We consider N -person differential games involving linear systems affected by white noise, running cost quadratic in the control and in the displacement of the state from a reference position, and with long-time-average integral cost functional. We solve an associated system of Hamilton-JacobiBellman and Kolmogorov-Fokker-Planck equations and find explicit Nash equilibria in the form of linear ...

We study connected Wightman functions of N conserved currents, each of which is formed from a scalar field and has even spin li. The UV divergence of this vertex function is regularized by the analytic continuation in the space dimension D −→ D − ǫ. We evaluate the residue of ǫ−1 only, which is a local interaction Lagrangian density and gauge invariant in linear approximation.

We study the bifurcation of limit cycles from the periodic orbits of a 2−dimensional (respectively 4−dimensional) linear center in R perturbed inside a class of discontinuous piecewise linear differential systems. Our main result shows that at most 1 (respectively 3) limit cycle can bifurcate up to first-order expansion of the displacement function with respect to the small parameter. This uppe...

In road construction, it is important to estimate difficult-measure stiffness of the pavement’s upper layer based the easier-to-measure overall stiffness and the stiffness of the lower layer. In situations when the overall stiffness is not yet sufficient, it is also important to estimate how much more we need to add to the upper layer to reach the desired overall stiffness. In this paper, for t...

The discrimination ability of four different methods for texture computation in ERS SAR imagery is examined and compared. Feature selection methodology and discriminant analysis are applied to find the optimal combination of texture features. By combining features derived from different texture models, the classification accuracy increased significantly.

In genome-wide association studies (GWAS), efficient incorporation of linkage disequilibria (LD) among densely typed genetic variants into analysis is a critical yet challenging problem. Functional linear models (FLM), which impose smoothing structure on the coefficients correlated covariates, are advantageous in mapping multiple with high LD. Here we propose novel constrained generalized FLM (...