Richard W. Aldrich Seth L. Alper Bruce P. Bean Ted Begenisich Philip M. Best Francisco Bezanilla Steven Block Michael D. Cahalan Stephen C. Cannon Michael Caplan William A. Catterall W. Knox Chandler Tsung-Yu Chen David E. Clapham Torben Clausen Fredric S. Cohen Ira S. Cohen David Colquhoun John A. Dani David C. Dawson Paul De Weer Carol J. Deutsch Kathleen Dunlap Joseph J. Falke Robert A. Farl...

The expression ‘elementary phenomena’, as it is used in contemporary Frech psychopathology and psychoanalysis, phénomènes élémentaires, has been coined by J. Lacan in his doctoral dissertation (1932) to designate minimal delusional phenomena, which, at least for a certain time, the patient can conceal or ignore, until they develop (if they ever do) into a full-blown delusional or hallucinatory ...

We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results of [4]. As an application of our main result we complete and simplify the analysis in [6], showing that in a 4-dimensional subRiemannian structure suggested by Agrachev and Gauthier all length-minimizing curves are smooth.