Dario Trevisan - Home page degli studenti di Matematica

Dario Trevisan
Scuola Normale Superiore
Classe di Scienze
Piazza dei Cavalieri, 7
Pisa, 56126, Italy
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Email:
Homepage:
+39 331 2899761
[email protected]
poisson.dm.unipi.it/~trevisan/
Areas of specialization
Mathematical analysis and probability: (stochastic) differential equations, Markov processes and
semigroups; Malliavin calculus and Gaussian spaces.
Current position
Ph.D. student at Scuola Normale Superiore, Pisa, Italy.
Education
2011-pres
2006-2011
2009-2011
2006-2009
Perfezionamento (Ph.D.) in Mathematics, Scuola Normale Superiore
Diploma corso ordinario, Scuola Normale Superiore
Laurea magistrale (M.Sc.) in Mathematics, Universit`a di Pisa
Laurea triennale (B.Sc.) in Mathematics, Universit`a di Pisa
Journal Articles
2014
D. Trevisan, Lagrangian flows driven by BV fields in Wiener spaces. Submitted
D. Trevisan, A short proof of Stein’s universal multiplier theorem. To
appear in S´eminaire de Probabilit´es
L. Ambrosio and D. Trevisan, Well posedness of Lagrangian flows and continuity equations in metric measure spaces. To appear in Analysis & PDE
G.M. Dall’Ara and D. Trevisan, Uncertainty Inequalities on Groups and Homogeneous Spaces via Isoperimetric Inequalities. The Journal of Geometric
Analysis
2013
D. Trevisan, BV -regularity for the Malliavin derivative of the maximum of
the Wiener process. Electronic Communications in Probability, vol. 18
D. Trevisan, Zero noise limits using local times. Electronic Communications
in Probability, vol. 18
Dario Trevisan
2012
M. Pratelli and D. Trevisan, Functions of bounded variation on the classical Wiener space and an extended Ocone-Karatzas formula. Stochastic
Processes and their Applications, vol. 122
Academic Talks and Posters
2014
Uncertainty Principle via Isoperimetric Inequalities. Contributed talk at
XXXIV Convegno Nazionale di Analisi Armonica, Pisa
Lagrangian Flows and Continuity Equations on Metric Measure Spaces.
Invited talk at School and workshop on Analysis and Geometry on Singular Spaces,
Pisa
Lagrangian Flows and Continuity Equations on Metric Measure Spaces.
Invited talk at Analysis Seminar at Mathematisches Institut, Universit¨
at Basel
Towards a Di Perna-Lions Theory on RCD Spaces. Contributed talk at
XXIV Convegno Nazionale di Calcolo delle Variazioni, Levico Terme
2013
A Di Perna-Lions Theory on Wiener Spaces. Invited talk at Seminari di
calcolo delle variazioni e analisi geometrica, Universit`
a di Pisa
Diseguaglianza isoperimetrica con tecniche di semigruppi (Isoperimetric
Inequalities via Semigroups). Invited talk at Seminari del Dottorato di Ricerca,
Universit`
a di Firenze
2012
BV Functions on the Classical Wiener Space: an Extended Clark-OconeKaratzas Formula. Contributed talk at PRIN 2008 final conference, Pescara
Malliavin Regularity for sup0≤t≤T Wt . Poster session at Workshop on Stochastic
Analysis and Applications, EPFL Lausanne
2011
BV Functions on the Classical Wiener Space and an Extension of the
Clark-Ocone-Karatzas Formula. Contributed talk at 5th ICSAA, Bonn
Teaching
2014
TA: Complementi di Matematica (Real Analysis, Multivariable calculus and
differential equations) at Scuola Normale Superiore. Lectures given by L. Ambrosio.
2013
TA: Complementi di Matematica at Scuola Normale Superiore. Lectures given
by F. Ricci.
2
Dario Trevisan
2012
3
TA: Istituzioni di Probabilit`
a (Stochastic Analysis) at Universit`
a di Pisa. Lectures given by F. Flandoli.
TA: Complementi di Matematica at Scuola Normale Superiore. Lectures given
by F. Ricci.
2011
Teaching assistant (TA): Introduzione alla Teoria della Misura e l’Analisi
Funzionale (Introduction to Measure theory and Functional Analysis) at Scuola
Normale Superiore. Lectures given by L. Ambrosio.
Broad Audience Talks
2013
Il problema di Didone (Dido’s problem), at Corso di orientamento universitario
(university preparation for high school students), in Rome, organized by Scuola
Normale Superiore
2012
L’equilibrio di Nash nella teoria dei giochi (Nash equilibria in game theory), at
Corso di orientamento universitario, in San Miniato, organized by Scuola Normale
Superiore
2011
Betti, Dini, Bianchi e l’insegnamento della matematica (Betti, Dini, Bianchi
and the teaching of Mathematics), guided visits to Scuola Normale Superiore historical math collection (chief organizer: A. Andrei)
2010
Two lectures on elementary number theory, targeted at high school students,
at Settimana Matematica 2010 (university open days), in Pisa
Last updated: August 23, 2014

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