Nonrotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction (for large horizon areas)â€¦ (More)

The thermodynamics of general relativistic systems with boundary, obeying a Hamiltonian constraint in the bulk, is argued to be determined solely by the boundary quantum dynamics, and hence by theâ€¦ (More)

The effects of thermal fluctuations of the mass (horizon area) and electric charge, on the entropy of non-rotating charged macroscopic black holes, are analyzed using a grand canonical ensemble.â€¦ (More)

It is shown that a non-rotating macroscopic black hole with very large horizon area can remain in stable thermal equilibrium with Hawking radiation provided its mass, as a function of horizon area,â€¦ (More)

The quantum dynamics of a nonlinear kicked oscillator is studied by a recently proposed complex non-hermitian Hamiltonian technique. It is shown that the probability density and the energy functionâ€¦ (More)

In this paper, we derive a necessary and sufficient condition on the parameters of the Hypergeometric distribution for weak convergence to a Normal limit. We establish a Berry-Esseen theorem for theâ€¦ (More)

It is well known that a vector potential cannot be defined over the whole surface of a sphere around a magnetic monopole. A recent claim to the contrary is shown to have problems. It is explainedâ€¦ (More)