컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0255 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | Probability Theory and Applications (SS-16) |
| 영문제목 (Title(Eng.)) |
Variational principles for discrete maps |
| 저자(Author(s)) |
Georg Menz1 University of California1 |
| 초록본문(Abstract) | About joint work with Martin Tassy and/or Andrew Krieger. Previous works have shown that arctic circle phenomenons and limiting behaviors of some integrable discrete systems can be explained by a variational principle. In this talk we present a method to deduce variational principles for non-integrable discrete systems. We illustrate the method by considering two different models. In the first model, we consider graph homomorphisms from Z^d to a regular tree. In the second model, we derive a quenched variational principle for height functions exposed to a random field. |
| 분류기호 (MSC number(s)) |
82B20, 82B30, 82B41 |
| 키워드(Keyword(s)) | variational principles, non-integrable models, limit shapes, domino tilings, entropy, local surface tension, homogenization, sub-additive ergodic theorem |
| 강연 형태 (Language of Session (Talk)) |
English |