This paper provides a large deviation principle for Non-Markovian, Brownian motion driven stochastic di↵erential equations with random coe cients. Similar to Gao & Liu [19], this extends the corresponding results collected in Freidlin & Wentzell [18]. However, we use a di↵erent line of argument, adapting the PDE method of Fleming [14] and Evans & Ishii [10] to the pathdependent case, by using b...

We present four circuits implemented in subthreshold CMOS which greatly increase the linear range over the basic di erential pair. These circuits are appropriate for low voltage applications since there is no stacking of saturated transistors. The rst circuit topology employs multiple asymmetric di erential pairs. The second is a symmetric \bump" transconductor. The remaining two use source deg...

| We consider di erential equations A(x) _ x = g(x), where A is an n n-matrix of C 1 functions and g is C 1 . We investigate the above di erential equation about singular points x 0 that are standard in the sense of Rabier. In particular, the null space of A(x 0 ) is of dimension 1. We show that there is a C 1 -di eomorphism that transforms the above equation about x 0 into x 1 _ x 1 = 1, _ x 2...

We describe an object oriented MATLAB toolbox for solving di erential equations on manifolds. The software re ects recent development within the area of geometric integration. Through the use of elements from di erential geometry, in particular Lie groups and homogeneous spaces, coordinate free formulations of numerical integrators are developed. The strict mathematical de nitions and results a...

We study nonlinear income taxation in a Roy model in which agents’ productivity is sectorspecific. We show that when income taxes can be sector-specific, the Diamond-Mirrlees theorem (according to which the second-best displays production e ciency) fails: social welfare (be it Rawlsian or Weighed Utilitarian) can be increased by assigning some agents to their least productive sector. By sacrifi...

It is well known that given four point correspondences under perspectivity, we uniquely can determine a projectively invariant reference frame for planar scenes. We extend this result to all semi-diierential data correspondences having enough degrees of freedom to perform resection. For example, three points together with rst and second curve derivatives in one of them suuce for unique frame de...

Traveling waves u(x st) for systems of conservation laws ut + Df(u)ux = (B(u)ux)x were studied by Majda and Pego (J. Di erential Eqs. 56 (1985), 229{262) under the assumption that u( 1) and u(+1) are close. Their results were recently extended to general convection-di usion systems ut +A(u)ux = (B(u)ux)x by Sainsaulieu (SIAM J. Math. Anal. 27 (1996), 1286{1310). Sainsaulieu's proofs use xed-poi...

We present an AXIOM environment called JET for geometric computations with partial dierential equations within the framework of the jet bundle formalism. This comprises especially the completion of a given dierential equation to an involutive one according to the Cartan-Kuranishi Theorem and the setting up of the determining system for the generators of classical and non-classical Lie symmetrie...

14.