Academic literature on the topic 'Log-concavity'
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Journal articles on the topic "Log-concavity"
Saumard, Adrien, and Jon A. Wellner. "Log-concavity and strong log-concavity: A review." Statistics Surveys 8 (2014): 45–114. http://dx.doi.org/10.1214/14-ss107.
Full textLlamas, Aurora, and José Martínez-Bernal. "Nested Log-Concavity." Communications in Algebra 38, no. 5 (April 26, 2010): 1968–81. http://dx.doi.org/10.1080/00927870902950662.
Full textFinner, H., and M. Roters. "Distribution functions and log-concavity." Communications in Statistics - Theory and Methods 22, no. 8 (January 1993): 2381–96. http://dx.doi.org/10.1080/03610929308831156.
Full textWang, Yi. "Linear transformations preserving log-concavity." Linear Algebra and its Applications 359, no. 1-3 (January 2003): 161–67. http://dx.doi.org/10.1016/s0024-3795(02)00438-x.
Full textLin, Yi, and Álvaro Pelayo. "Log-concavity and symplectic flows." Mathematical Research Letters 22, no. 2 (2015): 501–27. http://dx.doi.org/10.4310/mrl.2015.v22.n2.a9.
Full textWang, Yi, and Yeong-Nan Yeh. "Log-concavity and LC-positivity." Journal of Combinatorial Theory, Series A 114, no. 2 (February 2007): 195–210. http://dx.doi.org/10.1016/j.jcta.2006.02.001.
Full textKahn, J., and M. Neiman. "Negative correlation and log-concavity." Random Structures & Algorithms 37, no. 3 (November 30, 2009): 367–88. http://dx.doi.org/10.1002/rsa.20292.
Full textShaked, Moshe, and J. George Shanthikumar. "Characterization of Some First Passage Times Using Log-Concavity and Log-Convexity as Aging Notions." Probability in the Engineering and Informational Sciences 1, no. 3 (July 1987): 279–91. http://dx.doi.org/10.1017/s026996480000005x.
Full textJohnson, Oliver, Ioannis Kontoyiannis, and Mokshay Madiman. "Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures." Discrete Applied Mathematics 161, no. 9 (June 2013): 1232–50. http://dx.doi.org/10.1016/j.dam.2011.08.025.
Full textKarp, D., and S. M. Sitnik. "Log-convexity and log-concavity of hypergeometric-like functions." Journal of Mathematical Analysis and Applications 364, no. 2 (April 2010): 384–94. http://dx.doi.org/10.1016/j.jmaa.2009.10.057.
Full textDissertations / Theses on the topic "Log-concavity"
Vecchi, Lorenzo. "On the log-concavity of the characteristic polynomial of a matroid." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20797/.
Full textNance, Anthony Charles. "On the independence numbers for the cycle matroid of a wheel: Unimodality and bounds supporting log-concavity /." The Ohio State University, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=osu148794501561837.
Full textBizeul, Pierre. "Stochastic methods in convexity." Electronic Thesis or Diss., Sorbonne université, 2023. http://www.theses.fr/2023SORUS731.
Full textThis thesis deals with high-dimensionnal phenomena arising under convexity assumptions. In a first part, we study the behavior of the entropy and information with respect to convolutions of log-concave vectors. Then, using stochastic localization, a very recent technique which led to an almost resolution of the KLS conjecture, we establish new results regarding the concentration fucntion of log-concave probabilities, and their log-Sobolev constant. Finally, the last chapter is devoted to the study of large random linear systems, for which a cut-off phenomenon is established
Neiman, Michael. "Negative correlation and log-concavity." 2009. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051389.
Full textChen, Shih-Yan, and 陳世晏. "Unimodality and Log-concavity of Independence Polynomials ofVery Well-covered Graphs and Topological Properties ofSome Interconnection Networks." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/12356328450125953702.
