Nguyen, Hoi H.; Van Peski, Roger Universality for cokernels of random matrix products. (English) Zbl 07801728 Adv. Math. 438, Article ID 109451, 70 p. (2024). MSC: 15B52 15B36 22E35 60B20 60C05 05E05 PDFBibTeX XMLCite \textit{H. H. Nguyen} and \textit{R. Van Peski}, Adv. Math. 438, Article ID 109451, 70 p. (2024; Zbl 07801728) Full Text: DOI arXiv
Rajkumar, Rahul; Weisbart, David Components and exit times of Brownian motion in two or more \(p\)-adic dimensions. (English) Zbl 07823634 J. Fourier Anal. Appl. 29, No. 6, Paper No. 75, 28 p. (2023). MSC: 60-XX 35-XX PDFBibTeX XMLCite \textit{R. Rajkumar} and \textit{D. Weisbart}, J. Fourier Anal. Appl. 29, No. 6, Paper No. 75, 28 p. (2023; Zbl 07823634) Full Text: DOI arXiv OA License
Sugita, Hiroshi Probabilistic proof of the mean-value theorem for \([0, 1]\)-valued multiplicative functions by means of the adelic formulation. (English) Zbl 07797619 Kyushu J. Math. 77, No. 2, 355-366 (2023). MSC: 11N37 60B05 11K41 PDFBibTeX XMLCite \textit{H. Sugita}, Kyushu J. Math. 77, No. 2, 355--366 (2023; Zbl 07797619) Full Text: DOI
Ait El Manssour, Rida; El Maazouz, Yassine; Kaya, Enis; Rose, Kemal Lines on \(p\)-adic and real cubic surfaces. (English) Zbl 07785462 Abh. Math. Semin. Univ. Hamb. 93, No. 2, 149-162 (2023). MSC: 14Q10 14N10 60B99 PDFBibTeX XMLCite \textit{R. Ait El Manssour} et al., Abh. Math. Semin. Univ. Hamb. 93, No. 2, 149--162 (2023; Zbl 07785462) Full Text: DOI arXiv
Rahmatullaev, Muzaffar; Tukhtabaev, Akbarkhuja Some non-periodic \(p\)-adic generalized Gibbs measures for the Ising model on a Cayley tree of order \(k\). (English) Zbl 07749836 Math. Phys. Anal. Geom. 26, No. 3, Paper No. 22, 23 p. (2023). Reviewer: Sergey Ludkovsky (Moskva) MSC: 82B20 82B26 60D99 37P20 26E30 05C90 PDFBibTeX XMLCite \textit{M. Rahmatullaev} and \textit{A. Tukhtabaev}, Math. Phys. Anal. Geom. 26, No. 3, Paper No. 22, 23 p. (2023; Zbl 07749836) Full Text: DOI
Cho, Ilwoo Constructive analysis of semicircular elements. From orthogonal projections to semicircular elements. (English) Zbl 07701595 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-44833-6/hbk; 978-1-032-44981-4/pbk; 978-1-003-37481-7/ebook). ix, 188 p. (2023). Reviewer: Uwe Franz (Besançon) MSC: 46-02 46S10 46L54 46L55 46L60 47L30 11R56 PDFBibTeX XMLCite \textit{I. Cho}, Constructive analysis of semicircular elements. From orthogonal projections to semicircular elements. Boca Raton, FL: CRC Press (2023; Zbl 07701595) Full Text: DOI
O’Desky, Andrew; Richman, David Harry Derangements and the \(p\)-adic incomplete gamma function. (English) Zbl 1523.33009 Trans. Am. Math. Soc. 376, No. 2, 1065-1087 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 33E50 11S80 33B20 PDFBibTeX XMLCite \textit{A. O'Desky} and \textit{D. H. Richman}, Trans. Am. Math. Soc. 376, No. 2, 1065--1087 (2023; Zbl 1523.33009) Full Text: DOI arXiv
Li, Xiaojian; Reiter, Jay; Tang, Shiang; Wang, Napoleon; Yi, Jin \(p\)-adic incomplete gamma functions and Artin-Hasse-type series. (English) Zbl 1528.33025 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 4, 335-343 (2022). MSC: 33E50 33B20 05A05 11S80 PDFBibTeX XMLCite \textit{X. Li} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 4, 335--343 (2022; Zbl 1528.33025) Full Text: DOI arXiv
Weisbart, David Estimates of certain exit probabilities for \(p\)-adic Brownian bridges. (English) Zbl 1507.60051 J. Theor. Probab. 35, No. 3, 1878-1897 (2022). MSC: 60G22 60B15 PDFBibTeX XMLCite \textit{D. Weisbart}, J. Theor. Probab. 35, No. 3, 1878--1897 (2022; Zbl 1507.60051) Full Text: DOI arXiv
Ighachane, Mohamed Amine; Benabdi, El Hassan; Akkouchi, Mohamed A new refinement of the generalized Hölder’s inequality with applications. (English) Zbl 1502.26018 Proyecciones 41, No. 3, 643-661 (2022). MSC: 26D07 33B15 33B20 PDFBibTeX XMLCite \textit{M. A. Ighachane} et al., Proyecciones 41, No. 3, 643--661 (2022; Zbl 1502.26018) Full Text: DOI
Yalcin, Fusun; Simsek, Yilmaz Formulas for characteristic function and moment generating functions of beta type distribution. (English) Zbl 1493.62258 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 86, 14 p. (2022). MSC: 62G30 05A15 11B73 11B83 11S80 26C05 42A61 60E05 60E10 62E15 PDFBibTeX XMLCite \textit{F. Yalcin} and \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 86, 14 p. (2022; Zbl 1493.62258) Full Text: DOI
