Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph

We proposed a novel metric, based on a simple structure from factor analysis, for the measurement of the interpretability of factors delivered by matrix de- composition

Therefore, the uniqueness property for probability measure solutions of Liouville’s equation is a crucial step towards a rigourous justification of the classical limit or the

• White calibration with a high reflectance standard (>98% at all wavelengths) and the leds illumination as light source. Figure 6.2: White calibration with the

In this paper we consider a two-phase flow problem in porous media and study its singular limit as the viscosity of the air tends to zero; more precisely, we prove the convergence

Keywords: random matrices, norm of random matrices, approximation of co- variance matrices, compressed sensing, restricted isometry property, log-concave random vectors,

Spectral theory; Objective method; Operator convergence; Stochastic matrices; Random matrices; Reversible Markov chains; Random walks; Random Graphs; Probability on trees; Random

Definition 2.1 ([Gro93, 0.5.E]) Two countable groups Γ1 and Γ2 are Measure Equivalent (ME) if there exist commuting, measure preserving, free actions of Γ1 and Γ2 on some

In trials of CHM, study quality and results depended on language of publication: CHM trials published in English were of higher methodological quality and showed smaller effects