Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Barrett, Jordan P."'
Autor:
Schrecengost, Zachariah S., Hejazine, Seif, Barrett, Jordan V., Démery, Vincent, Paulsen, Joseph D.
We study the deformation of a liquid interface with arbitrary principal curvatures by a flat circular sheet. We use the membrane limit, where the sheet is inextensible yet free to bend and compress, and restrict ourselves to small slopes. We find tha
Externí odkaz:
http://arxiv.org/abs/2409.13042
We present two ways to measure the simplicial nature of a hypergraph: the simplicial ratio and the simplicial matrix. We show that the simplicial ratio captures the frequency, as well as the rarity, of simplicial interactions in a hypergraph while th
Externí odkaz:
http://arxiv.org/abs/2408.11806
The Artificial Benchmark for Community Detection (ABCD) graph is a random graph model with community structure and power-law distribution for both degrees and community sizes. The model generates graphs similar to the well-known LFR model but it is f
Externí odkaz:
http://arxiv.org/abs/2312.00238
Autor:
Addario-Berry, Louigi, Barrett, Jordan
We consider invasion percolation on the randomly-weighted complete graph $K_n$, started from some number $k(n)$ of distinct source vertices. The outcome of the process is a forest consisting of $k(n)$ trees, each containing exactly one source. Let $M
Externí odkaz:
http://arxiv.org/abs/2208.06509
We consider a family of local search algorithms for the minimum-weight spanning tree, indexed by a parameter $\rho$. One step of the local search corresponds to replacing a connected induced subgraph of the current candidate graph whose total weight
Externí odkaz:
http://arxiv.org/abs/2205.05075
Autor:
Barrett, Jordan Mitchell
Using the tools of reverse mathematics in second-order arithmetic, as developed by Friedman, Simpson, and others, we determine the axioms necessary to develop various topics in commutative ring theory. Our main contributions to the field are as follo
Externí odkaz:
http://arxiv.org/abs/2109.02037
Cousin's lemma is a compactness principle that naturally arises when studying the gauge integral, a generalisation of the Lebesgue integral. We study the axiomatic strength of Cousin's lemma for various classes of functions, using Friedman and Simpso
Externí odkaz:
http://arxiv.org/abs/2105.02975
Publikováno v:
The Electronic Journal of Combinatorics 28(1) (2021), #P1.46
For fixed finite graphs $G$, $H$, a common problem in Ramsey theory is to study graphs $F$ such that $F \to (G,H)$, i.e. every red-blue coloring of the edges of $F$ produces either a red $G$ or a blue $H$. We generalize this study to infinite graphs
Externí odkaz:
http://arxiv.org/abs/2011.14074
Autor:
Barrett, Jordan Mitchell
As the prototypical category, $\mathbf{Set}$ has many properties which make it special amongst categories. From the point of view of mathematical logic, one such property is that $\mathbf{Set}$ has enough structure to "properly" formalise logic. Howe
Externí odkaz:
http://arxiv.org/abs/2011.13070
Autor:
Barrett, Jordan Mitchell
Cousin's lemma is a compactness principle that naturally arises when studying the gauge integral, a generalisation of the Lebesgue integral. We study the axiomatic strength of Cousin's lemma for various classes of functions, using Friedman and Simpso
Externí odkaz:
http://arxiv.org/abs/2011.13060