Sergio Albeverio (born 17 January 1939)
is a
Swiss
Swiss may refer to:
* the adjectival form of Switzerland
* Swiss people
Places
* Swiss, Missouri
* Swiss, North Carolina
*Swiss, West Virginia
* Swiss, Wisconsin
Other uses
*Swiss-system tournament, in various games and sports
*Swiss Internation ...
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
and mathematical
physicist
A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe.
Physicists generally are interested in the root or ultimate caus ...
working in numerous fields of mathematics and its applications. In particular he is known for his work in
probability theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set o ...
,
analysis
Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...
(including
infinite dimensional,
non-standard
Standardization or standardisation is the process of implementing and developing technical standards based on the consensus of different parties that include firms, users, interest groups, standards organizations and governments. Standardization ...
, and
stochastic analysis),
mathematical physics
Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...
, and in the areas
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary a ...
,
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
,
number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...
, as well as in applications, from
natural
Nature, in the broadest sense, is the physical world or universe. "Nature" can refer to the phenomena of the physical world, and also to life in general. The study of nature is a large, if not the only, part of science. Although humans are p ...
to
social
Social organisms, including human(s), live collectively in interacting populations. This interaction is considered social whether they are aware of it or not, and whether the exchange is voluntary or not.
Etymology
The word "social" derives from ...
-
economic sciences
Economics () is the social science that studies the production, distribution, and consumption of goods and services.
Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analyzes ...
.
He initiated (with
Raphael Høegh-Krohn) a systematic mathematical theory of
Feynman path integrals and of infinite dimensional
Dirichlet form
In potential theory (the study of harmonic function) and functional analysis, Dirichlet forms generalize the Laplacian (the mathematical operator on scalar fields). Dirichlet forms can be defined on any measure space, without the need for mentionin ...
s and associated
stochastic process
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appea ...
es (with applications particularly in quantum mechanics, statistical mechanics and quantum field theory). He also gave essential contributions to the development of areas such as
''p''-adic functional and stochastic analysis as well as to the
singular perturbation theory In mathematics, a singular perturbation problem is a problem containing a small parameter that cannot be approximated by setting the parameter value to zero. More precisely, the solution cannot be uniformly approximated by an asymptotic expansion
: ...
for
differential operator
In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and return ...
s. Other important contributions concern
constructive quantum field theory and
representation theory of infinite dimensional
groups
A group is a number of persons or things that are located, gathered, or classed together.
Groups of people
* Cultural group, a group whose members share the same cultural identity
* Ethnic group, a group whose members share the same ethnic iden ...
. He also initiated a new approach to the study of galaxy and planets formation inspired by
stochastic mechanics.
Life and career
* Albeverio is the son of Olivetta Albeverio Brighenti (1910–1968, tailor and then housewife) and Luigi (Gino) Albeverio (1905–1968, plumber and then owner of a small company of heating and plumbing). He grew up in Lugano, Switzerland. He is married to Solvejg Albeverio Manzoni (painter and writer) since 1970. They have a daughter, Mielikki Albeverio (dipl. socialsc.).
* Study of mathematics and physics at the ETH Zürich with a Diploma Thesis (1962) under the direction of
Markus Fierz
Markus Eduard Fierz (20 June 1912 – 20 June 2006) was a Swiss physicist, particularly remembered for his formulation of spin–statistics theorem, and for his contributions to the development of quantum theory, particle physics, and statistica ...
and
David Ruelle, and a PhD Thesis (1966) under the direction of
Res Jost and Markus Fierz.
* Assistant at ETH Zürich (1962–67), visiting lecturer at
Imperial College
Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...
(1967–68,
R. F. Streater
Raymond Frederick "Ray" Streater (born 1936) is a British physicist, and professor emeritus of Applied Mathematics at King's College London. He is best known for co-authoring a text on quantum field theory, the 1964 ''PCT, Spin and Statistics ...
). Invitation by
Irving Segal
Irving Ezra Segal (1918–1998) was an American mathematician known for work on theoretical quantum mechanics. He shares credit for what is often referred to as the Segal–Shale–Weil representation. Early in his career Segal became known for h ...
as co-worker (
MIT, 1968–69), replaced by a year stay as teacher at Liceo Cantonale,
Lugano
Lugano (, , ; lmo, label=Ticinese dialect, Ticinese, Lugan ) is a city and municipality in Switzerland, part of the Lugano District in the canton of Ticino. It is the largest city of both Ticino and the Italian-speaking southern Switzerland. Luga ...
, due to family reasons.
