Donderwinkel, Serte; Kolesnik, Brett Tournaments and random walks. arXiv:2403.12940 Preprint, arXiv:2403.12940 [math.PR] (2024). MSC: 05C20 11P21 52B05 60F05 60G50 62J15 BibTeX Cite \textit{S. Donderwinkel} and \textit{B. Kolesnik}, ``Tournaments and random walks'', Preprint, arXiv:2403.12940 [math.PR] (2024) Full Text: arXiv OA License
Garbit, Rodolphe; Raschel, Kilian Random walks with drift inside a pyramid: convergence rate for the survival probability. (English) Zbl 07799677 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 2, 973-988 (2023). MSC: 60G50 60G40 60E10 52B11 PDFBibTeX XMLCite \textit{R. Garbit} and \textit{K. Raschel}, ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 2, 973--988 (2023; Zbl 07799677) Full Text: arXiv Link
Hraivoronska, Anastasiia; Tse, Oliver Diffusive limit of random walks on tessellations via generalized gradient flows. (English) Zbl 1519.35010 SIAM J. Math. Anal. 55, No. 4, 2948-2995 (2023). MSC: 35A15 35A35 35K10 52C22 60G50 60J27 60J60 PDFBibTeX XMLCite \textit{A. Hraivoronska} and \textit{O. Tse}, SIAM J. Math. Anal. 55, No. 4, 2948--2995 (2023; Zbl 1519.35010) Full Text: DOI arXiv
Gustafson, Adam; Narayanan, Hariharan John’s walk. (English) Zbl 1528.60039 Adv. Appl. Probab. 55, No. 2, 473-491 (2023). Reviewer: Alexander Iksanov (Kyïv) MSC: 60G50 60J05 52-08 PDFBibTeX XMLCite \textit{A. Gustafson} and \textit{H. Narayanan}, Adv. Appl. Probab. 55, No. 2, 473--491 (2023; Zbl 1528.60039) Full Text: DOI arXiv
Cygan, Wojciech; Sandrić, Nikola; Šebek, Stjepan; Wade, Andrew Iterated-logarithm laws for convex hulls of random walks with drift. arXiv:2307.10027 Preprint, arXiv:2307.10027 [math.PR] (2023). MSC: 60G50 60D05 60F15 60J65 52A22 BibTeX Cite \textit{W. Cygan} et al., ``Iterated-logarithm laws for convex hulls of random walks with drift'', Preprint, arXiv:2307.10027 [math.PR] (2023) Full Text: arXiv OA License
Vysotsky, Vladislav The isoperimetric problem for convex hulls and the large deviations rate functionals of random walks. arXiv:2306.12359 Preprint, arXiv:2306.12359 [math.PR] (2023). MSC: 60F10 49K05 52A40 60D05 60G50 BibTeX Cite \textit{V. Vysotsky}, ``The isoperimetric problem for convex hulls and the large deviations rate functionals of random walks'', Preprint, arXiv:2306.12359 [math.PR] (2023) Full Text: arXiv OA License
Narayanan, Hariharan; Srivastava, Piyush On the mixing time of coordinate hit-and-run. (English) Zbl 1516.52007 Comb. Probab. Comput. 31, No. 2, 320-332 (2022). MSC: 52A22 60J10 60G50 68Q87 PDFBibTeX XMLCite \textit{H. Narayanan} and \textit{P. Srivastava}, Comb. Probab. Comput. 31, No. 2, 320--332 (2022; Zbl 1516.52007) Full Text: DOI arXiv
Kabluchko, Zakhar; Marynych, Alexander Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. (English) Zbl 1526.60012 Probab. Theory Relat. Fields 184, No. 3-4, 969-1028 (2022). Reviewer: Ping Sun (Shenyang) MSC: 60C05 05A16 05A18 11B73 60G50 52A22 60D05 PDFBibTeX XMLCite \textit{Z. Kabluchko} and \textit{A. Marynych}, Probab. Theory Relat. Fields 184, No. 3--4, 969--1028 (2022; Zbl 1526.60012) Full Text: DOI arXiv
Gurel-Gurevich, Ori; Seidel, Matan Recurrence of a weighted random walk on a circle packing with parabolic carrier. (English) Zbl 1494.60017 Isr. J. Math. 247, No. 2, 547-591 (2022). Reviewer: Gabriela Cristescu (Arad) MSC: 60D05 52C15 60G50 PDFBibTeX XMLCite \textit{O. Gurel-Gurevich} and \textit{M. Seidel}, Isr. J. Math. 247, No. 2, 547--591 (2022; Zbl 1494.60017) Full Text: DOI arXiv
