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
Diehl, Joscha; Preiß, Rosa; Ruddy, Michael; Tapia, Nikolas The moving-frame method for the iterated-integrals signature: orthogonal invariants. (English) Zbl 07735212 Found. Comput. Math. 23, No. 4, 1273-1333 (2023). MSC: 14Q30 14L24 16T05 17B01 22E60 53A04 60L10 PDFBibTeX XMLCite \textit{J. Diehl} et al., Found. Comput. Math. 23, No. 4, 1273--1333 (2023; Zbl 07735212) Full Text: DOI arXiv
Collins, Benoît; Lamarre, Pierre Yves Gaudreau; Male, Camille Asymptotic freeness of unitary matrices in tensor product spaces for invariant states. (English) Zbl 1518.60008 Random Matrices Theory Appl. 12, No. 2, Article ID 2250052, 39 p. (2023). MSC: 60B20 46L54 60B15 PDFBibTeX XMLCite \textit{B. Collins} et al., Random Matrices Theory Appl. 12, No. 2, Article ID 2250052, 39 p. (2023; Zbl 1518.60008) Full Text: DOI arXiv
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
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
Baraquin, Isabelle; Cébron, Guillaume; Franz, Uwe; Maassen, Laura; Weber, Moritz De Finetti theorems for the unitary dual group. (English) Zbl 1507.46043 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 067, 29 p. (2022). MSC: 46L54 46L65 60G09 PDFBibTeX XMLCite \textit{I. Baraquin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 067, 29 p. (2022; Zbl 1507.46043) Full Text: DOI arXiv
Latifi, Mohammad Javad; Pickrell, Doug Exponential of the \(S^1\) trace of the free field and Verblunsky coefficients. (English) Zbl 1493.60015 Rocky Mt. J. Math. 52, No. 3, 899-924 (2022). MSC: 60B20 60B12 60B15 PDFBibTeX XMLCite \textit{M. J. Latifi} and \textit{D. Pickrell}, Rocky Mt. J. Math. 52, No. 3, 899--924 (2022; Zbl 1493.60015) Full Text: DOI arXiv Link
Athreya, Siva; Bandyopadhyay, Antar; Dasgupta, Amites; Sahasrabudhe, Neeraja SLLN and annealed CLT for random walks in I.I.D. random environment on Cayley trees. (English) Zbl 1492.60050 Stochastic Processes Appl. 146, 80-97 (2022). MSC: 60F05 05C81 60J10 60K37 PDFBibTeX XMLCite \textit{S. Athreya} et al., Stochastic Processes Appl. 146, 80--97 (2022; Zbl 1492.60050) Full Text: DOI arXiv
Brodsky, Yaron Word Measures on Unitary Groups: Improved Bounds for Small Representations. arXiv:2208.11957 Preprint, arXiv:2208.11957 [math.GT] (2022). MSC: 60B20 20E05 28C10 22E30 22C05 68R15 57M50 57M07 20F65 BibTeX Cite \textit{Y. Brodsky}, ``Word Measures on Unitary Groups: Improved Bounds for Small Representations'', Preprint, arXiv:2208.11957 [math.GT] (2022) Full Text: arXiv OA License
Puder, Doron; Zimhoni, Tomer Local Statistics of Random Permutations from Free Products. arXiv:2203.12250 Preprint, arXiv:2203.12250 [math.GR] (2022). MSC: 20E06 20B30 20P05 20F65 20E26 60B15 BibTeX Cite \textit{D. Puder} and \textit{T. Zimhoni}, ``Local Statistics of Random Permutations from Free Products'', Preprint, arXiv:2203.12250 [math.GR] (2022) Full Text: arXiv OA License
Le Donne, Enrico; Züst, Roger Space of signatures as inverse limits of Carnot groups. (English) Zbl 1494.22007 ESAIM, Control Optim. Calc. Var. 27, Paper No. 37, 14 p. (2021). Reviewer: Isamu Dôku (Saitama) MSC: 22E25 53C17 49Q15 28A75 60H05 PDFBibTeX XMLCite \textit{E. Le Donne} and \textit{R. Züst}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 37, 14 p. (2021; Zbl 1494.22007) Full Text: DOI arXiv
Demni, Nizar; Hamdi, Tarek Schur-Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion. (English) Zbl 1519.46047 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 1, Article ID 2150002, 18 p. (2021). Reviewer: Isamu Dôku (Saitama) MSC: 46L54 47B15 60H10 60B20 15B52 PDFBibTeX XMLCite \textit{N. Demni} and \textit{T. Hamdi}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 1, Article ID 2150002, 18 p. (2021; Zbl 1519.46047) Full Text: DOI arXiv
Lyons, Russell; Peres, Yuval Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture. (English) Zbl 07357346 J. Eur. Math. Soc. (JEMS) 23, No. 4, 1133-1160 (2021). MSC: 20F69 60B15 60J50 43A05 20F65 PDFBibTeX XMLCite \textit{R. Lyons} and \textit{Y. Peres}, J. Eur. Math. Soc. (JEMS) 23, No. 4, 1133--1160 (2021; Zbl 07357346) Full Text: DOI arXiv
Magee, Michael; Puder, Doron Surface words are determined by word measures on groups. (English) Zbl 1480.20104 Isr. J. Math. 241, No. 2, 749-774 (2021). Reviewer: Enrico Jabara (Venezia) MSC: 20F65 20F10 20E05 46L54 60B15 20P05 20F36 PDFBibTeX XMLCite \textit{M. Magee} and \textit{D. Puder}, Isr. J. Math. 241, No. 2, 749--774 (2021; Zbl 1480.20104) Full Text: DOI arXiv
