The list of publications sorted by topics is available here.

66. Mikołaj Marciniak, Piotr Śniady.
    Fluctuations of Schensted row insertion.
    Preprint arXiv:2302.03762

67. Piotr Śniady.
    Modulus of continuity of Kerov transition measure for continual Young diagrams.
    Preprint arXiv:2405.07091

68. Mikołaj Marciniak, Piotr Śniady.
    Cumulants of threshold for Schensted row insertion into random tableaux.
    Preprint arXiv:2407.06213

69. Karolina Trokowska, Piotr Śniady.
    Bijection between trees in Stanley character formula and factorizations of a cycle.
    The Electronic Journal of Combinatorics 31 (1) (2024), #P1.23
    Also available as arXiv:2210.04478

70. Mikołaj Marciniak, Łukasz Maślanka, Piotr Śniady.
    Poisson limit theorems for the Robinson-Schensted correspondence and for the multi-line Hammersley process.
    Advances in Applied Mathematics 145 (2023) 102478
    Also available as arXiv:2005.13824

71. Łukasz Maślanka, Piotr Śniady.
    Second class particles and limit shapes of evacuation and sliding paths for random tableaux.
    Doc. Math. 27, 2183-2273 (2022)
    Also available as arXiv:1911.08143v3

72. Sho Matsumoto, Piotr Śniady.
    Symmetric group characters of almost square shape.
    Algebraic Combinatorics, Volume 5 (2022) no. 4, pp. 771-784.
    Also available as arXiv:2108.12939  

73. Mikołaj Marciniak, Łukasz Maślanka, Piotr Śniady.
    Poisson limit of bumping routes in the Robinson-Schensted correspondence.
    Probab. Theory Related Fields 181 (2021), no. 4, 1053–1103
    Also available as arXiv:2005.14397

74. Łukasz Maślanka, Piotr Śniady.
    Limit shapes of evacuation and jeu de taquin paths in random square tableaux.
    Extended 12-page abstract of the conference Formal Power Series and Algebraic Combinatorics FPSAC 2020.
    Seminaire Lotharingien de Combinatoire, 84B.8 (2020), 12 pp
    Also available as arXiv:1911.08143v2

75. Sho Matsumoto, Piotr Śniady.
    Random strict partitions and random shifted tableaux.
    Sel. Math. New Ser. 26, 10 (2020)
    Also available as arXiv:1906.07937

76. Sho Matsumoto, Piotr Śniady.
    Linear versus spin: representation theory of the symmetric groups.
    Algebraic Combinatorics, Volume 3 (2020) no. 1, pp. 249-280
    Also available as arXiv:1811.10434

77. Sho Matsumoto, Piotr Śniady.
    Stanley character formula for the spin characters of the symmetric groups.
    Séminaire Lotharingien de Combinatoire 82B (2019). Article #1, 12 pp.
    Also available as arXiv:1810.13255

78. Piotr Śniady.
    Co to jest... macierz o naprzemiennych znakach?
    Wiadomości Matematyczne 55 (1) 2019, 137-142

79. Piotr Śniady.
    Asymptotics of Jack characters.
    Journal of Combinatorial Theory, Series A 166 (2019) 91-143
    Available as arXiv:1506.06361
    transparencies 1
    transparencies 2

80. Maciej Dołęga, Piotr Śniady.
    Gaussian fluctuations of Jack-deformed random Young diagrams
    Probab. Theory Relat. Fields (2019) 174: 133.
    Available as arXiv:1704.02352

81. Serban Belinschi, Piotr Śniady, Roland Speicher.
    Eigenvalues of non-hermitian random matrices and Brown measure of non-normal operators: hermitian reduction and linearization method.
    Linear Algebra and Its Applications 537C (2018) pp. 48-83
    Also available as arXiv:1506.02017

82. Greta Panova, Piotr Śniady.
    Skew Howe duality and random rectangular Young tableaux
    Algebraic Combinatorics, Volume 1 (2018) no. 1, p. 81-94
    Also available as arXiv:1705.07604