Full text中原大學
應用數學研究所
99
There are two main parts in this dissertation. In the first part, we study “Unimodality and log-concavity of independence polynomials of very well-covered graphs”. We show that the independence polynomial I(G*;x) of G* is unimodal for any graph G* whose skeleton G has the stability number α(G)<=8. In addition, we show that the independence polynomial of K*2,n is log-concave with a unique mode. In the second part, we investigate “Topological properties of some interconnection networks”. Using the structures of dual-cubes introduced by Li and Peng, we introduce a new interconnection work, called dual-cube extensive networks (DCEN). Furthermore, we study some topological properties of DCEN. More precisely, we show that DCEN(G) preserves some nice properties of G such as the hamiltonian connectivity, globally 3*-connectivity, and edge-pancyclicity, and also discuss the fault-tolerant hamiltonian property of DCEN(G). In addition, we investigate the 4-fault-tolerant hamiltonicity of circular graphs G(n,4) and the existence of mutually independent hamiltonian cycles of alternating group graphs AGn.
Guo, Yi-Xuan, and 郭易軒. "Log-concavity of independence polynomials of the very well-covered graphs generated from the complete bipartite graphs Kt,n." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/84442710530380984473.
Full text中原大學
應用數學研究所
99
A well-covered graph is a graph in which all maximal stable/independent sets have the same cardinality. Let sk denote the number of stable sets of cardinality k in graph G, and α(G) be the size of a maximum stable set. A well-covered graph G with no isolated vertices is called very well-covered if |G| = 2α(G). The independence polynomial of G is defined by I(G; x) = Σα(G) k=0 skxk, and I(G; x) is log-concave if s2k ≥ sk+1sk¡1 holds for 1 ≤ k ≤ α(G)−1. Given an arbitrary graph G, G¤ is the graph obtained from G by appending a single pendant edge to each vertex of G. It is easy to see that G¤ is very well-covered. In 2004, Levit and Mandrescu [17] proved that the independence polynomial of K¤1,n is log-concave. In 2010, the same result for K¤2,n is proved by Chen and Wang [8]. In this thesis, we find the independence polynomials I(K¤t,n; x) of K¤t,n for all positive integers t ≤ n and show that I(K¤t,n; x) is log-concave for any t with 3 ≤ t ≤ 5.
Book chapters on the topic "Log-concavity"
Asai, Nobuhiro, Izumi Kubo, and Hui-Hsiung Kuo. "Bell Numbers, Log-Concavity, and Log-Convexity." In Recent Developments in Infinite-Dimensional Analysis and Quantum Probability, 79–87. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0842-6_4.
Full textWellner, Jon A. "Strong Log-concavity is Preserved by Convolution." In High Dimensional Probability VI, 95–102. Basel: Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0490-5_7.
Full textGarcía-Marco, Ignacio, Pascal Koiran, and Sébastien Tavenas. "Log-Concavity and Lower Bounds for Arithmetic Circuits." In Mathematical Foundations of Computer Science 2015, 361–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48054-0_30.
Full textMező, István. "Unimodality, log-concavity, and log-convexity." In Combinatorics and Number Theory of Counting Sequences, 105–21. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9781315122656-4.
Full text"Log-Concavity and Unimodality." In Information and Exponential Families, 93–102. Chichester, UK: John Wiley & Sons, Ltd, 2014. http://dx.doi.org/10.1002/9781118857281.ch6.
Full text"Unimodality, Log-concavity, Real-rootedness And Beyond." In Handbook of Enumerative Combinatorics, 461–508. Chapman and Hall/CRC, 2015. http://dx.doi.org/10.1201/b18255-13.
Full text"Convexity and Log-Concavity Related Moment and Probability Inequalities." In Mathematics in Science and Engineering, 339–59. Elsevier, 1992. http://dx.doi.org/10.1016/s0076-5392(08)62825-8.
Full textConference papers on the topic "Log-concavity"
Ahmita, Moussa, Hacène Belbachir, and Takao Komatsu. "Preserving log-concavity and generalized triangles." In DIOPHANTINE ANALYSIS AND RELATED FIELDS—2010: DARF—2010. AIP, 2010. http://dx.doi.org/10.1063/1.3478183.
Full textSun, Yin, and Shidong Zhou. "Tight Bounds of the Generalized Marcum Q-Function Based on Log-Concavity." In IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference. IEEE, 2008. http://dx.doi.org/10.1109/glocom.2008.ecp.226.
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