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| Dmitry Shepelyansky | |
|---|---|
| Name | Dmitry Shepelyansky |
| Birth date | 1960s |
| Birth place | Moscow, Russian SFSR |
| Nationality | Russian |
| Fields | Mathematical physics; nonlinear dynamics; quantum chaos; dynamical systems |
| Alma mater | Moscow State University; Lebedev Physical Institute |
| Doctoral advisor | Lev Landau (institutional lineage) |
| Known for | Research on quantum chaos, dynamical localization, Anderson localization, chaotic transport, kicked rotor |
Dmitry Shepelyansky is a Russian mathematical physicist known for contributions to the theory of chaotic dynamics, quantum chaos, and localization phenomena. His work connects rigorous analysis with computational experiments, influencing research areas spanning from condensed matter physics to atomic physics and astrophysics. Shepelyansky developed models and results that have been applied by researchers at institutions such as CNRS, École Normale Supérieure, Harvard University, and Max Planck Society.
Shepelyansky was born in Moscow and received early training at Moscow State University where he studied physics and mathematics alongside contemporaries from Landau School and the Kurchatov Institute cadre. He pursued postgraduate research at the Lebedev Physical Institute and completed a doctoral thesis under mentors influenced by the legacy of Lev Landau and Alexei Abrikosov, integrating methods from statistical mechanics and spectroscopy traditions. During his formative period he interacted with researchers from Institute for Theoretical and Experimental Physics and attended seminars featuring figures from Landau Institute for Theoretical Physics and Steklov Institute of Mathematics.
Shepelyansky's career spans theoretical analysis and numerical simulation, with research affiliations that included collaborations with scientists at École Normale Supérieure, CNRS Laboratoire de Physique Théorique, and visiting positions connected to University of California, Berkeley and Centre National de la Recherche Scientifique. His methodology blends techniques from perturbation theory as used in Kolmogorov–Arnold–Moser theory, semiclassical analysis related to Gutzwiller trace formula, and random matrix concepts associated with Wigner–Dyson statistics. He has applied these tools to prototype systems such as the kicked rotor, standard map, and variants of the Anderson model, often coupling rigorous estimates with large-scale computations implemented on clusters influenced by Russian Academy of Sciences computing facilities.
Shepelyansky is credited with influential results on dynamical localization in periodically driven quantum systems, notably demonstrating mechanisms for suppression of classical chaos by quantum interference in models related to the kicked rotor and quantum map frameworks. He advanced understanding of quantum resonances and diffusion in the presence of perturbations, connecting to the theory of Anderson localization and phenomena observed in cold-atom experiments at INFM and Institut d'Optique. His analyses of chaotic scattering and fractal Weyl laws informed studies at Max Planck Institute for the Physics of Complex Systems and influenced spectral investigations linked to Selberg trace formula analogues. Shepelyansky also proposed models for interaction-induced delocalization that stimulated work on many-body localization researched at Princeton University and MIT. His studies of quantum transport on complex networks drew connections to results in Erdős–Rényi model contexts and influenced applications in mesoscopic physics studied at Cavendish Laboratory and Bell Labs.
Throughout his career Shepelyansky held positions and visiting appointments across European and American institutions, fostering collaborations with researchers from École Polytechnique, University of Paris-Sud, University of Geneva, University of Oxford, and Stanford University. He contributed to joint projects with members of Laboratoire de Physique Statistique, interacted with specialists from Los Alamos National Laboratory on quantum chaos simulations, and participated in workshops organized by International Centre for Theoretical Physics and NATO Advanced Study Institutes. His collaborative network includes connections to scholars in the communities around Chaos: An Interdisciplinary Journal of Nonlinear Science, Physical Review Letters authorship groups, and editorial activities within topical conferences such as Les Houches Summer School sessions.
Shepelyansky received recognition within the mathematical physics community for his research contributions, including invitations to speak at prominent venues like International Congress on Mathematical Physics and plenary sessions at conferences held by European Physical Society. He was awarded research fellowships and grants from organizations such as CNRS and national science foundations that support theoretical physics in Europe and Russia, and earned visiting professorships sponsored by institutions including École Normale Supérieure and Collège de France.
- Shepelyansky, D.L., seminal papers on quantum suppression of classical chaos and dynamical localization in the kicked rotor and standard map literature, published in journals connected to Physical Review Letters and Journal of Statistical Physics. - Articles analyzing interaction-induced delocalization and many-body effects, cited in contexts with work from Imry, Gornyi, and Altshuler on Anderson localization and many-body localization. - Reviews and contributions to conference proceedings from Les Houches Summer School and NATO Advanced Study Institutes addressing quantum chaos, spectral statistics, and semiclassical methods related to Gutzwiller trace formula.
Category:Russian mathematical physicists Category:Quantum chaos researchers