\(p\)-Adic Numbers, Ultrametric Analysis, and Applications Short Title: \(p\)-Adic Numbers Ultrametric Anal. Appl. Publisher: Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK “Nauka/Interperiodica”, Moscow ISSN: 2070-0466; 2070-0474/e Online: https://link.springer.com/journal/12607/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 375 Publications (since 2009) References Indexed: 371 Publications with 8,662 References. all top 5 Latest Issues 15, No. 1 (2023) 14, No. 4 (2022) 14, No. 3 (2022) 14, No. 2 (2022) 14, No. Suppl 1 (2022) 14, No. 1 (2022) 13, No. 4 (2021) 13, No. 3 (2021) 13, No. 2 (2021) 13, No. 1 (2021) 12, No. 4 (2020) 12, No. 3 (2020) 12, No. 2 (2020) 12, No. 1 (2020) 11, No. 4 (2019) 11, No. 3 (2019) 11, No. 2 (2019) 11, No. 1 (2019) 10, No. 4 (2018) 10, No. 3 (2018) 10, No. 2 (2018) 10, No. 1 (2018) 9, No. 4 (2017) 9, No. 3 (2017) 9, No. 2 (2017) 9, No. 1 (2017) 8, No. 4 (2016) 8, No. 3 (2016) 8, No. 2 (2016) 8, No. 1 (2016) 7, No. 4 (2015) 7, No. 3 (2015) 7, No. 2 (2015) 7, No. 1 (2015) 6, No. 4 (2014) 6, No. 3 (2014) 6, No. 2 (2014) 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4 Casas-Sánchez, Oscar Francisco 4 Chacón-Cortes, Leonardo Fabio 4 Digernes, Trond 4 Mukhamedov, Farruh Maksutovich 4 Natarajan, Pinnangudi Narayanasubramanian 4 Vladimirov, Vasiliĭ Sergeevich 3 Aguayo, José N. 3 Anashin, Vladimir Sergeevich 3 Bottazzi, Emanuele 3 Boussaf, Kamal 3 Chatyrko, Vitalij A. 3 Estala-Arias, Samuel 3 Galeano-Peñaloza, Jeanneth 3 Khakimov, Otabek N. 3 Kochubeĭ, Anatoliĭ Naumovych 3 Matsumoto, Hisaaki 3 Missarov, Mukadas D. 3 Mounkoro, Tongobè 3 Nova, Miguel 3 Ojeda, Jacqueline 3 Sakbaev, Vsevolod Zhanovich 3 Shelkovich, Vladimir M. 3 Trojovský, Pavel 3 Trushechkin, Anton Sergeevich 3 Varadarajan, Veeravalli S. 3 Yasuda, Kumi 3 Zelenov, Evgenii I. 2 Accardi, Luigi 2 Aguilar-Arteaga, Victor A. 2 An, Vu Hoai An 2 Aref’eva, Irina Yaroslavna 2 Blanco-Chacón, Iván 2 Cruz-López, Manuel 2 Diagana, Toka 2 Doğan, Mutlay 2 Dung, Kieu Huu 2 Dupré, Nicolas 2 Farkov, Yuriĭ Anatol’evich 2 Fioresi, Rita 2 Gát, György 2 Glöckner, Helge 2 Hùng, Lũ’ 2 Hussain, Amjad 2 Iijima, Ryota 2 Katanaev, Mikhaĭl Orinovich 2 Khachatryan, Aghavard Khachaturovich 2 Kozlov, Valeriĭ Vasil’evich 2 Lapidus, Michel L. 2 Lelis, Jean 2 Lengyel, Tamás 2 Lindahl, Karl-Olof 2 Ma, Teng 2 Maïga, Hamadoun 2 Mamghaderi, Hamid 2 Manin, Yuriĭ Ivanovich 2 Marques, Diego 2 Marrani, Alessio 2 Masiha, Hashem Parvaneh 2 Matevosyan, Hovik A. 2 Muci, Adrialy 2 Nagel, Enno 2 Ohya, Masanori 2 Olivos, Elena 2 Pechen, Alexander Nikolaevich 2 Qiu, Derong 2 Rakić, Zoran 2 Rodríguez Vega, John Jaime 2 Sarfraz, Naqash 2 Schmidt, Rene 2 Skopina, Maria A. 2 Sopin, Valeriĭ V. 2 Sylla, Djeidi 2 Tangara, Fana 2 Tukhtabaev, Akbarkhuja ...and 243 more Authors all top 5 Fields 110 Number theory (11-XX) 69 Functional analysis (46-XX) 56 Quantum theory (81-XX) 43 Operator theory (47-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 40 Dynamical systems and ergodic theory (37-XX) 35 Probability theory and stochastic processes (60-XX) 33 Field theory and polynomials (12-XX) 33 Real functions (26-XX) 27 Partial 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(45-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Manifolds and cell complexes (57-XX) 3 Operations research, mathematical programming (90-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 245 Publications have been cited 1,559 times in 802 Documents Cited by ▼ Year ▼ On \(p\)-adic mathematical physics. Zbl 1187.81004Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. 