# zbMATH — the first resource for mathematics

## Khrennikov, Andreĭ Yur’evich

Compute Distance To:
 Author ID: khrennikov.andrei-yu Published as: Khrennikov, Andrei; Khrennikov, A. Yu.; Khrennikov, A.; Khrennikov, Andrei Yu.; Khrennikov, Andrew; Khrennikov, Andrei Y.; Khrennikov, A. Y.; Khrennikov, A. Yu; Khrennikov, Andreĭ Yur’evich; Khrennikov, Andrei Yurievich; Khrennikov, Andrei Yu; Khrennikov, A. U. Homepage: https://lnu.se/en/staff/andrei.khrennikov/ External Links: Google Scholar · MGP · Math-Net.Ru · dblp · GND
 Documents Indexed: 504 Publications since 1981, including 37 Books Biographic References: 1 Publication
all top 5

all top 5

#### Serials

 37 Doklady Mathematics 24 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 21 Foundations of Physics 19 Journal of Mathematical Physics 17 Theoretical and Mathematical Physics 12 Journal of Mathematical Psychology 10 Open Systems & Information Dynamics 9 International Journal of Theoretical Physics 9 Izvestiya: Mathematics 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Journal of Physics A: Mathematical and General 7 Teoriya Veroyatnosteĭ i eë Primeneniya 7 Russian Journal of Mathematical Physics 7 The Journal of Fourier Analysis and Applications 7 International Journal of Quantum Information 7 AIP Conference Proceedings 7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Physics Letters. A 6 Russian Mathematical Surveys 6 Differential Equations 6 Soviet Physics. Doklady 6 Russian Academy of Sciences. Doklady. Mathematics 5 Theory of Probability and its Applications 5 Doklady Akademii Nauk 5 Mathematical Modelling in Physics, Engineering and Cognitive Sciences 4 Journal of Mathematical Analysis and Applications 4 Commentarii Mathematici Universitatis Sancti Pauli 4 Mathematics of the USSR. Izvestiya 4 Indagationes Mathematicae. New Series 4 Physica Scripta 4 Mathematics and its Applications (Dordrecht) 4 Journal of Theoretical Biology 3 Mathematical Notes 3 Moscow University Mathematics Bulletin 3 Reports on Mathematical Physics 3 Differentsial’nye Uravneniya 3 Journal of Mathematical Economics 3 Journal of Number Theory 3 Soviet Mathematics. Doklady 3 Statistics & Probability Letters 3 Acta Applicandae Mathematicae 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Advances in Applied Clifford Algebras 3 Foundations of Physics Letters 3 Proceedings of the Steklov Institute of Mathematics 2 Physica A 2 Teoreticheskaya i Matematicheskaya Fizika 2 Chaos, Solitons and Fractals 2 Fuzzy Sets and Systems 2 Journal of Approximation Theory 2 Siberian Mathematical Journal 2 Bulgarian Journal of Physics 2 Annals of Physics 2 Russian Academy of Sciences. Sbornik. Mathematics 2 Physics-Doklady 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Annales Mathématiques Blaise Pascal 2 Matematicheskoe Modelirovanie 2 Advanced Studies in Contemporary Mathematics (Kyungshang) 2 Fundamental Theories of Physics 2 STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Analysis Mathematica 1 Applicable Analysis 1 Letters in Mathematical Physics 1 Nonlinearity 1 Physics Letters. B 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Fortschritte der Physik 1 Applied Mathematics and Computation 1 Information Sciences 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Bulletin of the Section of Logic 1 Soviet Mathematics 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Designs, Codes and Cryptography 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Acta Mathematica Scientia 1 Matematicheskiĭ Sbornik 1 Potential Analysis 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Trudy Seminara Imeni I. G. Petrovskogo 1 St. Petersburg Mathematical Journal 1 Filomat 1 Integral Transforms and Special Functions 1 Discrete and Continuous Dynamical Systems 1 Markov Processes and Related Fields 1 Soft Computing 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society ...and 18 more Serials
all top 5

#### Fields

 272 Quantum theory (81-XX) 115 Probability theory and stochastic processes (60-XX) 111 Functional analysis (46-XX) 90 Number theory (11-XX) 51 Partial differential equations (35-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Dynamical systems and ergodic theory (37-XX) 49 Operator theory (47-XX) 35 Biology and other natural sciences (92-XX) 29 General and overarching topics; collections (00-XX) 21 Measure and integration (28-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 21 Statistical mechanics, structure of matter (82-XX) 21 Information and communication theory, circuits (94-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Statistics (62-XX) 12 Real functions (26-XX) 11 Computer science (68-XX) 9 Field theory and polynomials (12-XX) 8 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 6 Associative rings and algebras (16-XX) 6 General topology (54-XX) 6 Fluid mechanics (76-XX) 5 Nonassociative rings and algebras (17-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 4 Relativity and gravitational theory (83-XX) 3 Ordinary differential equations (34-XX) 3 Sequences, series, summability (40-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

361 Publications have been cited 3,015 times in 1,003 Documents Cited by Year
Non-archimedean analysis: quantum paradoxes, dynamical systems and biological models. Zbl 0920.11087
Khrennikov, Andrei
1997
On $$p$$-adic mathematical physics. Zbl 1187.81004
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.
