본문 바로가기
KERD
논문KCI 등재

Size of the clusters under low density zero-range invariant measures

전인태
대한수학회 (The Korean Mathematical Society)|2005.10|대한수학회논문집 (Communications of the KMS)|제20권 제4호|pp. 813-826

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

Regarding all particles at a .xed site as a cluster, the size of the largest cluster under the zero range invariant measures is well studied by Jeon et al.[5] for the case of density one. Here, the density of the .nite zero-range process is given by the ratio between the number m of particles and the number n of sites. In this paper, we study the lower density case, i.e., the case m = o(n). Especially, when m ∼ nβ , 0 <β < 1, we show that there is an interesting cutoff point around β =1=2.

참고문헌 (6)

  1. "Deterministic and stochastic models for coalescence A review of the mean-.eld theory for probabilists", 5, pp.3~48 (1999)
  2. "Independent process approximations for random com binatorial structures", 104, pp.90~154 (1994)
  3. "Existence of gelling solutions for coagulation fragmentation equations", 194, pp.541~567 (1998)
  4. "Condensation transition for zero range invariant measures In Stochastic models. Proceedings of the International Conference on Stochastic Models in Honor of Professor Donald A. Dawson", pp.233~244 (2000)
  5. "Size of the largest cluster under Zero-range invariant measures", 28, pp.1162~1194 (2000)
  6. "Interaction of Markov processes", 5, pp.246~290 (1970)

관련 논문AI추천

Central limit type theorem for weighted particle systemsNhansook Cho, Youngmee Kwon대한수학회 · 대한수학회지2004 · 제41권 제5호On the large deviation property of random measures on the $d$-dimensional Euclidean spaceDae Sik Hwang대한수학회 · 대한수학회논문집2002 · 제17권 제1호On the Hausdorff measure for a trajectory of a Brownian motion in l_2Nhansook Cho대한수학회 · 대한수학회논문집2002 · 제17권 제1호Stochastic fragmentation and some sufficient conditions for shattering transition전인태대한수학회 · 대한수학회지2002 · 제39권 제4호SOME LIMIT THEOREMS RELATED TO MULTI-DIMENSIONAL DIFFUSIONS IN A RANDOM ENVIRONMENT김대홍대한수학회 · 대한수학회지2011 · 제48권 제1호Power tail asymptotic results of a discrete time queue with long range dependent input황강욱, Khosrow Sohraby대한수학회 · 대한수학회지2003 · 제40권 제1호

이 간행물의 다른 논문 (22건)

특수함수의 q-유사에 관한 소고손진우pp. 623-640A Galois extension with Galois group dihedral group or generalized quaternion group황윤성pp. 641-644An action of a Galois group on a tensor product황윤성pp. 645-648Skew enveloping algebras and Poisson enveloping algebras오세권, 조은희pp. 649-655Green functions on the p-adic vector space임경수, 손진우pp. 657-669
원문 보기