* Research Fellowship at
Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
(1970–72,
A. S. Wightman
Arthur Strong Wightman (March 30, 1922 – January 13, 2013) was an American mathematical physicist. He was one of the founders of the axiomatic approach to quantum field theory, and originated the set of Wightman axioms. With his rigorous treatm ...
). Visiting Professorships at
University of Oslo
The University of Oslo ( no, Universitetet i Oslo; la, Universitas Osloensis) is a public research university located in Oslo, Norway. It is the highest ranked and oldest university in Norway. It is consistently ranked among the top universit ...
(1973–77, R. Høegh-Krohn),
University of Naples (1973–74, G. F. Dell'Antonio),
University of Aix-Marseille II (1976–77, D. Kastler, R. Stora).
* Since 1977 permanent professorships in Germany:
** 1977–79
University of Bielefeld
Bielefeld University (german: Universität Bielefeld) is a university in Bielefeld, Germany. Founded in 1969, it is one of the country's newer universities, and considers itself a "reform" university, following a different style of organization a ...
** 1979–97 Titular of Chair for Probability and Mathematical Physics,
Ruhr-University Bochum
The Ruhr University Bochum (, ) is a public research university located in the southern hills of the central Ruhr area, Bochum, Germany. It was founded in 1962 as the first new public university in Germany after World War II. Instruction began in ...
** Since 1997: Titular of Chair for Probability and
Mathematical Statistics,
University of Bonn
The Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine U ...
(
Emeritus
''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title ...
since 2008). Member of the
Hausdorff Center for Mathematics
The Hausdorff Center for Mathematics (HCM) is a research center in Bonn, formed by the four mathematical institutes of the Rheinische Friedrich-Wilhelms-Universität Bonn (Mathematical Institute, Institute for Applied Mathematics, Institute for ...
since its foundation (2006).
* 1997–2009: Professor and Director of Mathematics Section at
Accademia di Architettura, USI,
Mendrisio
Mendrisio (; lmo, label= Ticinese, Mendris ) is a municipality in the district of Mendrisio in the canton of Ticino in Switzerland.
Mendrisio is the seat of the Accademia di Architettura of the university of Italian-speaking Switzerland (U ...
; 2011–2015 Chair Professorship in Mathematics,
KFUPM,
Dhahran.
* Longer research and invited professorship positions at many universities and research centers in
Europe
Europe is a large peninsula conventionally considered a continent in its own right because of its great physical size and the weight of its history and traditions. Europe is also considered a Continent#Subcontinents, subcontinent of Eurasia ...
,
China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and ...
,
Japan
Japan ( ja, 日本, or , and formally , ''Nihonkoku'') is an island country in East Asia. It is situated in the northwest Pacific Ocean, and is bordered on the west by the Sea of Japan, while extending from the Sea of Okhotsk in the north ...
,
Mexico
Mexico (Spanish: México), officially the United Mexican States, is a country in the southern portion of North America. It is bordered to the north by the United States; to the south and west by the Pacific Ocean; to the southeast by Guatema ...
,
USSR
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nationa ...
/
Russia
Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the ...
,
USA
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country Continental United States, primarily located in North America. It consists of 50 U.S. state, states, a Washington, D.C., ...
.
Research interests
Albeverio's main research interests include probability theory (stochastic processes; stochastic analysis;
SPDEs); analysis (functional and infinite dimensional, non-standard, ''p''-adic); mathematical physics (
classical and
quantum
In physics, a quantum (plural quanta) is the minimum amount of any physical entity (physical property) involved in an interaction. The fundamental notion that a physical property can be "quantized" is referred to as "the hypothesis of quantizati ...
, in particular
hydrodynamics
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and ...
,
statistical physics,
quantum field theory
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
,
quantum information
Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both th ...
,
astrophysics
Astrophysics is a science that employs the methods and principles of physics and chemistry in the study of astronomical objects and phenomena. As one of the founders of the discipline said, Astrophysics "seeks to ascertain the nature of the h ...
); geometry (
differential,
non-commutative);
topology
In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such ...
(
configuration spaces,
knot theory
In the mathematical field of topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are ...
);
operator algebras,
spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result o ...
;
dynamical systems
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a p ...
,
ergodic theory
Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expres ...
,
fractal
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illu ...
s; number theory (
analytic,
''p''-adic); representation theory; algebra;
information theory
Information theory is the scientific study of the quantification (science), quantification, computer data storage, storage, and telecommunication, communication of information. The field was originally established by the works of Harry Nyquist a ...
and
statistics
Statistics (from German language, German: ''wikt:Statistik#German, Statistik'', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of ...
; applications of mathematics in
biology
Biology is the scientific study of life. It is a natural science with a broad scope but has several unifying themes that tie it together as a single, coherent field. For instance, all organisms are made up of cells that process hereditary i ...