2009
$$p$$-adic valued distributions in mathematical physics. Zbl 0833.46061
Khrennikov, A. Yu.
1994
Applied algebraic dynamics. Zbl 1184.37002
2009
Ubiquitous quantum structure. From psychology to finance. Zbl 1188.91002
Khrennikov, Andrei Y.
2010
Theory of $$p$$-adic distributions. Linear and nonlinear models. Zbl 1198.46001
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2010
Contextual approach to quantum formalism. Zbl 1176.81001
Khrennikov, Andrei
2009
$$p$$-adic refinable functions and MRA-based wavelets. Zbl 1205.42031
Khrennikov, A. Yu.; Shelkovich, V. M.; Skopina, M.
2009
Information dynamics in cognitive, psychological, social and anomalous phenomena. Zbl 1175.91151
Khrennikov, Andrei
2004
$$p$$-adic quantum mechanics with $$p$$-adic valued functions. Zbl 0746.46067
Khrennikov, A. Yu.
1991
Harmonic analysis in the $$p$$-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, $$p$$-adic wavelets, Tauberian theorems. Zbl 1110.46049
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2006
Interpretations of probability. Zbl 0998.81508
Khrennikov, A. Yu.
1999
Wavelets on ultrametric spaces. Zbl 1079.42028
Khrennikov, A. Yu.; Kozyrev, S. V.
2005
Quantum mechanics and violations of the sure-thing principle: The use of probability interference and other concepts. Zbl 1178.91043
Khrennikov, Andrei Yu.; Haven, Emmanuel
2009
Pseudodifferential operators on ultrametric spaces and ultrametric wavelets. Zbl 1111.35141
Kozyrev, S. V.; Khrennikov, A. Yu.
2005
Interpretations of probability. 2nd revised and extended ed. Zbl 1369.81014
Khrennikov, Andrei
2009
Non-Haar $$p$$-adic wavelets and their application to pseudo-differential operators and equations. Zbl 1184.46066
Khrennikov, A. Yu.; Shelkovich, V. M.
2010
A pre-quantum classical statistical model with infinite-dimensional phase space. Zbl 1117.82009
Khrennikov, Andrei
2005
Characterization of ergodicity of $$p$$-adic dynamical systems by using the van der Put basis. Zbl 1247.37007
Anashin, Vladimir S.; Khrennikov, Andrei Yu.; Yurova, Ekaterina I.
2011
Ultrametric pseudodifferential equations and applications. Zbl 1397.35350
Khrennikov, Andrei Yu.; Kozyrev, Sergei V.; Zúñiga-Galindo, W. A.
2018
Mathematical methods of non-Archimedean physics. Zbl 0722.46040
Khrennikov, A. Yu.
1990
On $$p$$-adic Gibbs measures of the countable state Potts model on the Cayley tree. Zbl 1139.46050
Khrennikov, A. Yu; Mukhamedov, F. M.; Mendes, J. F. F.
2007
Quantum adaptivity in biology: from genetics to cognition. Zbl 1402.92005
Asano, Masanari; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro
2015
Linear representations of probabilistic transformations induced by context transitions. Zbl 0993.81005
Khrennikov, Andrei
2001
$$p$$-adic valued probability measures. Zbl 0872.60002
Khrennikov, Andrew
1996
$$p$$-adic deterministic and random dynamics. Zbl 1135.37003
Khrennikov, Andrei Yu.; Nilson, Marcus
2004
T-functions revisited: new criteria for bijectivity/transitivity. Zbl 1338.94059
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Quantum-like tunnelling and levels of arbitrage. Zbl 1281.91130
Haven, Emmanuel; Khrennikov, Andrei
2013
Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields. Zbl 1017.60045
Ludkovsky, S.; Khrennikov, A.
2003
The principle of supplementarity: a contextual probabilistic viewpoint to complementarity, the interference of probabilities and incompatibility of variables in quantum mechanics. Zbl 1102.81008
Khrennikov, Andrei
2005
On ergodic behavior of $$p$$-adic dynamical systems. Zbl 1040.37005
Gundlach, Matthias; Khrennikov, Andrei; Lindahl, Karl-Olof
2001
Representations of the Weyl group in spaces of square integrable functions with respect to $$p$$-adic valued Gaussian distributions. Zbl 0903.46073
Albeverio, Sergio; Khrennikov, Andrei
1996
$$p$$-adic dynamical systems. Zbl 0974.37018
Albeverio, S.; Khrennikov, A.; Tirozzi, B.; De Smedt, S.
