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The solution space geometry of random linear equations
solution space geometry random linear equations Data Structures and Algorithms
2011/10/9
Abstract: We consider random systems of linear equations over GF(2) in which every equation binds k variables. We obtain a precise description of the clustering of solutions in such systems. In partic...
$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2010/12/28
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...
$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2011/3/4
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...
Tail behavior of stationary solutions of random difference equations: the case of regular matrices
Markov renewal theory implicit renewal theory Harris recurrence
2010/12/1
Given a sequence (Mn,Qn)n≥1 of i.i.d. random variables with generic copy (M,Q)such that M is a regular d × d matrix and Q takes values in Rd, we consider the random difference equation (RDE) Rn = MnRn...