83. Benoît Collins, Jonathan Novak, Piotr Śniady.
    Semiclassical asymptotics of GL_N(C) tensor products and quantum random matrices.
    Selecta Mathematica New Series (2018) 24: 2571.
    Available on publisher's website.
    Also available as arXiv:1611.01892

84. Agnieszka Czyżewska-Jankowska, Piotr Śniady.
    Jack characters and enumeration of maps 
    Séminaire Lotharingien de Combinatoire, 78B.5 (2017), 12 pp.
    Proceedings of The 29th international conference on Formal Power Series and Algebraic Combinatorics, London, 2017
    Also available as arXiv:1611.02446

85. Agnieszka Czyżewska-Jankowska, Piotr Śniady.
    Bijection between oriented maps and weighted non-oriented maps.
    Electronic Journal of Combinatorics 24(3) (2017), #P3.7
    Also available as arXiv:1611.02012

86. Dan Romik, Piotr Śniady.
    Limit shapes of bumping routes in the Robinson-Schensted correspondence.
    Random Structures Algorithms 48 (2016), no. 1, 171–182
    Also available as arXiv:1304.7589
    transparencies

87. Piotr Śniady.
    Stanley character polynomials.
    Chapter in the book
    The Mathematical Legacy of Richard P. Stanley
    Edited by Patricia Hersh, Thomas Lam, Pavlo Pylyavskyy, Victor Reiner
    American Mathematical Society, Providence, RI, 2016.
    Available as arXiv:1409.7533

88. Dan Romik, Piotr Śniady.
    Jeu de taquin dynamics on infinite Young tableaux and second class particles.
    Ann. Probab. 43 (2015), No. 2, 682-737
    Also available as arXiv:1111.0575
    transparencies with emphasis on second class particles
    transparencies with emphasis on harmonic analysis and representation theory

89. Piotr Śniady.
    Robinson-Schensted-Knuth algorithm, jeu de taquin, and Kerov-Vershik measures on infinite tableaux.
    SIAM J. Discrete Math. 28 (2014), no. 2, 598–630
    Also available as arXiv:1307.5645

90. Maciej Dołęga, Valentin Féray, Piotr Śniady.
    Jack polynomials and orientability generating series of maps.
    Sém. Lothar. Combin., 70:Art. B70j, 50 pp., 2014
    Also available as arXiv:1301.6531
    transparencies

91. Benoît Collins, Hun Hee Lee, Piotr Śniady.
    Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras.
    Studia Math. 220 (2014), no. 3, 221–241
    Also available as arXiv:1210.6907

92. Motohisa Fukuda, Piotr Śniady.
    Partial transpose of random quantum states: exact formulas and meanders.
    J. Math. Phys. 54 (2013), no. 4, 042202
    Also available as arXiv:1211.1525

93. Benoît Collins, Piotr Śniady.
    Asymptotic fluctuations of representations of the unitary groups.
    Preprint arXiv:0911.5546, 2013
    transparencies

94. Piotr Śniady.
    Between excess and deficiency: critical percolation.
    Chapter in the book Excess and lack,
    pages 155-160.
    Edited by Łukasz Huculak, Bartłomiej Skowron, Krystyna Dąbrowska, Jakub Jernajczyk, Małgorzata Zakrzewska, Roland Zarzycki
    The Academy of Young Scholars and Artists, Wrocław 2013

95. A. Karska, G.J. Herczeg, E.F. van Dishoeck, S.F. Wampfler, L.E. Kristensen, J.R. Goicoechea, R. Visser, B. Nisini, I. San-Jose Garcia, S. Bruderer, P. Sniady, S. Doty, D. Fedele, U.A. Yildiz, A.O. Benz, E. Bergin, P. Caselli, F. Herpin, M.R. Hogerheijde, D. Johnstone, J.K. Jorgensen, R. Liseau, M. Tafalla, F. van der Tak, F. Wyrowski
    Water in star-forming regions with Herschel (WISH) -- III. Far-infrared cooling lines in low-mass young stellar objects
    Astronomy & Astrophysics 552 A141 (2013)

96. Rafał Idzikowski, Małgorzata Mazij, Paweł Śniady, Piotr Śniady.
    Vibrations of String due to a Uniform Partially Distributed Moving Load: Closed Solutions
    Mathematical Problems in Engineering, Volume 2013, Article ID 163970, 8 pages

