Displaying similar documents to “A necessary and sufficient condition for the Λ -coalescent to come down from the infinity.”

Some sums of Legendre and Jacobi polynomials

Jan Gustavsson (2001)

Mathematica Bohemica


We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.

Large deviations for independent random variables – Application to Erdös-Renyi’s functional law of large numbers

Jamal Najim (2005)

ESAIM: Probability and Statistics


A Large Deviation Principle (LDP) is proved for the family 1 n 1 n 𝐟 ( x i n ) · Z i n where the deterministic probability measure 1 n 1 n δ x i n converges weakly to a probability measure R and ( Z i n ) i are d -valued independent random variables whose distribution depends on x i n and satisfies the following exponential moments condition: sup i , n 𝔼 e α * | Z i n | < + forsome 0 < α * < + . In this context, the identification of the rate function is non-trivial due to the absence of equidistribution. We rely on fine convex analysis to address this issue. Among...