Gilch, Lorenz A. Asymptotic word length of random walks on HNN extensions. (English) Zbl 1465.60066 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 509-545 (2021). MSC: 60J10 20E06 20F10 PDFBibTeX XMLCite \textit{L. A. Gilch}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 509--545 (2021; Zbl 1465.60066) Full Text: arXiv Link
Ejsmont, Wiktor Poisson type operators on the Fock space of type \(B\) and in the Blitvić model. (English) Zbl 1513.46124 J. Oper. Theory 84, No. 1, 67-97 (2020). MSC: 46L53 20F55 46L54 60H40 PDFBibTeX XMLCite \textit{W. Ejsmont}, J. Oper. Theory 84, No. 1, 67--97 (2020; Zbl 1513.46124) Full Text: arXiv
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
Hora, Akihito Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams. (English) Zbl 1446.82068 Electron. J. Probab. 25, Paper No. 70, 21 p. (2020). MSC: 82C41 46L54 20C30 60J27 PDFBibTeX XMLCite \textit{A. Hora}, Electron. J. Probab. 25, Paper No. 70, 21 p. (2020; Zbl 1446.82068) Full Text: DOI arXiv Euclid
Choi, Jae Gil; Skoug, David Algebraic structure of the \(L_2\) analytic Fourier-Feynman transform associated with Gaussian paths on Wiener space. (English) Zbl 1444.42005 Commun. Pure Appl. Anal. 19, No. 7, 3829-3842 (2020). Reviewer: Virender Dalal (Delhi) MSC: 42A38 28C20 60G15 60J65 46B09 46G12 PDFBibTeX XMLCite \textit{J. G. Choi} and \textit{D. Skoug}, Commun. Pure Appl. Anal. 19, No. 7, 3829--3842 (2020; Zbl 1444.42005) Full Text: DOI
Hanany, Liam; Meiri, Chen; Puder, Doron Some orbits of free words that are determined by measures on finite groups. (English) Zbl 1476.20025 J. Algebra 555, 305-324 (2020). MSC: 20E05 20E18 20F10 20P05 60B15 PDFBibTeX XMLCite \textit{L. Hanany} et al., J. Algebra 555, 305--324 (2020; Zbl 1476.20025) Full Text: DOI arXiv
Freslon, Amaury Cut-off phenomenon for random walks on free orthogonal quantum groups. (English) Zbl 1432.46049 Probab. Theory Relat. Fields 174, No. 3-4, 731-760 (2019). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 60J05 46L67 PDFBibTeX XMLCite \textit{A. Freslon}, Probab. Theory Relat. Fields 174, No. 3--4, 731--760 (2019; Zbl 1432.46049) Full Text: DOI arXiv
Améndola, Carlos; Friz, Peter; Sturmfels, Bernd Varieties of signature tensors. (English) Zbl 1411.14068 Forum Math. Sigma 7, Paper No. e10, 54 p. (2019). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14Q15 60Hxx 17B01 22E25 PDFBibTeX XMLCite \textit{C. Améndola} et al., Forum Math. Sigma 7, Paper No. e10, 54 p. (2019; Zbl 1411.14068) Full Text: DOI arXiv
Kenison, George; Sharp, Richard Statistics in conjugacy classes in free groups. (English) Zbl 1515.20228 Geom. Dedicata 198, 57-70 (2019). MSC: 20F65 20F67 20F69 37C30 37D35 60B10 20E05 PDFBibTeX XMLCite \textit{G. Kenison} and \textit{R. Sharp}, Geom. Dedicata 198, 57--70 (2019; Zbl 1515.20228) Full Text: DOI arXiv
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. (English) Zbl 1442.60021 Bernoulli 25, No. 1, 521-548 (2019). MSC: 60D05 52A22 52C35 60F05 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., Bernoulli 25, No. 1, 521--548 (2019; Zbl 1442.60021) Full Text: DOI arXiv Euclid
Glazer, Itay; Hendel, Yotam I. On singularity properties of word maps and applications to probabilistic Waring type problems. arXiv:1912.12556 Preprint, arXiv:1912.12556 [math.AG] (2019). MSC: 11P05 14B05 14B07 14G05 17B45 20F69 20G25 20P05 60B15 03C98 11G25 17B01 20E18 20G40 22E50 BibTeX Cite \textit{I. Glazer} and \textit{Y. I. Hendel}, ``On singularity properties of word maps and applications to probabilistic Waring type problems'', Preprint, arXiv:1912.12556 [math.AG] (2019) Full Text: arXiv OA License
Sarkar, Sourav; Roy, Parthanil Stable random fields indexed by finitely generated free groups. (English) Zbl 1428.60062 Ann. Probab. 46, No. 5, 2680-2714 (2018). MSC: 60G52 60G60 60G55 37A40 20E05 PDFBibTeX XMLCite \textit{S. Sarkar} and \textit{P. Roy}, Ann. Probab. 46, No. 5, 2680--2714 (2018; Zbl 1428.60062) Full Text: DOI arXiv Euclid
Park, Peter S. Probability laws for the distribution of geometric lengths when sampling by a random walk in a Fuchsian fundamental group. arXiv:1807.03775 Preprint, arXiv:1807.03775 [math.GT] (2018). MSC: 57M05 53C22 20F65 60F05 37D40 BibTeX Cite \textit{P. S. Park}, ``Probability laws for the distribution of geometric lengths when sampling by a random walk in a Fuchsian fundamental group'', Preprint, arXiv:1807.03775 [math.GT] (2018) Full Text: arXiv OA License
