ar X iv : n lin / 0 50 20 02 v 1 [ nl in . P S ] 1 F eb 2 00 5 Discrete peakons

ar X iv : n lin / 0 30 20 14 v 1 [ nl in . C D ] 6 F eb 2 00 3 Fluctuational transitions through a fractal basin boundary

Fluctuational transitions between two co-existing chaotic attractors, separated by a fractal basin boundary, are studied in a discrete dynamical system. It is shown that the mechanism for such transitions is determined by a hierarchy of homoclinic points. The most probable escape path from the chaotic attractor to the fractal boundary is found using both statistical analyses of fluctuational tr...

ar X iv : c on d - m at / 0 50 20 77 v 1 2 F eb 2 00 5 HIGHER MOMENTS OF NOISE

ar X iv : n lin / 0 10 30 02 v 1 [ nl in . S I ] 4 M ar 2 00 1 Lotka - Volterra Equation over a Finite Ring

Discrete Lotka-Volterra equation over p-adic space was constructed since p-adic space is a prototype of spaces with the non-Archimedean valuations and the space given by taking ultra-discrete limit studied in soliton theory should be regarded as a space with the non-Archimedean valuations in the previous report (solv-int/9906011). In this article, using the natural projection from p-adic intege...

ar X iv : 0 90 2 . 10 22 v 1 [ nl in . S I ] 6 F eb 2 00 9 Wakimoto realization of the elliptic algebra U q , p ( ŝl N )

We construct a free field realization of the elliptic quantum algebra Uq,p(ŝlN ) for arbitrary level k 6= 0,−N . We study Drinfeld current and the screening current associated with Uq,p(ŝlN ) for arbitrary level k. In the limit p → 0 this realization becomes q-Wakimoto realization for Uq(ŝlN ).

ar X iv : h ep - p h / 06 02 02 0 v 1 2 F eb 2 00 6 Automated Resummation and Hadron Collider Event Shapes ∗

whereHmn are numerical coefficients and we have introduced the shorthand L ≡ ln 1/v. The double logarithms are associated with non-cancellation between soft and collinear divergences in real and virtual graph, since limiting v suppresses real radiation but not the corresponding virtual terms. When v is small (ln v ∼ α s ) all terms αs L 2m become of the same magnitude (∼ 1) and reliable calcula...