Simsek, Yilmaz; Kucukoglu, Irem Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions. (English) Zbl 1508.11037 Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 795-857 (2021). MSC: 11B83 11S80 60C05 PDFBibTeX XMLCite \textit{Y. Simsek} and \textit{I. Kucukoglu}, Springer Optim. Appl. 179, 795--857 (2021; Zbl 1508.11037) Full Text: DOI
Casas-Sánchez, O. F.; Galeano-Peñaloza, J.; Rodríguez-Vega, J. J. \(p\)-adic Markov process and the problem of first return over balls. (English) Zbl 1480.60011 Ukr. Math. J. 73, No. 7, 1050-1062 (2021) and Ukr. Mat. Zh. 73, No. 7, 902-912 (2021). Reviewer: Göran Högnäs (Åbo) MSC: 60B99 60J25 60G50 82C41 35S10 PDFBibTeX XMLCite \textit{O. F. Casas-Sánchez} et al., Ukr. Math. J. 73, No. 7, 1050--1062 (2021; Zbl 1480.60011) Full Text: DOI arXiv
Weisbart, David On infinitesimal generators and Feynman-Kac integrals of adelic diffusion. (English) Zbl 1480.60003 J. Math. Phys. 62, No. 10, Article ID 103504, 22 p. (2021). MSC: 60B05 60J60 11R56 PDFBibTeX XMLCite \textit{D. Weisbart}, J. Math. Phys. 62, No. 10, Article ID 103504, 22 p. (2021; Zbl 1480.60003) Full Text: DOI arXiv
Alp, Necmettin; SarıKaya, M. Zeki \(\overline{q}\)-gamma-beta functions on quantum integral. (English) Zbl 1467.33001 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 28, No. 1, 37-49 (2021). MSC: 33B20 11S80 45P05 PDFBibTeX XMLCite \textit{N. Alp} and \textit{M. Z. SarıKaya}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 28, No. 1, 37--49 (2021; Zbl 1467.33001) Full Text: Link
Yakir, Oren Fluctuations of linear statistics for Gaussian perturbations of the lattice \(\mathbb{Z}^d\). (English) Zbl 1460.60043 J. Stat. Phys. 182, No. 3, Paper No. 58, 22 p. (2021). MSC: 60G55 60E07 60B15 11F85 43A25 11R56 PDFBibTeX XMLCite \textit{O. Yakir}, J. Stat. Phys. 182, No. 3, Paper No. 58, 22 p. (2021; Zbl 1460.60043) Full Text: DOI arXiv
Tran, Ngoc Mai Tropical Gaussians: a brief survey. (English) Zbl 1461.62232 Algebr. Stat. 11, No. 2, 155-168 (2020). MSC: 62R01 60E05 14F30 14T90 PDFBibTeX XMLCite \textit{N. M. Tran}, Algebr. Stat. 11, No. 2, 155--168 (2020; Zbl 1461.62232) Full Text: DOI arXiv
Ny, A. Le; Liao, L.; Rozikov, U. A. \(p\)-adic boundary laws and Markov chains on trees. (English) Zbl 1462.82015 Lett. Math. Phys. 110, No. 10, 2725-2741 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B26 46S10 12J12 60K35 60J20 05C05 PDFBibTeX XMLCite \textit{A. Le Ny} et al., Lett. Math. Phys. 110, No. 10, 2725--2741 (2020; Zbl 1462.82015) Full Text: DOI arXiv
Cho, Ilwoo Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\). (English) Zbl 1456.46053 Electron. Res. Arch. 28, No. 2, 739-776 (2020). MSC: 46L54 47L30 11R56 47L55 47S10 PDFBibTeX XMLCite \textit{I. Cho}, Electron. Res. Arch. 28, No. 2, 739--776 (2020; Zbl 1456.46053) Full Text: DOI
Kochubei, Anatoly N.; Kondratiev, Yuri Representations of the infinite-dimensional \(p\)-adic affine group. (English) Zbl 1441.22032 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 1, Article ID 2050002, 11 p. (2020). MSC: 22E66 60B15 PDFBibTeX XMLCite \textit{A. N. Kochubei} and \textit{Y. Kondratiev}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 1, Article ID 2050002, 11 p. (2020; Zbl 1441.22032) Full Text: DOI arXiv
Yasuda, Kumi Large deviations for scaled sums of \(p\)-adic-valued rotation-symmetric independent and identically distributed random variables. (English) Zbl 1445.60009 J. Theor. Probab. 33, No. 2, 1196-1210 (2020). Reviewer: Weiping Li (Stillwater) MSC: 60B10 60F10 PDFBibTeX XMLCite \textit{K. Yasuda}, J. Theor. Probab. 33, No. 2, 1196--1210 (2020; Zbl 1445.60009) Full Text: DOI
Myronyuk, Margaryta Independent linear forms on the group \(\Omega_p\). (English) Zbl 1431.60006 J. Theor. Probab. 33, No. 1, 1-21 (2020). MSC: 60B15 62E10 43A35 PDFBibTeX XMLCite \textit{M. Myronyuk}, J. Theor. Probab. 33, No. 1, 1--21 (2020; Zbl 1431.60006) Full Text: DOI arXiv
Cho, Ilwoo Circular-like and circular elements in free product Banach \({*}\)-algebras induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes \(p\). (English) Zbl 1439.46052 Dutta, Hemen (ed.) et al., Applied mathematical analysis: theory, methods, and applications. Cham: Springer. Stud. Syst. Decis. Control 177, 605-654 (2020). MSC: 46L54 46L53 11R56 46L09 PDFBibTeX XMLCite \textit{I. Cho}, Stud. Syst. Decis. Control 177, 605--654 (2020; Zbl 1439.46052) Full Text: DOI
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