151 2009 Number theory as the ultimate physical theory. Zbl 1258.81074Volovich, Igor V. 76 2010 A \(p\)-adic model of DNA sequence and genetic code. Zbl 1187.92039Dragovich, B.; Dragovich, A. Yu. 49 2009 \(p\)-adic mathematical physics: the first 30 years. Zbl 1394.81009Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.; Zelenov, E. I. 40 2017 Using grossone to count the number of elements of infinite sets and the connection with bijections. Zbl 1259.03064Margenstern, Maurice 24 2011 \(p\)-adic valued quantization. Zbl 1187.81137Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrei Yu. 23 2009 van der Put basis and \(p\)-adic dynamics. Zbl 1250.37037Yurova, Ekaterina 23 2010 \(p\)-adic orthogonal wavelet bases. Zbl 1187.42033Khrennikov, A. Yu.; Shelkovich, V. M.; Skopina, M. 21 2009 On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree. Zbl 1268.82007Mukhamedov, Farrukh 21 2010 Diameter and diametrical pairs of points in ultrametric spaces. Zbl 1304.54049Dordovskyi, Dmitry; Dovgoshey, Oleksiy; Petrov, Eugeniy 21 2011 Multidimensional basis of \(p\)-adic wavelets and representation theory. Zbl 1187.42030Albeverio, Sergio; Kozyrev, Sergei V. 20 2009 Multidimensional Hausdorff operator on \(p\)-adic field. Zbl 1287.47059Volosivets, S. S. 20 2010 Digraph representations of rational functions over the \(p\)-adic numbers. Zbl 1259.37065Diao, Hansheng; Silva, Cesar E. 18 2011 On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function. Zbl 1268.11114Sergeyev, Yaroslav D. 17 2011 Automata finiteness criterion in terms of van der Put series of automata functions. Zbl 1262.11045Anashin, V. 16 2012 Weighted Hardy-Littlewood operators and commutators on \(p\)-adic functional spaces. Zbl 1271.42029Chuong, N. M.; Duong, D. V. 16 2013 Hausdorff operator of special kind in Morrey and Herz \(p\)-adic spaces. Zbl 1271.42038Volosivets, S. S. 16 2012 Frames of \(p\)-adic wavelets and orbits of the affine group. Zbl 1187.42029Albeverio, S.; Kozyrev, S. V. 15 2009 On the equations for \(p\) -adic closed and open strings. Zbl 1187.35305Vladimirov, V. S. 14 2009 Cyclotomy and endomotives. Zbl 1236.46067Marcolli, Matilde 14 2009 On spaces extremal for the Gomory-Hu inequality. Zbl 1343.05072Dovgoshey, O.; Petrov, E.; Teichert, H.