標(biāo)題:Transient Dynamics and Quasi-Stationary Distributions
報(bào)告時(shí)間:2024年04月19日(星期五)13:30-14:30
報(bào)告地點(diǎn):人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院104教室
主講人:易英飛
主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介:
There are natural connections between transient dynamics (such as transient chaos and transient oscillations) of a complex system and a quasi-stationary distribution (QSD) of the reduced stochastic system. QSD are those almost invariant to a diffusion process over exponentially long time, representing important transient stochastic dynamics. They arise frequently in applications especially in chemical reactions and population systems admitting extinction states. This talk will present some rigorous results on the existence, uniqueness, concentration, and convergence of QSDs along with their connections to the spectrum of the Fokker-Planck operator.
主講人簡(jiǎn)介:
易英飛,加拿大阿爾伯塔大學(xué)Killiam講席教授,吉林大學(xué)柔性引進(jìn)人才特聘教授,美國(guó)佐治亞理工學(xué)院兼職教授,JDDE雜志主編、JDE等雜志的編委,研究方向?yàn)閯?dòng)力系統(tǒng)。主要研究成果發(fā)表在Comm. Pure Appl. Math, Comm. Math. Phy., Trans. Amer. Math. Soc., J. Func. Anal., Ann. Henri Poincaré等高水平學(xué)術(shù)期刊,取得了一系列有意義的成果,是動(dòng)力系統(tǒng)領(lǐng)域的知名學(xué)者。