,
earth science
Earth science or geoscience includes all fields of natural science related to the planet Earth. This is a branch of science dealing with the physical, chemical, and biological complex constitutions and synergistic linkages of Earth's four spheres ...
s,
economics
Economics () is the social science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services.
Economics focuses on the behaviour and intera ...
,
engineering
Engineering is the use of scientific method, scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings. The discipline of engineering encompasses a broad rang ...
,
physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
, social sciences, models for urban systems;
epistemology
Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics.
Episte ...
,
philosophical and
cultural
Culture () is an umbrella term which encompasses the social behavior, institutions, and Social norm, norms found in human Society, societies, as well as the knowledge, beliefs, arts, laws, Social norm, customs, capabilities, and habits of the ...
issues.
Achievements
S. Albeverio has served on many advisory boards, committees and associations, including:
* Committee of
International Association of Mathematical Physics
The International Association of Mathematical Physics (IAMP) was founded in 1976 to promote research in mathematical physics. It brings together research mathematicians and theoretical physicists, including students. The association's ordinary memb ...
* Advisory Board of the Doppler Institute,
Prague
Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate ...
* Advisory Board of CFM,
Lisbon
Lisbon (; pt, Lisboa ) is the capital and largest city of Portugal, with an estimated population of 544,851 within its administrative limits in an area of 100.05 km2. Grande Lisboa, Lisbon's urban area extends beyond the city's administr ...
* Scientific Board of Mathematical Research Institute,
Linnaeus University,
Växjö
* Committee for Evaluation of Research (CIVR),
Rome
, established_title = Founded
, established_date = 753 BC
, founder = King Romulus (legendary)
, image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg
, map_caption ...
* Panel member of
ERC Synergy
* Nucleo di Valutazione (supervisory council) of
Universitá di Roma III
* Jury member for
Universitá di Roma I, La Sapienza
* Evaluation board of the
Oberwolfach Mathematical Research Institute
* Scientific Director of the Research Center for Mathematics and Physics (CERFIM),
Locarno
, neighboring_municipalities= Ascona, Avegno, Cadenazzo, Cugnasco, Gerra (Verzasca), Gambarogno, Gordola, Lavertezzo, Losone, Minusio, Muralto, Orselina, Tegna, Tenero-Contra
, twintowns =* Gagra, Georgia
* Karlovy Vary, Czech Republic
...
, and MACS-Lab (USI, Mendrisio)
* Directory of the Institute for Scientific and Interdisciplinary Studies (ISSI), Locarno
* Scientific Committee at the Center for Interdisciplinary Research (ZiF), Bielefeld University
* Scientific Director at the Interdisciplinary Center for Complex Systems (IZKS), University of Bonn
* Esperto at Liceo Cantonale,
Bellinzona
Bellinzona ( , , Ticinese ; french: Bellinzone ; german: Bellenz ; rm, Blizuna )is a municipality, a historic Swiss town, and the capital of the canton of Ticino in Switzerland. The town is famous for its three castles (Castelgrande, Montebell ...
* Honorary Member of Società Matematica Svizzera Italiana (SMASI)
* Host of over 30
Alexander v. Humboldt Fellows; over 30 PhD students supervised
* Organizer of over 70 international conferences, symposia, and workshops
Awards and prizes
* 1992: Max-Planck Award in mathematics (with Z. M. Ma and M. Röckner)
* 1998: Nomination ''Professor per Chiara Fama'',
University of Rome II
* 2000: Conference in Honor of S. Albeverio for his 60th birthday,
Max Planck Institute for Mathematics in the Sciences,
Leipzig
Leipzig ( , ; Upper Saxon: ) is the most populous city in the German state of Saxony. Leipzig's population of 605,407 inhabitants (1.1 million in the larger urban zone) as of 2021 places the city as Germany's eighth most populous, as wel ...
, on Stochastic Processes, Physics and Geometry
* 2002: Doctor ''
honoris causa
An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements. It is also known by the Latin phrases ''honoris causa'' ("for the sake of the honour") or ''ad hono ...
'' of the University of Oslo on the occasion of the bicentennial of the birth of
Niels H. Abel
* 2002: Long-term professorship ''per chiara fama'',
University of Trento
The University of Trento (Italian: ''Università degli Studi di Trento'') is an Italian university located in Trento and nearby Rovereto. It has been able to achieve considerable results in didactics, research, and international relations accor ...
* 2002: Chair of plenary session at the
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the Nevanlinna Prize (to be rename ...
