Spectral properties of the hierarchical product of graphs
... eigenvectors of the two underlying networks and a coupling parameter that tunes their interactions. Due to the central role of the Perron-Frobenius (PF) eigenvalue [20], i.e., the largest eigenvalue, of the adjacency matrix in several applications [21,22], we study in detail the behavior of the PF e ...
... eigenvectors of the two underlying networks and a coupling parameter that tunes their interactions. Due to the central role of the Perron-Frobenius (PF) eigenvalue [20], i.e., the largest eigenvalue, of the adjacency matrix in several applications [21,22], we study in detail the behavior of the PF e ...
(somewhat) expanded version of the note in C. R. Acad. Sci. Paris
... as established in [Bi], where I (ν | νQ ) is known as the free Fisher information of ν with respect to νQ [Vo3], [B-S]. Careful approximation arguments to reach arbitrary probability measures ν (with density in L3 (R)) are described in [H-P-U1]. As in the classical case, the Hamilton-Jacobi approach ...
... as established in [Bi], where I (ν | νQ ) is known as the free Fisher information of ν with respect to νQ [Vo3], [B-S]. Careful approximation arguments to reach arbitrary probability measures ν (with density in L3 (R)) are described in [H-P-U1]. As in the classical case, the Hamilton-Jacobi approach ...
Boolean Functions Satisfying Higher Order Propagation Criteria
... every function f ∗ obtained from f by fixing one input bit should satisfy P C(n − 1). This can be restated with the symplectic matrices B and B ∗ that correspond to f and f ∗ respectively: every matrix B ∗ obtained from B by deleting one column and the corresponding row should have full rank n − 1. ...
... every function f ∗ obtained from f by fixing one input bit should satisfy P C(n − 1). This can be restated with the symplectic matrices B and B ∗ that correspond to f and f ∗ respectively: every matrix B ∗ obtained from B by deleting one column and the corresponding row should have full rank n − 1. ...
SU3 RECOUPLING AND FRACTIONAL PARENTAGE
... convenient set of operators which commute with the Casimir operators and the additive infinitesimal operators of the subgroups SU3 and SU2 has as yet been constructed to give a full specification of the states. However, a complete table of c.f.p, is not needed since the states of greatest interest i ...
... convenient set of operators which commute with the Casimir operators and the additive infinitesimal operators of the subgroups SU3 and SU2 has as yet been constructed to give a full specification of the states. However, a complete table of c.f.p, is not needed since the states of greatest interest i ...