Akopyan, Arseniy; Vysotsky, Vladislav Large deviations of convex hulls of planar random walks and Brownian motions. (Grandes déviations pour l’enveloppe convexe de marches aléatoires et de mouvements Browniens dans le plan.) (English. French summary) Zbl 1483.60015 Ann. Henri Lebesgue 4, 1163-1201 (2021). MSC: 60D05 60F10 60G50 26B25 52A22 60G70 60J65 60G51 PDFBibTeX XMLCite \textit{A. Akopyan} and \textit{V. Vysotsky}, Ann. Henri Lebesgue 4, 1163--1201 (2021; Zbl 1483.60015) Full Text: DOI arXiv
Chasapis, Giorgos; König, Hermann; Tkocz, Tomasz From Ball’s cube slicing inequality to Khinchin-type inequalities for negative moments. (English) Zbl 1482.52012 J. Funct. Anal. 281, No. 9, Article ID 109185, 23 p. (2021). Reviewer: Alexey Alimov (Moskva) MSC: 52A40 60E15 60G50 PDFBibTeX XMLCite \textit{G. Chasapis} et al., J. Funct. Anal. 281, No. 9, Article ID 109185, 23 p. (2021; Zbl 1482.52012) Full Text: DOI arXiv
Vysotsky, Vladislav Contraction principle for trajectories of random walks and Cramér’s theorem for kernel-weighted sums. (English) Zbl 1472.60053 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1103-1125 (2021). MSC: 60F10 60G50 49J45 52A22 54A10 60B11 PDFBibTeX XMLCite \textit{V. Vysotsky}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1103--1125 (2021; Zbl 1472.60053) Full Text: arXiv Link
Handelman, David Boundary of the boundary for random walks on groups. arXiv:2103.16658 Preprint, arXiv:2103.16658 [math.FA] (2021). MSC: 46A55 60G50 06F20 22E25 46A22 46N99 52B11 54F05 60B10 BibTeX Cite \textit{D. Handelman}, ``Boundary of the boundary for random walks on groups'', Preprint, arXiv:2103.16658 [math.FA] (2021) Full Text: arXiv OA License
Amiet, Ben; Markowsky, Greg; Palacios, José On the equivalence of cylinder tilings and planar electric networks. (English) Zbl 1442.05039 Discrete Appl. Math. 283, 762-769 (2020). MSC: 05C10 05C12 05C81 60G50 60K10 52C22 94C15 05C90 PDFBibTeX XMLCite \textit{B. Amiet} et al., Discrete Appl. Math. 283, 762--769 (2020; Zbl 1442.05039) Full Text: DOI
Comets, Francis; Menshikov, Mikhail V.; Wade, Andrew R. Random walks avoiding their convex hull with a finite memory. (English) Zbl 1471.60065 Indag. Math., New Ser. 31, No. 1, 117-146 (2020). MSC: 60G50 60K35 52A22 PDFBibTeX XMLCite \textit{F. Comets} et al., Indag. Math., New Ser. 31, No. 1, 117--146 (2020; Zbl 1471.60065) Full Text: DOI arXiv Link
Nachmias, Asaf Planar maps, random walks and circle packing. École d’Été de Probabilités de Saint-Flour XLVIII – 2018. (English) Zbl 1471.60007 Lecture Notes in Mathematics 2243. École d’Été de Probabilités de Saint-Flour. Cham: Springer (ISBN 978-3-030-27967-7/pbk; 978-3-030-27968-4/ebook). xii, 118 p., open access (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 60-02 60D05 82B41 52C26 60G50 PDFBibTeX XMLCite \textit{A. Nachmias}, Planar maps, random walks and circle packing. École d'Été de Probabilités de Saint-Flour XLVIII -- 2018. Cham: Springer (2020; Zbl 1471.60007) Full Text: DOI
Randon-Furling, Julien; Zaporozhets, Dmitry Convex hulls of several multidimensional Gaussian random walks. arXiv:2007.02768 Preprint, arXiv:2007.02768 [math.PR] (2020). MSC: 52A22 60D05 60G50 51M20 52B05 52B11 60G15 BibTeX Cite \textit{J. Randon-Furling} and \textit{D. Zaporozhets}, ``Convex hulls of several multidimensional Gaussian random walks'', Preprint, arXiv:2007.02768 [math.PR] (2020) Full Text: arXiv OA License