1998
On quantum-like probabilistic structure of mental information. Zbl 1059.82033
Khrennikov, Andrei
2004
The measure-theoretical approach to $$p$$-adic probability theory. Zbl 0941.60010
Khrennikov, Andrei; Yamada, Shinichi; van Rooij, Arnoud
1999
$$p$$-adic mathematical physics: the first 30 years. Zbl 1394.81009
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.; Zelenov, E. I.
2017
$$p$$-adic valued quantization. Zbl 1187.81137
Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrei Yu.
2009
Criteria of measure-preserving for $$p$$-adic dynamical systems in terms of the van der Put basis. Zbl 1278.37061
Khrennikov, Andrei; Yurova, Ekaterina
2013
$$p$$-adic orthogonal wavelet bases. Zbl 1187.42033
Khrennikov, A. Yu.; Shelkovich, V. M.; Skopina, M.
2009
Ultrametric random field. Zbl 1154.60323
Khrennikov, A. Yu.; Kozyrev, S. V.
2006
The Cauchy problems for evolutionary pseudo-differential equations over $$p$$-adic field and the wavelet theory. Zbl 1218.47071
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2011
Functional superanalysis. Zbl 0665.46031
Khrennikov, A. Yu.
1988
Representation of the Kolmogorov model having all distinguishing features of quantum probabilistic model. Zbl 1031.81012
Khrennikov, Andrei
2003
Application of $$p$$-adic wavelets to model reaction-diffusion dynamics in random porous media. Zbl 1343.76067
Khrennikov, Andrei; Oleschko, Klaudia; Correa López, Maria de Jesús
2016
Linear fractional $$p$$-adic and adelic dynamical systems. Zbl 1139.37030
Dragovich, Branko; Khrennikov, Andrei; Mihajlović, Dušan
2007
Quantum-like model of brain’s functioning: decision making from decoherence. Zbl 1397.91098
Asano, Masanari; Ohya, Masanori; Tanaka, Yoshiharu; Basieva, Irina; Khrennikov, Andrei
2011
Decompositions of Gelfand-Shilov kernels into kernels of similar class. Zbl 1262.47040
Toft, Joachim; Khrennikov, Andrei; Nilsson, Börje; Nordebo, Sven
2012
Ergodicity criteria for non-expanding transformations of 2-adic spheres. Zbl 1317.37115
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Quantum Markov model for data from Shafir-Tversky experiments in cognitive psychology. Zbl 1182.81051
Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori
2009
$$p$$-adic analogue of the porous medium equation. Zbl 1401.35165
Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
2018
Analysis on the $$p$$-adic superspace. I: Generalized functions: Gaussian distribution. Zbl 0770.46035
Khrennikov, A. Yu.
1992
On the number of cycles of $$p$$-adic dynamical systems. Zbl 0994.11039
Khrennikov, Andrei; Nilsson, Marcus
2001
Quantum-like model for decision making process in Two players game. A non-Kolmogorovian model. Zbl 1211.81004
Asano, Masanari; Ohya, Masanori; Khrennikov, Andrei
2011
Nonlinear Schrödinger equations from prequantum classical statistical field theory. Zbl 1236.81178
Khrennikov, Andrei
2006
Generalizations of quantum mechanics induced by classical statistical field theory. Zbl 1099.81005
Khrennikov, Andrei
2005
Generalized probabilities taking values in non-Archimedean fields and in topological groups. Zbl 1124.60002
Khrennikov, A. Yu.
2007
On application of Gorini-Kossakowski-Sudarshan-Lindblad equation in cognitive psychology. Zbl 1214.91096
Asano, Masanari; Ohya, Masanori; Tanaka, Yoshiharu; Khrennikov, Andrei; Basieva, Irina
2011
Localization in space for a free particle in ultrametric quantum mechanics. Zbl 1209.81115
Kozyrev, S. V.; Khrennikov, A. Yu.
2006
$$p$$-adic discrete dynamical systems and collective behaviour of information states in cognitive models. Zbl 1229.37128
Khrennikov, Andrei
2000
Harmonic, wavelet and $$p$$-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Zbl 1117.42001
Nguyen Minh Chuong (ed.); Egorov, Yu. V. (ed.); Khrennikov, A. (ed.); Meyer, Y. (ed.); Mumford, D. (ed.)
2007
Beyond quantum. Zbl 1294.81008
Khrennikov, Andrei
2014
On the spectrum of the $$p$$-adic position operator. Zbl 0992.81022
Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrew
1997
EPR-Bohm experiment and Bell’s inequality: Quantum physics meets probability theory. Zbl 1155.81313
Khrennikov, A. Yu.
2008
Applications of $$p$$-adics to geophysics: linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions. Zbl 1387.86020
Oleschko, K.; Khrennikov, A. Yu.