Cho, Ilwoo; Jorgensen, Palle E. T. Deformation of semicircular and circular laws via \(p\)-adic number fields and sampling of primes. (English) Zbl 1452.46052 Opusc. Math. 39, No. 6, 773-813 (2019). MSC: 46L54 46S10 47L30 47L55 60B05 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Opusc. Math. 39, No. 6, 773--813 (2019; Zbl 1452.46052) Full Text: DOI
Cho, Ilwoo Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes. (English) Zbl 1428.11102 Complex Anal. Oper. Theory 13, No. 7, 3169-3206 (2019). MSC: 11F85 11G15 11R47 11R56 46L10 46L54 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 13, No. 7, 3169--3206 (2019; Zbl 1428.11102) Full Text: DOI
Chang, Chieh-Yu; Mishiba, Yoshinori On multiple polylogarithms in characteristic \(p\): \(v\)-adic vanishing versus \(\infty\)-adic Eulerianness. (English) Zbl 1479.11158 Int. Math. Res. Not. 2019, No. 3, 923-947 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11M38 11F67 11J93 11M32 11R58 33B20 33E50 PDFBibTeX XMLCite \textit{C.-Y. Chang} and \textit{Y. Mishiba}, Int. Math. Res. Not. 2019, No. 3, 923--947 (2019; Zbl 1479.11158) Full Text: DOI arXiv
Lachaud, Gilles The distribution of the trace in the compact group of type \(\mathbf{G}_2\). (English) Zbl 1443.11158 Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 79-103 (2019). MSC: 11L07 14D05 20G41 22E45 60B15 60B20 11K36 33D80 PDFBibTeX XMLCite \textit{G. Lachaud}, Contemp. Math. 722, 79--103 (2019; Zbl 1443.11158) Full Text: DOI
Evans, Steven N.; Raban, Daniel Rotatable random sequences in local fields. (English) Zbl 1447.60039 Electron. Commun. Probab. 24, Paper No. 37, 12 p. (2019). MSC: 60E05 60G09 PDFBibTeX XMLCite \textit{S. N. Evans} and \textit{D. Raban}, Electron. Commun. Probab. 24, Paper No. 37, 12 p. (2019; Zbl 1447.60039) Full Text: DOI arXiv Euclid
Bendikov, Alexander; Cygan, Wojciech On the rate of convergence in the central limit theorem for hierarchical Laplacians. (English) Zbl 1416.60042 ESAIM, Probab. Stat. 23, 68-81 (2019). MSC: 60F05 12J25 47S10 60B05 60B10 PDFBibTeX XMLCite \textit{A. Bendikov} and \textit{W. Cygan}, ESAIM, Probab. Stat. 23, 68--81 (2019; Zbl 1416.60042) Full Text: DOI arXiv
Caruso, Xavier Almost all non-archimedean Kakeya sets have measure zero. (English) Zbl 1483.60004 Confluentes Math. 10, No. 1, 3-40 (2018). MSC: 60B05 05B30 11K41 28A80 PDFBibTeX XMLCite \textit{X. Caruso}, Confluentes Math. 10, No. 1, 3--40 (2018; Zbl 1483.60004) Full Text: DOI arXiv
Anashin, V. S.; Dragovich, B.; Kochubei, A. N.; Kozyrev, S. V.; Volovich, I. V. Andrei Yurievich Khrennikov and his research. (English) Zbl 1420.81005 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 344-347 (2018). MSC: 81P05 60A10 12H25 00A79 01A70 PDFBibTeX XMLCite \textit{V. S. Anashin} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 344--347 (2018; Zbl 1420.81005) 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
Hasegawa, Takehiro; Saigo, Hayato; Saito, Seiken; Sugiyama, Shingo A quantum probabilistic approach to Hecke algebras for \(\mathfrak{p}\)-adic \(\mathrm{PGL}_2\). (English) Zbl 1448.46052 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 3, Article ID 1850015, 10 p. (2018). MSC: 46L53 33D80 20C08 43A25 PDFBibTeX XMLCite \textit{T. Hasegawa} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 3, Article ID 1850015, 10 p. (2018; Zbl 1448.46052) Full Text: DOI arXiv
Bendikov, A.; Braverman, A.; Pike, J. Poisson statistics of eigenvalues in the hierarchical Dyson model. (English) Zbl 1414.60051 Theory Probab. Appl. 63, No. 1, 94-116 (2018) and Teor. Veroyatn. Primen. 63, No. 1, 117-144 (2018). MSC: 60H25 60B10 60F05 60G55 82B26 PDFBibTeX XMLCite \textit{A. Bendikov} et al., Theory Probab. Appl. 63, No. 1, 94--116 (2018; Zbl 1414.60051) 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
Applebaum, David Corrigendum to: “Probabilistic trace and Poisson summation formulae on locally compact abelian groups”. (English) Zbl 1377.60015 Forum Math. 29, No. 6, 1499-1500 (2017). MSC: 60B15 60E07 11F85 43A25 11R56 PDFBibTeX XMLCite \textit{D. Applebaum}, Forum Math. 29, No. 6, 1499--1500 (2017; Zbl 1377.60015) Full Text: DOI
Feldman, Gennadiy; Myronyuk, Margaryta On a characterization of idempotent distributions on discrete fields and on the field of \(p\)-adic numbers. (English) Zbl 1414.60004 J. Theor. Probab. 30, No. 2, 608-623 (2017). MSC: 60B15 62E10 43A05 PDFBibTeX XMLCite \textit{G. Feldman} and \textit{M. Myronyuk}, J. Theor. Probab. 30, No. 2, 608--623 (2017; Zbl 1414.60004) Full Text: DOI arXiv
