Arithmetic unit based on impulse counting
Association schemes and MacWilliams dualities for generalized Niederreiter-Rosenbloom-Tsfasman posets [Book]
Asymptotic behaviour of empirical multiinformation
Asymptotic distribution of the useful informational energy
Asymptotic equipartition properties for simple hierarchical and networked structures
We prove asymptotic equipartition properties for simple hierarchical structures (modelled as multitype Galton-Watson trees) and networked structures (modelled as randomly coloured random graphs). For example, for large n, a networked data structure consisting of n units connected by an average number of links of order n / log n can be coded by about H × n bits, where H is an explicitly defined entropy. The main technique in our proofs are large deviation principles for suitably defined empirical...
Asymptotic equipartition properties for simple hierarchical and networked structures
We prove asymptotic equipartition properties for simple hierarchical structures (modelled as multitype Galton-Watson trees) and networked structures (modelled as randomly coloured random graphs). For example, for large n, a networked data structure consisting of n units connected by an average number of links of order n / log n can be coded by about H × n bits, where H is an explicitly defined entropy. The main technique in our proofs are large deviation principles for suitably defined empirical...
Asymptotic spectral analysis of generalized Erdős-Rényi random graphs
Motivated by the Watts-Strogatz model for a complex network, we introduce a generalization of the Erdős-Rényi random graph. We derive a combinatorial formula for the moment sequence of its spectral distribution in the sparse limit.
Asymptotic stability, ergodicity and other asymptotic properties of the nonlinear filter
Asymptotical behaviour of some non-uniform measures
Asymptotics for the number of -quasigroups of order 4.
Automatic speech signal segmentation based on the innovation adaptive filter
Automorphism groups of Ree type Deligne-Lusztig curves and function fields.
Average convergence rate of the first return time
The convergence rate of the expectation of the logarithm of the first return time , after being properly normalized, is investigated for ergodic Markov chains. I. Kontoyiannis showed that for any β > 0 we have a.s. for aperiodic cases and A. J. Wyner proved that for any ε >0 we have eventually, a.s., where is the probability of the initial n-block in x. In this paper we prove that converges to a constant depending only on the process where is the modified first return time with...
Axiomatic characterizations of the measures of inaccuracy and information.
-valuations of graphs
Baire classification and infinite perceptrons
Balanced Gray codes.
Balancing cyclic -ary Gray codes.
Balancing cyclic -ary Gray codes. II.
Basic equations for source coding with side information at the decoder and encoder