A Note on Planar Brownian Motion

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

A Note on Gravitational Brownian Motion

ABSTRACT Chandrasekhar’s theory of stellar encounters predicts a dependence of the Brownian motion of a massive particle on the velocity distribution of the perturbing stars. One consequence is that the expectation value of the massive object’s kinetic energy can be different from that of the perturbers. This effect is shown to be modest however, and substantially smaller than claimed in a rece...

متن کامل

A Note on Fuzzy Set–Valued Brownian Motion

In this paper, we prove that a fuzzy set–valued Brownian motion Bt, as defined in [2], can be handle by an R–valued Wiener process bt, in the sense that Bt = Ibt ; i.e. it is actually the indicator function of a Wiener process.

متن کامل

Logarithmic Potentials and Planar Brownian Motion

In Section 5, we saw that for a Brownian motion process in n _ 3 dimensions, P (limtxIX, = o0) = 1 for all x. In sharp contrast to this situation, a planar Brownian motion is certain to hit any nonpolar set. THEOREM 8.1. Let B be a Borel set. Then PX(VB < cX) is either identically 1 or identically 0. PROOF. A simple computation shows that for any x e R2, 1' p(s, x) ds T co as t T oc. Thus, for ...

متن کامل

Multiple intersection exponents for planar Brownian motion

Let p ≥ 2, n1 ≤ · · · ≤ np be positive integers and B 1 , . . . , B n1 ; . . . ;B p 1 , . . . , B np be independent planar Brownian motions started uniformly on the boundary of the unit circle. We define a p-fold intersection exponent ςp(n1, . . . , np), as the exponential rate of decay of the probability that the packets ⋃ni j=1 B i j [0, t ], i = 1, . . . , p, have no joint intersection. The ...

متن کامل

Intersection Exponents for Planar Brownian Motion

We derive properties concerning all intersection exponents for planar Brownian motion and we deene generalized exponents that loosely speaking correspond to non-integer numbers of Brownian paths. Some of these properties lead to general conjectures concerning the exact value of these exponents.

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: The Annals of Probability

سال: 1977

ISSN: 0091-1798

DOI: 10.1214/aop/1176995722