Yasuda, Kumi Limit theorems for \(p\)-adic valued asymmetric semistable laws and processes. (English) Zbl 1381.60090 \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 1, 62-77 (2017). MSC: 60G52 60B05 46S10 60B15 60F05 PDFBibTeX XMLCite \textit{K. Yasuda}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 9, No. 1, 62--77 (2017; Zbl 1381.60090) Full Text: DOI
Applebaum, David Probabilistic trace and Poisson summation formulae on locally compact abelian groups. (English) Zbl 1360.60011 Forum Math. 29, No. 3, 501-517 (2017); corrigendum ibid. 29, No. 6, 1499-1500 (2017). MSC: 60B15 60E07 11F85 43A25 11R56 PDFBibTeX XMLCite \textit{D. Applebaum}, Forum Math. 29, No. 3, 501--517 (2017; Zbl 1360.60011) Full Text: DOI arXiv Link
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
Cho, Ilwoo \(p\)-adic free stochastic integrals for \(p\)-adic weighted-semicircular motions determined by primes \(p\). (English) Zbl 1406.46058 Lib. Math. (N.S.) 36, No. 2, 65-110 (2016). MSC: 46S10 46L10 46L54 47L30 47L55 11S80 PDFBibTeX XMLCite \textit{I. Cho}, Lib. Math. (N.S.) 36, No. 2, 65--110 (2016; Zbl 1406.46058)
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
Ilić Stepić, A.; Ognjanović, Z.; Ikodinović, N.; Perović, A. \(p\)-adic probability logics. (English) Zbl 1353.03013 \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 3, 177-203 (2016). MSC: 03B48 03B25 03B42 PDFBibTeX XMLCite \textit{A. Ilić Stepić} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 3, 177--203 (2016; Zbl 1353.03013) Full Text: DOI
Zelenov, Evgenii I. The \( p\)-adic law of large numbers. (English. Russian original) Zbl 1383.60030 Izv. Math. 80, No. 3, 489-499 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 3, 31-42 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60F15 60B15 60F05 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Izv. Math. 80, No. 3, 489--499 (2016; Zbl 1383.60030); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 3, 31--42 (2016) Full Text: DOI
Schumann, Andrew \(p\)-adic valued logical calculi in simulations of the slime mould behaviour. (English) Zbl 1398.03113 J. Appl. Non-Class. Log. 25, No. 2, 125-139 (2015). MSC: 03B50 92B05 PDFBibTeX XMLCite \textit{A. Schumann}, J. Appl. Non-Class. Log. 25, No. 2, 125--139 (2015; Zbl 1398.03113) Full Text: DOI
Feldman, Gennadiy On a characterization theorem for the group of \(p\)-adic numbers. (English) Zbl 1363.62009 Publ. Math. Debr. 87, No. 1-2, 147-166 (2015). Reviewer: Carlo Sempi (Lecce) MSC: 62E10 60B15 39B52 PDFBibTeX XMLCite \textit{G. Feldman}, Publ. Math. Debr. 87, No. 1--2, 147--166 (2015; Zbl 1363.62009) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle E. T. Free \(W^*\)-dynamical systems from \(p\)-adic number fields and the Euler totient function. (English) Zbl 1346.46058 Mathematics 3, No. 4, 1095-1138 (2015). MSC: 46L54 46S10 11A25 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Mathematics 3, No. 4, 1095--1138 (2015; Zbl 1346.46058) Full Text: DOI
Cho, Ilwoo On dynamical systems induced by \(p\)-adic number fields. (English) Zbl 1326.05170 Opusc. Math. 35, No. 4, 445-484 (2015). MSC: 46L55 11R56 37A55 37P20 46L54 47L15 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 35, No. 4, 445--484 (2015; Zbl 1326.05170) Full Text: DOI
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
Feldman, Gennadiy On the Skitovich-Darmois theorem for the group of \(p\)-adic numbers. (English) Zbl 1323.60011 J. Theor. Probab. 28, No. 2, 539-549 (2015). MSC: 60B15 62E10 43A35 PDFBibTeX XMLCite \textit{G. Feldman}, J. Theor. Probab. 28, No. 2, 539--549 (2015; Zbl 1323.60011) Full Text: DOI arXiv
Schumann, Andrew; Adamatzky, Andrew The double-slit experiment with Physarum polycephalum and \(p\)-adic valued probabilities and fuzziness. (English) Zbl 1338.68076 Int. J. Gen. Syst. 44, No. 3-4, 392-408 (2015). MSC: 68Q05 03B52 03E72 60A86 92C80 93C42 PDFBibTeX XMLCite \textit{A. Schumann} and \textit{A. Adamatzky}, Int. J. Gen. Syst. 44, No. 3--4, 392--408 (2015; Zbl 1338.68076) Full Text: DOI
Ilić Stepić, Angelina; Ognjanović, Zoran Logics for reasoning about processes of thinking with information coded by \(p\)-adic numbers. (English) Zbl 1382.03045 Stud. Log. 103, No. 1, 145-174 (2015). MSC: 03B48 03B25 03B42 68T27 PDFBibTeX XMLCite \textit{A. Ilić Stepić} and \textit{Z. Ognjanović}, Stud. Log. 103, No. 1, 145--174 (2015; Zbl 1382.03045) Full Text: DOI
