Performability is a composite measure for the performance and reliability, which may be interpreted as the cumulative performance over a nite mission time. The computation of its distribution allows the user to ensure that the system will achieve a given performance level. The system is assumed to be modeled as a Markov process with nite state space and a reward rate (performance measure) is as...

| We give a new proof that all external rays of the Man-delbrot set at rational angles land, and of the relation between the external angle of such a ray and the dynamics at the landing point. Our proof is diierent from the original one, given by Douady and Hubbard and reened by Lavaurs, in several ways: it replaces analytic arguments by combinatorial ones; it does not use complex analytic depe...

Rigid body models with two controls cannot be locally asymptotically stabilized by continuous feedbacks which are functions of the state only. However, this impossibility does no longer hold when the feedback is also a function of time, and explicit smooth time-varying feedbacks which locally asymptotically stabilize the attitude of a rigid spacecraft have previously been proposed by the author...

Pour une matrice polynomiale P(x) de degr e d dans Mn;n(Kx]), o u K est un corps commutatif, une r eduction a la forme normale d'Hermite peut ^ etre calcul ee en O ~ (M(nd)) op erations arithm etiques, si M(n) est le co^ ut du produit de deux matrices n n sur K. De plus, une telle r eduction peut ^ etre obtenue en temps parall ele O(log +1 (nd)) en utilisant O(L(nd)) processeurs, si le probl em...

In this correspondence, we present a construction for binary pseudorandom sequences of period 2 1 with ideal autocorrelation property using the polynomial z+(z+1). We show that the sequence obtained from the polynomial becomes an m-sequence for certain values of d. We also find a few values of d which yield new binary sequences with ideal autocorrelation property when m is 3k 1, where k is a po...

Classic works of Karlin-McGregor and Jones-Magnus have established a general correspondence between continuous-time birth-and-death processes and continued fractions of the Stieltjes-Jacobi type together with their associated orthogonal polynomials. This fundamental correspondence is revisited here in the light of the basic relation between weighted lattice paths and continued fractions otherwi...

Cognitive psychologists have long hypothesized that experiences are encoded in a temporal context that changes gradually over time. When an episodic memory is retrieved, the state of context is recovered—a jump back in time. We recorded from single units in the MTL of epilepsy patients performing an item recognition task. The population vector changed gradually over minutes during presentation ...

Humans can remember unique past events and plan for the future and they can imagine themselves at these events when they are not currently occurring, an ability often called mental time travel and thought to be distinctly human (Suddendorf and Corballis, 2007). The behavior of many non-human species indicates that they can also remember unique past events to plan for the future, however it is n...

The projective Pad e-Rayleigh-Ritz method that we developed in 6]consists in approximating the eigenvalues of a hermitian matrix A of order n, by the roots of the polynomial of degree m of the denominator of m ? 1=m] Rx () where m ? 1=m] Rx () is the Pad e approximant of order m of R x () = ((I ? A) ?1 x; x) the mean value of the resolvant of A. The Lanczos and PRR methods are closely linked. T...

The conceptual focus of this dissertation is the ability of humans to target episodic memories, i.e., to re-access past states of the world encoded by the memory system. I describe a framework for understanding this process that relies on the interaction of three cognitive systems in the brain: semantic memory, episodic memory, and a context maintenance system that acts to probe the episodic me...