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Hangan proved that the Heisenberg group endowed with a left-invariant Riemannian metric does not admit any codi- mension 1 completely integrable totally geodesic distribution (see [ 5
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
Keywords: Hydrodynamic scaling limit, Ulam’s problem, Hammersley’s process nonlinear conservation law, the Burgers equation, the Lax formula.. Address: Department of Mathematics,
We first give a strong limit law for the empirical degree distribution, and then have a closer look at the temporal evolution of the degrees of individual vertices, which we describe
Finally, we note that the proof of the convergence (3) of Theorem 2 (which is given in Section 4) works as it is, when we start the Markov chain with a translation invariant
The main purpose of this paper is to derive convergence rates in the central limit theorems (or Berry-Esseen bounds) for the number of maxima in samples chosen uniformly at random
We give explicit formulas for conformally invariant operators with leading term an m -th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product
The nine-dimensional bound is sharp: normal forms for the contact-equivalence classes of these maximally symmetric generic hyperbolic equations are derived and explicit
