Cho, Ilwoo; Jorgensen, Palle E. T. Free probability on the limit \(C^\ast\)-algebra induced by a chain of graphs. (English) Zbl 07785411 Complex Anal. Oper. Theory 18, No. 1, Paper No. 11, 48 p. (2024). MSC: 46L54 05C20 05C63 17A50 18B40 47A99 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Complex Anal. Oper. Theory 18, No. 1, Paper No. 11, 48 p. (2024; Zbl 07785411) Full Text: DOI
Fernós, Talia Le Conte de la Mesure sur les Complexes Cubiques CAT(0). arXiv:2403.16360 Preprint, arXiv:2403.16360 [math.GR] (2024). MSC: 20F65 20E05 60B05 05C12 05E18 06A07 20F29 BibTeX Cite \textit{T. Fernós}, ``Le Conte de la Mesure sur les Complexes Cubiques CAT(0)'', Preprint, arXiv:2403.16360 [math.GR] (2024) Full Text: arXiv OA License
Cho, Ilwoo; Jorgensen, Palle E. T. On semicircular elements induced by connected finite graphs. (English) Zbl 07806669 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 583-631 (2023). Reviewer: Hang Lau (Montréal) MSC: 46L54 22A22 05C99 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, in: Matrix and operator equations and applications. Cham: Springer. 583--631 (2023; Zbl 07806669) Full Text: DOI
Garza-Vargas, Jorge; Kulkarni, Archit Spectra of infinite graphs via freeness with amalgamation. (English) Zbl 1525.05110 Can. J. Math. 75, No. 5, 1633-1684 (2023). MSC: 05C50 05C63 05D40 47B36 46L54 58J50 60B15 60G50 60B20 PDFBibTeX XMLCite \textit{J. Garza-Vargas} and \textit{A. Kulkarni}, Can. J. Math. 75, No. 5, 1633--1684 (2023; Zbl 1525.05110) Full Text: DOI arXiv
Conchon-Kerjan, Guillaume Anatomy of a Gaussian giant: supercritical level-sets of the free field on regular graphs. (English) Zbl 07707069 Electron. J. Probab. 28, Paper No. 35, 60 p. (2023). MSC: 60K35 60G15 60C05 05C80 PDFBibTeX XMLCite \textit{G. Conchon-Kerjan}, Electron. J. Probab. 28, Paper No. 35, 60 p. (2023; Zbl 07707069) Full Text: DOI arXiv Link
Puder, Doron; Shomroni, Yotam Stable Invariants and Their Role in Word Measures on Groups. arXiv:2311.17733 Preprint, arXiv:2311.17733 [math.GR] (2023). MSC: 60B15 20C15 60B20 05E10 20B30 20C30 20P05 22C05 20E05 22E30 28C10 57M07 20F65 20F12 BibTeX Cite \textit{D. Puder} and \textit{Y. Shomroni}, ``Stable Invariants and Their Role in Word Measures on Groups'', Preprint, arXiv:2311.17733 [math.GR] (2023) Full Text: arXiv OA License
Defant, Colin Troupes, cumulants, and stack-sorting. (English) Zbl 1515.05091 Sémin. Lothar. Comb. 86B, Article 16, 12 p. (2022). MSC: 05C30 05C76 05C05 05C10 05D15 60C05 PDFBibTeX XMLCite \textit{C. Defant}, Sémin. Lothar. Comb. 86B, Article 16, 12 p. (2022; Zbl 1515.05091) Full Text: Link
Chakrabarty, Arijit; Hazra, Rajat Subhra; den Hollander, Frank; Sfragara, Matteo Large deviation principle for the maximal eigenvalue of inhomogeneous Erdős-Rényi random graphs. (English) Zbl 1504.05261 J. Theor. Probab. 35, No. 4, 2413-2441 (2022). MSC: 05C80 05C50 05C35 15A18 60F10 46L54 PDFBibTeX XMLCite \textit{A. Chakrabarty} et al., J. Theor. Probab. 35, No. 4, 2413--2441 (2022; Zbl 1504.05261) Full Text: DOI arXiv
Pete, Gábor; Timár, Ádám The free uniform spanning forest is disconnected in some virtually free groups, depending on the generator set. (English) Zbl 1510.60090 Ann. Probab. 50, No. 6, 2218-2243 (2022). MSC: 60K35 60B99 05C81 20P05 37A20 82B27 PDFBibTeX XMLCite \textit{G. Pete} and \textit{Á. Timár}, Ann. Probab. 50, No. 6, 2218--2243 (2022; Zbl 1510.60090) Full Text: DOI arXiv
Marcus, Adam W.; Spielman, Daniel A.; Srivastava, Nikhil Finite free convolutions of polynomials. (English) Zbl 1499.60015 Probab. Theory Relat. Fields 182, No. 3-4, 807-848 (2022). MSC: 60B20 46L54 05E99 26C10 PDFBibTeX XMLCite \textit{A. W. Marcus} et al., Probab. Theory Relat. Fields 182, No. 3--4, 807--848 (2022; Zbl 1499.60015) Full Text: DOI arXiv
Fan, Zhou Approximate message passing algorithms for rotationally invariant matrices. (English) Zbl 1486.94026 Ann. Stat. 50, No. 1, 197-224 (2022). MSC: 94A12 05C90 60B20 62J07 62H12 62H25 PDFBibTeX XMLCite \textit{Z. Fan}, Ann. Stat. 50, No. 1, 197--224 (2022; Zbl 1486.94026) Full Text: DOI arXiv
Defant, Colin Troupes, cumulants, and stack-sorting. (English) Zbl 1485.05004 Adv. Math. 399, Article ID 108270, 76 p. (2022). MSC: 05A15 05A05 05C05 05C30 46L54 60C05 PDFBibTeX XMLCite \textit{C. Defant}, Adv. Math. 399, Article ID 108270, 76 p. (2022; Zbl 1485.05004) Full Text: DOI arXiv
Louder, Larsen; Hide, Michael Magee with Appendix by Will; Magee, Michael Strongly convergent unitary representations of limit groups. arXiv:2210.08953 Preprint, arXiv:2210.08953 [math.GR] (2022). MSC: 46L54 22D10 20F65 58J50 05C80 BibTeX Cite \textit{L. Louder} et al., ``Strongly convergent unitary representations of limit groups'', Preprint, arXiv:2210.08953 [math.GR] (2022) Full Text: arXiv OA License
