COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Probability > JOINT WITH NETWORKS (OR) SEMINAR SERIES:A Survey of Results for Deletion Channels and Related Synchronization Channels

## JOINT WITH NETWORKS (OR) SEMINAR SERIES:A Survey of Results for Deletion Channels and Related Synchronization ChannelsAdd to your list(s) Download to your calendar using vCal - Michael Mitzenmacher, Harvard University
- Tuesday 24 February 2009, 14:00-15:00
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Neil Walton. At this point, it seems that most everything is known about the basic channels studied in information theory. For the i.i.d. (independent and identically distributed) binary erasure channel and the i.i.d. binary symmetric error channel, the capacity has long been known, and there are very efficient encoding and decoding schemes that are near capacity. The situation is very different for the i.i.d. binary deletion channel. With this channel, the sender sends n bits, and each bit is deleted with some fixed probability p. So, for example, the sender might send 10110010, and the receiver obtains 1100. The i.i.d. binary deletion channel is perhaps the most basic channel that incorporates the challenge of synchronization. Surprisingly, even the capacity of the deletion channel remains unknown! In this talk, I will survey what is known about the deletion channel, focusing on our recent work on bounds on the capacity. The main result is that the for any probability p, the deletion channel has capacity at least (1-p)/9. Hence, the capacity of the deletion channel is always within a constant factor of the erasure channel (which has capacity (1-p)). We also discuss the many remaining open problems in the area of synchronization channels. No previous background is necessary. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
- bld31
Note that ex-directory lists are not shown. |
## Other listsCambridge City Seminar at CRASSH Type the title of a new list here israel## Other talksHow could education systems research prompt a change to how DFIS works on education Coinage in the later medieval countryside: single-finds and the evidence from Rendlesham, Suffolk What has Engineering Design to say about Healthcare Improvement? TODAY Adrian Seminar - "Functional synaptic architecture of visual cortex" Phenotypic changes induced by stress and developmental reprogramming in plants Plant host-pathogen coevolution and exploring local adaptation of an Arabidopsis thaliana complex Resistance gene locus Academic CV Workshop |