Linear recurrences through tilings and Markov chains

被引:0
|
作者
Benjamin, AT [1 ]
Hanusa, CRH
Su, FE
机构
[1] Harvey Mudd Coll, Dept Math, Claremont, CA 91711 USA
[2] Univ Washington, Dept Math, Seattle, WA 98195 USA
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a tiling interpretation for k-th order linear recurrences, which yields new combinatorial proofs for recurrence identities. Moreover, viewing the tiling process as a Markov chain also yields closed form Binet-like expressions for these recurrences.
引用
收藏
页码:3 / 17
页数:15
相关论文
共 50 条
  • [41] Cube Tilings with Linear Constraints
    Lee, Dae Gwan
    Pfander, Goetz E.
    Walnut, David
    RESULTS IN MATHEMATICS, 2024, 79 (05)
  • [42] Approximating multivariate Markov chains for bootstrapping through contiguous partitions
    Cerqueti, Roy
    Falbo, Paolo
    Guastaroba, Gianfranco
    Pelizzari, Cristian
    OR SPECTRUM, 2015, 37 (03) : 803 - 841
  • [43] Approximating multivariate Markov chains for bootstrapping through contiguous partitions
    Roy Cerqueti
    Paolo Falbo
    Gianfranco Guastaroba
    Cristian Pelizzari
    OR Spectrum, 2015, 37 : 803 - 841
  • [44] Evaluating a negotiation-production system through Markov chains
    Calosso, T
    Cantamessa, M
    PRODUCTION PLANNING & CONTROL, 2003, 14 (06) : 578 - 584
  • [45] SATMC: Spectral energy distribution Analysis Through Markov Chains
    Johnson, S. P.
    Wilson, G. W.
    Tang, Y.
    Scott, K. S.
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2013, 436 (03) : 2535 - 2549
  • [46] Continuous opinion dynamics: Insights through interactive Markov chains
    Lorenz, J
    PROCEEDINGS OF THE FIFTH IASTED INTERNATIONAL CONFERENCE ON MODELLING, SIMULATION, AND OPTIMIZATION, 2005, : 61 - 66
  • [47] LOG-LINEAR MODELS, MARKOV-CHAINS AND CYCLIC SEDIMENTATION
    CARR, TR
    JOURNAL OF SEDIMENTARY PETROLOGY, 1982, 52 (03): : 905 - 912
  • [48] Verification of Linear Duration Properties over Continuous Time Markov Chains
    Chen, Taolue
    Diciolla, Marco
    Kwiatkowska, Marta
    Mereacre, Alexandru
    HSCC 12: PROCEEDINGS OF THE 15TH ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2012, : 265 - 274
  • [49] Minimal auxiliary Markov chains through sequential elimination of states
    Martin, Donald E. K.
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2019, 48 (04) : 1040 - 1054
  • [50] Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems
    Fadi Antown
    Davor Dragičević
    Gary Froyland
    Journal of Statistical Physics, 2018, 170 : 1051 - 1087