(ICM),
Beijing
}
Beijing ( ; ; ), alternatively romanized as Peking ( ), is the capital of the People's Republic of China. It is the center of power and development of the country. Beijing is the world's most populous national capital city, with over 21 ...
* Since 2002: Listed in the
ISI Highly Cited
The Institute for Scientific Information (ISI) was an academic publishing service, founded by Eugene Garfield in Philadelphia in 1956. ISI offered scientometric and bibliographic database services. Its specialty was citation indexing and analysis, ...
* 2003: Prize for Interdisciplinary Project, University of Bonn
* 2015: Director (with
A. B. Cruzeiro and D. Holm) of the Research Semester on ''Geometric Mechanics, Variational and Stochastic Methods'' at Centre Interfacultaire Bernoulli (CIB),
EPFL
* Over 250 invited lectures at international conferences in Mathematics, Physics and applications, including:
** Plenary lectures at the
International Congress of Mathematical Physics (ICMP): Rome 1977, Boulder 1983, Marseille 1986, Swansea 1988; organization of a session at Lisbon 2003
** 1994:
N. Wiener
Norbert Wiener (November 26, 1894 – March 18, 1964) was an American mathematician and philosopher. He was a professor of mathematics at the Massachusetts Institute of Technology (MIT). A child prodigy, Wiener later became an early researcher i ...
Memorial Symposium,
East Lansing
** 1995:
S. Lefschetz Memorial Lecture,
Mexico City
Mexico City ( es, link=no, Ciudad de México, ; abbr.: CDMX; Nahuatl: ''Altepetl Mexico'') is the capital and largest city of Mexico, and the most populous city in North America. One of the world's alpha cities, it is located in the Valley o ...
** 2000: Lectures at Saint-Flour on the occasion of the 30th anniversary of the ''Saint-Flour Lectures in Probability''
** 2005: Plenary lecture for the conference on the occasion of
K. Itô's 90th birthday,
Oslo
Oslo ( , , or ; sma, Oslove) is the capital and most populous city of Norway. It constitutes both a county and a municipality. The municipality of Oslo had a population of in 2022, while the city's greater urban area had a population of ...
* Plenary lectures at symposia/conferences in honor of: G. Da Prato (1996), G. F. Dell'Antonio (2003 and 2013), L. Gross (2010), E. Balslev (2010), F. Guerra (2013), H. Holden (2016), D. Holm (2017)
Selected publications
Over 900 publications in scientific journals or volumes of proceedings.
Monographs
*with
Raphael Høegh-Krohn: ''Mathematical theory of Feynman Path Integrals'', Lecture Notes in Mathematics, Band 523,
Springer Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Originally founded in 1842 in ...
1976, 2nd ed. (with Raphael Høegh-Krohn and Sonia Mazzucchi) 2008
*with Raphael Høegh-Krohn,
Jens Erik Fenstad
Jens Erik Fenstad (15 April 1935 – 13 April 2020) was a Norwegian mathematician.
Fenstad graduated as ''mag.scient.'' from the University of Oslo in 1959, and worked as a research fellow there and at University of California, Berkeley, UC Berk ...
, Tom Lindstrøm: ''
Nonstandard Methods in stochastic analysis and mathematical physics'',
Academic Press
Academic Press (AP) is an academic book publisher founded in 1941. It was acquired by Harcourt, Brace & World in 1969. Reed Elsevier bought Harcourt in 2000, and Academic Press is now an imprint of Elsevier.
Academic Press publishes reference ...
1986,
Dover
Dover () is a town and major ferry port in Kent, South East England. It faces France across the Strait of Dover, the narrowest part of the English Channel at from Cap Gris Nez in France. It lies south-east of Canterbury and east of Maidstone ...
2009 Russian translation by A. K. Svonskin, M. A. Shubin,
Moscow
Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million ...
: Mir (1990)
*with
Fritz Gesztesy, Raphael Høegh-Krohn,
Helge Holden
Helge Holden (born 28 September 1956) is a Norwegian mathematician working in the field of differential equations and mathematical physics. He was Praeses of the Royal Norwegian Society of Sciences and Letters from 2014 to 2016.
He earned the ...