Fuchs, Elena; Rivin, Igor Generic thinness in finitely generated subgroups of \(\mathrm{SL}_n (\mathbb Z)\). (English) Zbl 1404.20042 Int. Math. Res. Not. 2017, No. 17, 5385-5414 (2017). MSC: 20H15 20G15 20P05 60G50 60B15 20E05 20F05 PDFBibTeX XMLCite \textit{E. Fuchs} and \textit{I. Rivin}, Int. Math. Res. Not. 2017, No. 17, 5385--5414 (2017; Zbl 1404.20042) Full Text: DOI arXiv
Haviv, Ishay; Levy, Dan Symmetric complete sum-free sets in cyclic groups. (English) Zbl 1404.11009 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 585-591 (2017). MSC: 11B13 05B10 11K31 60F15 PDFBibTeX XMLCite \textit{I. Haviv} and \textit{D. Levy}, Electron. Notes Discrete Math. 61, 585--591 (2017; Zbl 1404.11009) Full Text: DOI arXiv
Banica, Teodor; Chirvasitu, Alexandru Thoma type results for discrete quantum groups. (English) Zbl 1458.46057 Int. J. Math. 28, No. 14, Article ID 1750103, 23 p. (2017). MSC: 46L67 46L54 60B15 PDFBibTeX XMLCite \textit{T. Banica} and \textit{A. Chirvasitu}, Int. J. Math. 28, No. 14, Article ID 1750103, 23 p. (2017; Zbl 1458.46057) Full Text: DOI arXiv
Malyutin, Andrei; Nagnibeda, Tatiana; Serbin, Denis Boundaries of \(\mathbb Z^n\)-free groups. (English) Zbl 1476.20043 Ceccherini-Silberstein, Tullio (ed.) et al., Groups, graphs and random walks. Selected papers of the workshop, Cortona, Italy, June 2–6, 2014 on the occasion of the 60th birthday of Wolfgang Woess. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 436, 355-390 (2017). MSC: 20F65 37B05 60J50 20F05 20E08 60B15 PDFBibTeX XMLCite \textit{A. Malyutin} et al., Lond. Math. Soc. Lect. Note Ser. 436, 355--390 (2017; Zbl 1476.20043) 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
Glasner, Yair [Gelander, Tsachik] Invariant random subgroups of linear groups. (English) Zbl 1371.22017 Isr. J. Math. 219, No. 1, 215-270 (2017). Reviewer: Michael Stolz (Münster) MSC: 22F10 60B15 60B99 20P99 22D05 PDFBibTeX XMLCite \textit{Y. Glasner}, Isr. J. Math. 219, No. 1, 215--270 (2017; Zbl 1371.22017) Full Text: DOI arXiv
Bożejko, Marek; Ejsmont, Wiktor; Hasebe, Takahiro Noncommutative probability of type \(D\). (English) Zbl 1373.46060 Int. J. Math. 28, No. 2, Article ID 1750010, 30 p. (2017). MSC: 46L53 46L54 60G51 20F55 PDFBibTeX XMLCite \textit{M. Bożejko} et al., Int. J. Math. 28, No. 2, Article ID 1750010, 30 p. (2017; Zbl 1373.46060) Full Text: DOI arXiv
Bassino, Frédérique; Nicaud, Cyril; Weil, Pascal Generic properties of subgroups of free groups and finite presentations. (English) Zbl 1392.20017 Kahrobaei, Delaram (ed.) et al., Algebra and computer science. Joint AMS-EMS-SPM meeting algebra and computer science, Porto, Portugal, June 10–13, 2015. Joint mathematics meetings groups, algorithms, and cryptography, San Antonio, TX, USA, January 10–13, 2015. Joint AMS-Israel Mathematical Union meeting applications of algebra to cryptography, Tel-Aviv, Israel, June 16–19, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2303-2/pbk; 978-1-4704-3587-5/ebook). Contemporary Mathematics 677, 1-43 (2016). MSC: 20E05 60J10 20E07 05A16 68Q17 20F05 20P05 PDFBibTeX XMLCite \textit{F. Bassino} et al., Contemp. Math. 677, 1--43 (2016; Zbl 1392.20017) Full Text: DOI arXiv
Franz, Uwe; Kula, Anna; Skalski, Adam Lévy processes on quantum permutation groups. (English) Zbl 1368.46058 Alpay, Daniel (ed.) et al., Noncommutative analysis, operator theory and applications. Selected papers based on the presentations at the conference, Milano, Italy, June 23–27, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29114-7/hbk; 978-3-319-29116-1/ebook). Operator Theory: Advances and Applications 252. Linear Operators and Linear Systems, 193-259 (2016). MSC: 46L53 60G51 46L65 17B37 43A05 PDFBibTeX XMLCite \textit{U. Franz} et al., Oper. Theory: Adv. Appl. 252, 193--259 (2016; Zbl 1368.46058) Full Text: DOI arXiv
Friz, Peter; Gassiat, Paul Geometric foundations of rough paths. (English) Zbl 1360.58028 Barilari, Davide (ed.) et al., Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume II. Lecture notes from the IHP Trimester held at the Institut Henri Poincaré, Paris, France, and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-163-7/pbk; 978-3-03719-663-2/ebook). EMS Series of Lectures in Mathematics, 171-210 (2016). MSC: 58J65 60H10 60H25 60H30 PDFBibTeX XMLCite \textit{P. Friz} and \textit{P. Gassiat}, in: Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume II. Lecture notes from the IHP Trimester held at the Institut Henri Poincaré, Paris, France, and from the CIRM summer school ``Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion'', Luminy, France, Fall 2014. Zürich: European Mathematical Society (EMS). 171--210 (2016; Zbl 1360.58028) Full Text: Link