Komjáthy, Júlia; Lapinskas, John; Lengler, Johannes Penalising transmission to hubs in scale-free spatial random graphs. (English) Zbl 1483.05161 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 1968-2016 (2021). MSC: 05C80 05C82 60C05 94A05 PDFBibTeX XMLCite \textit{J. Komjáthy} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 1968--2016 (2021; Zbl 1483.05161) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle E. T. The semicircular law of free probability as noncommutative multivariable operator theory. (English) Zbl 1490.46064 Adv. Oper. Theory 6, No. 4, Paper No. 69, 40 p. (2021). MSC: 46L53 47A13 05C62 17A50 18B40 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Adv. Oper. Theory 6, No. 4, Paper No. 69, 40 p. (2021; Zbl 1490.46064) Full Text: DOI
Redelmeier, C. E. I. Quaternionic second-order freeness and the fluctuations of large symplectically invariant random matrices. (English) Zbl 1490.46065 Random Matrices Theory Appl. 10, No. 2, Article ID 2150017, 29 p. (2021). MSC: 46L54 15B52 05C10 46S05 PDFBibTeX XMLCite \textit{C. E. I. Redelmeier}, Random Matrices Theory Appl. 10, No. 2, Article ID 2150017, 29 p. (2021; Zbl 1490.46065) Full Text: DOI arXiv
Crismale, Vitonofrio; Griseta, Maria Elena; Wysoczański, Janusz Distributions for nonsymmetric monotone and weakly monotone position operators. (English) Zbl 1481.46069 Complex Anal. Oper. Theory 15, No. 6, Paper No. 101, 26 p. (2021). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 60B99 05A18 PDFBibTeX XMLCite \textit{V. Crismale} et al., Complex Anal. Oper. Theory 15, No. 6, Paper No. 101, 26 p. (2021; Zbl 1481.46069) Full Text: DOI arXiv
Gorin, Vadim Lectures on random lozenge tilings. (English) Zbl 1479.52001 Cambridge Studies in Advanced Mathematics 193. Cambridge: Cambridge University Press (ISBN 978-1-108-84396-6/hbk; 978-1-108-92118-3/ebook). ix, 250 p. (2021). Reviewer: Anton Shutov (Vladimir) MSC: 52-01 52-02 60-01 60D05 05-01 05B45 52C20 15B52 76N15 PDFBibTeX XMLCite \textit{V. Gorin}, Lectures on random lozenge tilings. Cambridge: Cambridge University Press (2021; Zbl 1479.52001) Full Text: DOI
Dhara, Souvik; van der Hofstad, Remco; van Leeuwaarden, Johan S. H. Critical percolation on scale-free random graphs: new universality class for the configuration model. (English) Zbl 1461.05184 Commun. Math. Phys. 382, No. 1, 123-171 (2021). MSC: 05C80 60J50 05C81 05C12 05C35 60C05 PDFBibTeX XMLCite \textit{S. Dhara} et al., Commun. Math. Phys. 382, No. 1, 123--171 (2021; Zbl 1461.05184) Full Text: DOI arXiv
Defant, Colin Uniquely sorted permutations. (English) Zbl 1447.05005 Sémin. Lothar. Comb. 84B, Article 4, 12 p. (2020). MSC: 05A05 06A07 PDFBibTeX XMLCite \textit{C. Defant}, Sémin. Lothar. Comb. 84B, Article 4, 12 p. (2020; Zbl 1447.05005) Full Text: Link
Jaerisch, Johannes; Matsuzaki, Katsuhiko Weighted cogrowth formula for free groups. (English) Zbl 1528.20030 Groups Geom. Dyn. 14, No. 2, 349-368 (2020). MSC: 20E08 20F65 20F69 60B15 60J05 05C25 PDFBibTeX XMLCite \textit{J. Jaerisch} and \textit{K. Matsuzaki}, Groups Geom. Dyn. 14, No. 2, 349--368 (2020; Zbl 1528.20030) Full Text: DOI arXiv
Berestycki, Nathanaël; Laslier, Benoît; Ray, Gourab Dimers and imaginary geometry. (English) Zbl 1445.60014 Ann. Probab. 48, No. 1, 1-52 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 60C05 60K35 05C81 60J67 PDFBibTeX XMLCite \textit{N. Berestycki} et al., Ann. Probab. 48, No. 1, 1--52 (2020; Zbl 1445.60014) Full Text: DOI arXiv Euclid
Guo, He; Warnke, Lutz Packing nearly optimal Ramsey \(R(3,t)\) graphs. (English) Zbl 1474.05275 Combinatorica 40, No. 1, 63-103 (2020). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C55 05C80 05D10 60C05 PDFBibTeX XMLCite \textit{H. Guo} and \textit{L. Warnke}, Combinatorica 40, No. 1, 63--103 (2020; Zbl 1474.05275) Full Text: DOI arXiv
Goulden, I. P.; Nica, Alexandru; Puder, Doron Asymptotics for a class of meandric systems, via the Hasse diagram of \(\mathrm{NC}(n)\). (English) Zbl 1437.05105 Int. Math. Res. Not. 2020, No. 4, 983-1034 (2020). MSC: 05C30 05C70 46L54 05A15 PDFBibTeX XMLCite \textit{I. P. Goulden} et al., Int. Math. Res. Not. 2020, No. 4, 983--1034 (2020; Zbl 1437.05105) Full Text: DOI arXiv
Crismale, Vitonofrio; Griseta, Maria Elena; Wysoczański, Janusz Weakly monotone Fock space and monotone convolution of the Wigner law. (English) Zbl 1445.46046 J. Theor. Probab. 33, No. 1, 268-294 (2020). MSC: 46L53 46L54 60B99 05A18 PDFBibTeX XMLCite \textit{V. Crismale} et al., J. Theor. Probab. 33, No. 1, 268--294 (2020; Zbl 1445.46046) Full Text: DOI arXiv
