A bstract We compute the two-loop mixed QCD-Electroweak corrections to $$ q\overline{q} q ¯ → Hg and its crossed channels qg Hq , \overline{q}g g H\overline{q} H limiting ourselves contribution of light virtual quarks. independent hel...

When the value L of directed landscape at a point (p;q) is sufficiently large, geodesic from p to q rigid and its location fluctuates order L−1∕4 around expectation. We further show that midpoint geodesic, after appropriate scaling converge two independent Gaussians.

This paper forms part of a project aiming to determine the orbits subspaces PG(5,q) under subgroup PGL(3,q) setwise stabiliser Veronese surface in PGL(6,q), where Fq is finite field order q. Specifically, we classify solids case q even. We also two useful combinatorial invariants each type solid, namely their point-orbit and hyperplane-orbit distributions. Additionally, calculate (type of) soli...

A set of vectors is k-independent if all its subsets with no more than k elements are linearly independent. We obtain a result concerning the maximal possible cardinality Indq(n, k) of a k-independent set of vectors in the n-dimensional vector space Fn q over the finite field Fq of order q. Namely, we give a necessary and sufficient condition for Indq(n, k) = n + 1.

In the framework of fully cooperative multi-agent systems, independent (non-communicative) agents that learn by reinforcement must overcome several difficulties to manage to coordinate. This paper identifies several challenges responsible for the non-coordination of independent agents: Pareto-selection, nonstationarity, stochasticity, alter-exploration and shadowed equilibria. A selection of mu...

Using a probabilistic approach, we extend for general Q-linearly independent sequences a result of Túran concerning the sequence (log p ℓ), p ℓ being the ℓ-th prime. For instance let λ 1 , λ 2 ,. .. be linearly independent over Q. We prove that there exists a constant C 0 such that for any positive integers N and ω, if T > 4ω

2. Let Q(X,Y ) be some joint distribution. Suppose (X, Y ) = (X1, Y1), . . . , (Xn, Yn) iid ∼ Q0(X,Y ) = Q(X)Q(Y ), where Q(X) and Q(Y ) are the marginal distributions corresponding to the joint distribution Q(X,Y ). In other words, Xi and Yi are independent. We are interested in the probability that (X, Y ) appear to be depdendent or jointly distributed according to Q(X,Y ). In last lecture, w...

We study zero temperature phase transitions in two classes of random quantum systems -the q-state quantum Potts and clock models. For models with purely ferromagnetic interactions in one dimension, we show that for strong randomness there is a second order transition with critical properties that can be determined exactly by use of an RG procedure. Somewhat surprisingly, the critical behaviour ...