Abstract. Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on Rn. In particular, in the case when n = 2 they obtained Gaussian upper bound estimates for the heat kernel without imposing further assumption on the coefficients. We study the fundamental solutions of the systems of second o...

We investigate when an upper bound on expected lifetimes of conditioned diffusions associated with elliptic operators in divergence and non-divergence form can be found. The critical value of the parameter is found for each of the following classes of domains: Lpdomains (p = n− 1), uniformly regular twisted Lp-domains (p = n− 1), and twisted Hölder domains (α = 1/3). A related parabolic boundar...

background: wolf motor function test (wmft) is used in the assessment of upper extremity motor function in stroke patients. this scale contains 15 items and assesses joint-segment movements and functional tasks. objectives: translation and assessment of internal consistency and reliability of the persian version of wmft in iranian stroke patients. materials and methods: after translation (based...

In this paper we establish square-function estimates on the double and single layer potentials with rough inputs for divergence form elliptic operators, of arbitrary even order 2m, with variable t-independent coefficients in the upper half-space.

Studies of Neotropical birds, and their distributions and areas of endemism, in particular, have been central in the formulation of hypotheses proposed to explain the high species diversity in the Neotropics. We used mtDNA sequence data (ATPase 6 and 8, COI, and cyt b) to reconstruct the species-level phylogenies for two genera, Pionopsitta (Aves: Psittacidae) and Pteroglossus (Aves: Ramphastid...

Information-theoretic measures such as the entropy, cross-entropy and the KullbackLeibler divergence between two mixture models is a core primitive in many signal processing tasks. Since the Kullback-Leibler divergence of mixtures provably does not admit a closed-form formula, it is in practice either estimated using costly Monte-Carlo stochastic integration, approximated, or bounded using vari...

We provide optimal lower and upper bounds for the augmented Kullback-Leibler divergence in terms of total variation distance between two probability measures defined on Euclidean spaces having different dimensions. call them refined Pinsker’s reverse inequalities, respectively.