Cho, Ilwoo Semicircular-like and semicircular elements induced by \(p\)-adic analytic dynamical systems. (English) Zbl 1460.37006 Pure Appl. Funct. Anal. 4, No. 3, 495-533 (2019). MSC: 37A55 05E16 11R47 46L54 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Pure Appl. Funct. Anal. 4, No. 3, 495--533 (2019; Zbl 1460.37006) Full Text: Link
Bryc, Włodzimierz; Fakhfakh, Raouf; Młotkowski, Wojciech Cauchy-Stieltjes families with polynomial variance functions and generalized orthogonality. (English) Zbl 1447.60045 Probab. Math. Stat. 39, No. 2, 237-258 (2019). MSC: 60E10 46L54 62E10 05A15 PDFBibTeX XMLCite \textit{W. Bryc} et al., Probab. Math. Stat. 39, No. 2, 237--258 (2019; Zbl 1447.60045) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Decomposition of Gaussian processes, and factorization of positive definite kernels. (English) Zbl 1443.47085 Opusc. Math. 39, No. 4, 497-541 (2019). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 47L60 46N30 46N50 42C15 65R10 05C50 05C75 31C20 60J20 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Opusc. Math. 39, No. 4, 497--541 (2019; Zbl 1443.47085) Full Text: DOI arXiv
Hutchcroft, Tom; Nachmias, Asaf Uniform spanning forests of planar graphs. (English) Zbl 1422.60022 Forum Math. Sigma 7, Paper No. e29, 55 p. (2019). MSC: 60D05 05C10 PDFBibTeX XMLCite \textit{T. Hutchcroft} and \textit{A. Nachmias}, Forum Math. Sigma 7, Paper No. e29, 55 p. (2019; Zbl 1422.60022) Full Text: DOI arXiv
Betea, Dan; Bouttier, Jérémie The periodic Schur process and free fermions at finite temperature. (English) Zbl 1409.82010 Math. Phys. Anal. Geom. 22, No. 1, Paper No. 3, 47 p. (2019). MSC: 82C23 60K35 05E05 PDFBibTeX XMLCite \textit{D. Betea} and \textit{J. Bouttier}, Math. Phys. Anal. Geom. 22, No. 1, Paper No. 3, 47 p. (2019; Zbl 1409.82010) Full Text: DOI arXiv
Abbes, S.; Gouëzel, S.; Jugé, V.; Mairesse, J. Asymptotic combinatorics of Artin-Tits monoids and of some other monoids. (English) Zbl 1468.20107 J. Algebra 525, 497-561 (2019). MSC: 20M32 20M05 05A16 20F36 60B15 68Q70 PDFBibTeX XMLCite \textit{S. Abbes} et al., J. Algebra 525, 497--561 (2019; Zbl 1468.20107) Full Text: DOI arXiv
Iliopoulos, Fotis Commutative algorithms approximate the LLL-distribution. (English) Zbl 1522.68743 Blais, Eric (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. 21st international workshop, APPROX 2018, and 22nd international workshop, RANDOM 2018 August 20–22, 2018, Princeton, USA. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 116, Article 44, 20 p. (2018). MSC: 68W20 05C15 05D40 60C05 68Q87 68R10 PDFBibTeX XMLCite \textit{F. Iliopoulos}, LIPIcs -- Leibniz Int. Proc. Inform. 116, Article 44, 20 p. (2018; Zbl 1522.68743) Full Text: DOI arXiv
Xiao, Yongshun; Falzon, Lucia The correlation of the degrees of Bernoulli random graphs. (English) Zbl 1428.60021 Far East J. Appl. Math. 99, No. 1, 13-87 (2018). MSC: 60B99 05C80 PDFBibTeX XMLCite \textit{Y. Xiao} and \textit{L. Falzon}, Far East J. Appl. Math. 99, No. 1, 13--87 (2018; Zbl 1428.60021) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle E. T. Semicircular-like, and semicircular laws induced by certain \(C^*\)-probability spaces over the finite adele ring \(A_{\mathbb{Q}}\). (English) Zbl 1409.46039 Alpay, Daniel (ed.) et al., Indefinite inner product spaces, Schur analysis, and differential equations. A volume dedicated to Heinz Langer. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 263, 237-280 (2018). MSC: 46L54 05E15 11G15 11R47 11R56 46L10 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Oper. Theory: Adv. Appl. 263, 237--280 (2018; Zbl 1409.46039) Full Text: DOI
Cho, Ilwoo Adelic analysis and functional analysis on the finite adele ring. (English) Zbl 1409.46038 Opusc. Math. 38, No. 2, 139-185 (2018). MSC: 46L54 05E15 11G15 11R47 11R56 46L10 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 38, No. 2, 139--185 (2018; Zbl 1409.46038) Full Text: DOI
