Andrei Y. Khrennikov is Professor of Mathematics at Linnaeus University, Sweden and Director of the multidisciplinary research group International Center for Mathematical Modeling (ICMM). His research interests include the foundations of quantum physics and quantum information, the foundations of probability (in particular, studies on negative probabilities), cognitive modeling, dynamical systems, p-adic and ultrametric models in psychology, physics, and geology. He is the author of 20 monographs and around 400 papers in mathematics, physics, biology, cognitive science, economics, and finance.
Inhaltsangabe
1. p-adic analysis: essential ideas and results 2. Ultrametric geometry: cluster networks and buildings 3. p-adic wavelets 4. Ultrametricity in the theory of complex systems 5. Some applications of wavelets and integral operators 6. p-adic and ultrametric models in geophysics 7. Recent development of the theory of p-adic dynamical systems 8. Parabolic-type equations, Markov processes, and models of complex hierarchic systems 9. Stochastic heat equation driven by Gaussian noise 10. Sobolev-type spaces and pseudodifferential operators 11. Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields 12. Heat traces and spectral zeta functions for p-adic laplacians References Index.
1. p-adic analysis: essential ideas and results 2. Ultrametric geometry: cluster networks and buildings 3. p-adic wavelets 4. Ultrametricity in the theory of complex systems 5. Some applications of wavelets and integral operators 6. p-adic and ultrametric models in geophysics 7. Recent development of the theory of p-adic dynamical systems 8. Parabolic-type equations, Markov processes, and models of complex hierarchic systems 9. Stochastic heat equation driven by Gaussian noise 10. Sobolev-type spaces and pseudodifferential operators 11. Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields 12. Heat traces and spectral zeta functions for p-adic laplacians References Index.
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