Schumann, A. Reflexive games and non-Archimedean probabilities. (English) Zbl 1312.91025 \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 1, 66-79 (2014). MSC: 91A44 60A99 PDFBibTeX XMLCite \textit{A. Schumann}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 1, 66--79 (2014; Zbl 1312.91025) Full Text: DOI
Feldman, G. M. The Heyde theorem on the group of \(p\)-adic numbers. (English. Russian original) Zbl 1302.22006 Dokl. Math. 89, No. 3, 359-361 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 5, 528-531 (2014). MSC: 22E35 60B15 60E05 PDFBibTeX XMLCite \textit{G. M. Feldman}, Dokl. Math. 89, No. 3, 359--361 (2014; Zbl 1302.22006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 5, 528--531 (2014) Full Text: DOI
Ilić-Stepić, Angelina; Ognjanović, Zoran; Ikodinović, Nebojša Conditional \(p\)-adic probability logic. (English) Zbl 1433.03062 Int. J. Approx. Reasoning 55, No. 9, 1843-1865 (2014). MSC: 03B48 03B25 68T27 PDFBibTeX XMLCite \textit{A. Ilić-Stepić} et al., Int. J. Approx. Reasoning 55, No. 9, 1843--1865 (2014; Zbl 1433.03062) Full Text: DOI
Hančl, J.; Jaššová, A.; Lertchoosakul, P.; Nair, R. Polynomial actions in positive characteristic. (English) Zbl 1295.11132 Proc. Steklov Inst. Math. 280, Suppl. 2, S37-S42 (2013) and Sovrem. Probl. Mat. 16, 45-51 (2012). MSC: 11S05 11S80 11T06 37A45 PDFBibTeX XMLCite \textit{J. Hančl} et al., Proc. Steklov Inst. Math. 280, S37--S42 (2013; Zbl 1295.11132) Full Text: DOI
Tessera, Romain Isoperimetric profile and random walks on locally compact solvable groups. (English) Zbl 1267.43004 Rev. Mat. Iberoam. 29, No. 2, 715-737 (2013). Reviewer: Michael Voit (Dortmund) MSC: 43A70 20F65 22E35 60B15 PDFBibTeX XMLCite \textit{R. Tessera}, Rev. Mat. Iberoam. 29, No. 2, 715--737 (2013; Zbl 1267.43004) Full Text: DOI arXiv
Trojan, Bartosz Heat kernel and Green function estimates on affine buildings. arXiv:1310.2288 Preprint, arXiv:1310.2288 [math.PR] (2013). MSC: 33C52 42C05 51E24 60B15 60J10 20E42 20F55 22E35 31C35 43A90 60G50 BibTeX Cite \textit{B. Trojan}, ``Heat kernel and Green function estimates on affine buildings'', Preprint, arXiv:1310.2288 [math.PR] (2013) Full Text: arXiv OA License
Ilić-Stepić, Angelina; Ognjanović, Zoran; Ikodinović, Nebojša; Perović, Aleksandar A \(p\)-adic probability logic. (English) Zbl 1251.03027 Math. Log. Q. 58, No. 4-5, 263-280 (2012). Reviewer: Jürgen Landes (Canterbury) MSC: 03B48 03B25 03B42 68T27 PDFBibTeX XMLCite \textit{A. Ilić-Stepić} et al., Math. Log. Q. 58, No. 4--5, 263--280 (2012; Zbl 1251.03027) Full Text: DOI
Trinh, Khanh Duy Limit-periodic arithmetical functions and the ring of finite integral adeles. (English) Zbl 1294.11136 Lith. Math. J. 51, No. 4, 486-506 (2011). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 11K70 11K41 11N37 11N64 60B05 60G42 PDFBibTeX XMLCite \textit{K. D. Trinh}, Lith. Math. J. 51, No. 4, 486--506 (2011; Zbl 1294.11136) Full Text: DOI
Brofferio, Sara; Schapira, Bruno Poisson boundary of \(GL_d (\mathbb Q)\). (English) Zbl 1260.60155 Isr. J. Math. 185, 125-140 (2011). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 60J50 60B15 43A07 22E35 37A50 PDFBibTeX XMLCite \textit{S. Brofferio} and \textit{B. Schapira}, Isr. J. Math. 185, 125--140 (2011; Zbl 1260.60155) Full Text: DOI arXiv
Bikulov, Albert Kh. Problem of the first passage time for \(p\)-adic diffusion. (English) Zbl 1255.60010 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 2, 89-99 (2010). Reviewer: Michael Voit (Dortmund) MSC: 60B15 60J60 60J75 PDFBibTeX XMLCite \textit{A. Kh. Bikulov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 2, 89--99 (2010; Zbl 1255.60010) Full Text: DOI
Khrennikov, Andrei; Schumann, Andrew \(p\)-adic physics, non-well-founded reality and unconventional computing. (English) Zbl 1258.81047 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 4, 297-306 (2009). MSC: 81Q65 81P05 03E70 60A05 68Q05 11E95 PDFBibTeX XMLCite \textit{A. Khrennikov} and \textit{A. Schumann}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 4, 297--306 (2009; Zbl 1258.81047) Full Text: DOI
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. On \(p\)-adic mathematical physics. (English) Zbl 1187.81004 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1-17 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 81-02 81Q65 00A69 11S80 12J25 PDFBibTeX XMLCite \textit{B. Dragovich} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1--17 (2009; Zbl 1187.81004) Full Text: DOI arXiv
