Wiki source code of Brownian motion, fall 2013
Last modified by hhonkasa@helsinki_fi on 2024/03/27 10:40
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1 | = Brownian motion, fall 2013 = | ||
2 | |||
3 | === Lecturer === | ||
4 | |||
5 | Juha Vuolle-Apiala | ||
6 | |||
7 | === Scope === | ||
8 | |||
9 | 5 sp. | ||
10 | |||
11 | === Type === | ||
12 | |||
13 | Advanced studies | ||
14 | |||
15 | === Prerequisites === | ||
16 | |||
17 | Knowledge of probability theory, f.ex. the courses "Todennäköisyysteoria I" and "Todennäköisyysteoria II". The courses "Levy processes" and "Stokastiset prosessit" are useful. | ||
18 | |||
19 | === Contents === | ||
20 | |||
21 | The plan is to go through the central properties of d-dimensional Brownian motion. We will also consider the connection between Brownian motion and the classical potential theory, including the Laplace operator and harmonic functions. | ||
22 | |||
23 | === Lectures === | ||
24 | |||
25 | Weeks 36-42 and 44-50, Friday 12-14 in room B322. A two-hour exercise class every second week. | ||
26 | |||
27 | === Exams === | ||
28 | |||
29 | |||
30 | |||
31 | === Bibliography === | ||
32 | |||
33 | |||
34 | |||
35 | === [[Registration>>url:https://oodi-www.it.helsinki.fi/hy/opintjakstied.jsp?html=1&Tunniste=57072||shape="rect"]] === | ||
36 | |||
37 | Did you forget to register? [[ What to do?>>doc:mathstatOpiskelu.Kysymys4]] | ||
38 | |||
39 | === Laskuharjoitukset === | ||
40 | |||
41 | |=((( | ||
42 | Ryhmä | ||
43 | )))|=((( | ||
44 | Päivä | ||
45 | )))|=((( | ||
46 | Aika | ||
47 | )))|=((( | ||
48 | Paikka | ||
49 | )))|=(% colspan="1" %)((( | ||
50 | Pitäjä | ||
51 | ))) | ||
52 | |((( | ||
53 | 1. | ||
54 | )))|((( | ||
55 | Friday | ||
56 | )))|((( | ||
57 | 14-16 | ||
58 | )))|((( | ||
59 | B322 | ||
60 | )))|(% colspan="1" %)((( | ||
61 | Juha Vuolle-Apiala | ||
62 | ))) |