Papers of Yuval Roichman
Papers of Yuval Roichman
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Random Cayley graphs and expanders.
Joint with N. Alon.
Random Structures \& Algorithms 5 (1994), 271--284.
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Upper bound on the characters of the symmetric groups.
Inventiones Mathematicae 125 (1996), 451--485.
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On random random walks.
Annals of Probability 24 (1996), 1001--1011.
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A recursive rule for Kazhdan-Lusztig
characters.
Adv. Math. 129 (1997), 24--45.
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Decomposition of the conjugacy representation
of the symmetric groups.
Israel J. Math. 97 (1997),
305--316.
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Expansion properties of
Cayley graphs of the alternating groups.
J. Comb. Theory Ser. A. 79 (1997), 281--297.
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Induced and restricted
Kazhdan-Lusztig cells.
Adv. Math. 134 (1998), 384--398.
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The Action of a few permutations on $r$-tuples is quickly
transitive.
Joint with J. Friedman, A. Joux, J. Stern and J. P. Tillich.
Random Structures \& Algorithms 12 (1998),
335--350.
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Schubert polynomials, Kazhdan-Lusztig basis and characters.
Discrete Math. 217 (2000), 353--365.
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On characters of Weyl groups.
Joint with R. M. Adin and A. Postnikov. Discrete Math. 226 (2001),
355--358.
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On the achromatic number of hypercubes.
J. Comb. Theory Ser. B 79 (2000), 177--182.
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On permutation statistics and Hecke algebra representations.
In:
Combinatorial Methods in Representation Theory,
Adv. Pure Math. 28, Math. Soc. Japan (2000), 287--304.
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Characters of the symmetric groups: recursive
formulas, estimates and applications.
In: IMA Math. App. Vol. 109,
Emerging Applications of Number Theory (J. Friedman,
M. C. Gutzwiller, D. A. Hejhal, A. M. Odlyzko, Eds.), 525--546.
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Murnaghan-Nakayama and Littlewood-Richardson type rules
for Kazhdan-Lusztig representations of Coxeter groups.
Proc. 9th Conference in Formal Power Series and Algebraic Combinatorics,
Univ. Vien, Vien, 1997, 508--516.
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Some combinatorial properties of the coinvariant algebra.
Proc. 10th Conference in Formal Power Series and Algebraic Combinatorics, Fields Inst., Toronto, 1998, 529--537.
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A flag major index for signed permutations.
Joint with R. M. Adin,
Proc. 9th Conference in Formal Power Series and Algebraic Combinatorics, Universitat Polit\`ecnica de Catalunya, Barcelona 1999,
10--17.
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On random Young tableaux.
Joint with R. M. Adin,
In: Research Communications, Paul Erd\H os and his Mathematics
(A. Sali, M. Simonovits, V. T. S\'os Eds.),
J\'anos Bolyai Mathematical society,
Hungary Acad. Sc., Budapest 1999, 4--6.
- Random Cayley graphs and expanders
(abstract).}
Joint with N. Alon.
In: Expanding graphs (Princeton, NJ, 1992) (J. Friedman, Ed.), 1--3.
DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 10, Amer. Math.
Soc., Providence, RI, 1993.
- The action of a few random permutations on $r$-tuples and
an application to cryptography.
Joint with
J. Friedman, A. Joux, J. Stern J. P. Tillich.
Sym. Theor. Aspects Comp. Sci. 1996, 375--386.
Lecture Notes in Comput. Sci., 1046, Springer, Berlin, 1996.
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Major index of shuffles and restriction of representations.
preprint.
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Hecke algebra actions on the coinvariant algebra.
Joint with R. M. Adin and A. Postnikov,
J. Algebra 233 (2000), 594--613.
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The flag major index and group actions on polynomial rings.
Joint with R. M. Adin, Europ. J. Combin. 22 (2001), 431--446.
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Descent Functions and Random Young Tableaux.
Joint with R. M. Adin, Combin. Probab. Comput. 10 (2001), 187--201.
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Descent numbers for the hyperoctahedral group.
Joint with
Ron M. Adin and F. Brenti. Adv. Appl. Math. 27 (2001), 210--224.
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Shape avoiding permutations.
Joint with R. M. Adin,
J. Combin. Theory Ser. A 97 (2002), 162--176.
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Hook interpolations.
Joint with
Ron M. Adin and A. Frumkin. J. Algebra 258 (2002), 543--562.
Erratum to ``Hook interpolations".
Joint with
Ron M. Adin and A. Frumkin. J. Algebra 262 (2003), 262--264.
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Recursion and symmetry in Ibn-Ezra mathematical works (English abstract).
B.D.D. 14 (2004), 117--127.
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On trees and characters.
Joint with A. Frumkin and G. D. James.
J. Algebraic Combin. 17 (2003), no. 3, 323--334.
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Descent representations and multivariate statistics.
Joint with
Ron M. Adin and F. Brenti. Trans. Math.
357 (2005), no. 8, 3051--3082
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Permutation statistics on the alternating group.
Joint with Amitai Regev.
Adv. in Appl. Math. 33 (2004), no. 4, 676--709.
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Generalized statistics on $S_n$ and pattern avoidance.
Joint with Amitai Regev.
European J. Combin. 26 (2005), no. 1, 29--57.
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Equidistribution and sign balance on 321 avoiding permutations.
Joint with Ron Adin.
Sém. Lothar. Combin. 51 (2004/05), Art. B51d, 14 pp. (electronic).
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On degrees in the Hasse diagram of the strong Bruhat order.
Joint with Ron Adin.
Sém. Lothar. Combin. 53 (2004/06), Art. B53g, 12 pp. (electronic).
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A unified construction of Coxeter group representations - I.
Joint with Ron Adin and Francesco Brenti.
Adv. in Appl. Math. 37 (2006), no. 1, 31--67.
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Statistics on wreath products and generalized binomial-Stirling numbers.
Joint with Amitai Regev. Israel J. Math. 151 (2006), 189--221.
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Equi-distribution over descent classes of the hyperoctahedral group.
Joint with Ron Adin and Francesco Brenti.
J. Combin. Theory Ser. A 113 (2006), no. 6, 917--933.
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Signed Mahonians.
Joint with Ron Adin and Ira Gessel.
J. Combin. Theory Ser. A 109 (2005), no. 1, 25--43.
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A construction of Coxeter group representations. II.
Joint with Ron Adin and Francesco Brenti.
J. Algebra 306 (2006), no. 1, 208--226.
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The mathematics of Amitai Regev.
Joint with A. Berele.
Adv. in Appl. Math. 37 (2006), no. 2, 132--138.
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Alternating subgroups of Coxeter groups.
Joint with Francesco Brenti and Victor Reiner.
J. Combin. Theory Ser. A, to appear.
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The combinatorics of the Garsia-Haiman modules for hook shapes.
Joint with Ron Adin and Jeffrey Remmel.
Electron. J. Combin., to appear.
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Major Indices and Perfect Bases for Complex Reflection Groups.
Joint with Ron Adin and Robert Shwartz, preprint 2007.
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Combinatorial Gelfand models.
Joint with Ron Adin and Alex Postnokov. J. Algebra, to appear.
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A Gelfand model for wreath products.
Joint with Ron Adin and Alex Postnokov, preprint 2008.
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