2017
Representation theorem of observables on a quantum system. Zbl 1104.81020
Nánásiová, Olga; Khrennikov, Andrei
2006
Possibility to agree on disagree from quantum information and decision making. Zbl 1310.91053
Khrennikov, Andrei; Basieva, Irina
2014
Representation of a quantum field Hamiltonian in $$p$$-adic Hilbert space. Zbl 0968.46519
Albeverio, S.; Cianci, R.; Khrennikov, A. Yu.
1997
$$p$$-adic probability interpretation of Bell’s inequality. Zbl 1020.81534
Khrennikov, Andrew
1995
Interference of probabilities and number field structure of quantum models. Zbl 1037.81003
Khrennikov, Andrei
2003
Attractors of random dynamical systems over $$p$$-adic numbers and a model of “noisy” cognitive processes. Zbl 1066.91599
Dubischar, Daniel; Gundlach, Volker Matthias; Khrennikov, Andrei; Steinkamp, Oliver
1999
Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047
Khrennikov, Andrei
2008
Nonlocality as well as rejection of realism are only sufficient (but non-necessary!) conditions for violation of Bell’s inequality. Zbl 1165.81302
Khrennikov, Andrei
2009
CHSH inequality: quantum probabilities as classical conditional probabilities. Zbl 1327.81047
Khrennikov, Andrei
2015
Reality without realism: on the ontological and epistemological architecture of quantum mechanics. Zbl 1327.81019
2015
Quantum information biology: from information interpretation of quantum mechanics to applications in molecular biology and cognitive psychology. Zbl 1326.81034
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro
2015
An infinite family of $$p$$-adic non-Haar wavelet bases and pseudo-differential operators. Zbl 1187.42034
Khrennikov, Andrei Yu.; Shelkovich, Vladimir M.
2009
Quantum probabilities and violation of CHSH-inequality from classical random signals and threshold type detection scheme. Zbl 1257.81007
Khrennikov, Andrei
2012
Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact Abelian groups. Zbl 1019.47020
Albeverio, S.; Gordon, E. I.; Khrennikov, A. Yu.
2000
Contextual viewpoint to quantum stochastics. Zbl 1062.81004
Khrennikov, Andrei
2003
Segmentation of images in $$p$$-adic and Euclidean metrics. Zbl 1042.68687
Benois-Pineau, J.; Khrennikov, A. Yu.; Kotovich, N. V.
2001
On adelic analogue of Laplacian. Zbl 1061.43007
Khrennikov, A. Yu.; Radyno, Ya. V.
2003
Criteria of ergodicity for $$p$$-adic dynamical systems in terms of coordinate functions. Zbl 1348.37128
Khrennikov, Andrei; Yurova, Ekaterina
2014
Dragovich, B.; Radyno, Ya.; Khrennikov, A.
2007
$$p$$ -adic semilinear evolutionary pseudodifferential equations in Lizorkin spaces. Zbl 1162.35076
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2007
Quantum-like generalization of the Bayesian updating scheme for objective and subjective mental uncertainties. Zbl 1282.91280
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu
2012
Quantum Bayesianism as the basis of general theory of decision-making. Zbl 1353.94024
Khrennikov, Andrei
2016
On the Fourier transform and the spectral properties of the $$p$$-adic momentum and Schrödinger operators. Zbl 0927.46060
Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrew
1997
Non-Kolmogorov probability models and modified Bell’s inequality. Zbl 0977.81001
Khrennikov, Andrei
2000
A perturbation of CHSH inequality induced by fluctuations of ensemble distributions. Zbl 0978.81003
Khrennikov, Andrei
2000
$$p$$-adic Hilbert space representation of quantum systems with an infinite number of degrees of freedom. Zbl 1229.81283
Albeverio, Sergio; Khrennikov, Andrew
1996
A quantum-like model of selection behavior. Zbl 1382.91041
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu
2017
Statistical and subjective interpretations of probability in quantum-like models of cognition and decision making. Zbl 1396.91617
Haven, Emmanuel; Khrennikov, Andrei
2016
Non-Haar $$p$$-adic wavelets and pseudodifferential operators. Zbl 1213.42147
Khrennikov, A. Yu.; Shelkovich, V. M.
2008
$$p$$-adic discrete dynamical systems and their applications in physics and cognitive sciences. Zbl 1179.37125
Khrennikov, A.
2004
Quantum equilibria for macroscopic systems. Zbl 1122.81020
Grib, A.; Khrennikov, A.; Parfionov, G.; Starkov, K.
2006
Prequantum classical statistical field theory: complex representation, Hamilton-Schrödinger equation, and interpretation of stationary states. Zbl 1102.81068
Khrennikov, Andrei
2006
Attracting fixed points of polynomial dynamical systems in fields of $$p$$-adic numbers. Zbl 1168.37011
Khrennikov, A. Yu.; Svensson, P.-A.