: ''Solvable Models in Quantum Mechanics'', Springer 1988, 2nd ed., American Mathematical Society Chelsea Publishing, 2005 Russian translation by Yu. A. Kuperin, K. A. Makarov, V. A. Geilerk, Moscow: Mir (1990)
*with Raphael Høegh-Krohn, J. Marion, D. Testard, B. Torresani: ''Noncommutative distributions: unitary representations of gauge groups and algebras'', Marcel Dekker 1993
*with Jürgen Jost, Sylvie Paycha, Sergio Scarlatti: ''A mathematical introduction to String Theory. Variational Problems, Geometric and Probabilistic Methods'', Cambridge University Press 1997
*with Pavel Kurasov: ''Singular perturbations of differential operators. Solvable Schrödinger type operators'', London Mathematical Society Lecturenotes, Cambridge University Press 2000
*with Franco Flandoli, Yakov G. Sinai, edited by Giuseppe Da Prato and Michael Röckner: ''SPDEs in hydrodynamics: recent progress and prospects.'' Lectures given at the C.I.M.E. Summer School held in Cetraro, 29 August –3 September 2005. Lecture notes in mathematics, 1942. Berlin: Springer, Florence: Fondazione C.I.M.E. 2008
*with Yuri Kondratiev, Yuri Kozitsky, Michael Röckner: ''The statistical mechanics of quantum lattice systems. A path integral approach.'' EMS Tracts in Mathematics 8, Zürich: European Mathematical Society 2009
*with R.-Z. Fan, F. S. Herzberg: ''Hyperfinite Dirichlet forms and stochastic processes'', Berlin: Springer 2010
*with A. Khrennikov, V. Shelkovich: ''Theory of p-adic distributions: linear and nonlinear models'', Cambridge University Press 2010
*with L. Gross and E. Nelson: ''Mathematical Physics at Saint-Flour'', Berlin: Springer 2012. (Reprint of Saint-Flour Lecture in 2000, first published in S. Albeverio, W. Schachermayer, M. Talagrand: ''Lectures in Probability and Statistics. Lectures from the 30th Summer School in Probability Theory held in Saint-Flour, 2000''. Berlin: Springer 2003)
Edited books (selection)
* with M. Demuth, E. Schrohe, B.-W. Schulze: ''Parabolicity, Volterra calculus, and conical singularities. A volume of advances in partial differential equations''. Operator Theory: Advances and Applications 138, Basel: Birkhäuser (2002)
* with M. Demuth, E. Schrohe, B.-W. Schulze: ''Nonlinear hyperbolic equations, spectral theory, and wavelet transformations''. Operator Theory: Advances and Applications 145, Basel: Birkäuser (2003)
* with Z.-M. Ma, M. Röckner: ''Recent Developments in Stochastic Analysis and Related Topics''. Proceedings of the first Sino-German conference on stochastic analysis, Beijing, China, 29 August – 3 September 2002, World Scientific (2004)
* with A. B. de Monvel, H. Ouerdiane: ''Proceedings of the International Conference on Stochastic Analysis and Applications''. Hammamet, 22–27 October 2001. Dordrecht: Kluwer Academ. Publ. (2004)
* with F. De Martini and G. F. Dell'Antonio: ''Entanglement and decoherence: mathematics and physics of quantum information and computation''. Oberwolfach Rep. 2 (1), pp. 185–255 (2005) (EMS Publ.)
* with V. Jentsch, H. Kantz: ''Extreme events in nature and society''. Berlin: Springer (2006)
* with F. Minazzi: ''Foundations of Mathematics today''. Note di Matematica, Storia, Cultura, PRISTEMStoria 14/15 (2006)
* with A. Vancheri, P. Giordano, D. Andrey: ''The Dynamics of the Complex Urban Systems: An interdisciplinary approach''. Heidelberg: Springer (2007)
* with M. Marcolli, S. Paycha, J. Plazas: ''Traces in Geometry, Number Theory, and Quantum Fields''. Wiesbaden: Vieweg (2008)
* with S.-M. Fei, A. Cabello, N.-H. Jing, D. Goswami: ''Quantum Information and Entanglement''. Advances in Mathematical Physics 2010 (2010)
* with Ph. Blanchard: ''Direction of Time''. Berlin: Springer (2016)
References
External links
Homepage of Sergio Albeverio at Bonn University(includes a list of publications)
Sergio Albeverioat the
Hausdorff Center for Mathematics
The Hausdorff Center for Mathematics (HCM) is a research center in Bonn, formed by the four mathematical institutes of the Rheinische Friedrich-Wilhelms-Universität Bonn (Mathematical Institute, Institute for Applied Mathematics, Institute for ...
Sergio Albeverioat
MathSciNetSergio Albeverioat
Mathematics Genealogy ProjectSergio Albeverioat
ResearchGate
ResearchGate is a European commercial social networking site for scientists and researchers to share papers, ask and answer questions, and find collaborators. According to a 2014 study by ''Nature'' and a 2016 article in ''Times Higher Education'' ...
{{DEFAULTSORT:Albeverio, Sergio
1939 births
Living people
Swiss mathematicians
University of Bonn faculty