Results 11 to 20 of about 1,493,991 (168)
Further results on the permanental sums of bicyclic graphs
, 2023 Let $G$ be a graph, and let $A(G)$ be the adjacency matrix of $G$. The permanental polynomial of $G$ is defined as $π(G,x)=\mathrm{per}(xI-A(G))$. The permanental sum of $G$ can be defined as the sum of absolute value of coefficients of $π(G,x)$. Computing the permanental sum is $\#$P-complete.
Wu, Tingzeng, Bai, Yinggang
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Permanental processes from products of complex and quaternionic induced Ginibre ensembles [PDF]
, 2014 We consider products of independent random matrices taken from the induced Ginibre ensemble with complex or quaternion elements. The joint densities for the complex eigenvalues of the product matrix can be written down exactly for a product of any fixed ...
Akemann, G., Ipsen, J. R., Strahov, E.
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Fano schemes of determinants and permanents [PDF]
, 2015 Let $D_{m,n}^r$ and $P_{m,n}^r$ denote the subschemes of $\mathbb{P}^{mn-1}$ given by the $r\times r$ determinants (respectively the $r\times r$ permanents) of an $m\times n$ matrix of indeterminates.
Chan, Melody, Ilten, Nathan
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New inequalities for permanents and hafnians and some generalizations [PDF]
Linear and multilinear algebra, 2019 We show new upper bounds for permanents and hafnians, which are particularly useful for complex matrices. Multidimensional permanents and hyperhafnians are considered as well. The permanental bounds improve on a Hadamard type inequality of Carlen et al. [
B. Roos
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Permanental mates and Hwang's conjecture [PDF]
, 1995 Let Ωn denote the set of all n × n doubly stochastic matrices. Two unequal matrices A,B ∈ Ωn are said to form a permanental pair if per[tA + (1 − t)B] is constant for all t ∈ [0,1], in which case A and B are called permanental mates of each other.
Karuppanchetty, C.S., Arulraj, S.Maria
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Shearer's point process, the hard-sphere model and a continuum Lov\'asz Local Lemma [PDF]
, 2017 A point process is R-dependent, if it behaves independently beyond the minimum distance R. This work investigates uniform positive lower bounds on the avoidance functions of R-dependent simple point processes with a common intensity.
Hofer-Temmel, Christoph
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A note on the tensor product of two random unitary matrices [PDF]
, 2012 In this note we consider the point process of eigenvalues of the tensor product of two independent random unitary matrices of size m x m and n x n. When n becomes large, the process behaves like the superposition of m independent sine processes.
Tkocz, Tomasz
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Intracell interference characterization and cluster interference for D2D communication [PDF]
, 2018 The homogeneous spatial Poisson point process (SPPP) is widely used for spatial modeling of mobile terminals (MTs). This process is characterized by a homogeneous distribution, complete spatial independence, and constant intensity measure. However, it is
Ekti, Ali Riza +4 more
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Limit theory for geometric statistics of point processes having fast decay of correlations
, 2018 Let $P$ be a simple,stationary point process having fast decay of correlations, i.e., its correlation functions factorize up to an additive error decaying faster than any power of the separation distance.
Blaszczyszyn, B. +2 more
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Sums of permanental minors using Grassmann algebra
, 2014 16 pages, 1 ...
Butera, P., Pernici, M.
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