Brownian charges around loops
| ISSN: |
1432-2064
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| Keywords: |
Mathematics Subject classification:(1991): 60J65 ; 60H05 ; 60F05
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
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| Notes: |
Summary. Let (X n t ) be a Poisson sequence of independent Brownian motions in ℝ d ,d≧ 3; Let ℒ be a compact oriented submanifold of ℝ d , of dimension d−2 and volume ?; let Φ t be the sum of the windings of (X n s , 0≦ s≦ t) around ℒ; then Φ t /t converges in law towards a Cauchy variable of parameter ?/2. A similar result is valid when the winding is replaced by the integral of a harmonic 1-form in ℝ d \ℒ.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798295927485628417 |
|---|---|
| autor | Franchi, J. Jan, Y. Le |
| autorsonst | Franchi, J. Jan, Y. Le |
| book_url | http://dx.doi.org/10.1007/BF01198164 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM205654681 |
| iqvoc_descriptor_keyword | iqvoc_00000107:Mathematics |
| issn | 1432-2064 |
| journal_name | Probability theory and related fields |
| materialart | 1 |
| notes | Summary. Let (X n t ) be a Poisson sequence of independent Brownian motions in ℝ d ,d≧ 3; Let ℒ be a compact oriented submanifold of ℝ d , of dimension d−2 and volume ?; let Φ t be the sum of the windings of (X n s , 0≦ s≦ t) around ℒ; then Φ t /t converges in law towards a Cauchy variable of parameter ?/2. A similar result is valid when the winding is replaced by the integral of a harmonic 1-form in ℝ d \ℒ. |
| package_name | Springer |
| publikationsjahr_anzeige | 1996 |
| publikationsjahr_facette | 1996 |
| publikationsjahr_intervall | 8004:1995-1999 |
| publikationsjahr_sort | 1996 |
| publisher | Springer |
| reference | 104 (1996), S. 501-514 |
| schlagwort | Mathematics Subject classification:(1991): 60J65 60H05 60F05 |
| search_space | articles |
| shingle_author_1 | Franchi, J. Jan, Y. Le |
| shingle_author_2 | Franchi, J. Jan, Y. Le |
| shingle_author_3 | Franchi, J. Jan, Y. Le |
| shingle_author_4 | Franchi, J. Jan, Y. Le |
| shingle_catch_all_1 | Franchi, J. Jan, Y. Le Brownian charges around loops Mathematics Subject classification:(1991): 60J65 60H05 60F05 Mathematics Subject classification:(1991): 60J65 60H05 60F05 Summary. Let (X n t ) be a Poisson sequence of independent Brownian motions in ℝ d ,d≧ 3; Let ℒ be a compact oriented submanifold of ℝ d , of dimension d−2 and volume ?; let Φ t be the sum of the windings of (X n s , 0≦ s≦ t) around ℒ; then Φ t /t converges in law towards a Cauchy variable of parameter ?/2. A similar result is valid when the winding is replaced by the integral of a harmonic 1-form in ℝ d \ℒ. 1432-2064 14322064 Springer |
| shingle_catch_all_2 | Franchi, J. Jan, Y. Le Brownian charges around loops Mathematics Subject classification:(1991): 60J65 60H05 60F05 Mathematics Subject classification:(1991): 60J65 60H05 60F05 Summary. Let (X n t ) be a Poisson sequence of independent Brownian motions in ℝ d ,d≧ 3; Let ℒ be a compact oriented submanifold of ℝ d , of dimension d−2 and volume ?; let Φ t be the sum of the windings of (X n s , 0≦ s≦ t) around ℒ; then Φ t /t converges in law towards a Cauchy variable of parameter ?/2. A similar result is valid when the winding is replaced by the integral of a harmonic 1-form in ℝ d \ℒ. 1432-2064 14322064 Springer |
| shingle_catch_all_3 | Franchi, J. Jan, Y. Le Brownian charges around loops Mathematics Subject classification:(1991): 60J65 60H05 60F05 Mathematics Subject classification:(1991): 60J65 60H05 60F05 Summary. Let (X n t ) be a Poisson sequence of independent Brownian motions in ℝ d ,d≧ 3; Let ℒ be a compact oriented submanifold of ℝ d , of dimension d−2 and volume ?; let Φ t be the sum of the windings of (X n s , 0≦ s≦ t) around ℒ; then Φ t /t converges in law towards a Cauchy variable of parameter ?/2. A similar result is valid when the winding is replaced by the integral of a harmonic 1-form in ℝ d \ℒ. 1432-2064 14322064 Springer |
| shingle_catch_all_4 | Franchi, J. Jan, Y. Le Brownian charges around loops Mathematics Subject classification:(1991): 60J65 60H05 60F05 Mathematics Subject classification:(1991): 60J65 60H05 60F05 Summary. Let (X n t ) be a Poisson sequence of independent Brownian motions in ℝ d ,d≧ 3; Let ℒ be a compact oriented submanifold of ℝ d , of dimension d−2 and volume ?; let Φ t be the sum of the windings of (X n s , 0≦ s≦ t) around ℒ; then Φ t /t converges in law towards a Cauchy variable of parameter ?/2. A similar result is valid when the winding is replaced by the integral of a harmonic 1-form in ℝ d \ℒ. 1432-2064 14322064 Springer |
| shingle_title_1 | Brownian charges around loops |
| shingle_title_2 | Brownian charges around loops |
| shingle_title_3 | Brownian charges around loops |
| shingle_title_4 | Brownian charges around loops |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:43:57.963Z |
| titel | Brownian charges around loops |
| titel_suche | Brownian charges around loops |
| topic | SA-SP |
| uid | nat_lic_papers_NLM205654681 |