SUBSTITUTION MARKOV CHAINS AND MARTIN BOUNDARIES

被引：1

作者：

Koslicki, David ^{[1
]}

Denker, Manfred ^{[2
]}

机构：

[1] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2016年 / 46卷 / 06期

基金：

美国国家科学基金会;

关键词：

Substitution Markov chain; Martin boundary; random substitution;

D O I：

10.1216/RMJ-2016-46-6-1963

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Substitution Markov chains have been introduced [7] as a new model to describe molecular evolution. In this note, we study the associated Martin boundaries from a probabilistic and topological viewpoint. An example is given that, although having a boundary homeomorphic to the well-known coin tossing process, has a metric description that differs significantly.

引用

页码：1963 / 1985

页数：23

共 16 条

[1] The Martin entrance boundary of the Galton-Watson process [J].

Alsmeyer, Gerold ;

Roesler, Uwe .

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2006, 42 (05) :591-606

[2]

Athreya KB, 1972, BRANCHING PROCESSES

[3]

Dynkin E. B., 1969, USPEK MAT NAUK, V24, P1

[4]

Evans S., 2012, ELECT J PROB, V17

[5]

Hunt G.A., 1960, Illinois J. Math., V4, P313, DOI DOI 10.1215/IJM/1255456049

[6]

Kemeny J., 1965, Denumerable Markov Chains, V2nd

[7]

Koslicki D., 2012, THESIS PENNSYLVANIA

[8] BIRTH PROCESSES WITH THE INTERACTION OF NEIGHBORING ELEMENTS, EVOLUTION OF GRAPHS [J].

PEYRIERE, J .

ANNALES DE L INSTITUT FOURIER, 1981, 31 (04) :187-218

[9]

Peyriere J., 1978, RC7417 IBM, P1

[10]

Peyriere J., 1987, Ann. sc. math. Quebec, V11, P133

← 1 2 →