Kuan, Jeffrey Three-dimensional Gaussian fluctuations of non-commutative random surfaces along time-like paths. (English) Zbl 1350.81020 Adv. Math. 303, 716-744 (2016). MSC: 81S25 60G50 20C35 60J25 PDFBibTeX XMLCite \textit{J. Kuan}, Adv. Math. 303, 716--744 (2016; Zbl 1350.81020) Full Text: DOI arXiv
Bowen, Lewis; Bufetov, Alexander; Romaskevich, Olga Mean convergence of Markovian spherical averages for measure-preserving actions of the free group. (English) Zbl 1355.37011 Geom. Dedicata 181, 293-306 (2016). MSC: 37A30 22F10 20E05 60J05 PDFBibTeX XMLCite \textit{L. Bowen} et al., Geom. Dedicata 181, 293--306 (2016; Zbl 1355.37011) Full Text: DOI arXiv
Horbez, Camille The Poisson boundary of \(\mathrm{Out}(F_N)\). (English) Zbl 1401.20043 Duke Math. J. 165, No. 2, 341-369 (2016). MSC: 20F65 20E05 20E08 20E36 20F28 60B15 60J50 PDFBibTeX XMLCite \textit{C. Horbez}, Duke Math. J. 165, No. 2, 341--369 (2016; Zbl 1401.20043) Full Text: DOI arXiv Euclid
Hora, Akihito A diffusive limit for the profiles of random Young diagrams by way of free probability. (English) Zbl 1341.82065 Publ. Res. Inst. Math. Sci. 51, No. 4, 691-708 (2015). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C41 20C30 46L54 60J27 PDFBibTeX XMLCite \textit{A. Hora}, Publ. Res. Inst. Math. Sci. 51, No. 4, 691--708 (2015; Zbl 1341.82065) 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
Kapovich, Ilya; Pfaff, Catherine A train track directed random walk on \(\mathrm{Out}(F_r)\). (English) Zbl 1351.20025 Int. J. Algebra Comput. 25, No. 5, 745-798 (2015). MSC: 20F65 20E05 20E36 20F28 20P05 60G50 PDFBibTeX XMLCite \textit{I. Kapovich} and \textit{C. Pfaff}, Int. J. Algebra Comput. 25, No. 5, 745--798 (2015; Zbl 1351.20025) Full Text: DOI arXiv
Saloff-Coste, Laurent; Zheng, Tianyi Random walks on free solvable groups. (English) Zbl 1368.20064 Math. Z. 279, No. 3-4, 811-848 (2015). MSC: 20F69 60J10 20P05 20E05 20F16 20F05 PDFBibTeX XMLCite \textit{L. Saloff-Coste} and \textit{T. Zheng}, Math. Z. 279, No. 3--4, 811--848 (2015; Zbl 1368.20064) Full Text: DOI arXiv
Borodin, Alexei; Bufetov, Alexey Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. (English) Zbl 1322.60062 Duke Math. J. 163, No. 11, 2109-2158 (2014). Reviewer: Zakhar Kabluchko (Münster) MSC: 60G60 60G15 60F05 60B15 60B20 60C05 22E66 PDFBibTeX XMLCite \textit{A. Borodin} and \textit{A. Bufetov}, Duke Math. J. 163, No. 11, 2109--2158 (2014; Zbl 1322.60062) Full Text: DOI arXiv Euclid
Bauerschmidt, Roland A simple method for finite range decomposition of quadratic forms and Gaussian fields. (English) Zbl 1347.60037 Probab. Theory Relat. Fields 157, No. 3-4, 817-845 (2013). MSC: 60G15 60G60 35J08 PDFBibTeX XMLCite \textit{R. Bauerschmidt}, Probab. Theory Relat. Fields 157, No. 3--4, 817--845 (2013; Zbl 1347.60037) Full Text: DOI arXiv
Trinh, Khanh Duy; Takanobu, Satoshi On the distribution of \(k\)-th power free integers. II. (English) Zbl 1304.11108 Osaka J. Math. 50, No. 3, 687-713 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11N37 11K65 11M06 60B15 60F25 PDFBibTeX XMLCite \textit{K. D. Trinh} and \textit{S. Takanobu}, Osaka J. Math. 50, No. 3, 687--713 (2013; Zbl 1304.11108) Full Text: Euclid
Borodin, A.; Bufetov, A. A CLT for Plancherel representations of the infinite-dimensional unitary group. (English. Russian original) Zbl 1278.60045 J. Math. Sci., New York 190, No. 3, 419-426 (2013); translation from Zap. Nauchn. Semin. POMI 403, 19-34 (2012). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60F05 60B15 60B20 60C05 22E66 PDFBibTeX XMLCite \textit{A. Borodin} and \textit{A. Bufetov}, J. Math. Sci., New York 190, No. 3, 419--426 (2013; Zbl 1278.60045); translation from Zap. Nauchn. Semin. POMI 403, 19--34 (2012) 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
Bassino, Frédérique; Nicaud, Cyril; Weil, Pascal Generic properties of random subgroups of a free group for general distributions. (English) Zbl 1296.20066 Broutin, Nicolas (ed.) et al., Proceeding of the 23rd international meeting on probabilistic, combinatorial, and asymptotic methods in the analysis of algorithms (AofA’12), Montreal, Canada, June 18–22, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 155-166, electronic only (2012). MSC: 20P05 20E05 60J05 20F05 20E07 PDFBibTeX XMLCite \textit{F. Bassino} et al., in: Proceeding of the 23rd international meeting on probabilistic, combinatorial, and asymptotic methods in the analysis of algorithms (AofA'12), Montreal, Canada, June 18--22, 2012. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 155--166 (2012; Zbl 1296.20066) Full Text: Link
