University COVID-19 update

The University of Waterloo is constantly updating our most Frequently Asked Questions.

Questions about buildings and services? Visit the list of Modified Services.

Please note: The University of Waterloo is closed for all events until further notice.

Analysis seminarExport this event to calendar

Friday, July 12, 2013 — 3:30 PM EDT

Seminar has been cancelled due to sickness.

Nikita Sidorov, The University of Manchester

“The doubling map with asymmetrical holes”

Let T denote the doubling map on the interval [0,1] and let 0 < a < b < 1. Denote by J(a,b) the set of all x in [0, 1] such that the T -orbit of x has an empty intersection with the interval (a, b).
In my talk I am going to give a full description of (a,b) such that J(a,b) is of positive Hausdorff dimension. This description will involve balanced words and Sturmian sequences. I will also explain how this family of open dynamical systems provides explicit “routes to chaos” previously observed numerically in conventional dynamical systems.
This talk is based on a recent joint paper with Paul Glendinning.

Location 
MC - Mathematics & Computer Building
5046
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

S M T W T F S
27
28
29
30
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
  1. 2020 (78)
    1. October (1)
    2. September (3)
    3. August (1)
    4. July (5)
    5. June (1)
    6. May (3)
    7. March (16)
    8. February (26)
    9. January (22)
  2. 2019 (199)
    1. December (7)
    2. November (26)
    3. October (19)
    4. September (13)
    5. August (7)
    6. July (12)
    7. June (18)
    8. May (22)
    9. April (11)
    10. March (25)
    11. February (17)
    12. January (22)
  3. 2018 (212)
  4. 2017 (281)
  5. 2016 (335)
  6. 2015 (211)
  7. 2014 (235)
  8. 2013 (251)
  9. 2012 (135)