MEASURE THEORY AND ADVANCED ANALYSIS

The objective of this reading course is to provide a sufficiently deep introduction to the measure theory. The course will involve studying chapters from the book Probability and Measure by Patrick Billingsley (third edition). The course is scheduled to start on September 24, we will meet every Thursday at 7:30 PM (Yerevan time) via Zoom. I will post here the homework assignments every week.

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  1. Vahagn NersesyanSeptember 24, 2020 at 10:02 PM

    Here is the homework for October 1, 2020:

    1. Read Section 1 on Borel's normal number theorem
    2. Resolve problems 1.1-1.3

    ReplyDelete
  2. Vahagn NersesyanOctober 2, 2020 at 12:39 AM

    Homework for October 8, 2020:

    1. Read Section 2 on Probability measures
    2. Resolve problems 2.1-2.3

    ReplyDelete
  3. Vahagn NersesyanOctober 10, 2020 at 12:35 AM

    Homework for October 15, 2020:

    1. Read Section 3: Existence and extension
    2. Resolve problems 3.1-3.2

    ReplyDelete
  4. Vahagn NersesyanOctober 16, 2020 at 12:40 AM

    Homework for October 22, 2020:

    1. Revise Sections 1-3
    2. Resolve problems 3.14, 3.16-3.21

    ReplyDelete
  5. Vahagn NersesyanOctober 23, 2020 at 1:08 AM

    Homework for October 30, 2020:

    1. Read Section 4: Denumerable Probabilities
    2. Resolve problems 4.10-4.11

    ReplyDelete
  6. UnknownOctober 29, 2020 at 8:26 AM

    Բարև Ձեզ։ Մեր պարապմունքը վաղը ժամը 9-ին, չէ՞, ճիշտ ե՞մ հիշում։

    ReplyDelete
  7. TsovinarOctober 30, 2020 at 7:27 PM

    ինձ մոտ կապն ընդհատվեց, այդ պատճառով ավտոմատ դուրս եկա

    ReplyDelete
  8. Vahagn NersesyanOctober 31, 2020 at 12:22 PM

    Homework for November 5:

    1. Read Section 5: Simple Random Variables
    2. Resolve problems 4.11 (b) and (c), 5.15-5.18

    ReplyDelete
  9. TsovinarNovember 3, 2020 at 2:41 PM

    Բարև Ձեզ։ Մեր հաջորդ հանդիպումը հինգշաբթի 7.30 է՞

    ReplyDelete
    Replies
    1. Vahagn NersesyanNovember 4, 2020 at 11:51 PM

      Բարև Ծովինար։ Այո, հինգշաբթի 7.30-ին է։

      Delete
  10. Vahagn NersesyanNovember 6, 2020 at 12:28 PM

    Homework for November 12:

    1. Read Section 6: The Law of Large Numbers
    2. Resolve problems 6.4-6.8

    ReplyDelete
  11. Vahagn NersesyanNovember 13, 2020 at 3:13 PM

    Homework for November 19:

    1. Read pages 111-116 of Section 8: Markov Chains
    2. Resolve problems 8.1-8.3

    ReplyDelete
  12. Vahagn NersesyanNovember 21, 2020 at 1:29 AM

    Homework for November 26:

    1. Read pages 117-124 of Section 8: Markov Chains
    2. Resolve problems 8.5 and 8.6



    ReplyDelete
  13. Vahagn NersesyanNovember 27, 2020 at 4:58 PM

    Homework for December 3:

    1. Read pages 124-131 of Section 8: Markov Chains
    2. Resolve problem 8.27

    ReplyDelete
  14. Vahagn NersesyanDecember 5, 2020 at 1:45 PM

    Homework for December 10:

    1. Read Section 10: General measures
    2. Resolve problem 10.1-10.5

    ReplyDelete
  15. Vahagn NersesyanDecember 11, 2020 at 12:20 AM

    Homework for December 17:

    1. Read Section 11: Outer measure
    2. Resolve problem 11.1-11.5

    ReplyDelete

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