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Schoof on the exponent of the group E ( F p) of F p-rational points, when a fixed elliptic curve E is defined over Q and the prime p tends to infinity..
Two proofs of the exponential ergodicity are given, one using the inverse Laplace transform and properties of analytic semigroups, and the other based on Doeblin’s condition...
This makes the Laplace inversion possible term by term and yields an explicit series representation for the density function of τ x.. 2 Result
A PROOF FROM ‘FIRST PRINCIPLES’ OF KESTEN’S RESULT FOR THE PROBABILITIES WITH WHICH A SUBORDINATOR HITS POINTS.. PETER
We prove that the Hausdorff dimension of the frontier equals 2(1 − α ) where α is an exponent for Brownian motion called the two-sided disconnection exponent.. In particular, using
In this paper we give another proof of the existence of cut points and compute the Hausdorff dimension of L in terms of a particular exponent, called the intersection exponent..
We denote by e λ 1 the hight of the Young diagram defined by partition λ (the number of boxes in the first row of the conjugate diagram), see for definitions Fulton[5]. The
This paper has four interrelated themes: (1) express Laplace and Mellin transforms of sums of pos- itive random variables in terms of the Mellin transform of the summands; (2) show
