AbstractLetA≔1101,B≔1011, and for n∈N, let Φ(n) be the number of matrices C which are products of A's and B's where both A and B must occur, such that the trace tr(C)=n. It has been conjectured thatΦ(n)∼12π2nlogn,n→∞.This conjecture is disproved by showing thatφ(n)≔Φ(n)nlogn,n⩾2,has an absolutely continuous limit distribution with respect to the Lebesque measure
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (198...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random ma-tri...
AbstractLetA≔1101,B≔1011, and for n∈N, let Φ(n) be the number of matrices C which are products of A'...
The classical Poisson limit theorem studies the limit laws of Sn where Sn=∑ n j=1Xjn and X1n,...,Xnn...
The distributions of the eigenvalues or functions of the elgenvalues of random matrices are very use...
Let σ(n)=∑d∣nd be the usual sum-of-divisors function. In 1933, Davenport showed that n/σ(n) possesse...
The existence of limit spectral distribution of the product of two independent random matrices is pr...
Abstract. This article gives sufficient conditions for the limit distribution of products of i.i.d. ...
AbstractThe existence of limit spectral distribution of the product of two independent random matric...
AbstractThe existence of limiting spectral distribution (LSD) of the product of two random matrices ...
SIGLETIB Hannover: RO 3009(142) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Inform...
In this manuscript, we study the limiting distribution for the joint law of the largest and the smal...
Let mu be a probability measure on GL(d)(R) and denote by S-n := g(n) middot middot middot g(1) the ...
If X1,X2,...,Xn are independent and identically distributed discrete random variables and Mn = max(X...
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (198...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random ma-tri...
AbstractLetA≔1101,B≔1011, and for n∈N, let Φ(n) be the number of matrices C which are products of A'...
The classical Poisson limit theorem studies the limit laws of Sn where Sn=∑ n j=1Xjn and X1n,...,Xnn...
The distributions of the eigenvalues or functions of the elgenvalues of random matrices are very use...
Let σ(n)=∑d∣nd be the usual sum-of-divisors function. In 1933, Davenport showed that n/σ(n) possesse...
The existence of limit spectral distribution of the product of two independent random matrices is pr...
Abstract. This article gives sufficient conditions for the limit distribution of products of i.i.d. ...
AbstractThe existence of limit spectral distribution of the product of two independent random matric...
AbstractThe existence of limiting spectral distribution (LSD) of the product of two random matrices ...
SIGLETIB Hannover: RO 3009(142) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Inform...
In this manuscript, we study the limiting distribution for the joint law of the largest and the smal...
Let mu be a probability measure on GL(d)(R) and denote by S-n := g(n) middot middot middot g(1) the ...
If X1,X2,...,Xn are independent and identically distributed discrete random variables and Mn = max(X...
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (198...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random ma-tri...
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