Results 21 to 30 of about 90,057 (293)

On the Frobenius functor for symmetric tensor categories in positive characteristic [PDF]

, 2019
We develop a theory of Frobenius functors for symmetric tensor categories (STC) 𝒞 {\mathcal{C}} over a field 𝒌 {\boldsymbol{k}} of characteristic p, and give its applications to classification of such categories.
P. Etingof, V. Ostrik
semanticscholar   +1 more source

Pointed Drinfeld Center Functor [PDF]

Communications in Mathematical Physics, 2019
In this work, using the functoriality of the Drinfeld center of fusion categories, we generalize the functoriality of the full center of simple separable algebras in a fixed fusion category to all fusion categories.
Liang Kong, Wei Yuan, Hao Zheng
semanticscholar   +1 more source

Adjoint functor theorems for ∞ ‐categories [PDF]

Journal of the London Mathematical Society, 2018
Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an adjoint. In this paper, we prove general adjoint functor theorems for functors between ∞ ‐categories.
Hoang Kim Nguyen, G. Raptis, Christoph Schrade   +2 more
semanticscholar   +1 more source

New directions in general fuzzy automata: a dynamic-logical view [PDF]

AUT Journal of Mathematics and Computing, 2020
In the current study, by a general fuzzy automaton we aim at showing a set of propositions related to a given automaton showing that the truth-values are depended on thestates, inputs and membership values of active states at time t.
Khadijeh Abolpour, Mohammad mehdi Zahedi, Marzieh Shamsizadeh   +2 more
doaj   +1 more source

The center of a Green biset functor [PDF]

Pacific Journal of Mathematics, 2019
For a Green biset functor $A$, we define the commutant and the center of $A$ and we study some of their properties and their relationship. This leads in particular to the main application of these constructions: the possibility of splitting the category ...
S. Bouc, Nadia Romero
semanticscholar   +1 more source

On paracompact spaces and projectively inductively closed functors

Applied General Topology, 2002
In this paper we introduce a notion of projectively inductively closed functor (p.i.c.-functor). We give sufficient conditions for a functor to be a p.i.c.-functor. In particular, any finitary normal functor is a p.i.c.-functor.
T.F. Zhuraev
doaj   +1 more source

On a 2-Relative Entropy

Entropy, 2021
We construct a 2-categorical extension of the relative entropy functor of Baez and Fritz, and show that our construction is functorial with respect to vertical morphisms.
James Fullwood
doaj   +1 more source

AI for identifying social norm violation

Scientific Reports, 2023
Identifying social norms and their violation is a challenge facing several projects in computational science. This paper presents a novel approach to identifying social norm violations.
Yair Neuman, Yochai Cohen
doaj   +1 more source

The Information Loss of a Stochastic Map

Entropy, 2021
We provide a stochastic extension of the Baez–Fritz–Leinster characterization of the Shannon information loss associated with a measure-preserving function. This recovers the conditional entropy and a closely related information-theoretic measure that we
James Fullwood, Arthur J. Parzygnat
doaj   +1 more source

The Bousfield-Kuhn functor and topological André-Quillen cohomology [PDF]

Inventiones Mathematicae, 2017
We construct a natural transformation from the Bousfield-Kuhn functor evaluated on a space to the Topological André-Quillen cohomology of the K ( n )-local Spanier–Whitehead dual of the space, and show that the map is an equivalence in the case where the
M. Behrens, Charles Rezk
semanticscholar   +1 more source