Tarrago, Pierre; Weber, Moritz Unitary easy quantum groups: the free case and the group case. (English) Zbl 1404.20039 Int. Math. Res. Not. 2017, No. 18, 5710-5750 (2017). MSC: 20G42 46L89 05A18 16T20 17B37 46L54 PDFBibTeX XMLCite \textit{P. Tarrago} and \textit{M. Weber}, Int. Math. Res. Not. 2017, No. 18, 5710--5750 (2017; Zbl 1404.20039) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle E. T. Semicircular elements induced by \(p\)-adic number fields. (English) Zbl 1398.11144 Opusc. Math. 37, No. 5, 665-703 (2017). MSC: 11S80 05E15 46L10 46L54 47L30 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Opusc. Math. 37, No. 5, 665--703 (2017; Zbl 1398.11144) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle E. T. Free products of \(C^*\)-probability spaces from \(p\)-adic Hecke algebras. (English) Zbl 1392.46049 Colombo, Fabrizio (ed.) et al., Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay’s 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer (ISBN 978-3-319-62361-0/hbk; 978-3-319-62362-7/ebook). Trends in Mathematics, 55-99 (2017). MSC: 46L54 05E15 11R56 46L10 46L09 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, in: Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay's 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer. 55--99 (2017; Zbl 1392.46049) Full Text: DOI
Cho, Ilwoo Matrices induced by arithmetic functions acting on certain Krein spaces. (English) Zbl 1380.05197 Spec. Matrices 5, 258-289 (2017). MSC: 05E15 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Spec. Matrices 5, 258--289 (2017; Zbl 1380.05197) Full Text: DOI
Cho, Ilwoo Free probability on \(W^{*}\)-dynamical systems determined by \(GL_{2}(\mathbb {Q} _{p})\): generalized Hecke algebras. (English) Zbl 1392.46048 Boll. Unione Mat. Ital. 10, No. 4, 725-764 (2017). MSC: 46L54 05E15 46L10 46L40 11R56 11R99 46L55 PDFBibTeX XMLCite \textit{I. Cho}, Boll. Unione Mat. Ital. 10, No. 4, 725--764 (2017; Zbl 1392.46048) Full Text: DOI
Boutillier, Cédric; Bouttier, Jérémie; Chapuy, Guillaume; Corteel, Sylvie; Ramassamy, Sanjay Dimers on rail yard graphs. (English) Zbl 1391.82008 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 4, No. 4, 479-539 (2017). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 05A15 05E05 60C05 60K35 PDFBibTeX XMLCite \textit{C. Boutillier} et al., Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 4, No. 4, 479--539 (2017; Zbl 1391.82008) Full Text: DOI arXiv
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. (English) Zbl 1373.52009 Geom. Funct. Anal. 27, No. 4, 880-918 (2017). MSC: 52A22 60D05 60G50 60G09 52A23 52A55 52C35 20F55 05C81 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., Geom. Funct. Anal. 27, No. 4, 880--918 (2017; Zbl 1373.52009) Full Text: DOI arXiv
Cho, Ilwoo Non-factorizable \(\mathbb{C}\)-valued functions induced by finite connected graphs. (English) Zbl 1368.05157 Opusc. Math. 37, No. 2, 225-263 (2017). MSC: 05E15 11G15 11R47 11R56 46L10 46L40 46L54 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 37, No. 2, 225--263 (2017; Zbl 1368.05157) Full Text: DOI
Kong, Yong The \(m\)th longest runs of multivariate random sequences. (English) Zbl 1398.60022 Ann. Inst. Stat. Math. 69, No. 3, 497-512 (2017). MSC: 60C05 62E15 05A15 PDFBibTeX XMLCite \textit{Y. Kong}, Ann. Inst. Stat. Math. 69, No. 3, 497--512 (2017; Zbl 1398.60022) Full Text: DOI
Cho, Ilwoo Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\). (English) Zbl 1359.05138 Complex Anal. Oper. Theory 11, No. 3, 507-565 (2017). MSC: 05E15 11G15 11R47 11R56 46L10 46L54 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 11, No. 3, 507--565 (2017; Zbl 1359.05138) Full Text: DOI
Hirsch, Christian From heavy-tailed Boolean models to scale-free Gilbert graphs. (English) Zbl 1380.60087 Braz. J. Probab. Stat. 31, No. 1, 111-143 (2017). MSC: 60K35 05C80 60D05 60G55 PDFBibTeX XMLCite \textit{C. Hirsch}, Braz. J. Probab. Stat. 31, No. 1, 111--143 (2017; Zbl 1380.60087) Full Text: DOI arXiv Euclid
Cho, Ilwoo; Jorgensen, Palle E. T. Krein-space operators determined by free product algebras induced by primes and graphs. (English) Zbl 1358.05309 Spec. Matrices 5, 1-35 (2017). MSC: 05E15 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Spec. Matrices 5, 1--35 (2017; Zbl 1358.05309) Full Text: DOI
Abért, Miklós (ed.); Gaboriau, Damien (ed.); Thom, Andreas (ed.) Measured group theory. Abstracts from the workshop held August 28 – September 3, 2016. (English) Zbl 1380.00020 Oberwolfach Rep. 13, No. 3, 2347-2397 (2016). MSC: 00B05 00B25 05C25 20E05 20E26 20F69 22D40 22E15 22E40 37A20 37A50 20-06 22-06 37-06 PDFBibTeX XMLCite \textit{M. Abért} (ed.) et al., Oberwolfach Rep. 13, No. 3, 2347--2397 (2016; Zbl 1380.00020) Full Text: DOI
Cho, Ilwoo; Gillespie, Timothy; Jorgensen, Palle E. T. Asymptotic free probability for arithmetic functions and factorization of Dirichlet series. (English) Zbl 1353.05126 Anal. Math. Phys. 6, No. 3, 255-295 (2016). MSC: 05E15 11G15 11R04 11R09 11R47 11R56 46L54 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho} et al., Anal. Math. Phys. 6, No. 3, 255--295 (2016; Zbl 1353.05126) Full Text: DOI
