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In the present paper, we investigate the dynamical critical exponent for the totally asymmetric diffusion process with equal rates which is a related but dynamically different
Recall that a homogeneous Lévy basis is an example of an independently scattered random measure as defined in [ 9 ]; see the next section for further details.. Moreover, necessary
We also discuss applications of these bounds to the central limit theorem, simple random sampling, Poisson- Charlier approximation and geometric approximation using
Indeed, Theorem 2.2 in [FH2] shows, in the general framework of a Lévy process with bounded variation, that if the Lévy measure is bounded outside a neighbourhood of 0, then an
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
Applying our proofs to the renewal equation representation (see the proof of their Lemma 2.6), one obtains the same results for local times of Lévy processes as we obtained in
Lawler (1990): Non-intersection exponents for random walk and Brownian motion. Part II: Estimates and applications to a random
Thus, we still need to broaden our scope by another method, which is specialized on (and applicable only for) the real forms. We call this method ‘fundamental’, because it
