Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Pasini, Federico"'
Autor:
Chebolu, Sunil K., Merzel, Jonathan, Mináč, Ján, Nguyen, Tung T., Pasini, Federico, Tân, Nguyên Duy
Given a collection $\{ G_i\}_{i=1}^d$ of finite groups and a ring $R$, we have previously introduced and studied certain foundational properties of the join ring $\mathcal{J}_{G_1, G_2, \ldots, G_d}(R)$. This ring bridges two extreme worlds: matrix r
Externí odkaz:
http://arxiv.org/abs/2308.13428
Let $A$ and $B$ designate $n\times n$ matrices with coefficients in a field $F$. In this paper, we completely answer the following question: For $A$ fixed, what are the possible characteristic polynomials of $A+B$, where $B$ ranges over matrices of r
Externí odkaz:
http://arxiv.org/abs/2306.10253
Although temporal coding through spike-time patterns has long been of interest in neuroscience, the specific structures that could be useful for spike-time codes remain highly unclear. Here, we introduce a new analytical approach, using techniques fr
Externí odkaz:
http://arxiv.org/abs/2211.06692
Autor:
Nguyen, Tung T., Budzinski, Roberto C., Pasini, Federico W., Delabays, Robin, Mináč, Ján, Muller, Lyle E.
Networked systems have been used to model and investigate the dynamical behavior of a variety of systems. For these systems, different levels of complexity can be considered in the modeling procedure. On one hand, this can offer a more realistic and
Externí odkaz:
http://arxiv.org/abs/2209.05970
Autor:
Chebolu, Sunil K., Merzel, Jonathan L., Mináč, Ján, Muller, Lyle, Nguyen, Tung T., Pasini, Federico W., Tân, Nguyen Duy
Given a collection $\{ G_i\}_{i=1}^d$ of finite groups and a ring $R$, we define a subring of the ring $M_n(R)$ ($n = \sum_{i=1}^d|G_i|)$ that encompasses all the individual group rings $R[G_i]$ along the diagonal blocks as $G_i$-circulant matrices.
Externí odkaz:
http://arxiv.org/abs/2208.07413
We study the spectrum of the join of several normal matrices with constant row sums. We apply our results to compute the characteristic polynomial of the join of several regular graphs. We then use this calculation to study several problems in spectr
Externí odkaz:
http://arxiv.org/abs/2207.04181
Let $A$ be a matrix of size $n \times n$ over an algebraically closed field $F$ and $q(t)$ a monic polynomial of degree $n$. In this article, we describe the necessary and sufficient conditions of $q(t)$ so that there exists a rank one matrix $B$ suc
Externí odkaz:
http://arxiv.org/abs/2111.10624