Ergodic Theory and Dynamical Systems Seminar(Regularity of the Lyapunov exponent of random product of matrices)

분야Field
날짜Date	2022-10-19 ~ 2022-10-19	시간Time	16:00 ~ 18:00
장소Place	Online streaming (Zoom)	초청자Host
연사Speaker	Jamerson Bezerra	소속Affiliation	Nicolaus Copernicus University
TOPIC	Ergodic Theory and Dynamical Systems Seminar(Regularity of the Lyapunov exponent of random product of matrices)
소개 및 안내사항Content	Regularity of the Lyapunov exponent of random product of matrices The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contri- butions in the past years. It is well established in the literature that the function which associates each finite supported measure $\mu$ its Lyapunov exponents $L(\mu)$ is continuous, however, in general, it can have really poor modulus of continuity. The purpose of this talk is to present a quantitative result on the control of the modulus of continuity for generic finitely supported measures $\mu$. More specifically, we provide an explicit upper bound on the local Holder regularity of the Lyapunov for this generic class. ​https://us02web.zoom.us/j/82314084603?pwd=emxpTXorVHRieERoRnovNTNTOTNGUT09 ​ ID: 823 1408 4603 PW: setds22

학회명Field	Ergodic Theory and Dynamical Systems Seminar(Regularity of the Lyapunov exponent of random product of matrices)
날짜Date	2022-10-19 ~ 2022-10-19	시간Time	16:00 ~ 18:00
장소Place	Online streaming (Zoom)	초청자Host
소개 및 안내사항Content	Regularity of the Lyapunov exponent of random product of matrices The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contri- butions in the past years. It is well established in the literature that the function which associates each finite supported measure $\mu$ its Lyapunov exponents $L(\mu)$ is continuous, however, in general, it can have really poor modulus of continuity. The purpose of this talk is to present a quantitative result on the control of the modulus of continuity for generic finitely supported measures $\mu$. More specifically, we provide an explicit upper bound on the local Holder regularity of the Lyapunov for this generic class. ​https://us02web.zoom.us/j/82314084603?pwd=emxpTXorVHRieERoRnovNTNTOTNGUT09 ​ ID: 823 1408 4603 PW: setds22

성명Field	Ergodic Theory and Dynamical Systems Seminar(Regularity of the Lyapunov exponent of random product of matrices)
날짜Date	2022-10-19 ~ 2022-10-19	시간Time	16:00 ~ 18:00
소속Affiliation	Nicolaus Copernicus University	초청자Host
소개 및 안내사항Content	Regularity of the Lyapunov exponent of random product of matrices The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contri- butions in the past years. It is well established in the literature that the function which associates each finite supported measure $\mu$ its Lyapunov exponents $L(\mu)$ is continuous, however, in general, it can have really poor modulus of continuity. The purpose of this talk is to present a quantitative result on the control of the modulus of continuity for generic finitely supported measures $\mu$. More specifically, we provide an explicit upper bound on the local Holder regularity of the Lyapunov for this generic class. ​https://us02web.zoom.us/j/82314084603?pwd=emxpTXorVHRieERoRnovNTNTOTNGUT09 ​ ID: 823 1408 4603 PW: setds22

성명Field	Ergodic Theory and Dynamical Systems Seminar(Regularity of the Lyapunov exponent of random product of matrices)
날짜Date	2022-10-19 ~ 2022-10-19	시간Time	16:00 ~ 18:00
호실Host		인원수Affiliation	Jamerson Bezerra
사용목적Affiliation		신청방식Host	Nicolaus Copernicus University
소개 및 안내사항Content	Regularity of the Lyapunov exponent of random product of matrices The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contri- butions in the past years. It is well established in the literature that the function which associates each finite supported measure $\mu$ its Lyapunov exponents $L(\mu)$ is continuous, however, in general, it can have really poor modulus of continuity. The purpose of this talk is to present a quantitative result on the control of the modulus of continuity for generic finitely supported measures $\mu$. More specifically, we provide an explicit upper bound on the local Holder regularity of the Lyapunov for this generic class. ​https://us02web.zoom.us/j/82314084603?pwd=emxpTXorVHRieERoRnovNTNTOTNGUT09 ​ ID: 823 1408 4603 PW: setds22