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IMA Short Course
The Internet for Mathematicians
January 7-9, 2004


Probability and Statistics in Complex Systems: Genomics, Networks, and Financial Engineering, September 1, 2003 - June 30, 2004

Organizers:

Walter Willinger
AT&T Labs - Research
walter@research.att.com
http://www.research.att.com/~walter/

and

Bruce Hajek
Department of Electrical and Computer Engineering
University of Illinois, Urbana-Champaign

b-hajek@uiuc.edu
http://tesla.csl.uiuc.edu/~hajek/

IMA Public Lecture: Steven H. Strogatz, Sync: The Emerging Science of Spontaneous Order, January 7, 2004
Talks(A/V)    Talks (Audio)  
IMA Tutorial: Measurement, Modeling and Analysis of the Internet, January 11, 2004
IMA Workshop: Measurement, Modeling and Analysis of the Internet, January 12-16, 2004

Description:

This three-day course is mainly aimed at a mathematical audience that wants to know more about how the Internet works -- its architecture and protocols that have (in part) been designed some 20-30 years ago, the dominant technologies and applications that have been responsible for (much of) the Internet's explosive growth throughout the last 10-20 years, and the hardware and software components that have supported a development that has transformed the Internet into (one of) the largest, complex, man-made system.

The short course will feature a range of highly informative tutorials that will deal with topics of relevance to and will prepare the participants for the upcoming workshops. Topics will include

- Architecture, protocols, design principles, evolution (4 hours)

- Measurements, simulation, analysis (4 hours)

- Control theory, traffic dynamic, topology (4 hours).

By the end of this short course, the participants should have a basic understanding of the main difficulties associated with measuring, operating, modeling, and analyzing large-scale communication networks such as today's Internet. They will also appreciate the fact that while the Internet has become a gold mine for new, exciting and challenging mathematical problems, solving them in a way that is relevant for networking engineers will in general require new mathematics.

SHORT COURSE SCHEDULE
WEDNESDAY, JANUARY 7
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00-10:00 Bruce Hajek
University of Illinois, Urbana-Champaign

Networking 101

Slides:   pdf

10:30-11:30 Timothy G. Griffin
Intel Research Laboratory at Cambridge

On IP Routing

Slides:   html   pdf    ps    ppt

1:30-2:30 Bruce Hajek
University of Illinois, Urbana-Champaign

Networking 101

Slides:   pdf

3:00-4:00 Timothy G. Griffin
Intel Research Laboratory at Cambridge

On IP Routing

Slides:   html   pdf    ps    ppt

5:00-6:30 IMA Reception IMA East, 400 Lind Hall
7:00 pm Smith Hall 100 IMA Public Lecture:
Steven H. Strogatz
Cornell University

Sync: The Emerging Science of Spontaneous Order

Talks(A/V)    Talks (Audio)

THURSDAY, JANUARY 8
The short course will meet in the Lind 409 classroom on Thursday and Friday.
9:00-10:00 Jennifer Rexford
AT&T Labs-Research

On Measurements for Network Operations

Slides:   html    pdf    ps    ppt

Survey Paper: "Passive Traffic Measurement for Network Operations"    pdf    ps

10:30-11:30 David Moore
CAIDA

On Measuring the Internet

Slides:   html    pdf     ps    ppt

1:30-2:30 Jennifer Rexford
AT&T Labs-Research

On Measurements for Network Operations

Slides:   html    pdf    ps    ppt

Survey Paper: "Passive Traffic Measurement for Network Operations"    pdf    ps

3:00-4:00 David Moore
CAIDA

CAIDA

Slides:   html    pdf    ps    ppt

FRIDAY, JANUARY 9
The short course will meet in the Lind 409 classroom on Thursday and Friday.
9:00-10:00 R. Srikant
University of Illinois, Urbana-Champaign

TCP Stability and Resource Allocation: Part I

Slides:   html    pdf    ps    ppt

10:30-11:30 Walter Willinger
AT&T Labs - Research

On Internet Traffic Dynamics and Internet Topologies

Slides:   html    pdf    ps   ppt
1:30-2:30 R. Srikant
University of Illinois, Urbana-Champaign

TCP Stability and Resource Allocation: Part II

Slides:   html    pdf    ps    ppt

3:00-4:00 Walter Willinger
AT&T Labs - Research

On Internet Traffic Dynamics and Internet Topologies

Slides:   html    pdf    ps   ppt

LIST OF CONFIRMED PARTICIPANTS

NAMEDEPARTMENTAFFILIATION
Scot AdamsInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Soohan AhnDepartment of Statistics Seoul National University
David AldersonDepartment of Computer Science California Institute of Technology
Yahya Al-Harthi University of Minnesota, Twin Cities
Greg AndersonSchool of Mathematics University of Minnesota, Twin Cities
Douglas ArnoldInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Donald AronsonInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Gerard AwanouInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Karen BallInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Antar BandyopadhyayInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Keith Berrier Rice University
Maury BramsonSchool of Mathematics University of Minnesota, Twin Cities
Hi Jun ChoeDepartment of Mathematics Yonsei University
Wanyang DaiDepartment of Mathematics Nanjing University
Jim Diehl University of Minnesota, Twin Cities
Dan DobbsDepartment of Mathematics University of Wyoming
David DuDepartment of Computer Science University of Minnesota, Twin Cities
Robert FeinbergDepartment of Defense U.S. Government
Shmuel FriedlandDepartment of Mathematics, Statistics, and Computer Science University of Illinois, Chicago
Tim GaroniInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Tim Griffin Schlumberger Cambridge Research
Bruce HajekDepartment of Electrical and Computer Engineering University of Illinois at Urbana-Champaign
Hazem HamdanSchool of Mathematics University of Minnesota, Twin Cities
Chuan-Hsiang HanInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Naresh JainSchool of Mathematics University of Minnesota, Twin Cities
Mohammad KhanDepartment of Mathematics Kent State University
Dohyun KimDepartment of Statistics Seoul National University
Thomas KurtzDepartment of Mathematics University of Wisconsin, Madison
Yoonjung LeeDepartment of Statistics University of Wisconsin, Madison
Yingping LuDepartment of Computer Science and Engineering University of Minnesota, Twin Cities
Richard McGeheeSchool of Mathematics University of Minnesota, Twin Cities
David Moore CAIDA
Haewon NamInstitute of Mathematics and Statistics University of Minnesota, Twin Cities
Amir NiknejadDepartment of Mathematics University of Illinois, Chicago
Lea PopovicInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Grzegorz RempalaDepartment of Mathematics University of Louisville
Jennifer RexfordStatistics Research AT&T Laboratories - Research
Fadil SantosaInstitute for Mathematics and its Applications University of Minnesota, Twin Cities
Arnd ScheelSchool of Mathematics University of Minnesota, Twin Cities
Bryan ShaderDepartment of Mathematics University of Wyoming
R. SrikantDepartment of Electrical and Computer Engineering University of Illinois at Urbana-Champaign
Pradyumna UpadrashtaDepartment of Scientific Computation University of Minnesota, Twin Cities
Walter WillingerStatistics Research AT&T Laboratories - Research
Yuhong YangDepartment of Statistics Iowa State University
Ofer ZeitouniSchool of Mathematics University of Minnesota, Twin Cities
Bo ZengDepartment of Industrial Engineering Purdue University
Jun ZhaoInstitute of Mathematics and its Application University of Minnesota, Twin Cities

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