Scattering Rule in Soliton Cellular Automaton associated with Crystal Base of Uq(D4(3))U_q(D_4^{(3)})

In terms of the crystal base of a quantum affine algebra $U_q(\mathfrak{g})$, we study a soliton cellular automaton (SCA) associated with the exceptional affine Lie algebra $\mathfrak{g}=D_4^{(3)}$. The solitons therein are labeled by the crystals of quantum affine algebra $U_q(A_1^{(1)})$. The scatteing rule is identified with the combinatorial $R$ matrix for $U_q(A_1^{(1)})$-crystals. Remarkably, the phase shifts in our SCA are given by {\em 3-times} of those in the well-known box-ball system.Comment: 25 page

Crystal energy functions via the charge in types A and C

The Ram-Yip formula for Macdonald polynomials (at t=0) provides a statistic which we call charge. In types A and C it can be defined on tensor products of Kashiwara-Nakashima single column crystals. In this paper we prove that the charge is equal to the (negative of the) energy function on affine crystals. The algorithm for computing charge is much simpler and can be more efficiently computed than the recursive definition of energy in terms of the combinatorial R-matrix.Comment: 25 pages; 1 figur

tt-Martin boundary of killed random walks in the quadrant

We compute the $t$-Martin boundary of two-dimensional small steps random walks killed at the boundary of the quarter plane. We further provide explicit expressions for the (generating functions of the) discrete $t$-harmonic functions. Our approach is uniform in $t$, and shows that there are three regimes for the Martin boundary.Comment: 18 pages, 2 figures, to appear in S\'eminaire de Probabilit\'e

Affine crystal structure on rigged configurations of type D_n^(1)

Extending the work arXiv:math/0508107, we introduce the affine crystal action on rigged configurations which is isomorphic to the Kirillov-Reshetikhin crystal B^{r,s} of type D_n^(1) for any r,s. We also introduce a representation of B^{r,s} (r not equal to n-1,n) in terms of tableaux of rectangular shape r x s, which we coin Kirillov-Reshetikhin tableaux (using a non-trivial analogue of the type A column splitting procedure) to construct a bijection between elements of a tensor product of Kirillov-Reshetikhin crystals and rigged configurations.Comment: 26 pages, 3 figures. (v3) corrections in the proof reading. (v2) 26 pages; examples added; introduction revised; final version. (v1) 24 page

Final Products of One-Electron Oxidation of Cyclic Dipeptides Containing Methionine Investigated by IRMPD Spectroscopy:Does the Free Radical Choose the Final Compound?

International audienceReactive oxygen species (ROS) such as hydrogen peroxide (H2O2) and the hydroxyl radical (• OH) have specific functions in biological processes, while their uncontrolled production and reactivity are known to be determining factors in pathophysiology. Methionine (Met) residues act as endogenous antioxidants, when they are oxidized into methionine sulfoxide (MetSO), thus depleting ROS and protecting the protein

III-V multi-junction solar cell using metal wrap through contacts

The Solar cell front side is a key design point for improved cell efficiency as a trade is made between optical losses (shadowing effect) and electrical losses (resistance). One solution consists in frontside contacts report to the cell's backside using through device conductive vias. By this way metal shadowing could be drastically reduced without increasing resistive losses. Such architecture is called Metal Wrap Through (MWT) and has been developed on silicon solar cells. Its application to III-V Multi-Junctions Solar Cells (MJSC) could be of great interest and has been simulated and studied for several years. We present here first functional MWT III-V dual-junction solar cells. Prototype developments have been based on inverted tandem solar cell (GaInP/GaAs) epitaxial structures grown on GaAs substrates. Front side contacts have been reported on the device's backside using specifically adapted Trough Semiconductor Via (TSV) technologies. Finally, the III-V active fi lm was transferred on a conductive receiver by copper to copper (Cu//Cu) direct metal bonding. Morphological and chemical characterizations showed metallized and isolated contacts going through the tandem solar cell's structure. Electrical characterizations displayed many functional cells across 100mm wafers reaching efficiencies up to 26.3% @1 sun AM1.5d spectrum with a fill factor (FF) of 87.1%. Under concentration the efficiency raised up to 28.3% @167 suns. Beside these demonstrators, developed processes open ways to various possibilities such as large area III-V MJSC receivers