Brofferio, S. Poisson boundary for finitely generated groups of rational affinities. (English. Russian original) Zbl 1186.60075 J. Math. Sci., New York 156, No. 1, 1-10 (2009); translation from Sovrem. Mat. Prilozh. 50 (2007). MSC: 60J50 22E35 43A05 60B15 PDFBibTeX XMLCite \textit{S. Brofferio}, J. Math. Sci., New York 156, No. 1, 1--10 (2009; Zbl 1186.60075); translation from Sovrem. Mat. Prilozh. 50 (2007) Full Text: DOI arXiv
Lukierska-Walasek, K.; Topolski, K. Hausdorff dimension and hierarchical system dynamics. (English. Russian original) Zbl 1181.37005 Proc. Steklov Inst. Math. 265, 148-153 (2009); translation from Tr. Mat. Inst. Steklova 265, 159-164 (2009). Reviewer: Igor Andrianov (Köln) MSC: 37A50 PDFBibTeX XMLCite \textit{K. Lukierska-Walasek} and \textit{K. Topolski}, Proc. Steklov Inst. Math. 265, 148--153 (2009; Zbl 1181.37005); translation from Tr. Mat. Inst. Steklova 265, 159--164 (2009) Full Text: DOI arXiv
Sami, Mustapha Lower estimates for random walks on a class of amenable \(p\)-adic groups. (English) Zbl 1188.22005 Electron. J. Probab. 14, 1513-1531 (2009). Reviewer: Michael Voit (Dortmund) MSC: 22E35 60B15 60G50 PDFBibTeX XMLCite \textit{M. Sami}, Electron. J. Probab. 14, 1513--1531 (2009; Zbl 1188.22005) Full Text: DOI EuDML EMIS
Khrennikov, Andrei; Schumann, Andrew Physics beyond the set-theoretic axiom of foundation. (English) Zbl 1183.81010 Accardi, Luigi (ed.) et al., Foundations of probability and physics – 5. Växjö, Sweden, 24–27 August 2008. Proceedings of the international conference. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0636-0/hbk). AIP Conference Proceedings 1101, 374-380 (2009). MSC: 81P05 PDFBibTeX XMLCite \textit{A. Khrennikov} and \textit{A. Schumann}, AIP Conf. Proc. 1101, 374--380 (2009; Zbl 1183.81010)
Zhang, Xiong-Ying Riesz products on the ring of dyadic integers. (English) Zbl 1169.28002 J. Math. Anal. Appl. 357, No. 1, 103-114 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 28A33 28A80 60B15 11S80 43A75 PDFBibTeX XMLCite \textit{X.-Y. Zhang}, J. Math. Anal. Appl. 357, No. 1, 103--114 (2009; Zbl 1169.28002) Full Text: DOI
Avetisov, V. A.; Bikulov, A. Kh; Zubarev, A. P. First passage time distribution and the number of returns for ultrametric random walks. (English) Zbl 1162.82010 J. Phys. A, Math. Theor. 42, No. 8, Article ID 085003, 18 p. (2009). Reviewer: Achim Klenke (Mainz) MSC: 82B41 60B15 60J60 60J75 PDFBibTeX XMLCite \textit{V. A. Avetisov} et al., J. Phys. A, Math. Theor. 42, No. 8, Article ID 085003, 18 p. (2009; Zbl 1162.82010) Full Text: DOI arXiv
Raja, C. Robinson Edward; Schott, René Recurrent random walks on homogeneous spaces of \(p\)-adic algebraic groups of polynomial growth. (English) Zbl 1156.60028 Arch. Math. 91, No. 4, 379-384 (2008). MSC: 60G50 60B15 22D05 PDFBibTeX XMLCite \textit{C. R. E. Raja} and \textit{R. Schott}, Arch. Math. 91, No. 4, 379--384 (2008; Zbl 1156.60028) Full Text: DOI
Barczy, Mátyás; Bendikov, Alexander; Pap, Gyula Limit theorems on locally compact Abelian groups. (English) Zbl 1152.60011 Math. Nachr. 281, No. 12, 1708-1727 (2008). MSC: 60B10 60B15 PDFBibTeX XMLCite \textit{M. Barczy} et al., Math. Nachr. 281, No. 12, 1708--1727 (2008; Zbl 1152.60011) Full Text: DOI arXiv
Barczy, M.; Pap, G. Weakly infinitely divisible measures on some locally compact Abelian groups. (English) Zbl 1152.43002 Lith. Math. J. 48, No. 1, 17-29 (2008). Reviewer: Wilfried Hazod (Dortmund) MSC: 43A05 60B15 43A25 60E10 PDFBibTeX XMLCite \textit{M. Barczy} and \textit{G. Pap}, Lith. Math. J. 48, No. 1, 17--29 (2008; Zbl 1152.43002) Full Text: DOI arXiv
Haran, Shai M. J. Arithmetical investigations. Representation theory, orthogonal polynomials, and quantum interpolations. (English) Zbl 1151.11004 Lecture Notes in Mathematics 1941. Berlin: Springer (ISBN 978-3-540-78378-7/pbk). xii, 217 p. (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11S80 11S85 33D80 43A05 60B15 60J10 PDFBibTeX XMLCite \textit{S. M. J. Haran}, Arithmetical investigations. Representation theory, orthogonal polynomials, and quantum interpolations. Berlin: Springer (2008; Zbl 1151.11004) Full Text: DOI
Shah, Riddhi On the uniqueness of semistable embedding and domain of semistable attraction for probability measures on \(p\)-adic groups. (English) Zbl 1151.43001 Tokyo J. Math. 30, No. 2, 383-396 (2007). Reviewer: Gennadiy M. Fel’dman (Khar’kov) MSC: 43A05 60B15 PDFBibTeX XMLCite \textit{R. Shah}, Tokyo J. Math. 30, No. 2, 383--396 (2007; Zbl 1151.43001) Full Text: DOI