97. Piotr Śniady.
    Combinatorics of asymptotic representation theory.
    European Congress of Mathematics, Kraków, 2-7 July, 2012, pp: 531-545, European Mathematical Society Publishing House
    Also available as arXiv:1203.6509
    transparencies

98. Maciej Dołęga, Piotr Śniady.
    Asymptotics of characters of symmetric groups: structure of Kerov character polynomials.
    J. Combin. Theory Ser. A 119 (2012), no. 6, 1174–1193
    Also available as arXiv:0911.1038

99. Jonathan Novak, Piotr Śniady.
    What is... free cumulant
    Notices Amer. Math. Soc. 58 (2011), no. 2, 300-301

100. Valentin Féray, Piotr Śniady.
     Dual combinatorics of zonal polynomials.
     23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 317–328, Discrete Math. Theor. Comput. Sci. Proc., AO, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2011.

101. Maciej Dołęga, Piotr Śniady.
     Polynomial functions on Young diagrams arising from bipartite graphs.
     23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 257–268, Discrete Math. Theor. Comput. Sci. Proc., AO, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2011
     Also available as arXiv:1105.2703

102. Valentin Féray, Piotr Śniady.
     Zonal polynomials via Stanley's coordinates and free cumulants.
     J. Algebra 334 (2011), 338-373
     Also available as arXiv:1005.0316

103. Valentin Féray, Piotr Śniady.
     Asymptotics of characters of symmetric groups related to Stanley character formula.
     Ann. of Math. (2) 173 (2011), 887-906
     Also available as arXiv:math/0701051
     transparencies 1
     transparencies 2
     transparencies 3

104. Jarosław Rusin, Paweł Śniady, Piotr Śniady.
     Vibrations of double-string complex system under moving forces. Closed solutions.
     Journal of Sound and Vibration, Volume 330, Issue 3, 31 January 2011, Pages 404-415

105. Cristopher Moore, Alexander Russell, Piotr Śniady
     On the impossibility of a quantum sieve algorithm for graph isomorphism.
     SIAM J. Comput. 39 (2010), no. 6, 2377-2396
     transparencies

106. Maciej Dołęga, Valentin Féray, Piotr Śniady
     Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations.
     Adv. Math. 225 (2010), no. 1, 81-120
     Also available as arXiv:0810.3209
     transparencies from viewpoint of free probability
     transparencies

107. Maciej Dołęga, Valentin Féray, Piotr Śniady
     Characters of symmetric groups in terms of free cumulants and Frobenius coordinates.
     21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 337-348, Discrete Math. Theor. Comput. Sci. Proc., AK, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2009.
     Also available as arXiv:1105.2549
     transparencies

108. Piotr Śniady
     Asymptotyczna teoria reprezentacji grup permutacji
     Wiad. Mat. 45 (2009), no. 2, 171-193
     Also available as arXiv:0904.4382

109. Benoît Collins, Piotr Śniady
     Representations of Lie groups and random matrices.
     Trans. Amer. Math. Soc. 361 (2009), no. 6, 3269-3287
     Also available as arXiv:math/0610285

110. Amarpreet Rattan, Piotr Śniady
     Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula.
     Adv. Math. 218 (2008), no. 3, 673-695
     Also available as arxiv:math/0610540
     transparencies

111. Benoît Collins, James A. Mingo, Piotr Śniady, Roland Speicher.
     Second order freeness and fluctuations of random matrices. III. Higher order freeness and free cumulants.
     Doc. Math. 12 (2007), 1-70 (electronic).
     Also available as arXiv:math/0606431

112. James A. Mingo, Piotr Śniady, Roland Speicher.
     Second order freeness and fluctuations of random matrices. II. Unitary random matrices.
     Adv. Math. 209 (2007), no. 1, 212-240.
     Also available as arXiv:math/0405258

113. Piotr Śniady.
     Permutations without long decreasing subsequences and random matrices.
     Electron. J. Combin. 14 (2007), no. 1, Research Paper 11, 9 pp. (electronic).
     Also available as arXiv:math/0603401