-M. 14 2015 Ultrametricity and metric betweenness in tangent spaces to metric spaces. Zbl 1276.53052Dovgoshey, Oleksiy; Dordovskyi, Dmytro 14 2010 Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044Farkov, Yuri A.; Rodionov, Evgeny A. 14 2011 Some pathways in non-linear supersymmetry: special geometry Born-Infeld’s, cosmology and dualities. Zbl 1337.81069Ferrara, Sergio; Sagnotti, A. 14 2015 Non-Archimedean pseudodifferential operators and Feller semigroups. Zbl 1461.35259Torresblanca-Badillo, Anselmo; Zúñiga-Galindo, W. A. 13 2018 Trees and ultrametric Möbius structures. Zbl 1387.53022Beyrer, Jonas; Schroeder, Victor 13 2017 An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators. Zbl 1187.42034Khrennikov, Andrei Yu.; Shelkovich, Vladimir M. 13 2009 The \(p\)-adic weighted Hardy-Cesàro operators on weighted Morrey-Herz space. Zbl 1369.47080Chuong, N. M.; Duong, D. V. 13 2016 Functional classical mechanics and rational numbers. Zbl 1387.70003Trushechkin, Anton S.; Volovich, Igor V. 13 2009 From isomorphic rooted trees to isometric ultrametric spaces. Zbl 1435.54011Dovgoshey, Oleksiy; Petrov, Evgeniy 12 2018 The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces. Zbl 1478.42022Hussain, Amjad; Sarfraz, Naqash 12 2019 \(p\)-adic elliptic quadratic forms, parabolic-type pseudodifferential equations with variable coefficients and Markov processes. Zbl 1317.35309Casas-Sánchez, O. F.; Zúñiga-Galindo, W. A. 12 2014 Weak similarities of finite ultrametric and semimetric spaces. Zbl 1403.54019Petrov, Evgeniy 12 2018 On measure-preserving functions over \(\mathbb Z_3\). Zbl 1291.37122Yurova, Ekaterina 12 2012 Geometry of non-Archimedean Gromov-Hausdorff distance. Zbl 1253.53041Qiu, Derong 12 2009 Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space. Zbl 1496.42034Volosivets, S. S. 11 2017 On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148Rozikov, U. A.; Sattarov, I. A. 11 2014 Dynamics on rugged landscapes of energy and ultrametric diffusion. Zbl 1253.82040Kozyrev, Sergei V. 11 2010 Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\). Zbl 1273.42036King, Emily J.; Skopina, Maria A. 11 2010 Hysteresis model of unconscious-conscious interconnection: exploring dynamics on \(m\)-adic trees. Zbl 1336.91061Iurato, Giuseppe; Khrennikov, Andrei 11 2015 Order, type and cotype of growth for \(p\)-adic entire functions: a survey with additional properties. Zbl 1432.30031Boussaf, Kamal; Boutabaa, Abdelbaki; Escassut, Alain 10 2016 Twisted spectral triples and quantum statistical mechanical systems. Zbl 1315.58006Greenfield, M.; Marcolli, M.; Teh, K. 10 2014 On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree. Zbl 1356.82022Mukhamedov, F.; Khakimov, O. 10 2016 On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains. Zbl 1375.31010Matevossian, Hovik A. 10 2017 \(p\)-adic renormalization group solutions and the Euclidean renormalization group conjectures. Zbl 1251.81047Missarov, M. D. 10 2012 Finite ultrametric balls. Zbl 1432.54027Dovgoshey, Oleksiy 9 2019 Completeness in generalized ultrametric spaces. Zbl 1320.54017Ackerman, N. L. 9 2013 Cognitive processes of the brain: an ultrametric model of information dynamics in unconsciousness. Zbl 1354.91125Khrennikov, A. Yu. 9 2014 On solutions of the Dirichlet problem for the polyharmonic equation in unbounded domains. Zbl 1325.35032Matevossian, H. A. 9 2015 The comb representation of compact ultrametric spaces. Zbl 1379.54023Lambert, Amaury; Uribe Bravo, Gerónimo 9 2017 Properties and morphisms of finite ultrametric spaces and their representing trees. Zbl 