Schumann, Andrew \(p\)-adic multiple-validity and \(p\)-adic valued logical calculi. (English) Zbl 1129.03007 J. Mult.-Val. Log. Soft Comput. 13, No. 1-2, 29-60 (2007). MSC: 03B50 03B52 60A05 PDFBibTeX XMLCite \textit{A. Schumann}, J. Mult.-Val. Log. Soft Comput. 13, No. 1--2, 29--60 (2007; Zbl 1129.03007)
Khrennikov, Andrei \(p\)-adic and group valued probabilities. (English) Zbl 1146.60005 Chuong, N.M. (ed.) et al., Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-549-5/hbk). 291-309 (2007). Reviewer: Wilfried Hazod (Dortmund) MSC: 60A05 60B15 PDFBibTeX XMLCite \textit{A. Khrennikov}, in: Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10--15, 2005. Hackensack, NJ: World Scientific. 291--309 (2007; Zbl 1146.60005) Full Text: Link
Fan, Aihua; Zhang, Xiong Ying Riesz products on the ring of \(p\)-adic integers. (English) Zbl 1169.28001 C. R., Math., Acad. Sci. Paris 344, No. 7, 425-430 (2007). MSC: 28A33 28A80 60B15 11S80 43A75 PDFBibTeX XMLCite \textit{A. Fan} and \textit{X. Y. Zhang}, C. R., Math., Acad. Sci. Paris 344, No. 7, 425--430 (2007; Zbl 1169.28001) Full Text: DOI
Khrennikov, Andrei; Schumann, Andrew Logical approach to \(p\)-adic probabilities. (English) Zbl 1133.03327 Bull. Sect. Log., Univ. Łódź, Dep. Log. 35, No. 1, 49-57 (2006). MSC: 03B48 60A05 PDFBibTeX XMLCite \textit{A. Khrennikov} and \textit{A. Schumann}, Bull. Sect. Log., Univ. Łódź, Dep. Log. 35, No. 1, 49--57 (2006; Zbl 1133.03327)
Evans, Steven N. The expected number of zeros of a random system of \(p\)-adic polynomials. (English) Zbl 1130.60010 Electron. Commun. Probab. 11, 278-290 (2006). MSC: 60B99 11S80 30G06 PDFBibTeX XMLCite \textit{S. N. Evans}, Electron. Commun. Probab. 11, 278--290 (2006; Zbl 1130.60010) Full Text: DOI arXiv EuDML
Mustapha, Sami Gaussian estimates for random walks on some unimodular \(p\)-adic groups. (English) Zbl 1116.60017 J. Theor. Probab. 19, No. 4, 773-787 (2006). Reviewer: Alexander V. Bulinskij (Moskva) MSC: 60G50 60B15 22E35 PDFBibTeX XMLCite \textit{S. Mustapha}, J. Theor. Probab. 19, No. 4, 773--787 (2006; Zbl 1116.60017) Full Text: DOI
Haran, M. J. Shai [Yamasaki, Yoshinori] Arithmetical investigations. Representation theory, orthogonal polynomials and quantum interpolations. With notes by Yoshinori Yamasaki. (English) Zbl 1120.11001 COE Lecture Note 2. Fukuoka: Kyushu University, The 21st Century COE Program “DMHF”. xviii, 175 p. (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11S80 11S85 33D80 43A05 60B15 60J10 PDFBibTeX XMLCite \textit{M. J. S. Haran}, Arithmetical investigations. Representation theory, orthogonal polynomials and quantum interpolations. With notes by Yoshinori Yamasaki. Fukuoka: Kyushu University, The 21st Century COE Program ``DMHF'' (2006; Zbl 1120.11001)
Kaneko, Hiroshi \((r, p)\)-capacity and Hausdorff measure on a local field. (English) Zbl 1114.60007 Indag. Math., New Ser. 17, No. 2, 251-270 (2006). Reviewer: Peter Mörters (Bath) MSC: 60B99 28A78 PDFBibTeX XMLCite \textit{H. Kaneko}, Indag. Math., New Ser. 17, No. 2, 251--270 (2006; Zbl 1114.60007) Full Text: DOI
Brofferio, Sara The Poisson boundary of random rational affinities. (English) Zbl 1087.60011 Ann. Inst. Fourier 56, No. 2, 499-515 (2006). MSC: 60B99 60G50 43A05 22E35 PDFBibTeX XMLCite \textit{S. Brofferio}, Ann. Inst. Fourier 56, No. 2, 499--515 (2006; Zbl 1087.60011) Full Text: DOI arXiv Numdam EuDML
Mustapha, Sami Lower bounds for random walks on amenable \(p\)-adic groups. (Bornes inférieures pour les marches aléatoires sur les groupes \(p\)-adiques moyennables.) (French) Zbl 1102.60041 Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 1, 81-88 (2006). Reviewer: Fabio Scarabotti (Roma) MSC: 60G50 22E35 60B15 PDFBibTeX XMLCite \textit{S. Mustapha}, Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 1, 81--88 (2006; Zbl 1102.60041) Full Text: DOI Numdam EuDML
Mustapha, Sami On certain random walks on Sol(\(\mathbb Q_{p}\)). (English) Zbl 1081.60005 Int. J. Pure Appl. Math. 23, No. 3, 343-358 (2005). MSC: 60B15 60G50 82C41 PDFBibTeX XMLCite \textit{S. Mustapha}, Int. J. Pure Appl. Math. 23, No. 3, 343--358 (2005; Zbl 1081.60005)
Raja, C. R. E. On growth, recurrence and the Choquet-Deny theorem for \(p\)-adic Lie groups. (English) Zbl 1077.22013 Math. Z. 251, No. 4, 827-847 (2005). Reviewer: Osman Bizim (Bursa) MSC: 22E35 20E34 60B15 60G50 60J45 PDFBibTeX XMLCite \textit{C. R. E. Raja}, Math. Z. 251, No. 4, 827--847 (2005; Zbl 1077.22013) Full Text: DOI
