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Location : Alexander Burstein > Papers and Talks

Papers and Talks

[-] Preprints

[-] Published

  1. Jonathan Bloom, Alexander Burstein, Egge triples and unbalanced Wilf-equivalence(external link), Austral. J. Combin.(external link) 64(1) (2016), 232-251,arXiv:1410.0230(external link).
  2. Alexander Burstein, On the distribution of some Euler-Mahonian statistics, J. Combin.(external link) 6 (2015), no. 3, 273-284, arXiv:1402.3619(external link).
  3. Alexander Burstein, Jay Pantone, Two examples of unbalanced Wilf-equivalence, J. Combin.(external link) 6 (2015), no. 1-2, 55-67.
  4. Alexander Burstein, Sergi Elizalde, Total occurrence statistics on restricted sets(external link), Pure Math. Appl. (Pu.M.A.)(external link) 24 (2013), no. 2, 103-123.
  5. Ziyad AlSharawi, Alexander Burstein, Michael Deadman, Abdullahi Umar, A recursive sequence arising from a combinatorial problem in botanical epidemiology, Journal of Difference Equations and Applications(external link) 19 (2013), no. 6, 981-993.
  6. Alexander Burstein, A short proof for the number of permutations containing pattern 321 exactly once(external link), Electron. J. Combin.(external link) 18(2) (2011), P21.
  7. Alexander Burstein, Vít Jelínek, Eva Jelínková, Einar Steingrímsson, The Möbius function of separable and decomposable permutations, J. Combin. Th., Ser. A(external link) 118 (2011), 2346–2364.
  8. Alexander Burstein, Matthieu Josuat-Vergés, Walter Stromquist, New Dumont permutations(external link), Pure Math. Appl. (Pu.M.A.)(external link) 21 (2010), no. 2, 177-206.
  9. Alexander Burstein, On joint distribution of adjacencies, descents and some Mahonian statistics(external link), Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)(external link), August 2010, San Francisco, CA, pp. 601-612.
  10. Alexander Burstein, Peter Hästö, Packing sets of patterns, Europ. J. Combin.(external link) 31 (2010), no. 1, 241-253.
  11. Alexander Burstein, Niklas Eriksen, Combinatorial properties of permutation tableaux, full version, in Permutation Patterns(external link) (2010), S.A. Linton, N. Ruskuc, V. Vatter (eds.), LMS Lecture Note Series No. 376, Cambridge University Press, pp. 171-192.
  12. Alexander Burstein, Isaiah Lankham, Restricted patience sorting and barred pattern avoidance, full version, in Permutation Patterns(external link) (2010), S.A. Linton, N. Ruskuc, V. Vatter (eds.), LMS Lecture Note Series No. 376, Cambridge University Press, pp. 233-257.
  13. Alexander Burstein, Sergey Kitaev, Partially ordered patterns and their combinatorial interpretations(external link), Pure Math. Appl. (PU.M.A.)(external link) 19 (2008), no. 2-3, 27-38.
  14. Alexander Burstein, Sergey Kitaev, Toufik Mansour, Counting independent sets in certain classes of (almost) regular graphs(external link), Pure Math. Appl. (PU.M.A.)(external link) 19 (2008), no. 2-3, 17-26.
  15. Alexander Burstein, Niklas Eriksen, Combinatorial properties of permutation tableaux(external link), extended abstract, in Proceedings of the 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)(external link), June 2008, Viña del Mar, Chile.
  16. Alexander Burstein, On some properties of permutation tableaux, Ann. Combin.(external link) 11 (2007), 355-368.
  17. Alexander Burstein, Walter Stromquist, Dumont permutations of the third kind(external link), extended abstract, in Proceedings of the 19th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2007)(external link), July 2007, Tianjin, China.
  18. Alexander Burstein, Isaiah Lankham, Restricted patience sorting and barred pattern avoidance(external link), extended abstract, in Proceedings of the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2006)(external link), June 2006, San Diego, CA.
  19. Alexander Burstein, Sergi Elizalde, Toufik Mansour, Restricted Dumont permutations, Dyck paths and noncrossing partitions, Discrete Math.(external link) 306 (2006), no. 22, 2851-2869. Extended abstract(external link) in Proceedings of the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2006)(external link), June 2006, San Diego, CA.
  20. Alexander Burstein, Isaiah Lankham, A geometric form for the extended patience sorting algorithm, Adv. Appl. Math.(external link) 36 (2006), no. 2, 106-117.
  21. Alexander Burstein, Isaiah Lankham, Combinatorics of patience sorting piles(external link), Séminaire Lotharingien de Combinatoire(external link) 54A (2006), Article B54Ab, 19 pp. Extended abstract in Proceedings of the 17th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2005)(external link), June 2005, University of Messina, Italy.
  22. Alexander Burstein, Restricted Dumont permutations, Ann. Combin.(external link) 9 (2005), no. 3, 269-280.
  23. Alexander Burstein, Sergey Kitaev, On unavoidable sets of word patterns, SIAM J. Discrete Math.(external link) 19 (2005), no. 2, 371-381.
  24. Alexander Burstein, Peter Hästö, Toufik Mansour, Packing patterns into words(external link), Electron. J. Combin.(external link) 9(2) (2002-2003), R20.
  25. Alexander Burstein, Toufik Mansour, Words restricted by 3-letter generalized multipermutation patterns, Ann. Combin.(external link) 7 (2003), no. 1, 1-14.
  26. Alexander Burstein, Toufik Mansour, Counting occurrences of some subword patterns(external link), Discrete Math. and Theor. Comp. Sci.(external link) 6(1) (2003), 1-12.
  27. Alexander Burstein, Toufik Mansour, Words restricted by patterns with at most 2 distinct letters(external link), Electron. J. Combin.(external link) 9(2) (2002-2003), R3.
  28. Alexander Burstein, Sylvie Corteel, Alexander Postnikov, Carla D. Savage, A lattice path approach to counting partitions with minimum rank t, Discrete Math.(external link) 249 (2002), no. 1-3, 31-39.
  29. Alexander Burstein, Herbert S. Wilf, On cyclic strings without long constant blocks, Fibonacci Quart.(external link) 35 (1997), no. 3, 240-247.