1433.54015Dovgoshey, Oleksiy; Petrov, Evgeniy 9 2019 Some aspects of \(m\)-adic analysis and its applications to \(m\)-adic stochastic processes. Zbl 1268.60076Dolgopolov, Mikhail V.; Zubarev, Alexander P. 9 2011 Formal foundations for the origins of human consciousness. Zbl 1407.91210Iurato, Giuseppe; Khrennikov, Andrei; Murtagh, F. 8 2016 Multipliers for the symmetry groups of \(p\)-adic spacetime. Zbl 1187.81141Varadarajan, V. S. 8 2009 On a generalized \(p\)-adic Gibbs measure for Ising model on trees. Zbl 1311.82011Khakimov, O. N. 8 2014 \(p\)-adic (3, 2)-rational dynamical systems. Zbl 1347.37149Sattarov, I. A. 8 2015 On \(p\)-adic Gibbs measures for Ising model with four competing interactions. Zbl 1285.82013Khakimov, O. N. 8 2013 An embedding, an extension, and an interpolation of ultrametrics. Zbl 1481.54025Ishiki, Yoshito 8 2021 On \(p\)-adic classification. Zbl 1250.68221Bradley, Patrick Erik 8 2009 Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls. Zbl 1260.91221Khrennikov, Andrei Yu. 8 2010 On spaces of \(p\)-adic vector measures. Zbl 1188.46029Katsaras, A. K. 7 2009 Invariant ultrametrics and Markov processes on the finite adèle ring of \(\mathbb{Q}\). Zbl 1370.11127Cruz-López, Manuel; Estala-Arias, Samuel 7 2016 The structures of Hausdorff metric in non-Archimedean spaces. Zbl 1318.54015Qiu, Derong 7 2014 \(p\)-adic probability logics. Zbl 1353.03013Ilić Stepić, A.; Ognjanović, Z.; Ikodinović, N.; Perović, A. 7 2016 Recurrence equations over trees in a non-Archimedean context. Zbl 1420.47027Mukhamedov, F. 7 2014 Multidimensional \(p\)-adic wavelets for the deformed metric. Zbl 1257.42045Albeverio, Sergio; Kozyrev, Sergei V. 7 2010 Heat kernels for isotropic-like Markov generators on ultrametric spaces: a survey. Zbl 1428.46047Bendikov, Alexander 6 2018 Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler’s expansion. Zbl 1425.26022Jeong, Sangtae 6 2018 Active beam splitting attack applied to differential phase shift quantum key distribution protocol. Zbl 1420.81008Avanesov, A. S.; Kronberg, D. A.; Pechen, A. N. 6 2018 On some extremal properties of finite ultrametric spaces. Zbl 1473.54027Dovgoshey, Oleksiy; Petrov, Evgeniy 6 2020 Optimal weak type estimates for \(p\)-adic Hardy operators. Zbl 1434.42034Hussain, Amjad; Sarfraz, Naqash 6 2020 An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004Platonov, Sergey S. 6 2017 From data to the \(p\)-adic or ultrametric model. Zbl 1187.62111Murtagh, F. 6 2009 Self-similar \(p\)-adic fractal strings and their complex dimensions. Zbl 1187.28014Lapidus, Michel L.; Hùng, Lũ’ 6 2009 Wavelet bases in the Lebesgue spaces on the field of \(p\)-adic numbers. Zbl 1322.46014Chuong, N. M.; Duong, D. V. 6 2013 Bounds of \(p\)-adic weighted Hardy-Cesàro operators and their commutators on \(p\)-adic weighted spaces of Morrey types. Zbl 1371.42015Nguyen Minh Chuong; Ha Duy Hung; Nguyen Thi Hong 6 2016 Maximal function and Riesz potential on \(p\)-adic linear spaces. Zbl 1284.42044Volosivets, S. S. 6 2013 On ergodicity of \(p\)-adic dynamical systems for arbitrary prime \(p\). Zbl 1302.37063Yurova, E. 6 2013 Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field. Zbl 1367.30034Vu Hoai An; Pham Ngoc Hoa; Ha Huy Khoai 6 2017 An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116Platonov, Sergey S. 6 2017 Hausdorff operator of special kind on \(p\)-adic field and \(BMO\)-type spaces. Zbl 1254.42011Volosivets, S. S. 6 2011 Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields. Zbl 1268.11153Zúñiga-Galindo, W. A. 6 2011 On integrable delta functions on the Levi-Civita field. Zbl 1428.46048Flynn, Darren; Shamseddine, Khodr 5 2018 Towards three-dimensional conformal probability. Zbl 1420.81023Abdesselam, Abdelmalek 5 2018 Quantum approximation theorem. Zbl 1187.81142Zelenov, E. I. 5 2009 On stochastic generation of ultrametrics in high-dimensional Euclidean spaces. Zbl 1315.60020Zubarev, A. P. 5 2014 Spectral analysis for finite rank perturbations of diagonal operators in non-Archimedean Hilbert space. Zbl 1317.47069Diagana, T.; Kerby, R.; Miabey, Teylama H.; Ramaroson, F. 5 2014 Ultrametric preserving functions and weak similarities of ultrametric spaces. Zbl 1485.54037Bilet, Viktoriia; Dovgoshey, Oleksiy; Shanin, Ruslan 5 2021 The \(p\)-adic analytic subgroup theorem revisited. Zbl 1327.11049Fuchs, C.; Pham, D. H. 5 2015 Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606Sakbaev, V. Zh.; Volovich, I. V. 5 2017 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105Rozikov, U. A.; Sattarov, I. A.; Yam, S. 5 2019 On solution properties of some types of \(p\)-adic kinetic equations of the form reaction-diffusion. Zbl 1268.35076Bikulov, Albert Kh. 5 2010 Classification of three-dimensional solvable \(p\)-adic Leibniz algebras. Zbl 1305.17002Khudoyberdiyev, A. Kh.; Kurbanbaev, T. K.; Omirov, B. A. 5 2010 Periodic wavelets on the \(p\)-adic Vilenkin group. Zbl 1256.42049Farkov, Yuri A. 5 2011 On the variational description of the trajectories of averaging quantum dynamical maps. Zbl 1251.81060Sakbaev, V. Zh. 5 2012 Biology as a constructive physics. Zbl 1419.92022Kozyrev, S. V. 4 2018 Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\). Zbl 1435.37015Memić, Nacima; Huremović, Jasmina Muminović 4 2020 Local zeta functions, pseudodifferential operators and Sobolev-type spaces over non-Archimedean local fields. Zbl 1427.11135Zúñiga-Galindo, W. A. 4 2017 Mumford dendrograms and discrete \(p\)-adic symmetries. Zbl 1264.14034Bradley, Patrick Eric 4 2009 Hausdorff operator on weighted Lebesgue and grand Lebesgue \(p\)-adic spaces. Zbl 07146202Bandaliyev, R. A.; Volosivets, S. S. 4 2019 A real-valued measure on non-Archimedean field extensions of \(\mathbb{R}\). Zbl 1494.26063Bottazzi, Emanuele 2 2022 On linear representations of \(p\)-adic Heisenberg groups. Zbl 1492.22012Diarra, Bertin; Mounkoro, Tongobé 1 2022 A few remarks on supercyclicity of non-Archimedean linear operators on \(c_0(\mathbb{N})\). Zbl 07507900Mukhamedov, Farrukh; Khakimov, Otabek; Souissi, Abdessatar 1 2022 Non-Lie subgroups in Lie groups over local fields of positive characteristic. Zbl 07553740Glöckner, Helge 1 2022 An embedding, an extension, and an interpolation of ultrametrics. Zbl 1481.54025Ishiki, Yoshito 8 2021 Ultrametric preserving