Mustapha, Sami Random walks on unimodular \(p\)-adic groups. (English) Zbl 1076.60035 Stochastic Processes Appl. 115, No. 6, 927-937 (2005). Reviewer: Yasuhiro Asoo (Okayama) MSC: 60G50 60B15 22E35 PDFBibTeX XMLCite \textit{S. Mustapha}, Stochastic Processes Appl. 115, No. 6, 927--937 (2005; Zbl 1076.60035) Full Text: DOI
Jurzak, Jean-Paul A class of generalized gamma functions. (English) Zbl 1124.33002 Lett. Math. Phys. 71, No. 2, 159-171 (2005). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 33D05 11S80 33B20 PDFBibTeX XMLCite \textit{J.-P. Jurzak}, Lett. Math. Phys. 71, No. 2, 159--171 (2005; Zbl 1124.33002) Full Text: DOI arXiv
Khrennikov, A.; Yamada, S. On the concept of random sequence with respect to \(p\)-adic valued probabilities. (English. Russian original) Zbl 1090.60003 Theory Probab. Appl. 49, No. 1, 65-76 (2005); translation from Teor. Veroyatn. Primen. 49, No. 1, 54-69 (2004). MSC: 60A99 28E99 26E30 PDFBibTeX XMLCite \textit{A. Khrennikov} and \textit{S. Yamada}, Theory Probab. Appl. 49, No. 1, 65--76 (2004; Zbl 1090.60003); translation from Teor. Veroyatn. Primen. 49, No. 1, 54--69 (2004) Full Text: DOI
Brofferio, S. Renewal theory on the affine group of an oriented tree. (English) Zbl 1065.60123 J. Theor. Probab. 17, No. 4, 819-859 (2004). Reviewer: Aleksander Iksanov (Kiev) MSC: 60K05 60B15 PDFBibTeX XMLCite \textit{S. Brofferio}, J. Theor. Probab. 17, No. 4, 819--859 (2004; Zbl 1065.60123) Full Text: DOI
Khrennikov, Andrei Yu.; Nilsson, Marcus \(p\)-adic deterministic and random dynamics. (English) Zbl 1135.37003 Mathematics and its Applications (Dordrecht) 574. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2659-5/hbk). xviii, 270 p. (2004). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 37-02 37F99 11S85 28C10 28D15 37H99 37N25 60A05 92B20 PDFBibTeX XMLCite \textit{A. Yu. Khrennikov} and \textit{M. Nilsson}, \(p\)-adic deterministic and random dynamics. Dordrecht: Kluwer Academic Publishers (2004; Zbl 1135.37003)
Favre, Charles; Rivera-Letelier, Juan Brolin’s equidistribution theorem in \(p\)-adic dynamics. (Théorème d’équidistribution de Brolin en dynamique \(p\)-adique.) (French. Abridged English version) Zbl 1052.37039 C. R., Math., Acad. Sci. Paris 339, No. 4, 271-276 (2004). MSC: 37F10 32H50 11S85 PDFBibTeX XMLCite \textit{C. Favre} and \textit{J. Rivera-Letelier}, C. R., Math., Acad. Sci. Paris 339, No. 4, 271--276 (2004; Zbl 1052.37039) Full Text: DOI arXiv
Khrennikov, Andrei Interpretations of probability. Reprint. (English) Zbl 1060.81003 Utrecht: VSP (ISBN 90-6764-310-6/hbk). 228 p. (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81P05 60-02 81-02 60A05 28Axx 46N10 46N50 91E10 PDFBibTeX XMLCite \textit{A. Khrennikov}, Interpretations of probability. Reprint. Utrecht: VSP (2003; Zbl 1060.81003)
Kochubei, Anatoly N.; Sait-Ametov, Mustafa R. Interaction measures on the space of distributions over the field of \(p\)-adic numbers. (English) Zbl 1053.81067 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, No. 3, 389-411 (2003). Reviewer: Hideo Yamagata (Osaka) MSC: 81T08 11S85 11Z05 28C20 60B99 11S80 26E30 PDFBibTeX XMLCite \textit{A. N. Kochubei} and \textit{M. R. Sait-Ametov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, No. 3, 389--411 (2003; Zbl 1053.81067) Full Text: DOI arXiv
Khrennikov, Andrei Interference of probabilities and number field structure of quantum models. (English) Zbl 1037.81003 Ann. Phys. (8) 12, No. 10, 575-585 (2003). MSC: 81P05 PDFBibTeX XMLCite \textit{A. Khrennikov}, Ann. Phys. (8) 12, No. 10, 575--585 (2003; Zbl 1037.81003) Full Text: DOI arXiv
Evans, Steven N. Elementary divisors and determinants of random matrices over a local field. (English) Zbl 1075.15500 Stochastic Processes Appl. 102, No. 1, 89-102 (2002). MSC: 15B52 60B99 12J25 05A30 PDFBibTeX XMLCite \textit{S. N. Evans}, Stochastic Processes Appl. 102, No. 1, 89--102 (2002; Zbl 1075.15500) Full Text: DOI
Albeverio, Sergio; Zhao, Xuelei A remark on nonsymmetric stochastic processes on \(p\)-adics. (English) Zbl 0997.60051 Stochastic Anal. Appl. 20, No. 2, 243-261 (2002). MSC: 60G50 11E99 60B15 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{X. Zhao}, Stochastic Anal. Appl. 20, No. 2, 243--261 (2002; Zbl 0997.60051) Full Text: DOI