a new motivation from computational topology. We are interes
Externí odkaz:
http://arxiv.org/abs/1912.09580
Autor:
Catanzaro, Michael J., Curry, Justin, Fasy, Brittany Terese, Lazovskis, Jānis, Malen, Greg, Riess, Hans, Wang, Bei, Zabka, Matthew
We consider different notions of equivalence for Morse functions on the sphere in the context of persistent homology, and introduce new invariants to study these equivalence classes. These new invariants are as simple, but more discerning than existi
Externí odkaz:
http://arxiv.org/abs/1909.10623
We introduce a model for random chain complexes over a finite field. The randomness in our complex comes from choosing the entries in the matrices that represent the boundary maps uniformly over $\mathbb{F}_q$, conditioned on ensuring that the compos
Externí odkaz:
http://arxiv.org/abs/1901.00964
Autor:
Zabka, Matthew
Publikováno v:
Algebra and Discrete Mathematics, 25(2): 311-321, 2018
As more of topology's tools become popular in analyzing high dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has been given to understanding the
Externí odkaz:
http://arxiv.org/abs/1605.08131
Akademický článek
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Autor:
Catanzaro, Michael J., Curry, Justin M., Fasy, Brittany Terese, Lazovskis, Jānis, Malen, Greg, Riess, Hans, Wang, Bei, Zabka, Matthew
Publikováno v:
Journal of Applied & Computational Topology; Sep2020, Vol. 4 Issue 3, p353-385, 33p