Bansal, Nikhil; Dadush, Daniel; Garg, Shashwat; Lovett, Shachar The Gram-Schmidt walk: a cure for the Banaszczyk blues. (English) Zbl 1494.68267 Theory Comput. 15, Paper No. 21, 27 p. (2019). MSC: 68U05 52B55 60G50 68W20 PDFBibTeX XMLCite \textit{N. Bansal} et al., Theory Comput. 15, Paper No. 21, 27 p. (2019; Zbl 1494.68267) Full Text: DOI
Pach, János; Tardos, Gábor Tiling the plane with equilateral triangles. (English) Zbl 1430.52027 Geombinatorics 28, No. 4, 201-209 (2019). Reviewer: Christian Richter (Jena) MSC: 52C20 05C81 52C25 60G50 PDFBibTeX XMLCite \textit{J. Pach} and \textit{G. Tardos}, Geombinatorics 28, No. 4, 201--209 (2019; Zbl 1430.52027) Full Text: arXiv
Niemeyer, Robert G. (ed.); Pearse, Erin P. J. (ed.); Rock, John A. (ed.); Samuel, Tony (ed.) Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. (English) Zbl 1420.00047 Contemporary Mathematics 731. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3581-3/pbk; 978-1-4704-5315-2/ebook). xiv, 302 p. (2019). MSC: 00B25 28-06 37-06 00B30 11M26 26A30 28D05 30D10 31A10 35P20 37B10 52A39 52C23 60G50 PDFBibTeX XMLCite \textit{R. G. Niemeyer} (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21--29, 2016. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1420.00047) Full Text: DOI
Nestoridi, Evita Optimal strong stationary times for random walks on the chambers of a hyperplane arrangement. (English) Zbl 1481.60138 Probab. Theory Relat. Fields 174, No. 3-4, 929-943 (2019). MSC: 60J10 60C05 52C35 60G50 PDFBibTeX XMLCite \textit{E. Nestoridi}, Probab. Theory Relat. Fields 174, No. 3--4, 929--943 (2019; Zbl 1481.60138) Full Text: DOI arXiv
Bansal, Nikhil; Dadush, Daniel; Garg, Shashwat; Lovett, Shachar The Gram-Schmidt walk: a cure for the Banaszczyk blues. (English) Zbl 1427.68328 Diakonikolas, Ilias (ed.) et al., Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC ’18, Los Angeles, CA, USA, June 25–29, 2018. New York, NY: Association for Computing Machinery (ACM). 587-597 (2018). MSC: 68U05 52B55 60G50 68W20 PDFBibTeX XMLCite \textit{N. Bansal} et al., in: Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC '18, Los Angeles, CA, USA, June 25--29, 2018. New York, NY: Association for Computing Machinery (ACM). 587--597 (2018; Zbl 1427.68328) Full Text: DOI arXiv Link
Vysotsky, Vladislav; Zaporozhets, Dmitry Convex hulls of multidimensional random walks. (English) Zbl 1434.60060 Trans. Am. Math. Soc. 370, No. 11, 7985-8012 (2018). Reviewer: Alexander Iksanov (Kiev) MSC: 60D05 60G50 60G70 52B11 PDFBibTeX XMLCite \textit{V. Vysotsky} and \textit{D. Zaporozhets}, Trans. Am. Math. Soc. 370, No. 11, 7985--8012 (2018; Zbl 1434.60060) Full Text: DOI arXiv
Tikhomirov, Konstantin; Youssef, Pierre When does a discrete-time random walk in \(\mathbb{R}^{n}\) absorb the origin into its convex hull? (English) Zbl 1377.52008 Ann. Probab. 45, No. 2, 965-1002 (2017). MSC: 52A22 60J05 60J65 60G50 PDFBibTeX XMLCite \textit{K. Tikhomirov} and \textit{P. Youssef}, Ann. Probab. 45, No. 2, 965--1002 (2017; Zbl 1377.52008) Full Text: DOI arXiv Euclid