Li, Kangshun; Guo, Zhaolu; Chen, Zhangxin; Ge, Baoshan Research on EPGA based evolvable hardware chips for solving super-high dimensional equations group. (English) Zbl 1279.65048 Int. J. Numer. Anal. Model. 9, No. 2, 208-216 (2012). MSC: 65F30 35R35 49J40 60G40 68N30 PDFBibTeX XMLCite \textit{K. Li} et al., Int. J. Numer. Anal. Model. 9, No. 2, 208--216 (2012; Zbl 1279.65048) Full Text: Link
Gautero, François; Mathéus, Frédéric Poisson boundary of groups acting on \(\mathbb R\)-trees. (English) Zbl 1293.20027 Isr. J. Math. 191, Part B, 585-646 (2012). MSC: 20E08 20F65 20F67 20E05 20E22 60B15 PDFBibTeX XMLCite \textit{F. Gautero} and \textit{F. Mathéus}, Isr. J. Math. 191, Part B, 585--646 (2012; Zbl 1293.20027) Full Text: DOI arXiv
Ji, Chun Yan; Jiang, Da Qing; Shi, Ning Zhong Two-group SIR epidemic model with stochastic perturbation. (English) Zbl 1261.92046 Acta Math. Sin., Engl. Ser. 28, No. 12, 2545-2560 (2012). MSC: 92D30 60H10 34E10 65C20 PDFBibTeX XMLCite \textit{C. Y. Ji} et al., Acta Math. Sin., Engl. Ser. 28, No. 12, 2545--2560 (2012; Zbl 1261.92046) Full Text: DOI
Braun, Gábor; Pokutta, Sebastian Rigid Abelian groups and the probabilistic method. (English) Zbl 1268.20059 Strüngmann, Lutz (ed.) et al., Groups and model theory. In honor of Rüdiger Göbel’s 70th birthday. Proceedings of the conference, conference center “Die Wolfsburg”, Mühlheim an der Ruhr, Germany, May 30–June 3, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6923-9/pbk; 978-0-8218-9098-1/ebook). Contemporary Mathematics 576, 17-30 (2012). Reviewer: Phillip Schultz (Perth) MSC: 20K20 20K30 20P05 60C05 PDFBibTeX XMLCite \textit{G. Braun} and \textit{S. Pokutta}, Contemp. Math. 576, 17--30 (2012; Zbl 1268.20059) Full Text: arXiv
Ledrappier, François Analyticity of the entropy for some random walks. (English) Zbl 1252.60043 Groups Geom. Dyn. 6, No. 2, 317-333 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60G50 60B15 PDFBibTeX XMLCite \textit{F. Ledrappier}, Groups Geom. Dyn. 6, No. 2, 317--333 (2012; Zbl 1252.60043) Full Text: DOI arXiv
Chas, Moira; Lalley, Steven P. Self-intersections in combinatorial topology: statistical structure. (English) Zbl 1252.57002 Invent. Math. 188, No. 2, 429-463 (2012). Reviewer: Michael Joswig (Darmstadt) MSC: 57M05 37D40 60J10 PDFBibTeX XMLCite \textit{M. Chas} and \textit{S. P. Lalley}, Invent. Math. 188, No. 2, 429--463 (2012; Zbl 1252.57002) Full Text: DOI arXiv
Kapovich, Ilya Random length-spectrum rigidity for free groups. (English) Zbl 1268.20043 Proc. Am. Math. Soc. 140, No. 5, 1549-1560 (2012). MSC: 20F65 20E05 20E36 20F05 57M07 60G50 PDFBibTeX XMLCite \textit{I. Kapovich}, Proc. Am. Math. Soc. 140, No. 5, 1549--1560 (2012; Zbl 1268.20043) Full Text: DOI arXiv
Gretete, Driss Random walk on a finitely generated monoid. (English) Zbl 1269.60049 Int. J. Math. Comb. 2011, No. 4, 54-58 (2011). MSC: 60G50 20M05 PDFBibTeX XMLCite \textit{D. Gretete}, Int. J. Math. Comb. 2011, No. 4, 54--58 (2011; Zbl 1269.60049) Full Text: Link
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
Trinh, Khanh Duy On the distribution of \(k\)-th power free integers. (English) Zbl 1246.11160 Osaka J. Math. 48, No. 4, 1027-1045 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11N37 11K65 11M06 60B15 60F25 PDFBibTeX XMLCite \textit{K. D. Trinh}, Osaka J. Math. 48, No. 4, 1027--1045 (2011; Zbl 1246.11160) Full Text: Euclid
Banica, Teodor; Curran, Stephen; Speicher, Roland Stochastic aspects of easy quantum groups. (English) Zbl 1236.60008 Probab. Theory Relat. Fields 149, No. 3-4, 435-462 (2011). MSC: 60B20 60B15 16T30 46L54 PDFBibTeX XMLCite \textit{T. Banica} et al., Probab. Theory Relat. Fields 149, No. 3--4, 435--462 (2011; Zbl 1236.60008) Full Text: DOI arXiv
Banica, T.; Belinschi, S. T.; Capitaine, M.; Collins, B. Free Bessel laws. (English) Zbl 1218.46040 Can. J. Math. 63, No. 1, 3-37 (2011). MSC: 46L54 60B20 16S40 57T05 16T05 PDFBibTeX XMLCite \textit{T. Banica} et al., Can. J. Math. 63, No. 1, 3--37 (2011; Zbl 1218.46040) Full Text: DOI arXiv
