Neural network black-box modeling is usually performed using nonlinear inputoutput models. The goal of this paper is to show that there are advantages in using nonlinear state-space models, which constitute a larger class of nonlinear dynamical models, and their corresponding state-space neural predictors. We recall the fundamentals of both input-output and state-space black-box modeling, and s...

X iv :0 70 5. 25 72 v1 [ ph ys ic s. ge nph ] 1 7 M ay 2 00 7 SUPERSYMMETRIC YANG MILLS FIELDS AND BLACK HOLES: IN TEN DIMENSIONAL UNIFIED FIELD THEORY AJAY PATWARDHAN Physics department, St Xavier’s college, Mumbai, India Visitor, Institute of Mathematical Sciences, Chennai, India ABSTRACT The ten dimensional unified field theory has a 4 dimensional Riemannian space time and six dimensional Ca...

We have found the entropy of N=2 extreme black holes associated with general Calabi-Yau moduli space and prepotential F = dABC XXX X0 . We show that for arbitrary dABC and black hole charges p and q the entropy-area formula depends on combinations of these charges and parameters dABC . These combinations are the solutions of the simple system of algebraic equations. We gave a few examples of pa...

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS H-field. The entropy of the extreme black hole can then be computed using string theory and the asymptotic properties of anti-de Sitter space, without recourse to a...

We calculate the difference of one-loop vacuum energies for massive scalar field in five-dimensional AdS black hole. (The same is done in five-dimensional deSitter space). In each case this difference is specified by the boundary conditions corresponding to the double-trace operator (massive term) and it describes RG flow in the manner discussed by Gubser-Mitra for pure AdS space. For AdS black...

The background for string propagation is obtained by a chiral gauging of the SL(2, R) Wess-Zumino-Witten model. It is shown explicitly that the resulting background fields satisfy the field equations of the three dimensional string effective action and the target space has curvature singularity. Close connection of our solution with the three dimensional black string is demonstrated. IP/BBSR/92...

Scalar field collapse in three-dimensions. Abstract We study an analytical solution to the Einstein's equations in 2 + 1-dimensions, representing the collapse of a circularly symmetric, minimally coupled, massless, scalar field. Depending on the value of certain parameters , this solution exhibits all three, known, end states of a collapse situation: Minkowski space-time after a bouncing, naked...

Black hole mechanics was recently extended by replacing the more commonly used event horizons in stationary space-times with isolated horizons in more general space-times (which may admit radiation arbitrarily close to black holes). However, so far the detailed analysis has been restricted to nonrotating black holes (although it incorporated arbitrary distortion, as well as electromagnetic, Yan...

A black string generaliztion of the Myers-Perry N dimensional rotating black hole is considered in an (N+1) dimensional Randall-Sundrum brane world. The black string intercepts the (N-1) brane in a N dimensional rotating black hole. We examine the diverse cases arising for various non-zero rotation components and obtain the geodesic equations for these space-time. The asymptotics of the resulti...

We consider a one-brane probe in the presence of a five-dimensional black hole in the classical limit. The velocity-dependent force on a slowly-moving probe is characterized by a metric on the probe moduli space. This metric is computed for large black holes using low-energy supergravity, and for small black holes using D-brane gauge theory. The results are compared.