The dorsal column lesion model of spinal cord injury targets sensory fibres which originate from the dorsal root ganglia and ascend in the dorsal funiculus. It has the advantages that fibres can be specifically traced from the sciatic nerve, verifiably complete lesions can be performed of the labelled fibres, and it can be used to study sprouting in the central nervous system from the condition...

Feistel ciphers are very common and very important in the design and analysis of blockciphers, especially due to four reasons: (1) Many (DES-like) ciphers are based on Feistel's construction. (2) Luby and Rackoo proved the security of a four-round Feistel construction when the round functions are random. (3) Recently several provably secure ciphers were suggested, which use other (assumed secur...

We exactly solve a Fokker-Planck equation by determining its eigenvalues and eigenfunctions: we construct nonlinear second-order differential operators which act as raising and lowering operators, generating ladder spectra for the odd- and even-parity states. The ladders are staggered: the odd-even separation differs from even-odd. The Fokker-Planck equation corresponds, in the limit of weak da...

Ladder operators can be constructed for all potentials that present the integrability condition known as shape invariance, satisfied by most of the exactly solvable potentials. Using the superalgebra of supersymmetric quantum mechanics we construct the ladder operators for two exactly solvable potentials that present a subtle hidden shape invariance. PACS No. 03.65.Fd, 11.30.Pb, 31.15.Pf

Ladder operators can be constructed for all potentials that present the integrability condition known as shape invariance, satisfied by most of the exactly solvable potentials. Using the superalgebra of supersymmetric quantum mechanics we construct the ladder operators for two exactly solvable potentials that present a subtle hidden shape invariance. PACS No. 03.65.Fd, 11.30.Pb, 31.15.Pf

The full causal ladder of spacetimes is constructed, and their updated main properties are developed. Old concepts and alternative definitions of each level of the ladder are revisited, with emphasis in minimum hypotheses. The implications of the recently solved " folk questions on smoothability " , and alternative proposals (as recent isocausality), are also summarized.

The undeformed limit of the dilute two-color braid-monoid algebra gives a natural basis for the description of spin-1/2 ladder models, and allows different Baxterization Ansätze. Based on this observation we find the complete classification of exactly soluble generalized isotropic spin-1/2 ladder models.

We consider the small eld asymptotics of the ladder lifetime for a single ladder model. Using the convergent perturbation series, we prove that the behavior of the lifetime computed by means of the Fermi Golden Rule is proportional to the correct one with the factor ? 3 2. The relation with usual adiabatic problems is brieey discussed.