2007
Preface of the special issue probing the limits of quantum mechanics: theory and experiment, volume 1. Zbl 1321.00106
Khrennikov, Andrei (ed.); de Raedt, Hans (ed.); Plotnitsky, Arkady (ed.); Polyakov, Sergey (ed.)
2015
Cognitive processes of the brain: an ultrametric model of information dynamics in unconsciousness. Zbl 1354.91125
Khrennikov, A. Yu.
2014
Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls. Zbl 1260.91221
Khrennikov, Andrei Yu.
2010
Multidimensional nonlinear pseudo-differential evolution equation with $$p$$-adic spatial variables. Zbl 1454.35423
Antoniouk, Alexandra V.; Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
2020
On the $$p$$-adic Navier-Stokes equation. Zbl 1446.35277
Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
2020
$$p$$-adic analogue of the wave equation. Zbl 07116076
Wu, Bo; Khrennikov, Andrei
2019
Ultrametric pseudodifferential equations and applications. Zbl 1397.35350
Khrennikov, Andrei Yu.; Kozyrev, Sergei V.; Zúñiga-Galindo, W. A.
2018
$$p$$-adic analogue of the porous medium equation. Zbl 1401.35165
Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
2018
On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over $$p$$-adic field. Zbl 07090162
2018
Towards better understanding QBism. Zbl 1398.81013
Khrennikov, Andrei
2018
Subcoordinate representation of $$p$$-adic functions and generalization of Hensel’s lemma. Zbl 1411.37077
Axelsson, E. I. Yurova; Khrennikov, A. Yu.
2018
Quantum field inspired model of decision making: asymptotic stabilization of belief state via interaction with surrounding mental environment. Zbl 1403.91101
Bagarello, Fabio; Basieva, Irina; Khrennikov, Andrei
2018
A hysteresis effect on optical illusion and non-Kolmogorovian probability theory. Zbl 1380.92043
Asano, Masanari; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu
2018
Quantum like modeling of decision making: quantifying uncertainty with the aid of Heisenberg-Robertson inequality. Zbl 1416.91074
Bagarello, Fabio; Basieva, Irina; Pothos, Emmanuel M.; Khrennikov, Andrei
2018
$$p$$-adic mathematical physics: the first 30 years. Zbl 1394.81009
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.; Zelenov, E. I.
2017
Applications of $$p$$-adics to geophysics: linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions. Zbl 1387.86020
Oleschko, K.; Khrennikov, A. Yu.
2017
A quantum-like model of selection behavior. Zbl 1382.91041
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu
2017
Quantum probability updating from zero priors (by-passing Cromwell’s rule). Zbl 1396.91065
Basieva, Irina; Pothos, Emmanuel; Trueblood, Jennifer; Khrennikov, Andrei; Busemeyer, Jerome
2017
Quantum epistemology from subquantum ontology: Quantum mechanics from theory of classical random fields. Zbl 1368.81026
Khrennikov, Andrei
2017
The Palgrave handbook of quantum models in social science. Applications and grand challenges. Zbl 1367.91006
Haven, Emmanuel; Khrennikov, Andrei
2017
Measures on the Hilbert space of a quantum system. Zbl 1373.81040
Khrennikov, Andrei Yu.; Smolyanov, O. G.
2017
On the topological structure of a mathematical model of human unconscious. Zbl 1414.91313
Iurato, Giuseppe; Khrennikov, Andrei
2017
Transport through a network of capillaries from ultrametric diffusion equation with quadratic nonlinearity. Zbl 1382.92112
Oleschko, K.; Khrennikov, Andrei
2017
Ultrametrics in the genetic code and the genome. Zbl 1411.92195
Dragovich, Branko; Khrennikov, Andrei Yu.; Mišić, Nataša Ž.
2017
The use of action functionals within the quantum-like paradigm. Zbl 1386.91179
Haven, Emmanuel; Khrennikov, Andrei
2017
$$p$$-adic mathematical physics and B. Dragovich research. Zbl 1364.81008
Aref&rsquo;eva, I. Ya.; Djordjevic, G. S.; Khrennikov, A. Yu.; Kozyrev, S. V.; Rakic, Z.; Volovich, I. V.
2017
Decision-making and cognition modeling from the theory of mental instruments. Zbl 1387.81006
Basieva, Irina; Khrennikov, Andrei
2017
Why quantum? Zbl 1387.81417
Khrennikov, Andrei
2017
Aims and scope of the special issue “Quantum foundations: informational perspective”. Zbl 1382.81004
Khrennikov, Andrei; Stacey, Blake C.