Dickinson, Benjamin T.; Singler, John R. Nonlinear model reduction using group proper orthogonal decomposition. (English) Zbl 1499.35732 Int. J. Numer. Anal. Model. 7, No. 2, 356-372 (2010). MSC: 35R35 49J40 60G40 PDFBibTeX XMLCite \textit{B. T. Dickinson} and \textit{J. R. Singler}, Int. J. Numer. Anal. Model. 7, No. 2, 356--372 (2010; Zbl 1499.35732) Full Text: Link
Benaych-Georges, Florent Cycles of free words in several independent random permutations with restricted cycle lengths. (English) Zbl 1239.60015 Indiana Univ. Math. J. 59, No. 5, 1547-1586 (2010). Reviewer: Ion Cuculescu (Bucureşti) MSC: 60F05 60C05 05C15 PDFBibTeX XMLCite \textit{F. Benaych-Georges}, Indiana Univ. Math. J. 59, No. 5, 1547--1586 (2010; Zbl 1239.60015) Full Text: DOI arXiv Link
Armstrong, Craig; Mingo, James A.; Speicher, Roland; Wilson, Jennifer C. H. The non-commutative cycle lemma. (English) Zbl 1252.46067 J. Comb. Theory, Ser. A 117, No. 8, 1158-1166 (2010). MSC: 46L54 20E05 60B20 PDFBibTeX XMLCite \textit{C. Armstrong} et al., J. Comb. Theory, Ser. A 117, No. 8, 1158--1166 (2010; Zbl 1252.46067) Full Text: DOI arXiv
Vaes, Stefaan; Vander Vennet, Nikolas Poisson boundary of the discrete quantum group \(\widehat {A_u(F)}\). (English) Zbl 1204.46035 Compos. Math. 146, No. 4, 1073-1095 (2010). MSC: 46L53 46L54 60J50 81R50 46L65 PDFBibTeX XMLCite \textit{S. Vaes} and \textit{N. Vander Vennet}, Compos. Math. 146, No. 4, 1073--1095 (2010; Zbl 1204.46035) Full Text: DOI arXiv
Lacoin, Hubert; Moreno, Gregorio Directed polymers on hierarchical lattices with site disorder. (English) Zbl 1193.60118 Stochastic Processes Appl. 120, No. 4, 467-493 (2010). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 60K35 82B44 82B28 37F25 37N20 PDFBibTeX XMLCite \textit{H. Lacoin} and \textit{G. Moreno}, Stochastic Processes Appl. 120, No. 4, 467--493 (2010; Zbl 1193.60118) Full Text: DOI arXiv
Špakulová, Iva Critical percolation of virtually free groups and other tree-like graphs. (English) Zbl 1206.60093 Ann. Probab. 37, No. 6, 2262-2296 (2009). Reviewer: Arnaud Durand (Paris) MSC: 60K35 60D05 20P05 PDFBibTeX XMLCite \textit{I. Špakulová}, Ann. Probab. 37, No. 6, 2262--2296 (2009; Zbl 1206.60093) Full Text: DOI arXiv
Banica, Teodor; Collins, Benoit; Zinn-Justin, Paul Spectral analysis of the free orthogonal matrix. (English) Zbl 1179.46056 Int. Math. Res. Not. 2009, No. 17, 3286-3309 (2009). Reviewer: Adam Skalski (Lancaster) MSC: 46L89 81R50 46L54 60B15 PDFBibTeX XMLCite \textit{T. Banica} et al., Int. Math. Res. Not. 2009, No. 17, 3286--3309 (2009; Zbl 1179.46056) Full Text: DOI arXiv
Curran, Stephen Quantum exchangeable sequences of algebras. (English) Zbl 1178.46064 Indiana Univ. Math. J. 58, No. 3, 1097-1126 (2009). MSC: 46L54 46L65 60G09 PDFBibTeX XMLCite \textit{S. Curran}, Indiana Univ. Math. J. 58, No. 3, 1097--1126 (2009; Zbl 1178.46064) Full Text: DOI arXiv
Calegari, Danny scl. (English) Zbl 1187.20035 MSJ Memoirs 20. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-53-2/pbk). xii, 209 p. (2009). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 20F12 20-02 57-02 20F69 20F05 20J05 57M07 20F65 20F67 37E45 37J05 60C05 PDFBibTeX XMLCite \textit{D. Calegari}, scl. Tokyo: Mathematical Society of Japan (2009; Zbl 1187.20035) Full Text: DOI Link
Kozáková, Iva Critical percolation of free product of groups. (English) Zbl 1179.20028 Int. J. Algebra Comput. 18, No. 4, 683-704 (2008). Reviewer: Dimitrios Varsos (Athenai) MSC: 20E06 60K35 20P05 20F05 05C80 82B43 PDFBibTeX XMLCite \textit{I. Kozáková}, Int. J. Algebra Comput. 18, No. 4, 683--704 (2008; Zbl 1179.20028) Full Text: DOI arXiv
Rivin, Igor Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms. (English) Zbl 1207.20068 Duke Math. J. 142, No. 2, 353-379 (2008). Reviewer: Francesco Russo (Palermo) MSC: 20P05 57M50 20G30 11G99 20E05 20E36 05C25 22E46 60G50 PDFBibTeX XMLCite \textit{I. Rivin}, Duke Math. J. 142, No. 2, 353--379 (2008; Zbl 1207.20068) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Fermionic construction of tau functions and random processes. (English) Zbl 1183.82032 Physica D 235, No. 1-2, 168-206 (2007). MSC: 82B41 60K40 82B28 05C90 05E10 37K10 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Physica D 235, No. 1--2, 168--206 (2007; Zbl 1183.82032) Full Text: DOI arXiv
Kaimanovich, Vadim; Kapovich, Ilya; Schupp, Paul The subadditive ergodic theorem and generic stretching factors for free group automorphisms. (English) Zbl 1173.20031 Isr. J. Math. 157, 1-46 (2007). MSC: 20F65 20E05 20E36 37A30 60G50 PDFBibTeX XMLCite \textit{V. Kaimanovich} et al., Isr. J. Math. 157, 1--46 (2007; Zbl 1173.20031) Full Text: DOI arXiv
