Sergio Albeverio - Selected Publications#

S. Albeverio, R. Høegh-Krohn: "The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time". In: Journal of Functional Analysis 16, pp. 39--82, 1974.

S. Albeverio, R. Høegh-Krohn: "Oscillatory integrals and the method of stationary phase in infinite-ly many dimensions, with applications to the classical limit of quantum mechanics I". In: Inventiones mathematicae 40, pp. 59-106, 1977.

S. Albeverio, R. Høegh-Krohn: "Dirichlet forms and Markov semigroups on C*-algebras". In: Com-munications in Mathematical Physics 56, pp. 173--187, 1977.

S. Albeverio, A. B. Cruzeiro: "Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two-dimensional fluids". In: Communications in Mathematical Physics 129 (3), pp. 431--444, 1990.

S. Albeverio, M. Röckner: "Stochastic differential equations in infinite dimensions: solutions via Dirichlet forms." In: Probability Theory and Related Fields 89 (3), pp. 347--386, 1991.

S. Albeverio, A. Sengupta: "A mathematical construction of the non-abelian Chern-Simons func-tional integral." In: Communications in Mathematical Physics 186 (3), pp. 563--579, 1997.

S. Albeverio, Yu. G. Kondratiev, M. Röckner: "Analysis and geometry on configuration spaces: the Gibbsian case". In: Journal of Functional Analysis 157 (1), pp. 242--291, 1998.

S. Albeverio, L. Di Persio, E. Mastrogiacomo: "A class of Lévy-driven SDEs and their explicit invar-iant measures". Pot. Anal. 45, pp. 229-250, 2016.

S. Albeverio, S. Mazzucchi: "A unified approach to infinite-dimensional integration". In: Reviews in Mathematical Physics 28 (2): 1650005, 43 pp., 2016.

S. Albeverio, I. M. Karabash: "On the multilevel internal structure of the asymptotic distribution of resonances". In: J. Diff. Equations 267, pp. 6171-6197, 2019.

S. Albeverio, S. Rabanovich: "On a class of unitary representations of the braid groups B3 and B4". In: Bull. Sci. Math. 153, pp. 35-56, 2019.

S. Albeverio, N. Cangiotti, S. Mazzucchi: "A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field". In: Comm. Math. Phys. 377, pp. 1461-1503, 2020.

S. Albeverio, F. C. De Vecchi, M. Gubinelli: "Elliptic stochastic quantization". Ann. Prob. 48 (4), pp. 1693--1741, 2020.

S. Albeverio, S. Kusuoka: "The invariant measure and the flow associated to the Φ43-quantum field model". In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 20 (4), pp. 1359--1427, 2020.

S. Albeverio, Z. Brzezniak, A. Daletskii: "Stochastic Camassa-Holm equation with convection type noise". J. Diff. Equations 276, pp. 404--432, 2021.

Monographs:

S. Albeverio, R. Høegh-Krohn: Mathematical theory of Feynman path integrals, an introduction. Berlin: Springer, 1976.

Second edition: S. Albeverio, R. Høegh-Krohn, S. Mazzucchi: Mathematical theory of Feynman path integrals. Berlin: Springer, 2008.

S. Albeverio, J. E. Fenstad, R. Høegh-Krohn, T. Lindstrøm: Nonstandard methods in stochastic analysis and mathematical physics. Academic Press, 1986. Reprint by Dover Books on Mathematics, 2009.

S. Albeverio, F. Gesztesy, R. Høegh-Krohn, H. Holden: Solvable models in quantum mechanics. Berlin: Springer, 1988.
Russian translation by: Yu. A. Kuperin, K. A. Makarov, V. A. Geilerk. Moscow: Mir, 1990.
Second revised edition with an appendix by P. Exner. Providence, RI: AMS Chelsea, 2005.

S. Albeverio, R. Høegh-Krohn, J. Marion, D. Testard, B. Torresani: Noncommutative distributions – unitary representation of gauge groups and algebras. New York: M. Dekker, 1993.

S. Albeverio, J. Jost, S. Paycha, S. Scarlatti: A mathematical introduction to string theory – Varia-tional problems, geometric and probabilistic methods. Cambridge University Press, 1997.

S. Albeverio, P. Kurasov: Singular perturbations of differential operators – solvable Schrödinger type operators. Cambridge University Press, 2000.

S. Albeverio, W. Schachermayer, M. Talagrand: Lectures on Probability Theory and Statistics. Lec-tures from the 30th Summer School on Probability Theory held in Saint-Flour, August 17–September 3, 2000. Berlin: Springer, 2003.

S. Albeverio, F. Flandoli, Y. G. Sinai: SPDE in hydrodynamic: recent progress and prospects. Lecture given at the C.I.M.E. Summer School held in Cetraro, August 29–September 3, 2005. Berlin: Springer; Florence: Fondazione C.I.M.E., 2008.

S. Albeverio, Y. Kondratiev, Y. Kozitsky, M. Röckner: The statistical mechanics of quantum lattice systems – a path integral approach. Zürich: European Mathematical Society, 2009.

S. Albeverio, A. Y. Khrennikov, V. M. Shelkovich: Theory of p-adic distributions – linear and non-linear models. Cambridge University Press, 2010.

S. Albeverio, R. Fan, F. Herzberg: Hyperfinite Dirichlet forms and stochastic processes. Heidelberg: Springer; Bologna: UMI, 2011.

