ar X iv : m at h / 99 04 02 4 v 1 [ m at h . FA ] 6 A pr 1 99 9 A NOTE ON PRIMITIVE EQUIVALENCE

ar X iv : m at h / 98 03 04 6 v 1 [ m at h . PR ] 1 1 M ar 1 99 8 LOCAL FIELDS , GAUSSIAN MEASURES , AND BROWNIAN MOTIONS Steven

ar X iv : m at h - ph / 9 90 40 04 v 1 6 A pr 1 99 9 Heisenberg Groups in the Theory of the Lattice Peierls Electron : the Irrational Flux Case

ar X iv : m at h / 98 02 04 5 v 1 [ m at h . PR ] 9 F eb 1 99 8 STOCHASTIC BIFURCATION MODELS

We study an ordinary differential equation controlled by a stochastic process. We present results on existence and uniqueness of solutions, on associated local times (Trot-ter and Ray-Knight theorems), and on time and direction of bifurcation. A relationship with Lipschitz approximations to Brownian paths is also discussed.

ar X iv : h ep - p h / 99 04 36 1 v 1 1 6 A pr 1 99 9 Coherent Interactions with heavy ions at CMS 1

ar X iv : m at h / 96 04 21 7 v 1 [ m at h . FA ] 1 9 A pr 1 99 6 Distorting Mixed Tsirelson Spaces ∗

Any regular mixed Tsirelson space T (θ n , S n) I N for which θn θ n → 0, where θ = lim n θ 1/n n , is shown to be arbitrarily distortable. Certain asymptotic ℓ 1 constants for those and other mixed Tsirelson spaces are calculated. Also a combinatorial result on the Schreier families (S α) α<ω 1 is proved and an application is given to show that for every Banach space X with a basis (e i), the ...