[-] Accepted

[-] Submitted

[-] In preparation

  1. Alexander Burstein, Chinenye Ofodile, Dumont permutations containing one occurrence of certain three and four letter patterns.

[-] Other

  1. Alexander Burstein, Enumeration of words with forbidden patterns, Ph.D. thesis, University of Pennsylvania, 1998.

[-] Conference Talks and Posters

  1. Unimodal inversion sequences and related pattern classes, talk,
    1. Minisymposium on Permutations in Patterns and Words, 26th British Combinatorial Conference (BCC'17), July 3-7, 2017, University of Strathclyde, Glasgow, Scotland. (all minisymposium talks are invited)
    2. 15th International Conference on Permutation Patterns (PP'16), June 26-30, 2017, Reykjavik University, Reykjavik, Iceland.
  2. Restricted Dumont permutations, Special Session on Enumerative Combinatorics, AMS Central Section Meeting, October 28-30, 2016, University of St. Thomas, Minneapolis, MN.
  3. Unimodal inversion sequences and pattern-avoiding classes, poster, 14th International Conference on Permutation Patterns (PP'16), June 27 - July 1, 2016, Howard University, Washington, DC.
  4. Unimodal inversion sequences and pattern-avoiding classes, talk, AMS Central Section Meeting, October 3-4, 2015, Chicago, IL. (with Walter Stromquist)
  5. Unbalanced Wilf-equivalence, talk, AMS Central Section Meeting, September 20-21, 2014, Eau Claire, WI.
  6. Unbalanced Wilf-equivalence, talk, PP'14, July 7-11, 2014, East Tennessee State University, Johnson City, TN.
  7. Unbalanced Wilf-equivalences, talk, Bijective and Algebraic Combinatorics: In honor of Bruce Sagan's 60th birthday, March 24-25, 2014, University of Florida, Gainesville, FL.
  8. Equidistribution of some Euler-Mahonian statistics, AMS-MAA Joint Mathematics Meetings, talk, January 9-12, 2013, San Diego, CA.
  9. A combinatorial proof of equidistribution of some Euler-Mahonian statistics, AMS Eastern Section Meeting, talk, September 22-23, 2012, Rochester, NY.
  10. A combinatorial proof of joint equidistribution of some pairs of permutation statistics, talk, PP'12, June 11-15, 2012, Glasgow, Scotland.
  11. Dumont permutations containing one occurrence of certain three and four letter patterns, talk, AMS Central Section Meeting, March 31 - April 1, 2012, Lawrence, KS.
  12. Dumont permutations containing one occurrence of certain three and four letter patterns, talk, PP'11, June 20-24, 2011, San Luis Obispo, CA. (with Chinenye Ofodile)
  13. On joint distribution of adjacencies, descents and some Mahonian statistics, poster, FPSAC'10, August 2-6, 2010, San Francisco, CA.
  14. On joint distribution of adjacencies, descents and some Mahonian statistics, talk, From A = B to Z = 60: Conference in Honor of Doron Zeilberger's 60th Birthday, May 27-28, 2010, Rutgers University, Piscataway, NJ.
  15. Distribution of some combinatorial statistics on old and new Dumont permutations, talk, Workshop on Combinatorics, Enumeration, and Invariant Theory (WCEIT), March 19-20, 2010, George Mason University, Fairfax, VA. (with Matthieu Josuat-Vergés and Walter Stromquist)