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry Convex hulls of random walks: expected number of faces and face probabilities. (English) Zbl 1377.52007 Adv. Math. 320, 595-629 (2017). MSC: 52A22 60D05 60G50 60G09 52C35 20F55 52B11 60G70 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., Adv. Math. 320, 595--629 (2017; Zbl 1377.52007) Full Text: DOI arXiv Link
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
Sachdeva, Sushant; Vishnoi, Nisheeth K. The mixing time of the Dikin walk in a polytope – a simple proof. (English) Zbl 1408.60015 Oper. Res. Lett. 44, No. 5, 630-634 (2016). MSC: 60D05 52B55 65K05 60G50 90C05 PDFBibTeX XMLCite \textit{S. Sachdeva} and \textit{N. K. Vishnoi}, Oper. Res. Lett. 44, No. 5, 630--634 (2016; Zbl 1408.60015) Full Text: DOI arXiv
Tiep, Pham H.; Vu, Van H. Non-abelian Littlewood-Offord inequalities. (English) Zbl 1346.05295 Adv. Math. 302, 1233-1250 (2016). MSC: 05D40 05C40 52C17 20C33 60B15 60C05 60G50 PDFBibTeX XMLCite \textit{P. H. Tiep} and \textit{V. H. Vu}, Adv. Math. 302, 1233--1250 (2016; Zbl 1346.05295) Full Text: DOI arXiv
Bobkov, Sergey G.; Chistyakov, Gennadiy P. On concentration functions of random variables. (English) Zbl 1339.60011 J. Theor. Probab. 28, No. 3, 976-988 (2015). Reviewer: Ludwig Paditz (Dresden) MSC: 60E05 60E15 52A40 PDFBibTeX XMLCite \textit{S. G. Bobkov} and \textit{G. P. Chistyakov}, J. Theor. Probab. 28, No. 3, 976--988 (2015; Zbl 1339.60011) Full Text: DOI
Chung, Fan; Hughes, Jacob A note on an alternating upper bound for random walks on semigroups. (English) Zbl 1300.60064 Discrete Appl. Math. 176, 24-29 (2014). MSC: 60G50 52C35 60J10 PDFBibTeX XMLCite \textit{F. Chung} and \textit{J. Hughes}, Discrete Appl. Math. 176, 24--29 (2014; Zbl 1300.60064) Full Text: DOI
Chelkak, Dmitry; Smirnov, Stanislav Discrete complex analysis on isoradial graphs. (English) Zbl 1227.31011 Adv. Math. 228, No. 3, 1590-1630 (2011). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C20 39A12 52C20 60G50 PDFBibTeX XMLCite \textit{D. Chelkak} and \textit{S. Smirnov}, Adv. Math. 228, No. 3, 1590--1630 (2011; Zbl 1227.31011) Full Text: DOI arXiv
Ledoux, Michel; Talagrand, Michel Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. (English) Zbl 1226.60003 Classics in Mathematics. Berlin: Springer (ISBN 978-3-642-20211-7/pbk). xii, 480 p. (2011). Reviewer: H. M. Mai (Berlin) MSC: 60-02 60Bxx 60G15 60G17 60G50 46Bxx 52A40 60E15 PDFBibTeX XMLCite \textit{M. Ledoux} and \textit{M. Talagrand}, Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Berlin: Springer (2011; Zbl 1226.60003)
Schapira, Bruno; Young, Robert Windings of planar random walks and averaged Dehn function. (English. French summary) Zbl 1397.60083 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 130-147 (2011). MSC: 60G50 52C45 60D05 PDFBibTeX XMLCite \textit{B. Schapira} and \textit{R. Young}, Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 130--147 (2011; Zbl 1397.60083) Full Text: DOI arXiv EuDML
Bogachev, Leonid V.; Zarbaliev, Sakhavat M. Inverse problem of the limit shape for convex lattice polygonal lines. arXiv:1110.6636 Preprint, arXiv:1110.6636 [math.PR] (2011). MSC: 52A22 05A17 05D40 60F05 60G50 BibTeX Cite \textit{L. V. Bogachev} and \textit{S. M. Zarbaliev}, ``Inverse problem of the limit shape for convex lattice polygonal lines'', Preprint, arXiv:1110.6636 [math.PR] (2011) Full Text: arXiv OA License