Cho, Ilwoo Factorization of \(\mathbb C\)-valued functions induced by graphs. (English) Zbl 1353.05125 Complex Anal. Oper. Theory 10, No. 7, 1453-1499 (2016). MSC: 05E15 05C20 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 10, No. 7, 1453--1499 (2016; Zbl 1353.05125) Full Text: DOI
Guionnet, Alice Free analysis and random matrices. (English) Zbl 1350.15023 Jpn. J. Math. (3) 11, No. 1, 33-68 (2016). MSC: 15B52 46L54 05A15 60B20 81V19 PDFBibTeX XMLCite \textit{A. Guionnet}, Jpn. J. Math. (3) 11, No. 1, 33--68 (2016; Zbl 1350.15023) Full Text: DOI Link
Mou, Jinping; Ge, Huafeng Adaptive consensus of scale-free multi-agent system by randomly selecting links. (English) Zbl 1338.93030 Int. J. Control 89, No. 6, 1240-1247 (2016). MSC: 93A14 93C40 68T42 05C90 PDFBibTeX XMLCite \textit{J. Mou} and \textit{H. Ge}, Int. J. Control 89, No. 6, 1240--1247 (2016; Zbl 1338.93030) Full Text: DOI
Cho, Ilwoo Free probability on Hecke algebras and certain group \(C^{*}\)-algebras induced by Hecke algebras. (English) Zbl 1339.05426 Opusc. Math. 36, No. 2, 153-187 (2016). MSC: 05E15 05E10 11R47 46L54 47L15 47L55 20C08 46L05 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 36, No. 2, 153--187 (2016; Zbl 1339.05426) Full Text: DOI
Cho, Ilwoo Certain group dynamical systems induced by Hecke algebras. (English) Zbl 1335.05213 Opusc. Math. 36, No. 3, 337-373 (2016). MSC: 05E15 11R47 46L10 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 36, No. 3, 337--373 (2016; Zbl 1335.05213) Full Text: DOI
Cho, Ilwoo Representations and corresponding operators induced by Hecke algebras. (English) Zbl 1332.05152 Complex Anal. Oper. Theory 10, No. 3, 437-477 (2016). MSC: 05E15 05E10 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 10, No. 3, 437--477 (2016; Zbl 1332.05152) Full Text: DOI
Cébron, Guillaume; Weber, Moritz Quantum groups based on spatial partitions. arXiv:1609.02321 Preprint, arXiv:1609.02321 [math.QA] (2016). MSC: 20G42 05A18 05E10 46L54 BibTeX Cite \textit{G. Cébron} and \textit{M. Weber}, ``Quantum groups based on spatial partitions'', Preprint, arXiv:1609.02321 [math.QA] (2016) Full Text: arXiv OA License
Cho, Ilwoo; Gillespie, Timothy L. Free probability on Hecke algebras. (English) Zbl 1325.11127 Complex Anal. Oper. Theory 9, No. 7, 1491-1531 (2015). MSC: 46L54 05E15 46L10 46L40 46L53 47L55 47S10 PDFBibTeX XMLCite \textit{I. Cho} and \textit{T. L. Gillespie}, Complex Anal. Oper. Theory 9, No. 7, 1491--1531 (2015; Zbl 1325.11127) Full Text: DOI
Bożejko, Marek; Bożejko, Wojciech Generalized Gaussian processes and relations with random matrices and positive definite functions on permutation groups. (English) Zbl 1341.46038 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 3, Article ID 1550020, 19 p. (2015). MSC: 46L54 05C30 60G20 PDFBibTeX XMLCite \textit{M. Bożejko} and \textit{W. Bożejko}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 3, Article ID 1550020, 19 p. (2015; Zbl 1341.46038) Full Text: arXiv
Resnick, Sidney; Samorodnitsky, Gennady Tauberian theory for multivariate regularly varying distributions with application to preferential attachment networks. (English) Zbl 1345.60118 Extremes 18, No. 3, 349-367 (2015). MSC: 60K35 60E05 60E10 05C80 60G70 PDFBibTeX XMLCite \textit{S. Resnick} and \textit{G. Samorodnitsky}, Extremes 18, No. 3, 349--367 (2015; Zbl 1345.60118) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle E. T. Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs. (English) Zbl 1319.05150 Spec. Matrices 3, 123-154 (2015). MSC: 05E18 05E15 05C20 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Spec. Matrices 3, 123--154 (2015; Zbl 1319.05150) Full Text: DOI
Bufetov, Alexey; Gorin, Vadim Representations of classical Lie groups and quantized free convolution. (English) Zbl 1326.22012 Geom. Funct. Anal. 25, No. 3, 763-814 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E45 05E10 60B20 60C05 PDFBibTeX XMLCite \textit{A. Bufetov} and \textit{V. Gorin}, Geom. Funct. Anal. 25, No. 3, 763--814 (2015; Zbl 1326.22012) Full Text: DOI arXiv Link
Cho, Ilwoo \(\mathbb C\)-valued functions induced by graphs. (English) Zbl 1314.05228 Complex Anal. Oper. Theory 9, No. 3, 519-565 (2015). MSC: 05E15 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 9, No. 3, 519--565 (2015; Zbl 1314.05228) Full Text: DOI
Cho, Ilwoo Dynamical systems on arithmetic functions determined by primes. (English) Zbl 1332.46066 Banach J. Math. Anal. 9, No. 1, 173-215 (2015). MSC: 46L54 05E15 11R47 46L40 47L15 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Banach J. Math. Anal. 9, No. 1, 173--215 (2015; Zbl 1332.46066) Full Text: DOI Euclid