  16. On joint distribution of adjacencies, descents and some Mahonian statistics, talk, AMS Southeastern Section Meeting, October 30 - November 1, 2009, Boca Raton, FL.
  17. Distribution of pattern statistics on Dumont permutations, talk, PP'09, July 13-17, 2009, Florence, Italy. (Copy of slides at the conference site.)(external link)
  18. Packing sets of patterns, talk, AMS Western Section Meeting, October 4-5, 2008, Vancouver, Canada. (with Peter Hästö)
  19. Combinatorial properties of permutation tableaux, poster, FPSAC'08, June 2008, Viña del Mar, Chile. (with Niklas Eriksen)
  20. Total occurrence statistics on restricted sets, talk, PP'08, June 2008, University of Otago, Dunedin, NZ. (with Sergi Elizalde)
  21. Combinatorial properties of permutation tableaux, talk, AMS Southeastern Section Meeting, November 3-4, 2007, Murfreesboro, TN. (with Niklas Eriksen)
  22. New Dumont permutations, talk, AMS Central Section Meeting, October 5-6, 2007, Chicago, IL. (with Walter Stromquist)
  23. Dumont permutations of the third kind, poster, FPSAC'07, July 2007, Nankai University, Tianjin, China. (with Walter Stromquist)
  24. Some more properties of permutation tableaux, talk, PP'07, June 2007, St. Andrews University, Scotland, UK. (with Niklas Eriksen)
  25. Patience sorting and barred pattern avoidance, poster, FPSAC'06, June 2006, University of California, San Diego, CA.
  26. Restricted Dumont permutations, Dyck paths and noncrossing partitions, poster, FPSAC'06, June 2006, University of California, San Diego, CA.
  27. On some properties of permutation tableaux, talk, PP'06, June 2006, Reykjavik University, Iceland.
  28. Combinatorics of patience sorting piles, poster, FPSAC'05, June 2005, University of Messina, Italy. (with Isaiah Lankham)
  29. Non-intersecting patience sorting shadow diagrams and barred permutation patterns, talk, Workshop on Permutation Patterns, May 2005, University of Haifa, Israel. (with Isaiah Lankham)
  30. A geometric form for the extended patience sorting algorithm, talk, PP'05, March 2005, University of Florida. (with Isaiah Lankham)
  31. Partially ordered generalized patterns and their combinatorial interpretations, talk, PP'05, March 2005, University of Florida. (with Sergey Kitaev)
  32. Restricted Dumont permutations, talk, PP'04, June 2004, Vancouver Island University, Canada. (with Toufik Mansour)
  33. Packing patterns into words, talk, PP'03, February 2003, University of Otago, New Zealand. (with Toufik Mansour)
  34. Words restricted by patterns with at most 2 distinct letters, poster, FPSAC'02, July 2002, University of Melbourne, Australia. (with Toufik Mansour)
  35. A lattice path approach to counting partitions with minimum rank t, talk, The George Washington University Combinatorics Seminar (1999).
  36. Enumeration of words with forbidden patterns, talk, 1998 and 1999 AMS Joint Meetings, MIT Combinatorics Seminar (1998), Temple University Combinatorics Seminar (1997).

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