S. Albeverio, H. Föllmer, L. Gross, E. Nelson: Mathematical physics at Saint-Flour. Heidelberg: Springer, 2012.

Selected edited books:

S. Albeverio, J. E. Fenstad, H. Holden, T. Lindstrøm (eds.): Ideas and Methods in Mathematical Analysis, Stochastics and Applications. Raphael Høegh-Krohn Memorial Volume 1. Cambridge Uni-versity Press, 1992.

S. Albeverio, J. E. Fenstad, H. Holden, T. Lindstrøm (eds.): Ideas and Methods in Quantum and Sta-tistical Physics. Raphael Høegh-Krohn Memorial Volume 2. Cambridge University Press, 1992.

S. Albeverio, D. Merlini, R. Tartini (eds.): Stochastic Processes – Physics and Geometry II. Locarno: World Scientific, 1995.

S. Albeverio, V. Jentsch, H. Kantz (eds.): Extreme events in nature and society. Berlin: Springer, 2006.

S. Albeverio, F. Minazzi (eds.): Foundations of Mathematics today – Note di Matematica, Storia, Cultura. PRISTEMStoria 14/15, 2006.

S. Albeverio, A. Vancheri, P. Giordano, D. Andrey (eds.): The Dynamics of Complex Urban Systems – an interdisciplinary approach. Heidelberg: Springer, 2007.

S. Albeverio, M. Marcolli, S. Paycha, J. Plazas (eds.): Traces in number theory, geometry and quantum fields. Bonn: Max-Planck-Institute for Mathematics; Wiesbaden: Friedr. Vieweg & Sohn, 2008.

S.-M. Fei, S. Albeverio, A. Cabello, N.-H. Jing, D. Goswani (eds.): Quantum Information and Entan-glement. Hindawi, 2010.

S. Albeverio, Ph. Blanchard (eds.): Direction of time. Cham: Springer, 2014.

S. Albeverio, A. B. Cruzeiro, D. Holm (eds.): Stochastic geometric mechanics. Papers from the Research Semester “Geometric Mechanics—Variational and Stochastic Methods” held at the Centre Interfacultaire Bernoulli (CIB), École Polytechnique Fédérale de Lausanne, January–June 2015. Cham: Springer, 2017.

S. Albeverio, P. Giordano, A. Vancheri (eds.): Metodi e modelli matematici per le dinamiche urbane. Milano: Springer Italia, 2021.

S. Albeverio, A. Balslev, R. Weder (eds.): Schrödinger Operators, Spectral Analysis and Number Theory – In Memory of Erik Balslev. Springer, 2021.

Selection of publications in other areas:

S. Albeverio, E. Castellani: “Problematica sul tema umanesimo e tecnica”. Cenobio, Fasc. Spec., 29–48, 1962.

S. Albeverio: “Galileo e lo sviluppo della scienza moderna”. In: Riv. Tecnica Svizz. Ital. 6, 69–71, 1984.

S. Albeverio: “Interdisciplinarità, matematica e progetti universitari”, pp. 45–52 in: A. Petralli, S. Vassere (eds.): L’Università della comunicazione. Atti Convegno, Ascona, Monte Verità, 1994.

S. Albeverio: “Come orientarsi in un mondo complesso – Considerazione sull’opportunità di un approccio interdisciplinare”, pp. 2–5 in: “Quaderni dell’aggiornamento”, La riforma degli studi liceali, Numero Speciale, Aprile 1997, IAA, Locarno.

S. Albeverio, M. Carrier, J. Roggenhofer, G. Küppers, Ph. Blanchard (eds.): “Some remarks on pragmatism, mathematics and some recent debates on science and culture”, pp. 98–104 in: Knowledge and the world – Challenges beyond the science wars. Proc. Conf. ZiF Bielefeld. Berlin: Springer, 2004.

S. Albeverio: “Alcune riflessioni sui problemi attuali dell’università e della ricerca”, pp. 25–32 in: L’Università oggi: quali prospettive? Atti Convegno Lugano, guigno 2005. Il Protagora, a. XXXIV, gennaio-giugno 2006, quinta serie, n. 7, 2006.

S. Albeverio, A. Vancheri, P. Giordano, D. Andrey: “Modelli matematici per la simulazione della dinamica dei sistemi urbani” Archi nr. 2, Casagrande, Bellinzona, pp. 67–69, 2006.

S. Albeverio: “Scienza, Tecnica e potere”, pp. 29–37 in Proc. “Low Power Society, not Low Price Society”, Atti del Convegno, Ascona, Monte Verità 2008; AlchimiArte, Muralto, ELR Edizioni Le Ricerche, Losone, 2009.

S. Albeverio: “Progresso scientifico, mercificazione della conoscenza e problematiche dello sviluppo”, pp. 15–20 in: La fine di una credenza verso l’era del doposviluppo. Monte Verità, Ascona, Ceno-bio, 2007.

S. Albeverio: “Il limite come problema – scienza e realtà”, pp. 27–34 in: G. F. Alberti (ed.): La frontiera scompassa – globalizzazione e cultura dopo la crisi. Ascona, Monte Verità, 2010. Mimesis, 2013.

S. Albeverio: “Il pensiero matematico”, pp. 386–387 in M. Botta (ed.): Tracce di una Scuola. Accademia di Architettura in Mendrisio, 1996–2021. Mendrisio, Academy Press, Electa, 2021.

More comprehensive publication lists can be found at my webpage at the Institute for Applied Mathematics, University of Bonn: https://wt.iam.uni-bonn.de/albeverio/publications