Cho, Ilwoo; Jorgensen, Palle E. T. Krein-space representations of arithmetic functions determined by primes. (English) Zbl 1305.05233 Algebr. Represent. Theory 17, No. 6, 1809-1841 (2014). MSC: 05E15 05E10 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Algebr. Represent. Theory 17, No. 6, 1809--1841 (2014; Zbl 1305.05233) Full Text: DOI
Raum, Sven; Weber, Moritz The combinatorics of an algebraic class of easy quantum groups. (English) Zbl 1310.46062 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450016, 17 p. (2014). MSC: 46L65 46L54 05E10 16T30 17B37 PDFBibTeX XMLCite \textit{S. Raum} and \textit{M. Weber}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450016, 17 p. (2014; Zbl 1310.46062) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle Actions of arithmetic functions on matrices and corresponding representations. (English) Zbl 1309.46037 Ann. Funct. Anal. 5, No. 2, 90-117 (2014). MSC: 46L53 46L54 47L15 47L30 47L55 05E15 46L10 46L40 11N99 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. Jorgensen}, Ann. Funct. Anal. 5, No. 2, 90--117 (2014; Zbl 1309.46037) Full Text: DOI EMIS
Buck, Travis G.; Godbole, Anant P. Size-maximal symmetric difference-free families of subsets of \([n]\). (English) Zbl 1295.05248 Graphs Comb. 30, No. 1, 101-108 (2014). MSC: 05D05 05C65 05A05 05C75 05C35 60C05 PDFBibTeX XMLCite \textit{T. G. Buck} and \textit{A. P. Godbole}, Graphs Comb. 30, No. 1, 101--108 (2014; Zbl 1295.05248) Full Text: DOI arXiv
Cho, Ilwoo Free distributional data of arithmetic functions and corresponding generating functions determined by gaps between primes. (English) Zbl 1332.46065 Complex Anal. Oper. Theory 8, No. 2, 537-570 (2014). MSC: 46L54 05E15 11R56 46L10 46L40 46L53 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 8, No. 2, 537--570 (2014; Zbl 1332.46065) Full Text: DOI
Śniady, Piotr Combinatorics of asymptotic representation theory. (English) Zbl 1364.20006 Latała, Rafał (ed.) et al., European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2–7 July, 2012. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-120-0/hbk). 531-545 (2013). MSC: 20C30 05E10 46L54 PDFBibTeX XMLCite \textit{P. Śniady}, in: European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2--7 July, 2012. Zürich: European Mathematical Society (EMS). 531--545 (2013; Zbl 1364.20006) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle E. T. Krein-space operators induced by Dirichlet characters. (English) Zbl 1322.11065 Mayeli, Azita (ed.) et al., Commutative and noncommutative harmonic analysis and applications. AMS special session in memory of Daryl Geller on wavelet and frame theoretic methods in harmonic analysis and partial differential equations, Rochester, NY, USA, September 22–23, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9493-4/pbk; 978-1-4704-1106-0/ebook). Contemporary Mathematics 603, 3-33 (2013). MSC: 11G15 05E15 11R04 11K70 46L54 47L30 11R09 11R47 42B35 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Contemp. Math. 603, 3--33 (2013; Zbl 1322.11065) Full Text: DOI
Weber, Moritz On the classification of easy quantum groups. (English) Zbl 1286.46069 Adv. Math. 245, 500-533 (2013). MSC: 46L54 17B37 16T30 05E10 20G42 PDFBibTeX XMLCite \textit{M. Weber}, Adv. Math. 245, 500--533 (2013; Zbl 1286.46069) Full Text: DOI arXiv
Bassino, Frédérique; Martino, Armando; Nicaud, Cyril; Ventura, Enric; Weil, Pascal Statistical properties of subgroups of free groups. (English) Zbl 1292.20029 Random Struct. Algorithms 42, No. 3, 349-373 (2013). Reviewer: Bruno Zimmermann (Trieste) MSC: 20E05 20E07 20F05 20P05 05C25 60C05 PDFBibTeX XMLCite \textit{F. Bassino} et al., Random Struct. Algorithms 42, No. 3, 349--373 (2013; Zbl 1292.20029) Full Text: DOI Link
Friedrich, Roland M.; McKay, John Almost Commutative Probability Theory. arXiv:1309.6194 Preprint, arXiv:1309.6194 [math.PR] (2013). MSC: 46L54 14L17 05E10 BibTeX Cite \textit{R. M. Friedrich} and \textit{J. McKay}, ``Almost Commutative Probability Theory'', Preprint, arXiv:1309.6194 [math.PR] (2013) Full Text: arXiv OA License
Cho, Ilwoo Operators induced by prime numbers. (English) Zbl 1332.46064 Methods Appl. Anal. 19, No. 4, 313-340 (2012). MSC: 46L54 05E15 11R56 46L10 46L40 46L53 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Methods Appl. Anal. 19, No. 4, 313--340 (2012; Zbl 1332.46064) Full Text: DOI
Bożejko, Marek Deformed Fock spaces, Hecke operators and monotone Fock space of Muraki. (English) Zbl 1263.46052 Demonstr. Math. 45, No. 2, 399-413 (2012). MSC: 46L54 05C30 PDFBibTeX XMLCite \textit{M. Bożejko}, Demonstr. Math. 45, No. 2, 399--413 (2012; Zbl 1263.46052)
