Article history: Received 19 December 2007 Available online 9 June 2008 Submitted by M. Ledoux

After the atomic coordinates themselves, the most important data in a homology model are the spatial reliability estimates associated with each of the atoms (atom annotation). Recent blind homology modeling predictions have demonstrated that principally correct sequence-structure alignments are achievable to sequence identities as low as 25% [Martin, A.C., MacArthur, M.W., Thornton, J.M., 1997....

Let (Xt, t ≥ 0) be a simple symmetric random walk on Z and for any x ∈ Z, let lt(x) be its local time at site x. For any p > 1, we denote by It = ∑ x∈Zd lt(x) p the p-fold self-intersection local times (SILT). Becker and König [6] recently proved a large deviations principle for It for all p > 1 such that p(d − 2/p) < 2. We extend these results to a broader scale of deviations and to the whole ...

Abstract. In this article we prove a local large deviation principle (LLDP) for the critical multitype Galton-Watson process from spectral potential point. We define the so-called a spectral potential UK( ·, π) for the Galton-Watson process, where π is the normalized eigen vector corresponding to the leading Perron-Frobenius eigen value 1l of the transition matrix A(·, ·) defined from K, the tr...

The continuous time Markov process considered in this paper belongs to a class of population models with linear growth and catastrophes. There, the catastrophes happen at arrival times Poisson process, each catastrophe time, randomly selected portion is eliminated. For we derive an asymptotic upper bound for maximum value prove local large deviation principle.

In this paper we prove exact forms of large deviations for local times and intersection local times of fractional Brownian motions and Riemann–Liouville processes. We also show that a fractional Brownian motion and the related Riemann–Liouville process behave like constant multiples of each other with regard to large deviations for their local and intersection local times. As a consequence of o...