Abstract We formulate D p -brane Newton–Cartan (NC) background through the limiting procedure from relativistic Dirac–Born–Infeld action and Wess–Zumino term. also determine for unstable D( + 1)-brane in NC study its properties.

We introduce three different formats for normal programs with constraints. These forms help to simplify the search of p-stable models of the original program. In this way we further the study of the p-stable semantics. In this paper we indicate that the p-stable semantics for one of the normal forms proposed agrees with the Comp semantics.

We consider Feller semigroups with jump intensity dominated by that of the rotation invariant stable Lévy process. Using an approximation scheme we obtain estimates of corresponding heat kernels.

We calculate the homology H∗(Γg,n;Fp) of the mapping class group Γg,n in the stable range. The calculation is based on Madsen and Weiss’ proof of the “Generalised Mumford Conjecture”: Γg,n has the same homology as a component of the space Ω∞CP∞ −1 in the stable range.

Let p be an odd prime, K a finite extension of Qp, GK = Gal(K̄/K) its absolute Galois group and e = e(K/Qp) its absolute ramification index. Suppose that T is a p-torsion representation of GK that is isomorphic to a quotient of GK -stable Zp-lattices in a semi-stable representation with HodgeTate weights {0, . . . , r}. We prove that there exists a constant μ depending only on n, e and r such th...

Let p. be a symmetric p-stable measure, 0 < p < 1, on a locally convex separable linear metric space E and let q be a lower semicontinuous seminorm on E. It is known that F(t) = u{x : q(x) < t) is absolutely continuous with respect to the Lebesgue measure. We prove an explicit formula for the density F'(t) and give an asymptotic estimate of it at infinity. 1. Let X be a symmetric Gaussian rando...

We study the simplification of normal logic programs under the P-Stable semantics, with respect to the notions of equivalence, using many of the transformation rules found in literature in the context of Answer Set Programming (ASP). A schema for the implementation of P-Stable semantics is provided using two well known open source tools: Lparse and Minisat. Also, a prototype written in Java of ...

Covalent functionalization of transition metal dichalcogenides (TMDCs) is investigated for air-stable chemical doping. Specifically, p-doping of WSe(2) via NOx chemisorption at 150 °C is explored, with the hole concentration tuned by reaction time. Synchrotron based soft X-ray absorption spectroscopy (XAS) and X-ray photoelectron spectroscopy (XPS) depict the formation of various WSe(2-x-y)O(x)...

We show that if H is a group of polynomial growth whose growth rate is at least quadratic then the Lp compression of the wreath product Z oH equals max { 1 p , 1 2 } . We also show that the Lp compression of Z oZ equals max { p 2p−1 , 2 3 } and the Lp compression of (Z oZ)0 (the zero section of Z oZ, equipped with the metric induced from Z o Z) equals max { p+1 2p , 3 4 } . The fact that the Hi...

Let {Zt, t ≥ 0} be a strictly stable process on R with index α ∈ (0, 2]. We prove that for every p > α, there exists γ = γ(α, p) and K = K(α, p) ∈ (0,+∞) such that lim ε↓0 ε logP [||Z||p ≤ ε] = −K, where ||Z||p stands for the strong p-variation of Z on [0, 1]. The critical exponent γ(α, p) takes a different shape according as |Z| is a subordinator and p > 1, or not. The small ball constant K(α,...