Guttmann, Anthony J. History and introduction to polygon models and polyominoes. (English) Zbl 1180.82079 Guttmann, Anthony J. (ed.), Polygons, polyominoes and polycubes. Dordrecht: Springer (ISBN 978-1-4020-9926-7/hbk; 978-1-4020-9927-4/ebook). Lecture Notes in Physics 775, 1-21 (2009). MSC: 82B41 05B50 52C20 60G50 82B20 PDFBibTeX XMLCite \textit{A. J. Guttmann}, Lect. Notes Phys. 775, 1--21 (2009; Zbl 1180.82079) Full Text: DOI
Latała, Rafał On weak tail domination of random vectors. (English) Zbl 1170.60309 Bull. Pol. Acad. Sci., Math. 57, No. 1, 75-80 (2009). MSC: 60E15 60G50 52A40 PDFBibTeX XMLCite \textit{R. Latała}, Bull. Pol. Acad. Sci., Math. 57, No. 1, 75--80 (2009; Zbl 1170.60309) Full Text: DOI arXiv
Kannan, Ravi Decoupling and partial independence. (English) Zbl 1177.60023 Grötschel, Martin (ed.) et al., Building bridges. Between mathematics and computer science. Selected papers of the conferences held in Budapest, Hungary, August 5–9, 2008 and Keszthely, Hungary, August 11–15, 2008 and other research papers dedicated to László Lovász on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-540-85218-6/hbk; 978-963-9453-11-1). Bolyai Society Mathematical Studies 19, 321-331 (2008). Reviewer: David Yost (Ballarat) MSC: 60E15 52A20 60G50 PDFBibTeX XMLCite \textit{R. Kannan}, Bolyai Soc. Math. Stud. 19, 321--331 (2008; Zbl 1177.60023) Full Text: DOI
Björner, Anders Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries. (English) Zbl 1158.60344 Grötschel, Martin (ed.) et al., Building bridges. Between mathematics and computer science. Selected papers of the conferences held in Budapest, Hungary, August 5–9, 2008 and Keszthely, Hungary, August 11–15, 2008 and other research papers dedicated to László Lovász on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-540-85218-6/hbk). Bolyai Society Mathematical Studies 19, 165-203 (2008). MSC: 60G50 60J10 05A05 52C35 PDFBibTeX XMLCite \textit{A. Björner}, Bolyai Soc. Math. Stud. 19, 165--203 (2008; Zbl 1158.60344) Full Text: DOI arXiv
Orlik, Peter Lectures on arrangements: combinatorics and topology. (English) Zbl 1145.52011 Fløystad, Gunnar (ed.), Algebraic combinatorics. Lectures on arrangements and cellular resolutions at a summer school in Nordfjordeid, Norway, June 2003. Berlin: Springer (ISBN 978-3-540-68375-9/pbk). Universitext, 1-79 (2007). Reviewer: Michael J. Falk (Flagstaff) MSC: 52C35 33C70 52C40 60G50 PDFBibTeX XMLCite \textit{P. Orlik}, in: Algebraic combinatorics. Lectures on arrangements and cellular resolutions at a summer school in Nordfjordeid, Norway, June 2003. Berlin: Springer. 1--79 (2007; Zbl 1145.52011)
Artstein-Avidan, S.; Milman, V. D. Logarithmic reduction of the level of randomness in some probabilistic geometric constructions. (English) Zbl 1111.52009 J. Funct. Anal. 235, No. 1, 297-329 (2006). Reviewer: Wolfgang Weil (Karlsruhe) MSC: 52A22 46B09 60G50 PDFBibTeX XMLCite \textit{S. Artstein-Avidan} and \textit{V. D. Milman}, J. Funct. Anal. 235, No. 1, 297--329 (2006; Zbl 1111.52009) Full Text: DOI
Madras, Neal; Wu, C. Chris Self-avoiding walks on hyperbolic graphs. (English) Zbl 1139.82026 Comb. Probab. Comput. 14, No. 4, 523-548 (2005). Reviewer: Chengxun Wu (Shanghai) MSC: 82C20 82C27 60G50 05B45 52C20 60C05 PDFBibTeX XMLCite \textit{N. Madras} and \textit{C. C. Wu}, Comb. Probab. Comput. 14, No. 4, 523--548 (2005; Zbl 1139.82026) Full Text: DOI
