Great talk!
On Thursday, April 23, 2015 at 4:52:57 AM UTC+10, Nick Henderson wrote: > > Hi All, > > Just wanted to announce that we posted Jiahao's recent talk on our youtube > page: > > https://www.youtube.com/watch?v=68yy33jOkOs > > Thanks again to both Jiahao and Andreas for the great talks! > > Abstract: > > Free probability, random matrices and disorder in organic semiconductors > Jiahao Chen, MIT CSAIL > > Random matrix theory has long been used to study the spectral > properties of physical systems, and has led to a rich interplay > between probability theory and physics [1]. Historically, random > matrices have been used to model physical systems with random > fluctuations, or systems whose eigenproblems were too difficult to > solve numerically. This talk explores applications of RMT to the > physics of disorder in organic semiconductors [2,3]. Revisiting the > old problem of Anderson localization [4] has shed new light on the > emerging field of free probability theory [5]. I will discuss the > implications of free probabilistic ideas for finite-dimensional random > matrices [6], as well as some hypotheses about eigenvector locality. > Algorithms are available in the RandomMatrices.jl package [7] written > for the Julia programming language. > > [1] M. L. Mehta. Random matrices, 3/e, Academic Press, 2000. > [2] J. Chen, E. Hontz, J. Moix, M. Welborn, T. Van Voorhis, A. Suarez, > R. Movassagh, and A. Edelman. Error analysis of free probability > approximations to the density of states of disordered systems. > Phys. Rev. Lett. (2012) 109:36403. > [3] M. Welborn, J. Chen, and T. Van Voorhis. Densities of states for > disordered systems from free probability. Phys. Rev. B (2013) > 88:205113. > [4] P. W. Anderson. Absence of diffusion in certain random lattices. > Phys. Rev. (1958) 109:1492--1505. > [5] D. Voiculescu. Addition of certain non-commuting random variables. > J. Functional Anal. (1986) 66:323--346. > [6] J. Chen, T. Van Voorhis, and A. Edelman. Partial freeness of random > matrices. arXiv:1204.2257 > [7] https://github.com/jiahao/RandomMatrices.jl > >
