product of random matrices
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STRAIGHT CALCULATION OF HELIX–COIL TRANSITION PARAMETERS IN HETEROPOLYMERS

2018 ◽  
Vol 52 (1 (245)) ◽  
pp. 47-54
Author(s):  
A.V. Asatryan ◽  
A.K. Andriasyan ◽  
A.A. Hakobyan ◽  
Sh.A. Tonoyan ◽  
Ye.Sh. Mamasakhlisov ◽  
...  
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Random Matrices ◽  
Polypeptide Chain ◽  
Generalized Model ◽  
Product Of Random Matrices ◽  
Coil Transition ◽  
The Future ◽  
Annealing Method

The main goal of this paper is the investigation of helix–coil transition in heteropolymers by means of straight calculation of partition function, free energy, helicity degree and other characteristics of transition on the bases of generalized model of polypeptide chain. Product of random matrices was applied to solve the problem for the comparison with constrained annealing method in the future.

scholarly journals Distribution of linear statistics of singular values of the product of random matrices

Bernoulli ◽  
2017 ◽  
Vol 23 (4B) ◽  
pp. 3067-3113
Author(s):  
Friedrich Götze ◽  
Alexey Naumov ◽  
Alexander Tikhomirov
Keyword(s):  
Random Matrices ◽  
Singular Values ◽  
Linear Statistics ◽  
Product Of Random Matrices

scholarly journals TENSOR PRODUCTS OF RANDOM UNITARY MATRICES

2012 ◽  
Vol 01 (04) ◽  
pp. 1250009 ◽  
Author(s):  
TOMASZ TKOCZ ◽  
MAREK SMACZYŃSKI ◽  
MAREK KUŚ ◽  
OFER ZEITOUNI ◽  
KAROL ŻYCZKOWSKI
Keyword(s):  
Tensor Product ◽  
Random Matrices ◽  
Tensor Products ◽  
Unitary Matrices ◽  
Product Of Random Matrices ◽  
Spectral Statistics ◽  
Random Unitary Matrices ◽  
Unitary Ensemble

Tensor products of M random unitary matrices of size N from the circular unitary ensemble are investigated. We show that the spectral statistics of the tensor product of random matrices becomes Poissonian if M = 2, N become large or M become large and N = 2.

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