Feldman, G. M. On the Heyde theorem for discrete Abelian groups. (English) Zbl 1111.62013 Stud. Math. 177, No. 1, 67-79 (2006). MSC: 62E10 62A01 20K99 60B15 39B52 60E99 PDFBibTeX XMLCite \textit{G. M. Feldman}, Stud. Math. 177, No. 1, 67--79 (2006; Zbl 1111.62013) 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
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
Malyutin, A. V. The Poisson-Furstenberg boundary of the locally free group. (English. Russian original) Zbl 1152.60061 J. Math. Sci., New York 129, No. 2, 3787-3795 (2005); translation from Zap. Nauchn. Semin. POMI 301, 195-211 (2003). Reviewer: Ion Cuculescu (Bucureşti) MSC: 60J50 60J10 PDFBibTeX XMLCite \textit{A. V. Malyutin}, J. Math. Sci., New York 129, No. 2, 3787--3795 (2005; Zbl 1152.60061); translation from Zap. Nauchn. Semin. POMI 301, 195--211 (2003) Full Text: DOI
Ma, Xiujuan A note on noncommutative moment problems. (English) Zbl 1121.46051 Sci. China, Ser. A 48, No. 8, 1144-1151 (2005). MSC: 46L53 60B15 PDFBibTeX XMLCite \textit{X. Ma}, Sci. China, Ser. A 48, No. 8, 1144--1151 (2005; Zbl 1121.46051)
Averina, Ya. S.; Frenkel’, E. V. On strictly sparse subsets of a free group. (Russian. English summary) Zbl 1126.20301 Sib. Èlektron. Mat. Izv. 2, 1-13 (2005). MSC: 20E05 60G50 20P05 20F10 43A05 PDFBibTeX XMLCite \textit{Ya. S. Averina} and \textit{E. V. Frenkel'}, Sib. Èlektron. Mat. Izv. 2, 1--13 (2005; Zbl 1126.20301) Full Text: EuDML
Hough, J. B. Asymptotic behavior of random heaps. (English) Zbl 1084.60029 Random Struct. Algorithms 27, No. 4, 476-489 (2005). Reviewer: Yasuhiro Asoo (Okayama) MSC: 60G50 PDFBibTeX XMLCite \textit{J. B. Hough}, Random Struct. Algorithms 27, No. 4, 476--489 (2005; Zbl 1084.60029) Full Text: DOI arXiv
Ollivier, Yann Cogrowth and spectral gap of generic groups. (English) Zbl 1133.20032 Ann. Inst. Fourier 55, No. 1, 289-317 (2005). MSC: 20F69 20P05 20F67 20F05 60G50 PDFBibTeX XMLCite \textit{Y. Ollivier}, Ann. Inst. Fourier 55, No. 1, 289--317 (2005; Zbl 1133.20032) Full Text: DOI arXiv Numdam EuDML
Rivin, Igor Symmetrized Chebyshev polynomials. (English) Zbl 1069.41023 Proc. Am. Math. Soc. 133, No. 5, 1299-1305 (2005). Reviewer: Anne Siegel (Rennes) MSC: 41A50 41A10 60F05 05C25 PDFBibTeX XMLCite \textit{I. Rivin}, Proc. Am. Math. Soc. 133, No. 5, 1299--1305 (2005; Zbl 1069.41023) Full Text: DOI arXiv
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio Random walks, entropy and Hopfianity of free groups. (English) Zbl 1067.20025 Kaimanovich, Vadim A. (ed.), Random walks and geometry. Proceedings of a workshop at the Erwin Schrödinger Institute, Vienna, June 18 – July 13, 2001. In collaboration with Klaus Schmidt and Wolfgang Woess. Collected papers. Berlin: de Gruyter (ISBN 3-11-017237-2/hbk). 413-419 (2004). MSC: 20E05 60G50 20F65 60B15 20E36 PDFBibTeX XMLCite \textit{T. Ceccherini-Silberstein} and \textit{F. Scarabotti}, in: Random walks and geometry. Proceedings of a workshop at the Erwin Schrödinger Institute, Vienna, June 18 -- July 13, 2001. In collaboration with Klaus Schmidt and Wolfgang Woess. Collected papers. Berlin: de Gruyter. 413--419 (2004; Zbl 1067.20025)
Mairesse, Jean; Mathéus, Frédéric Random walks on groups with a tree-like Cayley graph. (English) Zbl 1064.20073 Drmota, Michael (ed.) et al., Mathematics and computer science III. Algorithms, trees, combinatorics and probabilities. Proceedings of the international colloquium of mathematics and computer sciences, Vienna, September 13–17, 2004. Basel: Birkhäuser (ISBN 3-7643-7128-5/hbk). Trends in Mathematics, 445-460 (2004). MSC: 20P05 20E06 20F05 60G50 60C05 20F36 PDFBibTeX XMLCite \textit{J. Mairesse} and \textit{F. Mathéus}, in: Mathematics and computer science III. Algorithms, trees, combinatorics and probabilities. Proceedings of the international colloquium of mathematics and computer sciences, Vienna, September 13--17, 2004. Basel: Birkhäuser. 445--460 (2004; Zbl 1064.20073)
Hida, Takeyuki; Si, Si An innovation approach to random fields. Application of white noise theory. (English) Zbl 1071.60004 River Edge, NJ: World Scientific (ISBN 981-238-095-7/hbk; 978-981-256-538-9/ebook). xiii, 189 p. (2004). Reviewer: Bo Markussen (Kopenhagen) MSC: 60-02 60H40 60G15 60G20 60G55 60G57 60G60 60H07 60H20 60J25 81Q99 81S99 PDFBibTeX XMLCite \textit{T. Hida} and \textit{S. Si}, An innovation approach to random fields. Application of white noise theory. River Edge, NJ: World Scientific (2004; Zbl 1071.60004)
