Results 41 to 50 of about 39,291 (187)
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Recursive Relations for the S‐matrix of Liouville Theory
Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze +2 more
wiley +1 more source
Abstract Stein operators allow one to characterize probability distributions via differential operators. Based on these characterizations, we develop a new method of point estimation for marginal parameters of strictly stationary and ergodic processes, which we call Stein's Method of Moments (SMOM). These SMOM estimators satisfy the desirable classical
Bruno Ebner +4 more
wiley +1 more source
On Limits of Sequences of Holomorphic Functions [PDF]
We study functions which are the pointwise limit of a sequence of holomorphic functions. In one complex variable this is a classical topic, though we offer some new points of view and new results.
Krantz, Steven G.
core +1 more source
A function algebra providing new Mergelyan type theorems in several complex variables
For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of ...
Falcó, Javier +3 more
core +1 more source
Existence and orthogonality of stable envelopes for bow varieties
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley +1 more source
Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
Character sum, reciprocity, and Voronoi formula
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley +1 more source
On the Relationship between D'Angelo q-type and Catlin q-type
We establish inequalities relating two measurements of the order of contact of q-dimensional complex varieties with a real hypersurface.Comment: 18 pages; accepted at the Journal of Geometric Analysis; see arXiv:1102.0356 for the origin of this ...
Brinzanescu, Vasile, Nicoara, Andreea C.
core +1 more source
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source

