Markov modulation of a two-sided reflected Brownian motion with application to fluid queues

In this paper, we study a reflected Markov-modulated Brownian motion with a two sided reflection in which the drift, diffusion coefficient and the two boundaries are (jointly) modulated by a finite state space irreducible continuous time Markov chain. The goal is to compute the stationary distribution of this Markov process, which in addition to the complication of having a stochastic boundary can also include jumps at state change epochs of the underlying Markov chain because of the boundary changes. We give the general theory and then specialize to the case where the underlying Markov chain has two states.     

Highly efficient rhenium-catalyzed deoxygenation of sulfoxides without adding any reducing agent

This work reports a novel method for the deoxygenation of aromatic and aliphatic sulfoxides catalyzed by oxo-rhenium complexes without adding any reducing agent. The oxo-rhenium complex ReOCl₃(PPh₃)₂ proved to be very efficient for the deoxygenation of several sulfoxides with tolerance of different functional groups.     

Successive radii and Minkowski addition

In this paper we study the behavior of the so called successive inner and outer radii with respect to the Minkowski addition of convex bodies, generalizing the well-known cases of the diameter, minimal width, circumradius and inradius. We get all possible upper and lower bounds for the radii of the sum of two convex bodies in terms of the sum of the corresponding radii.     

Lithium storage mechanisms and effect of partial cobalt substitution in manganese carbonate electrodes

A promising group of inorganic salts recently emerged for the negative electrode of advanced lithium-ion batteries. Manganese carbonate combines low weight and significant lithium storage properties. Electron paramagnetic resonance (EPR) and magnetic measurements are used to study the environment of manganese ions during cycling in lithium test cells. To observe reversible lithium storage into manganese carbonate, preparation by a reverse micelles method is used. The resulting nanostructuration favors a capacitive lithium storage mechanism in manganese carbonate with good rate performance. Partial substitution of cobalt by manganese improves cycling efficiency at high rates.     

The Dynamics of Organizational Learning

This paper presents a dynamical theory of organizational learning that explicitly accounts for both the introduction of new routines into the manufacturing process and improvements in the selection of which procedures to follow. Besides producing a power law of organizational learning with a rate that depends on the effectiveness of the decision procedure, the theory also accounts for observed anomalies characterized by price increases with cumulative output.     

Synthesis of methyl‐2,4‐bis(cyclohexane)dispiro‐1,2,3,4,4a,5,6,7‐octahydro‐(lH,3H)quinazoline‐8‐carbodithioate derived from cyclohexanone in one step

The new compound Methyl‐2,4‐bis(cyclohexane)dispiro‐1,2,3,4,4a,5,6,7‐octahydro‐(1H,3H)‐quinazo‐line‐8‐carbodithioate has been synthesized from cyclohexanone and carbon disulfide. It has been characterized by uv‐visible, FTTR , mass spectra and a complete structure proposed based on ¹H and ¹³C NMR spectroscopy.     

Methane Conversion Over Sr2+/La2O3 Catalyst Modified with Nickel and Copper

Methane transformation over Ni and Cu modified Sr²⁺/La₂O₃ catalysts has been studied. These species favor formation of reducible mixed oxides and change the surface reactivity of the Sr²⁺/La₂O₃ system, modifying the reaction mechanism, since Sr²⁺/La₂O₃ favors methane oxidative coupling but with copper methane combustion is favored and nickel favors partial oxidation.     

A 1:1:1 chloro­form/tetra­hydro­furan solvate of p-tert-butyl­tetra­homo­dioxa­calix­[4]­arene

The title compound, 7,13,21,27-tetra-tert-butyl-3,17-di­oxa­penta­cyclo­[23.3.1.1^5,9.1^11,15.1^9,23]ditriaconta-1(29),­5,­7,­9(30),11(31),­12,­14,­19(32),­20,­22,­25,­27-do­deca­ene-29,­30,­31,­32-tetraol, crystallizes as a solvate with one mol­ecule of chloro­form and one mol­ecule of tetra­hydro­furan, C₄₆H₆₀O₆·CHCl₃·C₄H₈O. The calixarene assumes a cone-like conformation stabilized by intramolecular hydrogen bonds involving both phenolic and ether O atoms. The two solvent mol­ecules are located in each of the two half-cone cavities of the calixarene.     

Reaction–Diffusion models: From particle systems to SDE’s

Let $V$ be any finite set and $p(?,?)$ a transition kernel on it. We present a construction of a family of Reaction–Diffusion models that converge after scaling to the solution to the $\left|V\right|$-dimensional SDE: $d{\zeta }_t=\left[{\Delta }_p{\zeta }_t?\beta ?{\zeta }_t^k\right]dt+\sqrt{\alpha ?{\zeta }_t^{?}}d{B}_t$with arbitrary initial condition ${\zeta }_0\in {\mathbb{R}}^V$. Here, ${\Delta }_p$ is the diffusion on $V$ corresponding to $p$, $\alpha$, $\beta$ are positive real numbers and $k$, $?$ are positive integers.