Borovik, Alexandre V.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. Multiplicative measures on free groups. (English) Zbl 1061.20066 Int. J. Algebra Comput. 13, No. 6, 705-731 (2003). Reviewer: V. A. Roman’kov (Omsk) MSC: 20P05 20E05 20F10 20F69 43A05 60G50 PDFBibTeX XMLCite \textit{A. V. Borovik} et al., Int. J. Algebra Comput. 13, No. 6, 705--731 (2003; Zbl 1061.20066) Full Text: DOI arXiv
Silberman, L. Addendum to “Random walk in random groups” by M. Gromov. (English) Zbl 1124.20027 Geom. Funct. Anal. 13, No. 1, 147-177 (2003). Reviewer: Yasuhiro Asoo (Tokyo) MSC: 20F67 20F65 20P05 60G50 20F06 53C23 05C25 PDFBibTeX XMLCite \textit{L. Silberman}, Geom. Funct. Anal. 13, No. 1, 147--177 (2003; Zbl 1124.20027) Full Text: DOI
Gromov, M. Random walk in random groups. (English) Zbl 1122.20021 Geom. Funct. Anal. 13, No. 1, 73-146 (2003). MSC: 20F67 20F65 20P05 60G50 20F06 53C23 05C25 PDFBibTeX XMLCite \textit{M. Gromov}, Geom. Funct. Anal. 13, No. 1, 73--146 (2003; Zbl 1122.20021) Full Text: DOI
Grigorchuk, Rostislav I.; Żuk, Andrzej On a torsion-free weakly branch group defined by a three state automaton. (English) Zbl 1070.20031 Int. J. Algebra Comput. 12, No. 1-2, 223-246 (2002). MSC: 20E08 20F05 20F10 68Q70 60G50 PDFBibTeX XMLCite \textit{R. I. Grigorchuk} and \textit{A. Żuk}, Int. J. Algebra Comput. 12, No. 1--2, 223--246 (2002; Zbl 1070.20031) Full Text: DOI
Borovik, Alexandre V.; Myasnikov, Alexei G.; Shpilrain, Vladimir Measuring sets in infinite groups. (English) Zbl 1022.20010 Gilman, Robert (ed.) et al., Computational and statistical group theory. Proceedings of the AMS special session on geometric group theory, Las Vegas, NV, USA, April 21-22, 2001 and the AMS special session on computational group theory, Hoboken, NJ, USA, April 28-29, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 298, 21-42 (2002). Reviewer: Vahagn H.Mikaelian (Yerevan) MSC: 20E05 60B15 43A05 20P05 20F05 PDFBibTeX XMLCite \textit{A. V. Borovik} et al., Contemp. Math. 298, 21--42 (2002; Zbl 1022.20010) 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
Ledrappier, François Some asymptotic properties of random walks on free groups. (English) Zbl 0994.60073 Taylor, J. C. (ed.), Topics in probability and Lie groups: boundary theory. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 28, 117-152 (2001). Reviewer: Peter Mörters (Bath) MSC: 60J50 60G50 PDFBibTeX XMLCite \textit{F. Ledrappier}, in: Topics in probability and Lie groups: boundary theory. Providence, RI: American Mathematical Society (AMS). 117--152 (2001; Zbl 0994.60073)
Thorbjørnsen, S. Mixed moments of Voiculescu’s Gaussian random matrices. (English) Zbl 0977.46041 J. Funct. Anal. 176, No. 2, 213-246 (2000). Reviewer: Michael Voit (Tübingen) MSC: 46L53 60F15 60G15 60B05 46M07 PDFBibTeX XMLCite \textit{S. Thorbjørnsen}, J. Funct. Anal. 176, No. 2, 213--246 (2000; Zbl 0977.46041) Full Text: DOI
Vershik, A. M.; Nechaev, S.; Bikbov, R. Statistical properties of locally free groups with applications to braid groups and growth of random heaps. (English) Zbl 1010.20056 Commun. Math. Phys. 212, No. 2, 469-501 (2000). MSC: 20P05 20F36 60B15 PDFBibTeX XMLCite \textit{A. M. Vershik} et al., Commun. Math. Phys. 212, No. 2, 469--501 (2000; Zbl 1010.20056) Full Text: DOI
Aussenhofer, L. Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups. (English) Zbl 0953.22001 Diss. Math. 384, 113 p. (1999). Reviewer: Maria Jesus Chasco (Pamplona) MSC: 22A05 43A40 11H06 22B99 43A35 46Axx 52C07 52A40 54Dxx 54E15 60B15 PDFBibTeX XMLCite \textit{L. Aussenhofer}, Diss. Math. 384, 113 p. (1999; Zbl 0953.22001)
Haagerup, U.; Thorbjørnsen, S. Random matrices and \(K\)-theory for exact \(C^*\)-algebras. (English) Zbl 0933.46051 Doc. Math. 4, 341-450 (1999). Reviewer: Vladimir Pestov (Wellington) MSC: 46L05 46L35 46L80 60F15 PDFBibTeX XMLCite \textit{U. Haagerup} and \textit{S. Thorbjørnsen}, Doc. Math. 4, 341--450 (1999; Zbl 0933.46051) Full Text: EuDML EMIS
Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki Notions of independence related to free groups. II: From singleton condition to singleton independence. (English) Zbl 0960.46041 RIMS Kokyuroku 1035, 82-94 (1998). Reviewer: Isamu Dôku (Urawa) MSC: 46L54 81S25 60F99 PDFBibTeX XMLCite \textit{L. Accardi} et al., RIMS Kokyuroku 1035, 82--94 (1998; Zbl 0960.46041)