Browsing Applied Mathematics by Title
Now showing items 120 of 140

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 ... 
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 ... 
A proof of the CameronKu conjecture
(20120201) 
A quasistability result for dictatorships in S n
(20140929) 
A Stability Result for Balanced Dictatorships in Sn
(20130807) 
Adhesive loose packings of small dry particles.
(20141008)We explore adhesive loose packings of small dry spherical particles of micrometer size using 3D discreteelement simulations with adhesive contact mechanics and statistical ensemble theory. A dimensionless adhesion parameter ... 
Almost isoperimetric subsets of the discrete cube
(20110217) 
An approximate isoperimetric inequality for rsets
(201203)We prove a vertexisoperimetric inequality for [n]^(r), the set of all relement subsets of {1,2,...,n}, where x,y \in [n]^(r) are adjacent if x \Delta y=2. Namely, if \mathcal{A} \subset [n]^(r) with \mathcal{A}=\alpha ... 
An isoperimetric inequality for conjugationinvariant sets in the symmetric group
(Springer Verlag, 20160524)We prove an isoperimetric inequality for conjugationinvariant sets of size k in Sn, showing that these necessarily have edgeboundary considerably larger than some other sets of size k (provided k is small). Specifically, ... 
Anomalous processes with general waiting times: functionals and multipoint structure.
(20141125)Many transport processes in nature exhibit anomalous diffusive properties with nontrivial scaling of the mean square displacement, e.g., diffusion of cells or of biomolecules inside the cell nucleus, where typically a ... 
Asymptotic normality of quadratic forms of martingale differences
(Springer Verlag (Germany), 20160718) 
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 ... 
Beating the Omega Clock: An Optimal Stopping Problem with Random TimeHorizon Under Spectrally Negative Lévy Models
(20170725)We study the optimal stopping of an American call option in a random timehorizon under exponential spectrally negative L evy models. The random timehorizon is modeled as the socalled Omega default clock in insurance, ... 
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, ...