Large deviation for BSDE with subdifferential operator

In this paper we prove that the solution of a backward stochastic differential equation, which involves a subdifferential operator and associated to a family of reflecting diffusion processes, converges to the solution of a deterministic backward equation and satisfes a large deviation principle.

Wiener type theorems for Jacobi series with nonnegative coefficients

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Existence and uniqueness of viscosity solution for Hamilton-Jacobi equation with discontinuous coefficients dependent on time

The main result is a proof of the existence of a unique viscosity solution for Hamilton-Jacobi equation, where the hamiltonian is discontinuous with respect to variable, usually interpreted as the spatial one. Obtained generalized solution is continuous, but not necessarily differentiable.

On a supremum operator

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On spectral properties of the modified convolution operator

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On separation of a degenerate differential operator in Hilbert space

A coercive estimate for a solution of a degenerate second order di fferential equation is installed, and its applications to spectral problems for the corresponding dif ferential operator is demonstrated. The suffi cient conditions for existence of the solutions of one class of the nonlinear second order diff erential equations on the real axis are obtained.

An algebraic operator approach to the analysis of Gerber-Shiu functions

We introduce an algebraic operator framework to study discounted penalty functions in renewal risk models. For inter-arrival and claim size distributions with rational Laplace transform, the usual integral equation is transformed into a boundary value problem, which is solved by symbolic techniques. The factorization of the differential operator can be lifted to the level of boundary value problems, amounting to iteratively solving first-order problems. This leads to an explicit expression for the Gerber-Shiu function in terms of the penalty function.

Operator expansion: definition and molecular integral applications

Es defineix l'expansió general d'operadors com una combinació lineal de projectors i s'exposa la seva aplicació generalitzada al càlcul d'integrals moleculars. Com a exemple numèric, es fa l'aplicació al càlcul d'integrals de repulsió electrònica entre quatre funcions de tipus s centrades en punts diferents, i es mostren tant resultats del càlcul com la definició d'escalat respecte a un valor de referència, que facilitarà el procés d'optimització de l'expansió per uns paràmetres arbitraris. Es donen resultats ajustats al valor exacte

Jacobi, Ministri Ebredunensis metropolis, dissertatio de Puella Aurelianensi.

D. de Cangé

1.° Jacobi Alexandri le Taneur disputatio physico-mathematica de aequabili motus acceleratione, et de motu telluris : in qua Galilaei decreta de motu gravium perpendiculariter cadentium confirmantur ; et ostenditur vulgarem seu Ptolemaïcam de motu solis opinionem non minùs esse contrariam sacris litteris, quam Copernicanam de motu terrae : ac proinde nihil certi ex iis, quoad illam quaestionem, posse deduci : ad Petrum Cazraeum, societatis Jesu. — 2.° Ejusdem epistolae duae ad eundem, de descensu gravium. — 3.° Petri Cazraei, societatis Jesu, ad Alexandrum le Taneur epistola, qua sententiam Galilaei de descensu gravium impugnat. — 4.° Lettre de monsieur le Taneur au Pere Mersenne, Minime, sur la chûte des corps. — 5.° Ejusdem ad eundem epistola contra Fabrianam de incremento motus accelerati opinionem.

Melchisedechi Thevenotii

Operator algebras: an informal overview

This article is an informal introduction to some classical results of the theory of operator algebras. It aims to illustrate the richness and diversity of possible applications of this topic.

Iowa Motorcycle Operator's Manual, 2002

The rules and regualtions for owning and operating a motorcycle in Iowa