functions and weak similarities of ultrametric spaces. Zbl 1485.54037Bilet, Viktoriia; Dovgoshey, Oleksiy; Shanin, Ruslan 5 2021 Best proximity pairs in ultrametric spaces. Zbl 1480.54026Chaira, Karim; Dovgoshey, Oleksiy; Lazaiz, Samih 4 2021 A Beilinson-Bernstein theorem for analytic quantum groups. I. Zbl 1497.17017Dupré, Nicolas 2 2021 Taylor’s theorem, the inverse function theorem and the implicit function theorem for weakly locally uniformly differentiable functions on non-Archimedean spaces. Zbl 1485.26057Shamseddine, Khodr 2 2021 An incompatibility result on non-Archimedean integration. Zbl 1486.26063Bottazzi, Emanuele 2 2021 log-Coulomb gas with norm-density in \(p\)-fields. Zbl 1484.81102Webster, Joe 2 2021 A Beilinson-Bernstein theorem for analytic quantum groups. II. Zbl 1497.17018Dupré, Nicolas 1 2021 Calderón-Zygmund operators on Morrey and Hardy-Morrey spaces in locally compact Vilenkin groups. Zbl 1489.43002Ho, Kwok-Pun 1 2021 On quasisymmetric mappings between ultrametric spaces. Zbl 1485.54032Petrov, Evgeniy; Salimov, Ruslan 1 2021 On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree. Zbl 1477.82006Tukhtabaev, Akbarkhuja 1 2021 On some extremal properties of finite ultrametric spaces. Zbl 1473.54027Dovgoshey, Oleksiy; Petrov, Evgeniy 6 2020 Optimal weak type estimates for \(p\)-adic Hardy operators. Zbl 1434.42034Hussain, Amjad; Sarfraz, Naqash 6 2020 Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\). Zbl 1435.37015Memić, Nacima; Huremović, Jasmina Muminović 4 2020 On the \(\mathbb{K} \)-vector sequential topology on a non-Archimedean valued field. Zbl 1468.46080El Amrani, Abdelkhalek; Razouki, Abdelhak; Hassani, Rachid A.; Babahmed, Mohamed 3 2020 URS and bi-URS for meromorphic functions in a non-Archimedean field. Zbl 1456.30082Khoai, H. H.; An, V. H. 3 2020 Counting fixed points and rooted closed walks of the singular map \(x \mapsto x^{x^n}\) modulo powers of a prime. Zbl 1472.11292Holden, Joshua; Richardson, Pamela A.; Robinson, Margaret M. 2 2020 A survey and new results on Banach algebras of ultrametric continuous functions. Zbl 1468.46079Chicourrat, Monique; Diarra, Bertin; Escassut, Alain 2 2020 Generalised diffusion on moduli spaces of \(p\)-adic Mumford curves. Zbl 1457.35097Bradley, Patrick Erik 2 2020 Learning problem for functional programming and model of biological evolution. Zbl 1447.92288Kozyrev, Sergei V. 2 2020 Embedding theorems for Hölder classes defined on \(p\)-adic linear spaces. Zbl 1434.42037Volosivets, S. S. 1 2020 Weighted integrability of \(p\)-adic Fourier transform. Zbl 1456.30081Golubov, Boris I.; Volosivets, Sergey S. 1 2020 Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups. Zbl 1465.43003Platonov, Sergey S. 1 2020 Notes on ergodic \(2\)-adic transformations. Zbl 1458.37111Memić, Nacima 1 2020 Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers. Zbl 1451.42025Chacón-Cortés, Leonardo Fabio; Rafeiro, Humberto 1 2020 The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces. Zbl 1478.42022Hussain, Amjad; Sarfraz, Naqash 12 2019 Finite ultrametric balls. Zbl 1432.54027Dovgoshey, Oleksiy 9 2019 Properties and morphisms