Results 61 to 70 of about 5,400,161 (122)
An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley +1 more source
Twisted moments of characteristic polynomials of random matrices in the unitary group
Abstract Recently, Conrey and Keating devised a heuristic for predicting asymptotic formulas for moments of the Riemann zeta‐function ζ(s)$\zeta (s)$. Their approach indicates how lower twisted moments of ζ(s)$\zeta (s)$ may be used to evaluate higher moments. In this paper, we present a rigorous random matrix theory analogue of their heuristic.
Siegfred Baluyot, Brian Conrey
wiley +1 more source
Manin's conjecture for integral points on toric varieties
Abstract We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant that is similar to Peyre's interpretation of the leading constant in Manin's conjecture ...
Tim Santens
wiley +1 more source
Meromorphic function sharing a small function with a homogeneous differential polynomial
In this paper, we consider a Brück-type result for a homogeneous differential polynomial generated by a meromorphic function.
Indrajit Lahiri, Bipul Pal
core +1 more source
An Algebraic Study of Parametric Stokes Phenomena
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley +1 more source
Roots of polynomial sequences in root‐sparse regions
Abstract Given a family (qk)k$(q_k)_k$ of polynomials, we call an open set U$U$root‐sparse if the number of zeros of qk$q_k$ is locally uniformly bounded on U$U$. We study the interplay between the individual zeros of the polynomials qk$q_k$ and those of the m$m$th derivatives qk(m)$q_k^{(m)}$ in a root‐sparse open set U$U$, as k→∞$k\rightarrow \infty$.
Christian Henriksen +2 more
wiley +1 more source
On exotic matrix exponential sums and Bessel–Speh functions
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley +1 more source
On meromorphic functions commuting with elements of a function group
The problem of whether there always exist meromorphic functions commuting with all substitutions of a function group is solved in the affirmative.
John Roderick Smart
core +1 more source
In this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative.
Daniel Breaz +2 more
doaj +1 more source
Isotopies of complete minimal surfaces of finite total curvature
Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón +2 more
wiley +1 more source