114. Artur Jeż, Piotr Śniady.
     Generalized Cauchy identities, trees and multidimensional Brownian motions. Part II: Combinatorial differential calculus.
     Preprint arXiv:0708.3441, 2007

115. Cristopher Moore, Alexander Russell, Piotr Śniady.
     On the impossibility of a quantum sieve algorithm for graph isomorphism.
     In STOC '07: Proceedings of the thirty-ninth annual ACM symposium on Theory of computing, pages 536-545, New York, NY, USA, 2007. ACM Press.
     Also available as arXiv:quant-ph/0612089

116. Benoît Collins, Piotr Śniady.
     New scaling of Itzykson-Zuber integrals.
     Ann. Inst. H. Poincaré Probab. Statist. 43 (2007), no. 2, 139-146.
     Also available as arXiv:math/0505664

117. Benoît Collins, Piotr Śniady.
     Integration with respect to the Haar measure on unitary, orthogonal and symplectic group.
     Comm. Math. Phys. 264 (2006), no. 3, 773-795.
     Also available as arXiv:math-ph/0402073

118. Piotr Śniady.
     Limit distributions of many-particle spectra and q-deformed Gaussian variables
     Quantum probability, 409–414, Banach Center Publ., 73, Polish Acad. Sci. Inst. Math., Warsaw, 2006.
     Also available as arXiv:nucl-th/0104033

119. Piotr Śniady.
     Gaussian fluctuations of characters of symmetric groups and of Young diagrams.
     Probab. Theory Related Fields 136 (2006), no. 2, 263-297.
     Also available as arXiv:math/0501112
     transparencies

120. Piotr Śniady.
     Gaussian fluctuations of representations of wreath products.
     Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9 (2006), no. 4, 529-546.
     Also available as arXiv:math/0601089

121. Piotr Śniady.
     Generalized Cauchy identities, trees and multidimensional Brownian motions. I. Bijective proof of generalized Cauchy identities.
     Electron. J. Combin. 13 (2006), no. 1, Research Paper 62, 27 pp. (electronic).
     Also available as arXiv:math/0412043

122. Piotr Śniady.
     Asymptotics of characters of symmetric groups, genus expansion and free probability.
     Discrete Math. 306 (2006), no. 7, 624-665.
     Also available as arXiv:math/0411647

123. Piotr Śniady.
     Factoriality of Bozejko-Speicher von Neumann algebras.
     Comm. Math. Phys. 246 (2004), no. 3, 561-567.
     Also available as arXiv:math/0307201

124. Piotr Śniady.
     Multinomial identities arising from free probability theory.
     J. Combin. Theory Ser. A 101 (2003), no. 1, 1-19.
     Also available as arXiv:math/0202077

125. Piotr Śniady.
     Inequality for Voiculescu's free entropy in terms of Brown measure.
     Int. Math. Res. Not. (2003), no. 1, 51-64.
     Also available as arXiv:math/0112289

126. Piotr Śniady.
     Random regularization of Brown spectral measure.
     J. Funct. Anal. 193 (2002), no. 2, 291-313.
     Also available as arXiv:math/0105109
     transparencies

127. Piotr Śniady, Roland Speicher.
     Continuous family of invariant subspaces for R-diagonal operators.
     Invent. Math. 146 (2001), no. 2, 329-363.
     Also available as arXiv:math/0103129

128. Piotr Śniady.
     Gaussian random matrix models for q-deformed Gaussian variables.
     Comm. Math. Phys. 216 (2001), no. 3, 515-537.
     Also available as arXiv:math/0007158

129. Piotr Śniady.
     On q-deformed quantum stochastic calculus.
     Probab. Math. Statist. 21 (2001), no. 1, Acta Univ. Wratislav. No. 2298, 231-251.
     Also available as arXiv:math-ph/0007035

130. Piotr Śniady.
     Quadratic bosonic and free white noises.
     Comm. Math. Phys. 211 (2000), no. 3, 615-628.
     Also available as arXiv:math-ph/0303048

131. Piotr Śniady, Marcin Zygmunt.
     The U(1)-invariant field theories with normal field operators.
     J. Math. Phys. 41 (2000), no. 7, 4604-4606.
     Also available as arXiv:math-ph/0103035