聯絡我們 網站地圖 中央大學
 
 
   
     
 
主  題
RECENT DEVELOPMENTS IN FREE AND BI-FREE  
 
 
 
時  間
2015-11-19 下午 3:30~5:00  
 
 
 
地  點
鴻經館 107 室  
 
 
 
主 講 者
黃皓瑋教授 (國立中山大學應數系)  
 
 
 
內  容
Free probability, arising from the theory of operator algebras, is a mathematical theory that studies random variables in non-commutative probability spaces. This theory was initiated by D. Voiculescu around 1985 in order to study an important unsolved problem in operator algebra, and is often regarded as a non-commutative parallelism of classical probability theory. Independence in non-commutative probability spaces (or in quantum physics) is called freeness, the analogue of the classical notion of independence. Surprisingly, the random matrix models play a major role in the study of free probability theory. Connections to other theories, such as classical probability theory, combinatorics, wireless communication, large deviations, quantum information theory, etc. were established later on. In this talk, we will briefly introduce fundamental results in free probability and random matrix theories, and their connections to classical probability theory. More precisely, we will talk about the free counterpart of limit theorems, infinitely divisible distributions along with their Lévy-Hinčin representations, Lévy processes, stale laws, etc. If time permits, we will also introduce bi-free probability, the newly developed theory in free probability, and its recent developments.
 
   
 
附  件
 
 
 
   
 
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近期演講
107 上學期演講
106 下學期演講
106 上學期演講
105 下學期演講

 

 

 

 

 

 

       
 
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