Locally AdS$_{d-1}\times\mathbb{R}$ uniform black strings (UBS) in the presence of a massless scalar field are believed to avoid onset Gregory-Laflamme (GL) instability $d\ge4$ as no tachyonic modes exist spectrum Laplace-Beltrami operator. We present analytic and numerical evidence GL Lichnerowicz indicating that AdS$_{d-1}$ UBSs classically thermodynamically unstable at linear level $d>4$. In...

Let K and X be compact plane sets such that K X. Let P(K)be the uniform closure of polynomials on K. Let R(K) be the closure of rationalfunctions K with poles o K. Dene P(X;K) and R(X;K) to be the uniformalgebras of functions in C(X) whose restriction to K belongs to P(K) and R(K),respectively. Let CZ(X;K) be the Banach algebra of functions f in C(X) suchthat fjK = 0. In this paper, we show th...

In this paper, we consider a model of classical linear logic based on coherence spaces endowed with a notion of totality. If we restrict ourselves to total objects, each coherence space can be regarded as a uniform space and each linear map as a uniformly continuous function. The linear exponential comonad then assigns to each uniform space X the finest uniform space !X compatible with X . By a...

one of the most effective techniques to mitigate multipath fading and inter-cell interference at a downlink wireless channel in wcdma systems for achieving high capacity is transmitter power control. in this case, system increases the power of the subscriber when its interference increases in order to satisfy the requested signal qualities. however, when the requested signal qualities are infea...