Colloquium
Levy-Khintchine Random Matrices
작성자Author
관리자
작성일Date
2017-11-16 09:00
조회Views
1150
분야Field | 2017 Math Colloquium | ||
---|---|---|---|
날짜Date | 2017-12-01 | 시간Time | 15:50 ~ 18:00 |
장소Place | Math. Bldg. 404 | 초청자Host | 김건우 |
연사Speaker | Paul Jung | 소속Affiliation | KAIST |
TOPIC | Levy-Khintchine Random Matrices | ||
소개 및 안내사항Content | Title : Levy-Khintchine Random Matrices. Abstract: We study a class of Hermitian random matrices which includes Wigner matrices, heavy-tailed random matrices, and sparse random matrices such as adjacency matrices of Erdos-Renyi graphs with p=1/N. Our matrices have real entries which are i.i.d. up to symmetry. The distribution of entries depends on N, and we require sums of rows to converge in distribution; it is then well-known that the limit must be infinitely divisible. We show that a limiting empirical spectral distribution (LSD) exists, and via local weak convergence of associated graphs, the LSD corresponds to the spectral measure associated to the root of a graph which is formed by connecting infinitely many Poisson weighted infinite trees using a backbone structure of special edges. One example covered are matrices with i.i.d. entries having infinite second moments, but normalized to be in the Gaussian domain of attraction. In this case, the LSD is a semi-circle law. |
전체Total 63
일시Date | 제목Title | 연사Speaker | 장소Place |
2018-06-01 |
2018 Math Colloquim | Why do we study local fields?
수학과
|
2018.05.28
|
추천 0
|
조회 845
|
Sungmun Cho | Math. Bldg. 404 |
2018-05-25 |
2018 Math Colloquim | Busemann's intersection inequality in non-Euclidean spaces
수학과
|
2018.05.23
|
추천 0
|
조회 597
|
Jaegil Kim | Math. Bldg. 404 |
2018-05-18 |
2018 Math Colloquim | Universality of random graphs and random intersection graphs related to MERS
수학과
|
2018.04.27
|
추천 0
|
조회 651
|
Sang June Lee | Math. Bldg. 404 |
2018-04-20 |
2018 Math Colloquim | Policy gradient methods for reinforcement learning
수학과
|
2018.04.17
|
추천 0
|
조회 684
|
Kee-Ung Kim | Math. Bldg. 404 |
2018-04-06 |
2018 Math Colloquim | Introduction to Okounkov bodies
수학과
|
2018.04.03
|
추천 -5
|
조회 734
|
Sung Rak Choi | Math. Bldg. 404 |
2018-03-30 |
2018 Math Colloquium | Climate Complexity( A journey into ocean mud, ice cores, supercomputing and bifurcation analysis )
관리자
|
2018.03.28
|
추천 -2
|
조회 772
|
Axel Timmermann | Math. Bldg. 404 |
2018-03-23 |
2018 Math Colloquium | Classical and Quantum White Noise Theory
수학과
|
2018.03.19
|
추천 -1
|
조회 765
|
Un Cig Ji | Math. Bldg. 404 |
2018-03-16 |
2018 Math Colloquium | Torus actions and dynamical systems
수학과
|
2018.03.12
|
추천 -1
|
조회 692
|
Nguyen TienZung | Math. Bldg. 404 |
2018-03-09 |
2018 Math Colloquium | Mathematics of Medical Image Analysis and Machine Learning
수학과
|
2018.03.02
|
추천 -1
|
조회 713
|
Jin Keun Seo | Math. Bldg. 404 |
2018-02-23 |
2018 Math Colloquium | A question of John Milnor and localization of groups
수학과
|
2018.02.20
|
추천 -1
|
조회 679
|
Jae Choon Cha | Math. Bldg. 404 |