- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- A rapid course on generated Jacobian equations
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
A rapid course on generated Jacobian equations Guillen, Nestor
Description
The general framework for Generated Jacobian Equations (GJE) was first studied in a systematic fashion by Neil Trudinger in 2014, motivated by near field geometric optics problems. These equations involve the prescription of the Jacobian of a transformation derived from a scalar potential, which itself arises as the envelope of a some family of "generating" functions. As such, they also appear in areas such as economics, geometric optics, and optimal transport --which, to use the economic literature terminology, corresponds to the special case of "quasilinear" generating functions. I will discuss these examples as well as the elements of the theory of GJE, and provide a partial overview of the growing literature on the field.
Item Metadata
Title |
A rapid course on generated Jacobian equations
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2017-04-10T08:59
|
Description |
The general framework for Generated Jacobian Equations (GJE) was first studied in a systematic fashion by Neil Trudinger in 2014, motivated by near field geometric optics problems. These equations involve the prescription of the Jacobian of a transformation derived from a scalar potential, which itself arises as the envelope of a some family of "generating" functions. As such, they also appear in areas such as economics, geometric optics, and optimal transport --which, to use the economic literature terminology, corresponds to the special case of "quasilinear" generating functions. I will discuss these examples as well as the elements of the theory of GJE, and provide a partial overview of the growing literature on the field.
|
Extent |
53.0
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: University of Massachusetts Amherst
|
Series | |
Date Available |
2019-03-10
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0376724
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Researcher
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International