Self-avoiding Fractional Brownian Motion-The Edwards Model

被引:15
作者
Grothaus, Martin [2 ]
Oliveira, Maria Joao [1 ,3 ]
da Silva, Jose Luis [4 ,5 ]
Streit, Ludwig [5 ,6 ]
机构
[1] Univ Alberta, P-1269001 Lisbon, Portugal
[2] Univ Kaiserslautern, Dept Math, D-67653 Kaiserslautern, Germany
[3] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal
[4] Univ Madeira, CCEE, P-9000390 Funchal, Portugal
[5] Univ Madeira, CCM, P-9000390 Funchal, Portugal
[6] Univ Bielefeld, Forschungszentrum BiBoS, D-33501 Bielefeld, Germany
关键词
Fractional Brownian motion; Local time; Edwards' model; Polymers; INTERSECTION LOCAL TIME; RENORMALIZATION;
D O I
10.1007/s10955-011-0344-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work we extend Varadhan's construction of the Edwards polymer model to the case of fractional Brownian motions in a"e (d) , for any dimension da parts per thousand yen2, with arbitrary Hurst parameters Ha parts per thousand currency sign1/d.
引用
收藏
页码:1513 / 1523
页数:11
相关论文
共 19 条
[1]  
[Anonymous], LOCAL QUANTUM THEORY
[2]   DYNAMICS OF FRACTIONAL BROWNIAN WALKS [J].
BISWAS, P ;
CHERAYIL, BJ .
JOURNAL OF PHYSICAL CHEMISTRY, 1995, 99 (02) :816-821
[3]   ON THE CONSTRUCTION OF THE 3-DIMENSIONAL POLYMER MEASURE [J].
BOLTHAUSEN, E .
PROBABILITY THEORY AND RELATED FIELDS, 1993, 97 (1-2) :81-101
[4]  
BORNALES J, 2011, ARXIV11063776
[5]  
CALAIS JY, 1987, LECT NOTES MATH, V1247, P375
[6]   STATISTICAL MECHANICS OF POLYMERS WITH EXCLUDED VOLUME [J].
EDWARDS, SF .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1965, 85 (546P) :613-&
[7]  
Gradinaru M, 2003, ANN PROBAB, V31, P1772
[8]   Integral representation of renormalized self-intersection local times [J].
Hu, Yaozhong ;
Nualart, David ;
Song, Han .
JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (09) :2507-2532
[9]   Renormalized self-intersection local time for fractional Brownian motion [J].
Hu, YZ ;
Nualart, D .
ANNALS OF PROBABILITY, 2005, 33 (03) :948-983
[10]   Self-intersection local time of fractional Brownian motions - via chaos expansion [J].
Hu, YZ .
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2001, 41 (02) :233-250