Diao, Y.; Dobay, A.; Stasiak, A. The average inter-crossing number of equilateral random walks and polygons. (English) Zbl 1100.82009 J. Phys. A, Math. Gen. 38, No. 35, 7601-7616 (2005). Reviewer: Guy Jumarie (Montréal) MSC: 82B41 52A22 60G50 PDFBibTeX XMLCite \textit{Y. Diao} et al., J. Phys. A, Math. Gen. 38, No. 35, 7601--7616 (2005; Zbl 1100.82009) Full Text: DOI Link
Zerner, Martin P. W. On the speed of a planar random walk avoiding its past convex hull. (English) Zbl 1073.60100 Ann. Inst. Henri Poincaré, Probab. Stat. 41, No. 5, 887-900 (2005). MSC: 60K35 60G50 52A22 PDFBibTeX XMLCite \textit{M. P. W. Zerner}, Ann. Inst. Henri Poincaré, Probab. Stat. 41, No. 5, 887--900 (2005; Zbl 1073.60100) Full Text: DOI arXiv Numdam Numdam EuDML
Mazzolo, Alain; Roesslinger, Benoît; Gille, Wilfried Properties of chord length distributions of nonconvex bodies. (English) Zbl 1063.60067 J. Math. Phys. 44, No. 12, 6195-6208 (2003). MSC: 60G50 52A05 PDFBibTeX XMLCite \textit{A. Mazzolo} et al., J. Math. Phys. 44, No. 12, 6195--6208 (2003; Zbl 1063.60067) Full Text: DOI
Angel, Omer; Benjamini, Itai; Virág, Bálint Random walks that avoid their past convex hull. (English) Zbl 1009.60085 Electron. Commun. Probab. 8, Paper No. 2, 6-16 (2003). MSC: 60K35 52A22 91B28 60G50 PDFBibTeX XMLCite \textit{O. Angel} et al., Electron. Commun. Probab. 8, Paper No. 2, 6--16 (2003; Zbl 1009.60085) Full Text: DOI arXiv EuDML EMIS
Lavie, Marc Characteristic function for random sets and convergence of sums of independent random sets. (English) Zbl 1022.60013 Acta Math. Vietnam. 25, No. 1, 87-99 (2000). Reviewer: O.Lipovan (Timişoara) MSC: 60D05 26E25 60G50 52A22 PDFBibTeX XMLCite \textit{M. Lavie}, Acta Math. Vietnam. 25, No. 1, 87--99 (2000; Zbl 1022.60013)
Fulman, Jason Semisimple orbits of Lie algebras and card-shuffling measures on Coxeter groups. (English) Zbl 0971.60048 J. Algebra 224, No. 1, 151-165 (2000). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 60G50 17B45 20F55 20G40 52C35 PDFBibTeX XMLCite \textit{J. Fulman}, J. Algebra 224, No. 1, 151--165 (2000; Zbl 0971.60048) Full Text: DOI arXiv
Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi Random walks and plane arrangements in three dimensions. (English) Zbl 0985.60069 Am. Math. Mon. 106, No. 6, 502-524 (1999). Reviewer: Wolfgang König (Berlin) MSC: 60J10 60G50 52C35 PDFBibTeX XMLCite \textit{L. J. Billera} et al., Am. Math. Mon. 106, No. 6, 502--524 (1999; Zbl 0985.60069) Full Text: DOI
Ambartzumian, R. V. Rough differentiability of planar Gaussian random fields. (English. Russian original) Zbl 0973.60050 J. Contemp. Math. Anal., Armen. Acad. Sci. 34, No. 1, 1-13 (1999); translation from Izv. Nats. Akad. Nauk Armen., Mat. 34, No. 1, 5-17 (1999). Reviewer: V.Oganyan (Erevan) MSC: 60G60 60G50 52A10 PDFBibTeX XMLCite \textit{R. V. Ambartzumian}, J. Contemp. Math. Anal., Armen. Acad. Sci. 34, No. 1, 1--13 (1999; Zbl 0973.60050); translation from Izv. Nats. Akad. Nauk Armen., Mat. 34, No. 1, 5--17 (1999)
Brown, Kenneth S.; Diaconis, Persi Random walks and hyperplane arrangements. (English) Zbl 0938.60064 Ann. Probab. 26, No. 4, 1813-1854 (1998). MSC: 60J10 52C35 60G50 PDFBibTeX XMLCite \textit{K. S. Brown} and \textit{P. Diaconis}, Ann. Probab. 26, No. 4, 1813--1854 (1998; Zbl 0938.60064) Full Text: DOI
Virág, Bálint Random walks on finite convex sets of lattice points. (English) Zbl 0918.60054 J. Theor. Probab. 11, No. 4, 935-951 (1998). Reviewer: G.Oprişan (Bucureşti) MSC: 60G50 52A20 06B99 PDFBibTeX XMLCite \textit{B. Virág}, J. Theor. Probab. 11, No. 4, 935--951 (1998; Zbl 0918.60054) Full Text: DOI
