Results 61 to 70 of about 30,795 (238)
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Canonical symplectic representations for prime order conjugacy classes of the mapping-class group
24 pages; change in title; typos corrected; some theorems revised; computational complexity added; final version of paper to appear in Journal of ...
openaire +2 more sources
Testing Hypotheses of Covariate Effects on Topics of Discourse
ABSTRACT We introduce an approach to topic modeling with document‐level covariates that remains tractable in the face of large text corpora. This is achieved by de‐emphasizing the role of parameter estimation in an underlying probabilistic model, assuming instead that the data come from a fixed but unknown distribution whose statistical functionals are
Gabriel Phelan, David A. Campbell
wiley +1 more source
Hecke Groups, Dessins d'Enfants and the Archimedean Solids
Grothendieck's dessins d'enfants arise with ever-increasing frequency in many areas of 21st century mathematical physics. In this paper, we review the connections between dessins and the theory of Hecke groups. Focussing on the restricted class of highly
Yang-Hui eHe, Yang-Hui eHe, James eRead
doaj +1 more source
On virtual chirality of 3‐manifolds
Abstract We prove that if a prime 3‐manifold M$M$ is not finitely covered by the 3‐sphere or a product manifold, then M$M$ is virtually chiral, that is, it has a finite cover that does not admit an orientation‐reversing self‐homeomorphism. In general, if a 3‐manifold contains a virtually chiral prime summand, then it is virtually chiral.
Hongbin Sun, Zhongzi Wang
wiley +1 more source
Limit formulas for groups with one conjugacy class of Cartan subgroups [PDF]
Limit formulas for the computation of the canonical measure on a nilpotent coadjoint orbit in terms of the canonical measures on regular semisimple coadjoint orbits arise naturally in the study of invariant eigendistributions on a reductive Lie algebra. In the present paper we consider a particular type of the limit formula for canonical measures which
openaire +3 more sources
Applications for the groups S.U.T.(2,p) where p prime upper than 9
The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing
Lemya abd alameer +3 more
doaj +1 more source
Uniform growth in small cancellation groups
Abstract An open question asks whether every group acting acylindrically on a hyperbolic space has uniform exponential growth. We prove that the class of groups of uniform uniform exponential growth acting acylindrically on a hyperbolic space is closed under taking certain geometric small cancellation quotients.
Xabier Legaspi, Markus Steenbock
wiley +1 more source
$N$-recognizability of Groups $ Alt_p\times Alt_5$,\\ Where $p>1361$ Is a Prime Number
$N$-recognizability of Groups $ Alt_p\times Alt_5$, Where $p>1361$ Is a Prime Number} Given a finite group $L$, let $N(L)$ denote the set of its conjugacy class sizes.
I. B. Gorshkov, V. D. Shepelev
doaj +1 more source
$nX$-Complementary Generations of the Chevalley Group $G_{2}(3)$ [PDF]
A finite non-abelian group $G$ is said to be $(l,m,n)$-generated if it can be generated by two elements $x$ and $y$ such that $o(x)=l$, $o(y)=m$ and $o(xy)=n$. Also, $G$ is said to be $nX$-complementary generated if given an arbitrary non-identity
Ayoub Basheer +3 more
doaj +1 more source

