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Integer sequences with proscribed differences and bounded growth rate

1985
*
Discrete Mathematics
*

Similarly, we conclude that if we get to rksb

doi:10.1016/s0012-365x(85)80002-9
fatcat:a3rhhy7gtfb7hnjclafiq62fby
*with*r > 0*and*s > 0 by a*sequence*of*integers*all in [0, n]*and**with*each obtained from the last by either adding k or subtracting b, then Urk-sba2(rk -sb ... . _ . means the*sequence*uses the first CL*integers*(starting at 0), misses the next b*integers*, uses the next c*integers*, etc. ...##
###
Page 4987 of Mathematical Reviews Vol. , Issue 86k
[page]

1986
*
Mathematical Reviews
*

D. 86k:11016 (5-ANU-C)

*Integer**sequences**with**proscribed**differences**and**bounded**growth**rate*. Discrete Math. 55 (1985), no. 3, 255-265. ... Let n,b*and*c be positive*integers**with*b < c*and*let A = {a;}"_, be a*sequence*of*integers*such that (1) 0 = ap < a; <--- <a,*and*(2) ai46 < a; +c for all ¢*with*O0<2<n-—b. ...##
###
Pattern-avoiding ascent sequences of length 3
[article]

2021
*
arXiv
*
pre-print

For 120-avoiding ascent

arXiv:2111.01279v1
fatcat:7oghtjzbszbg5n3puza3casubu
*sequences*we find that the generating function has stretched-exponential behaviour*and*prove that the*growth*constant is the same as that for 201-avoiding ascent*sequences*, which ... For 000-avoiding ascent*sequences*we give what we believe to be the exact*growth*constant. We give the conjectured asymptotic behaviour for all four cases. ... Acknowledgements AJG would like to thank the ARC Centre of Excellence for Mathematical*and*Statistical Frontiers (ACEMS) for support. ...##
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The large time stability of sound waves

1996
*
Communications in Mathematical Physics
*

In the limit d ~ cx~, we recover Glimm's theorem,

doi:10.1007/bf02102596
fatcat:ohg3rx7spzanzctfb55f4pof4a
*and*we observe that there exist linearly degenerate systems within the class considered for which the*growth**rate*we obtain is sharp. ... Our analysis establishes a*growth**rate*for the total variation that depends on a new length scale d that we identify in the problem. ...*and*the corresponding*growth**rate*is exp(82AKt). ...##
###
Growth Profile and Invariant Measures for the Weakly Supercritical Contact Process on a Homogeneous Tree

1999
*
The Annals of Probability
*

These include (a) the

doi:10.1214/aop/1022677259
fatcat:nkwz4lnzfrgspaglrlx3twuq54
*growth*profile, which determines the exponential*rate*of*growth*in spacetime on the event of survival; (b) the exponential*rate*β of decay of the hitting probability function at infinity ... The proof is based on a study of the relationships between various thermodynamic parameters*and*functions associated*with*the contact process initiated by a single infected site. ... This new contact process A * t ,*with*infection*rate*λp*and*recovery*rate*1 + λq, is a time-changed version of a contact process*with*infection*rate*λ **and*recovery*rate*1. ...##
###
Memory Requirements for Query Execution in Highly Constrained Devices
[chapter]

2003
*
Proceedings 2003 VLDB Conference
*

Personal folders on chip, networks of sensors

doi:10.1016/b978-012722442-8/50067-7
dblp:conf/vldb/AnciauxBP03
fatcat:gsl5aj5goffy5j366sk44wdu5u
*and*data hosted by autonomous mobile computers are*different*illustrations of the need for evaluating queries confined in hardware constrained computing devices ... Third, it analyses how the preceding techniques can benefit from an incremental*growth*of RAM. ... Devising a RAM lower*bound*query execution model This study*proscribes*swapping*and*indexing for the reasons stated earlier. ...##
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Perceptions of forestry alternatives in the US Pacific Northwest: Information effects and acceptability distribution analysis

2006
*
Journal of Environmental Psychology
*

Respondents

doi:10.1016/j.jenvp.2006.05.004
fatcat:mbfchk2edzcd5p7e27f7y7stsi
*rated*treatments for scenic beauty, service to human needs, service to wildlife needs,*and*overall acceptability. ... These showed broad, passionate opposition to clearcutting, conflict over the acceptability of not managing forests, conflict over old*growth*harvests, conflict*with*some passionate opposition to 15% retention ... Average*ratings*that fell half-way between*integer*values were rounded in the direction of the*rating*(s) from the judges*with*the most expertise about the corresponding resource. ...##
###
On the structure of random graphs with constant r-balls
[article]

2020
*
arXiv
*
pre-print

n^5/6

arXiv:1802.02002v7
fatcat:ifgw5hs6undx7bo5iqzj4464nm
*with*high probability,*and*has at least (n^δ) automorphisms*with*high probability, where δ>0 depends upon F alone. ... We prove that if F is a Cayley graph of a torsion-free group of polynomial*growth*,*and*r is sufficiently large depending on F, then the random graph G_n = G_n(F,r) has largest component of order at most ... Acknowledgements We would like to thank Agelos Georgakopoulos, Alex Lubotzky, Mikael De La Salle, Omri Sarig*and*Romain Tessera for very helpful discussions. ...##
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Programmed interactions in higher-order neural networks: The outer-product algorithm