Bollobás, Béla Volume estimates and rapid mixing. (English) Zbl 0910.52002 Levy, Silvio (ed.), Flavors of geometry. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 31, 151-182 (1997). Reviewer: V.Oganyan (Erevan) MSC: 52A22 52A20 60G50 28A75 PDFBibTeX XMLCite \textit{B. Bollobás}, Math. Sci. Res. Inst. Publ. 31, 151--182 (1997; Zbl 0910.52002) Full Text: Link
Dubejko, Tomasz Circle-packing connections with random walks and a finite volume method. (English) Zbl 0912.52010 Séminaire de théorie spectrale et géométrie. Année 1996-1997. St. Martin D’Hères: Univ. de Grenoble I, Institut Fourier, Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 15, 153-161 (1997). Reviewer: W.Weil (Karlsruhe) MSC: 52C15 60G50 05B40 35J05 PDFBibTeX XMLCite \textit{T. Dubejko}, in: Séminaire de théorie spectrale et géométrie. Année 1996-1997. St. Martin D'Hères: Univ. de Grenoble I, Institut Fourier. 153--161 (1997; Zbl 0912.52010) Full Text: EuDML
Mathéus, Frédéric Circle packings and Liouville theorem (after T. Dubejko). (Empilements de cercles et théorème de Liouville (d’après T. Dubejko).) (French) Zbl 0912.52011 Séminaire de théorie spectrale et géométrie. Année 1996-1997. St. Martin D’Hères: Univ. de Grenoble I, Institut Fourier, Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 15, 53-58 (1997). Reviewer: W.Weil (Karlsruhe) MSC: 52C15 30C80 05B40 60G50 PDFBibTeX XMLCite \textit{F. Mathéus}, in: Séminaire de théorie spectrale et géométrie. Année 1996-1997. St. Martin D'Hères: Univ. de Grenoble I, Institut Fourier. 53--58 (1997; Zbl 0912.52011)
Dubejko, Tomasz Random walks on circle packings. (English) Zbl 0898.60072 Dodziuk, Józef (ed.) et al., Lipa’s legacy. Proceedings of the 1st Bers colloquium, New York, NY, October 19–20, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 211, 169-182 (1997). MSC: 60G50 52C15 30C62 30G25 PDFBibTeX XMLCite \textit{T. Dubejko}, Contemp. Math. 211, 169--182 (1997; Zbl 0898.60072) Full Text: arXiv
Calogero, A. On the edge graph of a spatial tiling. (English) Zbl 0885.52017 Boll. Unione Mat. Ital., VII. Ser., B 11, No. 1, 187-202 (1997). Reviewer: L.Balke (Bonn) MSC: 52C22 05C99 60G50 PDFBibTeX XMLCite \textit{A. Calogero}, Boll. Unione Mat. Ital., VII. Ser., B 11, No. 1, 187--202 (1997; Zbl 0885.52017)
Kannan, Ravi; Lovász, László; Simonovits, Miklós Random walks and an \(O^*(n^5)\) volume algorithm for convex bodies. (English) Zbl 0895.60075 Random Struct. Algorithms 11, No. 1, 1-50 (1997). MSC: 60G50 52A20 PDFBibTeX XMLCite \textit{R. Kannan} et al., Random Struct. Algorithms 11, No. 1, 1--50 (1997; Zbl 0895.60075) Full Text: DOI
Dubejko, Tomasz Recurrent random walks, Liouville’s theorem and circle packings. (English) Zbl 0888.30005 Math. Proc. Camb. Philos. Soc. 121, No. 3, 531-546 (1997). Reviewer: J.Linhart (Salzburg) MSC: 30C20 30C62 60G50 52C15 PDFBibTeX XMLCite \textit{T. Dubejko}, Math. Proc. Camb. Philos. Soc. 121, No. 3, 531--546 (1997; Zbl 0888.30005) Full Text: DOI arXiv
Benjamini, Itai; Schramm, Oded Random walks and harmonic functions on infinite planar graphs using square tilings. (English) Zbl 0862.60053 Ann. Probab. 24, No. 3, 1219-1238 (1996). MSC: 60G50 60J45 52C20 PDFBibTeX XMLCite \textit{I. Benjamini} and \textit{O. Schramm}, Ann. Probab. 24, No. 3, 1219--1238 (1996; Zbl 0862.60053) Full Text: DOI