Redelmeier, C. Emily I. Appendix to ”Real second-order freeness and the asymptotic real second-order freeness of several real matrix models”: Examples and Diagrams. arXiv:1204.6211 Preprint, arXiv:1204.6211 [math.PR] (2012). MSC: 15B52 46L54 05C10 BibTeX Cite \textit{C. E. I. Redelmeier}, ``Appendix to "Real second-order freeness and the asymptotic real second-order freeness of several real matrix models": Examples and Diagrams'', Preprint, arXiv:1204.6211 [math.PR] (2012) Full Text: arXiv OA License
Abdesselam, Abdelmalek; Anderson, Greg W. Counting colored planar maps free-probabilistically. arXiv:1203.3185 Preprint, arXiv:1203.3185 [math.PR] (2012). MSC: 05C10 46L54 60B20 81T08 82B20 BibTeX Cite \textit{A. Abdesselam} and \textit{G. W. Anderson}, ``Counting colored planar maps free-probabilistically'', Preprint, arXiv:1203.3185 [math.PR] (2012) Full Text: arXiv OA License
Jorgensen, Palle E. T.; Cho, Ilwoo Symmetry in tensor algebras over Hilbert space. (English) Zbl 1268.05234 Ill. J. Math. 55, No. 3, 977-1013 (2011). MSC: 05E18 11F70 37C45 37C80 46L54 47L30 47L90 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{I. Cho}, Ill. J. Math. 55, No. 3, 977--1013 (2011; Zbl 1268.05234) Full Text: Euclid
Mosina, Natalia; Ushakov, Alexander Strong law of large numbers on graphs and groups. (English) Zbl 1246.60012 Groups Complex. Cryptol. 3, No. 1, 67-103 (2011). Reviewer: Ove Frank (Stockholm) MSC: 60B15 20P05 05C12 05C25 PDFBibTeX XMLCite \textit{N. Mosina} and \textit{A. Ushakov}, Groups Complex. Cryptol. 3, No. 1, 67--103 (2011; Zbl 1246.60012) Full Text: DOI arXiv
Novak, Jonathan; Śniady, Piotr What is …a free cumulant? (English) Zbl 1292.05034 Notices Am. Math. Soc. 58, No. 2, 300-301 (2011). MSC: 05A15 05D05 46L54 PDFBibTeX XMLCite \textit{J. Novak} and \textit{P. Śniady}, Notices Am. Math. Soc. 58, No. 2, 300--301 (2011; Zbl 1292.05034) Full Text: Link
Belinschi, Serban T.; Bożejko, Marek; Lehner, Franz; Speicher, Roland The normal distribution is \(\boxplus\)-infinitely divisible. (English) Zbl 1226.46059 Adv. Math. 226, No. 4, 3677-3698 (2011). Reviewer: Stephen Curran (Los Angeles) MSC: 46L54 05C30 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Adv. Math. 226, No. 4, 3677--3698 (2011; Zbl 1226.46059) Full Text: DOI arXiv
Lehner, Franz A noncrossing basis for noncommutative invariants of \(SL(2, \mathbb C)\). (English) Zbl 1231.05285 J. Comb. Theory, Ser. A 118, No. 1, 257-269 (2011). MSC: 05E10 20C30 PDFBibTeX XMLCite \textit{F. Lehner}, J. Comb. Theory, Ser. A 118, No. 1, 257--269 (2011; Zbl 1231.05285) Full Text: DOI arXiv
Lassalle, Michel Jack polynomials and free cumulants. (English) Zbl 1228.05292 Adv. Math. 222, No. 6, 2227-2269 (2009). MSC: 05E05 05E10 33C52 46L54 PDFBibTeX XMLCite \textit{M. Lassalle}, Adv. Math. 222, No. 6, 2227--2269 (2009; Zbl 1228.05292) Full Text: DOI arXiv
Guionnet, Alice; Shlyakhtenko, Dimitri Free diffusions and matrix models with strictly convex interaction. (English) Zbl 1187.46056 Geom. Funct. Anal. 18(2008), No. 6, 1875-1916 (2009). Reviewer: Isamu Dôku (Saitama) MSC: 46L54 46L53 46L37 15B52 05C30 60B20 PDFBibTeX XMLCite \textit{A. Guionnet} and \textit{D. Shlyakhtenko}, Geom. Funct. Anal. 18, No. 6, 1875--1916 (2009; Zbl 1187.46056) Full Text: DOI arXiv
Bożejko, Marek; Bryc, Włodzimierz A quadratic regression problem for two-state algebras with an application to the central limit theorem. (English) Zbl 1183.46062 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 2, 231-249 (2009). MSC: 46L54 46L53 60E05 05A18 PDFBibTeX XMLCite \textit{M. Bożejko} and \textit{W. Bryc}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 2, 231--249 (2009; Zbl 1183.46062) Full Text: DOI arXiv
Sheridan, Paul; Yagahara, Yuichi; Shimodaira, Hidetoshi A preferential attachment model with Poisson growth for scale-free networks. (English) Zbl 1294.60011 Ann. Inst. Stat. Math. 60, No. 4, 747-761 (2008). MSC: 60C05 05C90 62E15 PDFBibTeX XMLCite \textit{P. Sheridan} et al., Ann. Inst. Stat. Math. 60, No. 4, 747--761 (2008; Zbl 1294.60011) Full Text: DOI arXiv
Liang, Song; Obata, Nobuaki; Takahashi, Shuji Asymptotic spectral analysis of generalized Erdős-Rényi random graphs. (English) Zbl 1132.05058 Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 211-229 (2008). MSC: 05C80 05C50 46L53 60F05 68R10 94C15 PDFBibTeX XMLCite \textit{S. Liang} et al., Banach Cent. Publ. 78, 211--229 (2008; Zbl 1132.05058)
