Browsing Applied Mathematics by Issue Date
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BackscatteringInduced Crossover in Deterministic Diffusion
(19960707)We study diffusion in a onedimensional periodic array of scatterers modeled by a simple map. The chaotic scattering process for this map can be changed by a control parameter and exhibits the dynamics of a crisis in chaotic ... 
Regular Spacings of complex eigenvalues in the onedimensional nonHermitian Anderson model
(200305)We prove that in dimension one the nonreal eigenvalues of the nonHermitian Anderson (NHA) model with a selfaveraging potential are regularly spaced. The class of selfaveraging potentials which we introduce in this paper ... 
The Thouless formula for random nonHermitian Jacobi matrices
(200512)Random nonHermitian Jacobi matricesJ n of increasing dimensionn are considered. We prove that the normalized eigenvalue counting measure ofJ n converges weakly to a limiting measure μ asn→∞. We also extend to the nonHermitian ... 
A few remarks on colourflavour transformations, truncations of random unitary matrices, Berezin reproducing kernels and Selbergtype integrals
(200701)We investigate diverse relations of the colourflavour transformations (CFT) introduced by Zirnbauer in [41, 42] to various topics in random matrix theory and multivariate analysis, such as measures on truncations of ... 
On absolute moments of characteristic polynomials of a certain class of complex random matrices
(200705)Integer moments of the spectral determinant  det(zI −W) 2 of complex random matrices W are obtained in terms of the characteristic polynomial of the Hermitian matrix WW∗ for the class of matrices W = AU where A is a ... 
Superstatistics, thermodynamics, and fluctuations
(200709)A thermodynamiclike formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account largescale variations of intensive variables of systems in nonequilibrium stationary ... 
Schur function averages for the real Ginibre ensemble
(200905)We derive an explicit simple formula for expectations of all Schur functions in the real Ginibre ensemble. It is a positive integer for all entries of the partition even and zero otherwise. The result can be used to ... 
Systematic approach to statistics of conductance and shotnoise in chaotic cavities
(200909)Applying random matrix theory to quantum transport in chaotic cavities, we develop a powerful method for computing the moments of the conductance and shotnoise (including their joint moments) of arbitrary order and at any ... 
A path integral approach to random motion with nonlinear friction
(20100115)Using a path integral approach, we derive an analytical solution of a nonlinear and singular Langevin equation, which has been introduced previously by PG de Gennes as a simple phenomenological model for the stickslip ... 
Truncations of random orthogonal matrices
(201010)Statistical properties of nonsymmetric real random matrices of size M , obtained as truncations of random orthogonal N × N matrices, are investigated. We derive an exact formula for the density of eigenvalues which ... 
Entropy of dynamical social networks.
(2011)Human dynamical social networks encode information and are highly adaptive. To characterize the information encoded in the fast dynamics of social interactions, here we introduce the entropy of dynamical social networks. ... 
Irredundant families of subcubes
(20110112) 
Calculation of the Voronoi boundary for lensshaped particles and spherocylinders
(20110203)We have recently developed a meanfield theory to estimate the packing fraction of nonspherical particles [A. Baule et al., Nature Commun. (2013)]. The central quantity in this framework is the Voronoi excluded volume, ... 
Almost isoperimetric subsets of the discrete cube
(20110217) 
Setwise intersecting families of permutations
(20120107) 
A proof of the CameronKu conjecture
(20120201)