of finite ultrametric spaces and their representing trees. Zbl 1433.54015Dovgoshey, Oleksiy; Petrov, Evgeniy 9 2019 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105Rozikov, U. A.; Sattarov, I. A.; Yam, S. 5 2019 Hausdorff operator on weighted Lebesgue and grand Lebesgue \(p\)-adic spaces. Zbl 07146202Bandaliyev, R. A.; Volosivets, S. S. 4 2019 Generalized open mapping theorem for \(X\)-normed spaces. Zbl 1443.46047Comicheo, Angel Barria 4 2019 Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002Platonov, Sergey S. 4 2019 Pseudodifferential operators and Markov processes on adèles. Zbl 1435.35424Aguilar-Arteaga, Victor A.; Estala-Arias, Samuel 4 2019 Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009Platonov, Sergey S. 3 2019 Complete integrability of quantum and classical dynamical systems. Zbl 1436.81036Volovich, Igor V. 3 2019 Non periodic \(p\)-adic generalized Gibbs measure for Ising model. 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V. 1 2016 ...and 145 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 695 Authors 60 Khrennikov, Andreĭ Yur’evich 31 Zúñiga-Galindo, Wilson A. 27 Kozyrev, Sergeĭ Vladimirovich 27 Mukhamedov, Farruh Maksutovich 25 Dragovich, Branko 23 Dovgoshey, Oleksiy Alfredovich 16 Volovich, Igor’ Vasil’evich 15 Khakimov, Otabek N. 14 Duong, Dao Van 14 Matevosyan, Hovik A. 13 Memić, Nacima 12 Marcolli, Matilde 12 Rozikov, Utkir A. 12 Sergeev, Yaroslav Dmitrievich 11 Nguyen Minh Chuong 11 Petrov, Evgenii Aleksandrovich 11 Volosivets, Sergeĭ Sergeevich 11 Zubarev, Aleksandr Petrovich 10 Albeverio, Sergio A. 10 Sarfraz, Naqash 10 Torresblanca-Badillo, Anselmo 9 Chacón-Cortes, Leonardo Fabio 9 Hussain, Amjad 9 Jeong, Sangtae 9 Sakbaev, Vsevolod Zhanovich 8 Bradley, Patrick Erik 8 Rakić, Zoran 8 Sattarov, Iskandar A. 8 Trushechkin, Anton Sergeevich 8 Vladimirov, Vasiliĭ Sergeevich 8 Zelenov, Evgenii I. 7 Bikulov, Al’bert Khakimovich 7 Dung, Kieu Huu 7 Estala-Arias, Samuel 7 Farkov, Yuriĭ Anatol’evich 7 Liao, Lingmin 7 Shelkovich, Vladimir M. 7 Varadarajan, Veeravalli S. 6 Anashin, Vladimir Sergeevich 6 Cruz-López, Manuel 6 Dimitrijevic, Ivan 6 Fan, Shilei 6 Iurato, Giuseppe 6 Murtagh, Fionn D. 6 Platonov, Sergei S. 6 Shamseddine, Khodr 6 Stankovic, Jelena 5 Ahmad, Owais 5 Aref’eva, Irina Yaroslavna 5 Aslam, Muhammad 5 Biswas, Tanmay 5 Casas-Sánchez, Oscar Francisco 5 Escassut, Alain 5 Galeano-Peñaloza, Jeanneth 5 Ishiki, Yoshito 5 Khachatryan, Khachatur Aghavardovich 5 Lapidus, Michel L. 5 Marrani, Alessio 5 Mišić, Nataša Ž. 5 Oleschko, Klaudia 5 Weisbart, David 5 Yurova, Ekaterina I. 4 Bottazzi, Emanuele 4 De Leone, Renato 4 Digernes, Trond 4 Ferrara, Sergio 4 Gutiérrez García, Ismael Segundo 4 Jarad, Fahd 4 Kochubeĭ, Anatoliĭ Naumovych 4 Kosyak, Alexandre V. 4 Kronberg, D. A. 4 Lambert, Amaury 4 Lukomskiĭ, Sergeĭ Fedorovich 4 Pathak, Ashish 4 Sawano, Yoshihiro 4 Sheikh, Neyaz Ahmad 4 Shimomura, Tetsu 4 Singh, Guru P. 4 Skopina, Maria A. 4 Vourdas, Apostolos 3 Abdesselam, Abdelmalek 3 Accardi, Luigi 3 Aguilar-Arteaga, Victor A. 3 Behera, Biswaranjan 3 Beyrer, Jonas 3 Bilet, Viktoriia Viktorivna 3 Biswas, Chinmay 3 Chaira, Karim 3 