Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Cicala, Daniel"'
Autor:
Jiang, Yi, Kurianski, Kristin M., Lee, Jane HyoJin, Ma, Yanping, Cicala, Daniel, Ledder, Glenn
We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (willing or unwilling), with the goal of discovering how disease spread is influenced by changing opinions about vaccina
Externí odkaz:
http://arxiv.org/abs/2405.03931
Autor:
Cicala, Daniel
To foster the study of networks on an abstract level, we further study the formalism of structured cospans. We define a topos of structured cospans and establish its theory of rewriting. For the rewrite relation, we propose a double categorical seman
Externí odkaz:
http://arxiv.org/abs/2001.09029
Autor:
Cicala, Daniel
The concept of a system has proliferated through natural and social sciences. While myriad theories of systems exist, there is no mathematical general theory of systems. In this thesis, we take a first step towards formulating such a theory. Our focu
Externí odkaz:
http://arxiv.org/abs/1906.05443
Autor:
Cicala, Daniel, Courser, Kenny
Publikováno v:
Theory and Applications of Categories, Vol. 33, 2018, No. 1, pp 1-22
For a topos $\mathbf{T}$, there is a bicategory $\mathbf{MonicSp(Csp(T))}$ whose objects are those of $\mathbf{T}$, morphisms are cospans in $\mathbf{T}$, and 2-morphisms are isomorphism classes of monic spans of cospans in $\mathbf{T}$. Using a resu
Externí odkaz:
http://arxiv.org/abs/1707.02098
Autor:
Cicala, Daniel
Publikováno v:
EPTCS 266, 2018, pp. 294-314
We build a symmetric monoidal and compact closed bicategory by combining spans and cospans inside a topos. This can be used as a framework in which to study open networks and diagrammatic languages. We illustrate this framework with Coecke and Duncan
Externí odkaz:
http://arxiv.org/abs/1704.07034
Autor:
Cicala, Daniel
Techniques from the theory of matrix problems have proven to be helpful for studying problems within representation theory. In particular, matrix problems are well suited to use in problems related to classifying indecomposable representations of qui
Externí odkaz:
http://hdl.handle.net/10393/31598
Autor:
Cicala, Daniel
Publikováno v:
Theory and Applications of Categories, Vol. 33, 2018, No. 6, pp 131-147
We discuss the notion of a span of cospans and define, for them, horizonal and vertical composition. These compositions satisfy the interchange law if working in a topos $\mathbf{C}$ and if the span legs are monic. A bicategory is then constructed fr
Externí odkaz:
http://arxiv.org/abs/1611.07886
Autor:
CICALA, DANIEL
Publikováno v:
Theory & Applications of Categories. 2018, Vol. 33 Issue 6-7, p131-147. 18p.
Autor:
CICALA, DANIEL1 cicala@math.ucr.edu, COURSER, KENNY1 courser@math.ucr.edu
Publikováno v:
Theory & Applications of Categories. 2018, Vol. 33 Issue 1-5, p1-22. 22p.
Publikováno v:
Notices of the American Mathematical Society; Feb2022, Vol. 69 Issue 2, p292-297, 6p