Caines, Peter E.; Wynn, Henry P. An algebraic framework for Bayes nets of time series. (English) Zbl 1127.62075 Chiuso, Alessandro (ed.) et al., Modeling, estimation and control. Festschrift in honor of Giorgio Picci on the occasion of his sixty-fifth birthday. Papers presented at the symposium, venice, Italy, October 4–5, 2007. Berlin: Springer (ISBN 978-3-540-73569-4/pbk). Lecture Notes in Control and Information Sciences 364, 45-57 (2007). MSC: 62M10 62F15 05C90 46N30 PDFBibTeX XMLCite \textit{P. E. Caines} and \textit{H. P. Wynn}, Lect. Notes Control Inf. Sci. 364, 45--57 (2007; Zbl 1127.62075)
Cho, Ilwoo Characterization of amalgamated free blocks of a graph von Neumann algebra. (English) Zbl 1129.46050 Complex Anal. Oper. Theory 1, No. 3, 367-398 (2007). MSC: 46L10 46L53 20L05 05C20 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 1, No. 3, 367--398 (2007; Zbl 1129.46050) Full Text: DOI
Yukich, J. E. Ultra-small scale-free geometric networks. (English) Zbl 1120.60095 J. Appl. Probab. 43, No. 3, 665-677 (2006). MSC: 60K35 60D05 05C80 PDFBibTeX XMLCite \textit{J. E. Yukich}, J. Appl. Probab. 43, No. 3, 665--677 (2006; Zbl 1120.60095) Full Text: DOI
Hora, Akihito Jucys-Murphy element and walks on modified Young graph. (English) Zbl 1107.20061 Bożejko, Marek (ed.) et al., Quantum probability. Papers presented at the 25th QP conference on quantum probability and related topics, Będlewo, Poland, June 20–26, 2004. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 73, 223-235 (2006). MSC: 20P05 20C30 05E10 60F05 60B15 PDFBibTeX XMLCite \textit{A. Hora}, Banach Cent. Publ. 73, 223--235 (2006; Zbl 1107.20061) Full Text: Link
Śniady, Piotr Gaussian fluctuations of characters of symmetric groups and of Young diagrams. (English) Zbl 1104.46035 Probab. Theory Relat. Fields 136, No. 2, 263-297 (2006). MSC: 46L53 46L54 60B15 20P05 05E10 20C30 PDFBibTeX XMLCite \textit{P. Śniady}, Probab. Theory Relat. Fields 136, No. 2, 263--297 (2006; Zbl 1104.46035) Full Text: DOI arXiv
Anshelevich, Michael; Effros, Edward G.; Popa, Mihai Zimmermann type cancellation in the free Faà di Bruno algebra. (English) Zbl 1123.05095 J. Funct. Anal. 237, No. 1, 76-104 (2006). Reviewer: Maria Joiţa (Bucureşti) MSC: 05E99 57T05 46L54 16W30 81T15 PDFBibTeX XMLCite \textit{M. Anshelevich} et al., J. Funct. Anal. 237, No. 1, 76--104 (2006; Zbl 1123.05095) Full Text: DOI arXiv
Śniady, Piotr Asymptotics of characters of symmetric groups, genus expansion and free probability. (English) Zbl 1096.20016 Discrete Math. 306, No. 7, 624-665 (2006). Reviewer: John D. Dixon (Ottawa) MSC: 20C30 05E10 60B15 PDFBibTeX XMLCite \textit{P. Śniady}, Discrete Math. 306, No. 7, 624--665 (2006; Zbl 1096.20016) Full Text: DOI arXiv
Li, Lun; Alderson, David; Doyle, John C.; Willinger, Walter Towards a theory of scale-free graphs: definition, properties, and implications. (English) Zbl 1103.05082 Internet Math. 2, No. 4, 431-523 (2005). MSC: 05C80 60C05 05C07 68R10 68M10 PDFBibTeX XMLCite \textit{L. Li} et al., Internet Math. 2, No. 4, 431--523 (2005; Zbl 1103.05082) Full Text: DOI
Wysoczański, Janusz A \(d\)-deformation of free Gaussian random variables. (English) Zbl 1083.60011 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 4, 669-680 (2005). Reviewer: Isamu Dôku (Saitama) MSC: 60E05 47N99 05E99 PDFBibTeX XMLCite \textit{J. Wysoczański}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 4, 669--680 (2005; Zbl 1083.60011) Full Text: DOI
Oravecz, Ferenc Minimality of the Boolean and the Fermi convolutions. (English) Zbl 1143.05301 Interdiscip. Inf. Sci. 10, No. 1, 59-67 (2004). MSC: 05A17 46L54 46N50 60E05 81S25 PDFBibTeX XMLCite \textit{F. Oravecz}, Interdiscip. Inf. Sci. 10, No. 1, 59--67 (2004; Zbl 1143.05301) Full Text: DOI Link
Philippe, Leroux Free dendriform dialgebras: reformulation and application in free probability. Part I. arXiv:math/0408348 Preprint, arXiv:math/0408348 [math.CO] (2004). MSC: 05C05 06A07 11A99 46L54 BibTeX Cite \textit{L. Philippe}, ``Free dendriform dialgebras: reformulation and application in free probability. Part I'', Preprint, arXiv:math/0408348 [math.CO] (2004) Full Text: arXiv
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G. Growth series and random walks on some hyperbolic graphs. (English) Zbl 1059.20035 Monatsh. Math. 136, No. 3, 181-202 (2002). MSC: 20F65 20F05 05C25 60B15 60G50 68Q42 68Q45 20E06 PDFBibTeX XMLCite \textit{L. Bartholdi} and \textit{T. G. Ceccherini-Silberstein}, Monatsh. Math. 136, No. 3, 181--202 (2002; Zbl 1059.20035) Full Text: DOI arXiv
Biane, P. Free probability and combinatorics. (English) Zbl 1003.46035 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 765-774 (2002). Reviewer: Catalin Badea (Villeneuve d’Ascq) MSC: 46L54 05E10 60B15 PDFBibTeX XMLCite \textit{P. Biane}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 765--774 (2002; Zbl 1003.46035) Full Text: arXiv