Daher, Radouan 3 D’Alotto, Louis A. 3 Doğan, Mutlay 3 Drozhzhinov, Yuriĭ Nikolaevich 3 Dupré, Nicolas 3 Fan, Ai Hua 3 Fioresi, Rita 3 García-Compeán, Hugo 3 Ilić Stepić, Angelina 3 Jahan, Qaiser 3 Koshelev, Alexey S. 3 Li, Chunlan ...and 595 more Authors all top 5 Cited in 219 Journals 188 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 30 Theoretical and Mathematical Physics 23 Proceedings of the Steklov Institute of Mathematics 21 Journal of Mathematical Analysis and Applications 17 Journal of High Energy Physics 13 Applied Mathematics and Computation 13 Journal of Mathematical Sciences (New York) 12 Journal of Number Theory 12 Lobachevskii Journal of Mathematics 10 Journal of Pseudo-Differential Operators and Applications 9 Journal of Mathematical Physics 9 Doklady Mathematics 8 Mathematical Notes 8 Topology and its Applications 8 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. 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Mathematics & Physics 2 AIMS Mathematics 1 Advances in Applied Probability ...and 119 more Journals all top 5 Cited in 60 Fields 191 Number theory (11-XX) 127 Harmonic analysis on Euclidean spaces (42-XX) 126 Functional analysis (46-XX) 123 Quantum theory (81-XX) 94 Dynamical systems and ergodic theory (37-XX) 89 Operator theory (47-XX) 84 Partial differential equations (35-XX) 82 Probability theory and stochastic processes (60-XX) 80 Statistical mechanics, structure of matter (82-XX) 57 Real functions (26-XX) 57 General topology (54-XX) 41 Combinatorics (05-XX) 41 Biology and other natural sciences (92-XX) 40 Field theory and polynomials (12-XX) 40 Functions of a complex variable (30-XX) 39 Computer science (68-XX) 35 Abstract harmonic analysis (43-XX) 33 Relativity and gravitational theory (83-XX) 30 Mathematical logic and foundations (03-XX) 28 Algebraic geometry (14-XX) 24 Topological groups, Lie groups (22-XX) 21 Numerical analysis (65-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Nonassociative rings and algebras (17-XX) 17 Group theory and generalizations (20-XX) 17 Potential theory (31-XX) 15 Measure and integration (28-XX) 15 Differential geometry (53-XX) 14 Statistics (62-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Information and communication theory, circuits (94-XX) 11 Mechanics of particles and systems (70-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Associative rings and algebras (16-XX) 10 Sequences, series, summability (40-XX) 10 Approximations and expansions (41-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Difference and functional equations (39-XX) 9 Integral equations (45-XX) 7 Category theory; homological algebra (18-XX) 7 Ordinary differential equations (34-XX) 7 Operations research, mathematical programming (90-XX) 6 Geometry (51-XX) 6 Fluid mechanics (76-XX) 5 History and biography (01-XX) 4 General and overarching topics; collections (00-XX) 4 General algebraic systems (08-XX) 4 Commutative algebra (13-XX) 4 \(K\)-theory (19-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Astronomy and astrophysics (85-XX) 2 Special functions (33-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year