Leader, I.; Radcliffe, A. J. Littlewood-Offord inequalities for random variables. (English) Zbl 0792.60036 SIAM J. Discrete Math. 7, No. 1, 90-101 (1994). MSC: 60G50 06A07 52A40 PDFBibTeX XMLCite \textit{I. Leader} and \textit{A. J. Radcliffe}, SIAM J. Discrete Math. 7, No. 1, 90--101 (1994; Zbl 0792.60036) Full Text: DOI
Calogero, A. Strong isoperimetric inequality for the edge graph of a tiling of the plane. (English) Zbl 0815.05023 Arch. Math. 61, No. 6, 584-595 (1993). MSC: 05B45 05C99 52C20 52A40 60G50 60J10 PDFBibTeX XMLCite \textit{A. Calogero}, Arch. Math. 61, No. 6, 584--595 (1993; Zbl 0815.05023) Full Text: DOI
Baker, B. M.; Handelman, D. E. Positive polynomials and time dependent integer-valued random variables. (English) Zbl 0774.60032 Can. J. Math. 44, No. 1, 3-41 (1992). MSC: 60F15 60G50 19K14 46L80 46A55 26D99 46A40 60F20 52A07 60J50 62E20 PDFBibTeX XMLCite \textit{B. M. Baker} and \textit{D. E. Handelman}, Can. J. Math. 44, No. 1, 3--41 (1992; Zbl 0774.60032) Full Text: DOI
Lovász, László; Simonovits, Miklós On the randomized complexity of volume and diameter. (English) Zbl 0942.68583 33rd annual symposium on Foundations of computer science (FOCS). Proceedings, Pittsburgh, PA, USA, October 24-27, 1992. Washington, DC: IEEE Computer Society Press, 482-491 (1992). MSC: 68Q25 60G50 52A27 PDFBibTeX XMLCite \textit{L. Lovász} and \textit{M. Simonovits}, in: 33rd annual symposium on Foundations of computer science (FOCS). Proceedings, Pittsburgh, PA, USA, October 24--27, 1992. Washington, DC: IEEE Computer Society Press. 482--491 (1992; Zbl 0942.68583)
Dyer, Martin; Frieze, Alan; Kannan, Ravi A random polynomial-time algorithm for approximating the volume of convex bodies. (English) Zbl 0799.68107 J. Assoc. Comput. Mach. 38, No. 1, 1-17 (1991). MSC: 68W10 60G50 68U05 52A20 PDFBibTeX XMLCite \textit{M. Dyer} et al., J. Assoc. Comput. Mach. 38, No. 1, 1--17 (1991; Zbl 0799.68107) Full Text: DOI
Ledoux, Michel; Talagrand, Michel Probability in Banach spaces. Isoperimetry and processes. (English) Zbl 0748.60004 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, 23. Berlin etc.: Springer-Verlag. xii, 480 p. (1991). Reviewer: S.A.Chobanjan (Tbilisi) MSC: 60Bxx 60-02 60G15 60G17 60G50 46Bxx 28C20 49R50 52A40 62G30 60E15 PDFBibTeX XMLCite \textit{M. Ledoux} and \textit{M. Talagrand}, Probability in Banach spaces. Isoperimetry and processes. Berlin etc.: Springer-Verlag (1991; Zbl 0748.60004)
Handelman, David E. Positive polynomials, convex integral polytopes, and a random walk problem. (English) Zbl 0654.46059 Lecture Notes in Mathematics, 1282. Berlin etc.: Springer-Verlag. XI, 136 p.; DM 23.00 (1987). MSC: 46L80 46L55 60G50 13B25 22D40 52Bxx 13D25 PDFBibTeX XML
Kemperman, J. H. B. Decomposing \(R^ d\) into finitely many semigroups. (English) Zbl 0624.60014 Indag. Math. 48, 71-78 (1986). Reviewer: J.G.Gorgadze MSC: 60B99 52A20 60G50 PDFBibTeX XMLCite \textit{J. H. B. Kemperman}, Indag. Math. 48, 71--78 (1986; Zbl 0624.60014)
Kanter, Marek Probability inequalities for convex sets and multidimensional concentration functions. (English) Zbl 0347.60043 J. multivariate Analysis 6, 222-236 (1976). MSC: 60G50 60C05 60D05 52A20 PDFBibTeX XMLCite \textit{M. Kanter}, J. Multivariate Anal. 6, 222--236 (1976; Zbl 0347.60043) Full Text: DOI