A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Solutions of modular bootstrap constraints from quantum codes
[article]

2020
*
arXiv
*
pre-print

This relation reduces modular invariance

arXiv:2009.01236v1
fatcat:6mic6l6225cd7j6huvywz4j6ni
*of*the 2d CFT partition function to simple algebraic relations at the level*of*a multivariate*polynomial*characterizing the corresponding code. ... Here we report a way to assign to a particular family*of*quantum error correcting codes a family*of*"code CFTs" -- a subset in the space*of*Narain CFTs. ... There are also many*polynomials*obeying the standard symmetries and constraints*of*the*enumerator**polynomial*, which are nevertheless not*enumerator**polynomials**of*any actual code. ...##
###
Page 1702 of Mathematical Reviews Vol. , Issue 88d
[page]

1988
*
Mathematical Reviews
*

Suppose that

*lattice*points p and q lie on the same side*of*this line. ... rational operations on languages to*enumeration*. ...##
###
Page 6688 of Mathematical Reviews Vol. , Issue 88m
[page]

1988
*
Mathematical Reviews
*

A method for the

*enumeration**of*clusters G on a d-dimensional hypercubic*lattice*is presented. ... Brooks (1-PA-P); Meir, Yigal (IL-TLAV-P) Recursive*enumeration**of*clusters in general dimension on hypercubic*lattices*. Phys. Rev. A (3) 36 (1987), no. 4, 1840-1848. ...##
###
On-node lattices construction using partial Gauss–Hermite quadrature for the lattice Boltzmann method

2019
*
Chinese Physics B
*

The search reveals a surprising abundance

doi:10.1088/1674-1056/28/5/054702
fatcat:a75lmju5mnem5nmgn3mlyh2qqy
*of*available*lattices*. ... A concise theoretical framework, the partial Gauss-Hermite quadrature (pGHQ), is established for constructing on-node*lattices**of*the*lattice*Boltzmann (LB) method under a Cartesian coordinate system. ... The detailed procedures*of*searching local optimal*lattices*on [−m, m] for u n ED discretization are: a) Set up q, start up with theoretically smallest number q = n + 1 b)*Enumerate*all possible q-point ...##
###
Page 6278 of Mathematical Reviews Vol. , Issue 89K
[page]

1989
*
Mathematical Reviews
*

This paper pro- vides an

*enumeration*and properties*of*subalgebras*of*AP(2, 3)*of*codimension 1. ... From the text: “It is well known that*multidimensional*quantum- mechanical models with*polynomial*potentials play an important role in many fields*of*quantum physics. ...##
###
Extensions of partial cyclic orders and consecutive coordinate polytopes

2020
*
Annales Henri Lebesgue
*

We show that the normalized volumes

doi:10.5802/ahl.33
fatcat:rfbw52ctcnd2hegyelpbqusese
*of*these polytopes*enumerate*circular extensions*of*certain partial cyclic orders. ... We introduce several classes*of*polytopes contained in [0, 1] n and cut out by inequalities involving sums*of*consecutive coordinates. ... to the*enumeration*and refined*enumeration**of*the circular extensions*of*the latter. ...##
###
Extensions of partial cyclic orders and consecutive coordinate polytopes
[article]

2019
*
arXiv
*
pre-print

We show that the normalized volumes

arXiv:1803.10351v3
fatcat:lrcic7iczfaevlqwjvxu3lg2ve
*of*these polytopes*enumerate*circular extensions*of*certain partial cyclic orders. ... We also provide a combinatorial interpretation*of*the Ehrhart h^*-*polynomials**of*some*of*these polytopes in terms*of*descents*of*total cyclic orders. ... as the case k = 2*of*the*multidimensional*boustrophedon. ...##
###
Lattice Path Enumeration
[article]

2017
*
arXiv
*
pre-print

This is a survey

arXiv:1503.05930v3
fatcat:pf67gkqngng33ipma6uca6pd34
*of*results in the*enumeration**of**lattice*paths. ...*LATTICE*PATH*ENUMERATION*.*LATTICE*PATH*ENUMERATION*.*LATTICE*PATH*ENUMERATION*.*LATTICE*PATH*ENUMERATION*.*LATTICE*PATH*ENUMERATION*.*LATTICE*PATH*ENUMERATION*. ... Similarly, the result*of*Niederhausen on the*enumeration**of*paths in the plane integer*lattice*subject to a piece-wise linear boundary, which was presented in Section 10.6, has a*multidimensional*extension ...##
###
Parallel Shortest Lattice Vector Enumeration on Graphics Cards
[chapter]

