Poisson cylinders in hyperbolic space

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a Poisson Hyperbolic Staircase

We consider a process that starts at height y, stays there for a time X0 ∼ exp(y) when it drops to a level Z1 ∼ U(0, y). Thereafter it stays at level Zn for time Xn ∼ exp(Zn), then drops to a level Zn+1 ∼ U(0, Zn). We investigate properties of this process, as well as the Poisson hyperbolic process which is obtained by randomizing the starting point y of the above process. This process is assoc...

متن کامل

Hyperbolic Space

Radial lines, suitably parameterized, are geodesics, but notice that the distance from the origin to the (Euclidean) unit sphere is infinite. This model makes it intuitively clear that the boundary at infinity of hyperbolic space is Sn−1. Hyperbolic space together with its boundary at infinity has the topology of a closed ball, and isometries of hyperbolic space extend uniquely to a homeomorphi...

متن کامل

Universal Approximator Property of the Space of Hyperbolic Tangent Functions

In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space of functions is utilized to design feedback control for a nonlinear dynamical system.

متن کامل

The Poisson Boundary of Hyperbolic Groups

| The Poisson boundary for a wide class of random walks on Gromov hyperbolic groups is shown to coincide with the hyperbolic boundary. muni de l'action de G tel que la formule de Poisson f(g) = h b f; gi est une isom etrie de l'espace L 1 (G;) et l'espace H 1 (G;) des fonctions-harmoniques born ees sur G. Trivialit e de la fronti ere de Poisson signiie que l'espace des fonctions-harmoniques bor...

متن کامل

Solving the Poisson-Boltzmann Equation for Two Parallel Cylinders

The electrostatic interaction between two parallel charged cylinders of arbitrary diameters a1 and a2 is studiedby solvingnumerically thenonlinearPoisson-Boltzmannequation. A limit of particular interest is that of a charged cylinder interacting with a charged plane (a1 f ∞). The interaction free energy is calculated, as a function of the separation distance between the cylinders, for either fi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Electronic Journal of Probability

سال: 2015

ISSN: 1083-6489

DOI: 10.1214/ejp.v20-3645