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world:mva
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world:mva [2026/03/28 12:58] alain [Table] |
world:mva [2026/10/28 18:02] (current) alain [Table] |
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| * **When?** /*Every course will hold on Thursday <color red>from 9H to 12H00</color> (exact dates are given below).*/ | * **When?** /*Every course will hold on Thursday <color red>from 9H to 12H00</color> (exact dates are given below).*/ | ||
| - | ^ ^ Topics ^ Material ^ | + | ^ ^ Topics ^ Material ^ |
| - | | 1 | Brownian motion and the Wiener space: defintions and first properties | {{:world:prob_0.pdf| TD 0}} and {{:world:BM0.pdf| TD 1}} and {{:world:chap_1-_brownian_motion_and_v1.pdf|notes}} | | + | | 1 | Brownian motion and the Wiener space: defintions and first properties | {{:world:prob_0.pdf| TD 0}} and {{:world:BM0.pdf| TD 1}} and {{:world:Chap 1- Brownian motion and_2026-2027.pdf| notes}} Password: OLMVA4@1 | |
| - | | 2 | Brownian motion: Markov property and further properties | {{:world:td3_cs.pdf| TD 3}} and {{:world:note_2_cs.pdf| notes}} | | + | | 2 | Brownian motion: Markov property and further properties | {{:world:td3_cs.pdf| TD 3}} and {{:world:note_2_cs.pdf| notes}} and {{:world:note_2_cs_2027.pdf| notes made during class}} | |
| - | | 3 | End Chapter 2. Filtration and measurability. Starting continuous martingales | {{:world:chap_2_complete_cs.pdf| complete notes chapter 2}} and {{:world:chap3_cs.pdf| notes chapter 3}} | | + | | 3 | End Chapter 2. Filtration and measurability. | {{:world:chap_2_complete_cs.pdf| complete notes chapter 2}} and {{:world:chap3_cs.pdf| notes chapter 3}} | |
| - | | 4 | Continuous martingales -- Bounded variation processes | {{:world:chap4_cs.pdf| notes chapter 4}} {{:world:td_mart_mva.pdf| TD3}} | | + | | 4 | | | |
| - | | 5 | Local martingales and their bracket | {{:world:chap5_cs.pdf| notes chapter 5}} {{:world:td_semi_mart_mva.pdf| TD4}} | | + | | 5 | | | |
| - | | 6 | Stochastic integration with respect to semi-martingales | {{:world:chap_5_cs_end.pdf| notes End chapter 5}} {{:world:chap6_cs.pdf| notes chapter 6}} {{:world:td_sto_int.pdf| TD5}} | | + | | 6 | | | |
| - | | 7 | Ito formula | {{:world:chap_7_cs.pdf| notes chapter 7}} {{:world:td_7_cs.pdf| TD6}} | | + | | 7 | | | |
| - | | 8 | Stochastic Differential Equations | {{:world:chap9_cs.pdf| notes chapter 7}} {{:world:td_7_cs_p.pdf| Some solutions of TD6}} {{:world:td_8_cs.pdf| TD7}} {{:world:td_8_cs_p.pdf| Some solutions of TD7}} | | + | | 8 | | | |
| - | | 9 | | | | + | | 9 | | | |
world/mva.1774699110.txt.gz · Last modified: 2026/03/28 12:58 by alain
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