1991
*
Journal of Complexity
*

of rid/log n. ' Higher-order neural

doi:10.1016/0885-064x(91)90030-2
fatcat:t2irbp7i3bemxizradhzriid5u
*with*random interactions lead to rather*different*computational issues. ... We deaf*with*these in a concurrent paper (Venkatesh*and*Baldi, 1989a ). MEMORY IN HIGHER-ORDER NEURAL NETWORKS 445 ... This work was supported in part by NSF Grants EET-8709198*and*DMS-8800322, by ONR Contract 41POO6-01,*and*by Air Force Grant, AFOSR-89-0523. ...##
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Diverse market models of competing Brownian particles with splits and mergers

2016
*
The Annals of Applied Probability
*

We study models of regulatory breakup, in the spirit of Strong

doi:10.1214/15-aap1118
fatcat:y6epro26q5ezpkvw6c6qw7fglm
*and*Fouque [Ann. Finance 7 (2011) 349-374] but*with*a fluctuating number of companies. ... An important class of market models is based on systems of competing Brownian particles: each company has a capitalization whose logarithm behaves as a Brownian motion*with*drift*and*diffusion coefficients ... Robert Fernholz, Jean-Pierre Fouque, Soumik Pal, Vasileios Papathanakos, Walter Schachermayer, Johannes Ruf*and*Philip Whitman for very helpful discussions,*and*Johannes uf for his detailed comments. ...##
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Diversity and relative arbitrage in equity markets

2005
*
Finance and Stochastics
*

The existence of this type of relative arbitrage does not interfere

doi:10.1007/s00780-004-0129-4
fatcat:w4uingdi6zca3b55wx6tfcvvhm
*with*the development of contingent claim valuation,*and*has consequences for the pricing of long-term warrants*and*for put-call parity ... In the context of the standard Itô-process model initiated by Samuelson (1965) we formulate this property (*and*the allied, successively weaker notions of "weak diversity"*and*"asymptotic weak diversity ... high*rates*of*growth*. ...##
###
Growth and homogeneity of matchbox manifolds
[article]

2016
*
arXiv
*
pre-print

In this work, we consider the problem, what can be said about a matchbox manifold

arXiv:1602.00784v2
fatcat:7jtcma2suzaw7kzdq2fqymy5zi
*with*equicontinuous holonomy dynamics,*and*all of whose leaves have at most polynomial*growth*type? ... A matchbox manifold*with*one-dimensional leaves which has equicontinuous holonomy dynamics must be a homogeneous space,*and*so must be homeomorphic to a classical Vietoris solenoid. ... There exist non-homogeneous weak solenoids*with*leaves of dimension 3, where every leaf is covered by the Heisenberg space H,*and*thus has polynomial*growth**rate*exactly 4. ...##
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Diversity and relative arbitrage in equity markets
[article]

2008
*
arXiv
*
pre-print

The existence of such relative arbitrage does not interfere

arXiv:0803.3093v1
fatcat:fhtvdcvrv5bxloblund4awwzo4
*with*the development of option pricing,*and*has interesting consequences for the pricing of long-term warrants*and*for put-call parity. ... In the context of the standard Ito-process model initiated by Samuelson (1965) we formulate this property (*and*the allied, successively weaker notions of "weak diversity"*and*"asymptotic weak diversity ... by Professors Julien Hugonnier, Leonid Kogan, Ralf Korn, Mark Lowenstein, Andrew Lyasoff, Evangelos Mageirou, Steven Shreve, Wolfgang Stummer, Dimitri Vayanos*and*Jiang Wang. ...##
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Parallel Beta Reduction Is Not Elementary Recursive

2001
*
Information and Computation
*

In particular, we identify the computational paradigms of superposition of values

doi:10.1006/inco.2001.2869
fatcat:ha4xzhxoq5ae3fjuj4zgshlblq
*and*of higher-order sharing, appealing to compelling analogies*with*quantum mechanics*and*SIMD-parallelism. C ... Not only do we establish that the parallel β-step cannot be a unit-cost operation, we demonstrate that the time complexity of implementing a*sequence*of n parallel β-steps is not*bounded*as O(2 n ), O( ... ACKNOWLEDGMENTS For many relevant*and*fruitful discussions, suggestions, corrections, admonishments,*and*encouragements, we thank Arvind, Stefano Guerrini, Paris Kanellakis, Jakov Kucan, Julia Lawall, ...##
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Matrices of positive polynomials

2009
*
The Electronic Journal of Linear Algebra
*

easily described, the asymptotic behaviour of powers of the matrix is tractible,

doi:10.13001/1081-3810.1348
fatcat:22ymkcudcjbojki7mptgg47fve
*and*the order-theoretic aspects of the dimension module are less difficult to deal*with*than in general. ... Associated to a square matrix all of whose entries are real Laurent polynomials in several variables*with*no negative coefficients is an ordered "dimension" module introduced by Tuncel,*with*additional ... Evaluating at r in (R d ) ++ , the*boundedness*below hypothesis yields that the entries of R ′ are*bounded*above,*and*thus*bounded*. So, R ′ belongs to M n R P . ...
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