We prove the conjectural relationship recently proposed in [16] between certain special cubic Hodge integrals of the Gopakumar–Mariño–Vafa type [27, 36] and GUE correlators.

By comparing strategies of genetic alterations introduced in genetic engineering with spontaneously occurring genetic variation, we have come to conclude that both processes depend on several distinct and specific molecular mechanisms. These mechanisms can be attributed, with regard to their evolutionary impact, to three different strategies of genetic variation. These are local nucleotide sequ...

We propose a remarkably simple and explicit conjectural formula for bihamiltonian structure of the double ramification hierarchy corresponding to an arbitrary homogeneous cohomological field theory. Various checks are presented support conjecture.

This paper discusses a model of duopolistic competition in the context of international trade. There are two countries, a home and a foreign country, but consumption happens only in the home country. There are two differentiated (substitute) products, one produced at home and one abroad. Three policies that influence competition in the home country are considered: tariffs, subsidies and quotas....

We exhibit a change of variables that maintains the Mahler measure given polynomial. This method leads to construction highly non-trivial polynomials with and settles some conjectural numerical formulas due Boyd Brunault.

This paper is based on the previous work of Appelbaum (Journal of Econometrics, 1979, 9, pp. 283± 94; 1982, 19, pp. 287± 99). Iwata (Econometrics 1974, 42, pp. 947± 66) and Rogers (PhD Dissertation, George Washington University, 1983). We estimate the degree of market power of an oligopolistic industry, using a linear system and the 2SLS estimation method. Our departure point is the work of App...

In this paper, we present a conjecture on the degree of unipotent characters in the cohomology of particular Deligne–Lusztig varieties for groups of Lie type, and derive consequences of it. These degrees are a crucial piece of data in the geometric version of Broué’s abelian defect group conjecture, and can be used to verify this geometric conjecture in new cases. The geometric version of Broué...

Given a pair of distinct unitary cuspidal automorphic representations for GL([Formula: see text]) over number field, let [Formula: text] denote the set finite places at which are unramified and their associated Hecke eigenvalues differ. In this paper, we demonstrate how conjectures on automorphy possible cuspidality adjoint lifts Rankin–Selberg products imply lower bounds size text]. We also ob...

We study the variety of actions of a fixed (Chevalley) group on arbitrary geodesic, Gromov hyperbolic spaces. In high rank we obtain a complete classification. In rank one, we obtain some partial results and give a conjectural picture.