2017
The present situation in quantum theory and its merging with general relativity. Zbl 1382.81013
Khrennikov, Andrei
2017
Application of $$p$$-adic wavelets to model reaction-diffusion dynamics in random porous media. Zbl 1343.76067
Khrennikov, Andrei; Oleschko, Klaudia; Correa López, Maria de Jesús
2016
Quantum Bayesianism as the basis of general theory of decision-making. Zbl 1353.94024
Khrennikov, Andrei
2016
Statistical and subjective interpretations of probability in quantum-like models of cognition and decision making. Zbl 1396.91617
Haven, Emmanuel; Khrennikov, Andrei
2016
Generalization of Hensel’s lemma: finding the roots of $$p$$-adic Lipschitz functions. Zbl 1335.11097
Axelsson, Ekaterina Yurova; Khrennikov, Andrei
2016
Formal foundations for the origins of human consciousness. Zbl 1407.91210
Iurato, Giuseppe; Khrennikov, Andrei; Murtagh, F.
2016
Probability and randomness. Quantum versus classical. Zbl 1348.81003
Khrennikov, Andrei Yu.
2016
Bell could become the Copernicus of probability. Zbl 1346.81020
Khrennikov, Andrei
2016
Preface of the special issue Quantum foundations: information approach. Zbl 1353.94006
D&rsquo;Ariano, Giacomo Mauro; Khrennikov, Andrei
2016
Applications of $$p$$-adic numbers: from physics to geology. Zbl 1405.11150
Khrennikov, A. Yu.; Oleschko, K.; de Jesús Correa López, M.
2016
Preface. Zbl 1356.00031
Coecke, Bob; Khrennikov, Andrei
2016
Analog of formula of total probability for quantum observables represented by positive operator valued measures. Zbl 1348.81058
Khrennikov, Andrei
2016
Application of non-Kolmogorovian probability and quantum adaptive dynamics to unconscious inference in visual perception process. Zbl 1346.81026
Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro
2016
Quantum probability and the mathematical modelling of decision-making. Zbl 1353.81005
Haven, Emmanuel; Khrennikov, Andrei
2016
$$p$$-adic numbers: from superstrings and molecular motors to cognition and psychology. Zbl 1355.92011
Khrennikov, Andrei
2016
Quantum adaptivity in biology: from genetics to cognition. Zbl 1402.92005
Asano, Masanari; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro
2015
CHSH inequality: quantum probabilities as classical conditional probabilities. Zbl 1327.81047
Khrennikov, Andrei
2015
Reality without realism: on the ontological and epistemological architecture of quantum mechanics. Zbl 1327.81019
2015
Quantum information biology: from information interpretation of quantum mechanics to applications in molecular biology and cognitive psychology. Zbl 1326.81034
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro
2015
Preface of the special issue probing the limits of quantum mechanics: theory and experiment, volume 1. Zbl 1321.00106
Khrennikov, Andrei; de Raedt, Hans; Plotnitsky, Arkady; Polyakov, Sergey
2015
Quantum version of Aumann’s approach to common knowledge: sufficient conditions of impossibility to agree on disagree. Zbl 1368.91052
Khrennikov, Andrei
2015
Hysteresis model of unconscious-conscious interconnection: exploring dynamics on $$m$$-adic trees. Zbl 1336.91061
Iurato, Giuseppe; Khrennikov, Andrei
2015
On the possibility to combine the order effect with sequential reproducibility for quantum measurements. Zbl 1326.81016
Basieva, Irina; Khrennikov, Andrei
2015
Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift. Zbl 1323.82037
Khrennikov, Andrei; Kozyrev, Sergei; Månsson, Alf
2015
Unconditional quantum correlations do not violate Bell’s inequality. Zbl 1326.81028
Khrennikov, Andrei
2015
T-functions revisited: new criteria for bijectivity/transitivity. Zbl 1338.94059
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Ergodicity criteria for non-expanding transformations of 2-adic spheres. Zbl 1317.37115
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Beyond quantum. Zbl 1294.81008
Khrennikov, Andrei
2014
Possibility to agree on disagree from quantum information and decision making. Zbl 1310.91053
Khrennikov, Andrei; Basieva, Irina
2014
Criteria of ergodicity for $$p$$-adic dynamical systems in terms of coordinate functions. Zbl 1348.37128
Khrennikov, Andrei; Yurova, Ekaterina
2014
Cognitive processes of the brain: an ultrametric model of information dynamics in unconsciousness. Zbl 1354.91125
Khrennikov, A. Yu.
2014
$$p$$-adic wavelets and their applications. Zbl 1308.42031
Kozyrev, S. V.; Khrennikov, A. Yu.; Shelkovich, V. M.
2014
Photon flux and distance from the source: consequences for quantum communication. Zbl 1302.81077
Khrennikov, Andrei; Nilsson, Börje; Nordebo, Sven; Volovich, Igor
2014
Born’s formula from statistical mechanics of classical fields and theory of hitting times. Zbl 1395.81021
Khrennikov, Andrei
2014
Quantum-like tunnelling and levels of arbitrage. Zbl 1281.91130
Haven, Emmanuel; Khrennikov, Andrei
2013
Criteria of measure-preserving for $$p$$-adic dynamical systems in terms of the van der Put basis. Zbl 1278.37061
Khrennikov, Andrei; Yurova, Ekaterina
2013
Application of $$p$$-adic analysis to time series. Zbl 1300.60052
Khrennikov, A. Yu.; Kozyrev, S. V.; Oleschko, K.; Jaramillo, A. G.; de Jesús Correa López, M.
