Results 31 to 40 of about 99,508 (238)
Analyzing Boltzmann Samplers for Bose-Einstein Condensates with Dirichlet Generating Functions
, 2017 Boltzmann sampling is commonly used to uniformly sample objects of a particular size from large combinatorial sets. For this technique to be effective, one needs to prove that (1) the sampling procedure is efficient and (2) objects of the desired size ...
Bernstein, Megan +2 more
core +1 more source
Existence and orthogonality of stable envelopes for bow varieties
Bulletin of the London Mathematical Society, EarlyView.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
Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics
Bulletin of the London Mathematical Society, EarlyView.Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
wiley +1 more source
A simple proof for the number of tilings of quartered Aztec diamonds [PDF]
, 2014 We get four quartered Aztec diamonds by dividing an Aztec diamond region by two zigzag cuts passing its center. W. Jockusch and J. Propp (in an unpublished work) found that the number of tilings of quartered Aztec diamonds is given by simple product ...
Lai, Tri
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Indiscernibles in monadically NIP theories
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove various results around indiscernibles in monadically NIP theories. First, we provide several characterizations of monadic NIP in terms of indiscernibles, mirroring previous characterizations in terms of the behavior of finite satisfiability. Second, we study (monadic) distality in hereditary classes and complete theories.
Samuel Braunfeld, Michael C. Laskowski
wiley +1 more source
Combinatorics: The Mathematics of Fair Thieves and Sophisticated Forgetters [PDF]
, 2023 Noga Alon
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Estimates on the decay of the Laplace–Pólya integral
Bulletin of the London Mathematical Society, EarlyView.Abstract The Laplace–Pólya integral, defined by Jn(r)=1π∫−∞∞sincntcos(rt)dt$J_n(r) = \frac{1}{\pi }\int _{-\infty }^\infty \operatorname{sinc}^n t \cos (rt) \,\mathrm{d}t$, appears in several areas of mathematics. We study this quantity by combinatorial methods; accordingly, our investigation focuses on the values at integer rs$r{\rm s}$.
Gergely Ambrus, Barnabás Gárgyán
wiley +1 more source
Geometric combinatorics and computational molecular biology: branching polytopes for RNA sequences
, 2016 Questions in computational molecular biology generate various discrete optimization problems, such as DNA sequence alignment and RNA secondary structure prediction.
Drellich, Elizabeth +5 more
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Learning Design For Combinatoric With Realistic Mathematics Education Approach [PDF]
, 2023 Dona Fitriawan +2 more
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Girth in GF(q)$\textsf {GF}(q)$‐representable matroids
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove a conjecture of Geelen, Gerards, and Whittle that for any finite field GF(q)$\textsf {GF}(q)$ and any integer t$t$, every cosimple GF(q)$\textsf {GF}(q)$‐representable matroid with sufficiently large girth contains either M(Kt)$M(K_t)$ or M(Kt)∗$M(K_t)^*$ as a minor.
James Davies +4 more
wiley +1 more source