2010
*
Lecture Notes in Computer Science
*

Our implementation is almost 5 times faster in high

doi:10.1007/978-3-642-12678-9_4
fatcat:ewdokfhpmnakfk7rr5f2lchdxa
*lattice*dimensions. Exhaustive search is one*of*the main building blocks for*lattice*basis reduction in cryptanalysis. ... In this paper we present an algorithm for parallel exhaustive search for short vectors in*lattices*. This algorithm can be applied to a wide range*of*parallel computing systems. ... We thankÖzgür Dagdelen for creating some*of*the initial ideas*of*parallelizing*lattice**enumeration*and Benjamin Milde, Chen-Mou Cheng, and Bo-Yin Yang for the nice discussions and helpful ideas. ...##
###
Lattice Path Enumeration
[chapter]

2015
*
Handbook of Enumerative Combinatorics
*

Similarly, the result

doi:10.1201/b18255-13
fatcat:hbkx2ouot5hfbevwkomrtltvbi
*of*Niederhausen on the*enumeration**of*paths in the plane integer*lattice*subject to a piece-wise linear boundary, which was presented in Section 10.6, has a*multidimensional*extension ... in*lattice*path*enumeration*. ...##
###
Page 2669 of Mathematical Reviews Vol. , Issue 82f
[page]

1982
*
Mathematical Reviews
*

Gyarmathi (Debrecen)
82f:68034
82f:68035
Ozgiiler, Biilent; Hiiseyin, Ozay 82f:68036
On the inversion

*of**multidimensional**polynomial*matrices. IEEE Trans. ... P i, =0 i,=0 i,=0 This letter provides an algorithmic format which uses the main result*of*the authors’ article [op. cit.] for the inversion*of*the*multidimensional**polynomial*matrix given in that article ...##
###
Non-rational Narain CFTs from codes over F_4
[article]

2021
*
arXiv
*
pre-print

From the modular bootstrap point

arXiv:2107.02816v1
fatcat:naa2nxtwinbujip2tvpmfg7ike
*of*view we formulate a*polynomial*ansatz for the partition function which reduces modular invariance to a handful*of*algebraic easy-to-solve constraints. ... We construct a map between a class*of*codes over F_4 and a family*of*non-rational Narain CFTs. ... Classification*of**Enumerator**Polynomials*We now attempt to classify the extended*enumerator**polynomials**of*the codes*of*N-type. ...##
###
On Ehrhart polynomials and probability calculations in voting theory

2007
*
Social Choice and Welfare
*

*of*linear constraints. ... In voting theory, analyzing the frequency

*of*an event (e.g. a voting paradox), under some specific but widely used assumptions, is equivalent to computing the exact number

*of*integer solutions in a system ... De Loera et al. (2004) developed the program LattE, a computer package for

*lattice*point

*enumeration*, which contains the first implementation

*of*the technique

*of*Barvinok for

*enumerating*non-parametric ...

##
###
Random Sampling Revisited: Lattice Enumeration with Discrete Pruning
[chapter]

2017
*
Lecture Notes in Computer Science
*

In 2003, Schnorr introduced Random sampling to find very short

doi:10.1007/978-3-319-56614-6_3
fatcat:dodceqqlbvddfo7jq7m6ckpnay
*lattice*vectors, as an alternative to*enumeration*. ... In this paper, we introduce*lattice**enumeration*with discrete pruning, which generalizes random sampling and its variants, and provides a novel geometric description based on partitions*of*the n-dimensional ... = ∪ t∈U C(t) The algorithm performs exactly k partition-*enumerations*, where k = #U is the number*of*cells*of*discrete pruning, and each partition-*enumeration*runs in*polynomial*time by definition*of*the ...##
###
Polynomial indexing of integer lattice-points I. General concepts and quadratic polynomials

1978
*
Journal of Number Theory
*

a copy

doi:10.1016/0022-314x(78)90035-5
fatcat:v7cylztvizgihpvulzhfgym4xe
*of*the Fueter-P6lya paper in Zurich, George Pblya for providing a confirmation*of*our bibliographical search, together with a reprint, and Donald J. ... Lewis for considering numerous aspects*of*this work during its revision. ... Moreover Chowla 161 exhibits an m-variable generalization*of*the*polynomial*(1.1) which effects a direct*polynomial**enumeration**of*the m-dimensional positive*lattice*. ...
« Previous

*Showing results 1 — 15 out of 1,260 results*