2013
Adelic multiresolution analysis, construction of wavelet bases and pseudo-differential operators. Zbl 1311.42088
Khrennikov, A. Y.; Shelkovich, V. M.; van der Walt, Jan Harm
2013
Non-Kolmogorovian approach to the context-dependent systems breaking the classical probability law. Zbl 1272.81006
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Yamato, Ichiro
2013
Quantum rule for detection probability from Brownian motion in the space of classical fields. Zbl 1280.81008
Khrennikov, A. Yu.; Nilsson, B.; Nordebo, S.
2013
Quantum-like representation of non-Bayesian inference. Zbl 1327.81119
Asano, M.; Basieva, I.; Khrennikov, A.; Ohya, M.; Tanaka, Y.
2013
Measure-free viewpoint on $$p$$-adic and adelic wavelets. Zbl 1291.42029
Khrennikov, A.; Shelkovich, V.; Van Der Walt, J. H.
2013
Decompositions of Gelfand-Shilov kernels into kernels of similar class. Zbl 1262.47040
Toft, Joachim; Khrennikov, Andrei; Nilsson, Börje; Nordebo, Sven
2012
Quantum probabilities and violation of CHSH-inequality from classical random signals and threshold type detection scheme. Zbl 1257.81007
Khrennikov, Andrei
2012
Quantum-like generalization of the Bayesian updating scheme for objective and subjective mental uncertainties. Zbl 1282.91280
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu
2012
Ergodicity of dynamical systems on 2-adic spheres. Zbl 1261.37002
Anashin, V. S.; Khrennikov, A. Yu.; Yurova, E. I.
2012
Towards new Grangier type experiments. Zbl 1250.81144
Khrennikov, Andrei
2012
Wavelet bases on adele rings. Zbl 1242.42032
Kosyak, A. V.; Khrennikov, A. Yu.; Shelkovich, V. M.
2012
Wavelet analysis on adeles and pseudo-differential operators. Zbl 1272.42023
Khrennikov, A. Y.; Kosyak, A. V.; Shelkovich, V. M.
2012
Quantum-like dynamics of decision-making in prisoner’s dilemma game. Zbl 1272.81025
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu
2012
Pseudodifferential operators on Adele rings and wavelet bases. Zbl 1263.47062
Kosyak, A. V.; Khrennikov, A. Yu.; Shelkovich, V. M.
2012
Bell argument: locality or realism? Time to make the choice. Zbl 1271.81025
Khrennikov, Andrei
2012
Distance dependence of entangled photons in waveguides. Zbl 1271.81024
Khrennikov, A.; Nilsson, B.; Nordebo, S.; Volovich, I. V.
2012
Quantization of propagating modes in optical fibres. Zbl 1278.81175
Khrennikov, A.; Nilsson, B.; Nordebo, S.; Volovich, I. V.
2012
Quantum-like model of diauxie in Escherichia coli: operational description of precultivation effect. Zbl 1397.92077
Asano, Masanari; Basieva, Irina; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro
2012
View of bunching and antibunching from the standpoint of classical signals. Zbl 1280.81062
Khrennikov, A. Yu.
2012
Born’s rule from measurements of classical random signals under the assumption of ergodicity at the subquantum time scale. Zbl 1256.81012
Khrennikov, Andrei
2012
Graded tensor products and the problem of tensor grade computation and reduction. Zbl 1258.81014
Khrennikov, A. Yu.; Rosinger, E. E.; van Zyl, A. J.
2012
Towards a field model of prequantum reality. Zbl 1259.81008
Khrennikov, Andrei
2012
Characterization of ergodicity of $$p$$-adic dynamical systems by using the van der Put basis. Zbl 1247.37007
Anashin, Vladimir S.; Khrennikov, Andrei Yu.; Yurova, Ekaterina I.
2011
The Cauchy problems for evolutionary pseudo-differential equations over $$p$$-adic field and the wavelet theory. Zbl 1218.47071
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2011
Quantum-like model of brain’s functioning: decision making from decoherence. Zbl 1397.91098
Asano, Masanari; Ohya, Masanori; Tanaka, Yoshiharu; Basieva, Irina; Khrennikov, Andrei
2011
Quantum-like model for decision making process in Two players game. A non-Kolmogorovian model. Zbl 1211.81004
Asano, Masanari; Ohya, Masanori; Khrennikov, Andrei
2011
On application of Gorini-Kossakowski-Sudarshan-Lindblad equation in cognitive psychology. Zbl 1214.91096
Asano, Masanari; Ohya, Masanori; Tanaka, Yoshiharu; Khrennikov, Andrei; Basieva, Irina
2011
$$p$$-adic integral operators in wavelet bases. Zbl 1250.42093
Kozyrev, S. V.; Khrennikov, A. Yu.
