2,906 results for poly · 0.148s

arxiv.org/abs/1710.06906v1

On the zeros of random harmonic polynomials: the Weyl model

Li and Wei (2009) studied the density of zeros of Gaussian harmonic polynomials with independent Gaussian coefficients. They derived a formula for the expected number of zeros of random harmonic polynomials as well as asymptotics for the case that th...

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arxiv.org/abs/2102.01278v1

Kazhdan-Lusztig polynomials for $\tilde{B}_2$

Kazhdan and Lusztig define, for an arbitrary Coxeter system $(W,S)$, a family of polynomials indexed by pairs of elements of $W$. Despite their relevance and elementary definition, the explicit computation of these polynomials is still one of the har...

arxiv.org/abs/1002.4860v2

A state-sum formula for the Alexander polynomial

We develop a diagrammatic formalism for calculating the Alexander polynomial of the closure of a braid as a state-sum. Our main tools are the Markov trace formulas for the HOMFLY-PT polynomial and Young's semi-normal representations of the Iwahori-He...

arxiv.org/abs/2308.14372v2

Polyhedral combinatorics of bisectors

For any polyhedral norm, the bisector of two points is a polyhedral complex. We study combinatorial aspects of this complex. We investigate the sensitivity of the presence of labelled maximal cells in the bisector relative to the position of the two...

arxiv.org/abs/2502.05939v1

Real-rootedness of rook-Eulerian polynomials

We introduce rook-Eulerian polynomials, a generalization of the classical Eulerian polynomials arising from complete rook placements on Ferrers boards, and prove that they are real-rooted. We show that a natural context in which to interpret these ro...

arxiv.org/abs/2011.09943v1

Pretzel knots up to nine crossings

There are infinitely many pretzel links with the same Alexander polynomial (actually with trivial Alexander polynomial). By contrast, in this note we revisit the Jones polynomial of pretzel links and prove that, given a natural number S, there is onl...

en.wikipedia.org/wiki/Glass-filled_polymer

Glass-filled polymer - Wikipedia

Glass-filled polymer (or glass-filled plastic), is a mouldable composite material. It comprises short glass fibers in a matrix of a polymer material.

arxiv.org/abs/2501.18030v1

Kohnert posets and polynomials of northeast diagrams

Kohnert polynomials and their associated posets are combinatorial objects with deep geometric and representation theoretic connections, generalizing both Schubert polynomials and type A Demazure characters. In this paper, we explore the properties of...

github.com/Polymarket/agents

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arxiv.org/abs/q-alg/9605004v1

Affine Hecke algebras and raising operators for Macdonald polynomials

We introduce certain raising and lowering operators for Macdonald polynomials (of type $A_{n-1}$) by means of Dunkl operators. The raising operators we discuss are a natural $q$-analogue of raising operators for Jack polynomials introduced by L.Lap...

arxiv.org/abs/2407.01529v1

On the Abuse and Detection of Polyglot Files

A polyglot is a file that is valid in two or more formats. Polyglot files pose a problem for malware detection systems that route files to format-specific detectors/signatures, as well as file upload and sanitization tools. In this work we found that...

arxiv.org/abs/1708.04739v4

The Slack Realization Space of a Polytope

In this paper we introduce a natural model for the realization space of a polytope up to projective equivalence which we call the slack realization space of the polytope. The model arises from the positive part of an algebraic variety determined by t...

arxiv.org/abs/1306.5870v1

Cis-Trans Dynamical Asymmetry in Driven Polymer Translocation

During polymer translocation driven by e.g. voltage drop across a nanopore, the segments in the cis-side is incessantly pulled into the pore, which are then pushed out of it into the trans-side. This pulling and pushing polymer segments are described...

github.com/tanaerao/polymarket-midterms

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