2011
Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure. Zbl 1237.11051
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2011
Replica procedure for probabilistic algorithms as a model of gene duplication. Zbl 1317.92053
Kozyrev, S. V.; Khrennikov, A. Yu.
2011
Quantum probability from classical signal theory. Zbl 1214.81029
Khrennikov, Andrei; Ohya, Masanori; Watanabe, Noboru
2011
Genetic code and deformation of the 2-dimensional 2-adic metric. Zbl 1253.92040
Khrennikov, Andrei Yu.; Kozyrev, Sergei V.
2011
Prequantum classical statistical field theory: Schrödinger dynamics of entangled systems as a classical stochastic process. Zbl 1210.81026
Khrennikov, Andrei
2011
Subquantum nonlocal correlations induced by the background random field. Zbl 1263.81035
Khrennikov, Andrei
2011
Ubiquitous quantum structure. From psychology to finance. Zbl 1188.91002
Khrennikov, Andrei Y.
2010
Theory of $$p$$-adic distributions. Linear and nonlinear models. Zbl 1198.46001
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2010
Non-Haar $$p$$-adic wavelets and their application to pseudo-differential operators and equations. Zbl 1184.46066
Khrennikov, A. Yu.; Shelkovich, V. M.
2010
...and 261 more Documents
all top 5

#### Cited by 744 Authors

 130 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 62 Foundations of Physics 50 International Journal of Theoretical Physics 41 Journal of Mathematical Psychology 37 Journal of Mathematical Analysis and Applications 36 Journal of Mathematical Physics 34 Theoretical and Mathematical Physics 20 Doklady Mathematics 20 Proceedings of the Steklov Institute of Mathematics 19 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 15 International Journal of Quantum Information 14 Journal of Mathematical Sciences (New York) 14 The Journal of Fourier Analysis and Applications 14 Infinite Dimensional Analysis, Quantum Probability and Related Topics 13 Journal of Number Theory 11 Open Systems & Information Dynamics 10 Abstract and Applied Analysis 9 Artificial Intelligence 9 Indagationes Mathematicae. New Series 8 Physics Letters. A 8 Information Sciences 7 Physica A 7 Advances in Difference Equations 7 Journal of Pseudo-Differential Operators and Applications 6 Letters in Mathematical Physics 6 Reports on Mathematical Physics 6 Chaos, Solitons and Fractals 6 Journal of Mathematical Economics 6 Russian Journal of Mathematical Physics 5 Proceedings of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Annals of Physics 5 Applied and Computational Harmonic Analysis 5 Annales Mathématiques Blaise Pascal 5 Journal of Inequalities and Applications 5 Foundations of Science 5 Quantum Studies: Mathematics and Foundations 5 Journal of Function Spaces 4 Mathematical Notes 4 Advances in Mathematics 4 Applied Mathematics and Computation 4 Results in Mathematics 4 Siberian Mathematical Journal 4 Statistics & Probability Letters 4 Advances in Applied Clifford Algebras 4 Finite Fields and their Applications 4 Discrete and Continuous Dynamical Systems 4 Mathematical Physics, Analysis and Geometry 4 Discrete Dynamics in Nature and Society 4 Journal of High Energy Physics 4 Foundations of Physics Letters 4 International Journal of Number Theory 4 Journal of Fixed Point Theory and Applications 4 Complex Analysis and Operator Theory 4 Journal of Theoretical Biology 3 Computers & Mathematics with Applications 3 Journal of Statistical Physics 3 Physics Letters. B 3 Journal of Geometry and Physics 3 Fuzzy Sets and Systems 3 Journal of Differential Equations 3 Kybernetika 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Theoretical Probability 3 Forum Mathematicum 3 Integral Transforms and Special Functions 3 Izvestiya: Mathematics 3 Soft Computing 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Quantum Information Processing 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Fixed Point Theory and Applications 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 3 Advances in Mathematical Physics 3 Journal of Classical Analysis 3 Advances in Operator Theory 2 Communications in Mathematical Physics 2 International Journal of General Systems 2 Nuclear Physics. B 2 Reviews in Mathematical Physics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Algebra 2 Journal of Approximation Theory 2 Monatshefte für Mathematik 2 Theoretical Computer Science 2 Theory and Decision 2 Transactions of the American Mathematical Society 2 Mathematical Social Sciences 2 Journal of Classification 2 Mathematical and Computer Modelling 2 Discrete Mathematics and Applications 2 Designs, Codes and Cryptography 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Potential Analysis 2 Journal of Applied Non-Classical Logics 2 Filomat 2 Fractional Calculus & Applied Analysis 2 New Journal of Physics ...and 119 more Serials